The Structure and Properties of the FRB Multicountry Model Part I: Model Description and Simulation Results
Abstract
The FRB Multicountry Model (MCM) is a linked system of five quarterly national macroeconometric models of the United States, Canada, Germany, Japan, and the United Kingdom. The MCM emphasizes international linkages, and has equations for trade in goods and services, investment income flows, and exchange rates. This paper documents the current version of the MCM. The paper describes the theoretical structure of the model, and presents the empirical estimation results. The paper also describes a series of simulations of fiscal and monetary policy scenarios and external shocks. A complete listing of the model is given in an appendix.
International Finance Discussion Papers Number 293
October 1986
THE STRUCTURE AND PROPERTIES OF THE FRB MULTICOUNTRY MODEL PART I: MODEL DESCRIPTION AND SIMULATION RESULTS
by
Hali J. Edison Jaime R. Marquez and Ralph W. Tryon
NOTE: International Finance Discussion Papers are preliminary materials circulated to stimulate discussion and critical comment. References in publications to International Finance Discussion Papers (other than an acknowledgment that the writer has had access to unpublished material) should be cleared with the author or authors.
Abstract
The FRB Multicountry Model (MCM) is a linked system of five quarterly national macroeconometric models of the United States, Canada, Germany, Japan, and the United Kingdom. The MCM emphasizes international linkages, and has equations for trade in goods and services, investment income flows, and exchange rates. This paper documents the current version of the MCM. The paper describes the theoretical structure of the model, and presents the empirical estimation results. The paper also describes a series of simulations of fiscal and monetary policy Scenarios and external shocks. A complete listing of the model is given
in an appendix.
The Structure and Properties of the FRB Multicountry Model by
Hali J. Edison, Jaime R. Marquez, and Ralph W. Tryon*
I. Introduction and Summary
The FRB Multicountry Model is a linked system of five quarterly national macroeconometric models of the United States, Canada, Germany (Federal Republic), Japan, and the United Kingdom. The individual models vary in size from 150 to 250 behavioral equations and identities; also included in the system is an abbreviated sector representing the rest of the world. The country models are linked to each ot:her by equations modeling bilateral trade in goods, trade in services, investment income flows, and exchange rates.
The Multicountry Model (MCM) was built in the late 1970's at the Federal Reserve Board by a team led by Guy Stevens. The volume by Stevens, et al. (1984) describes in detail the theoretical and empirical structure of the original model, and analyzes its theoretical and empirical simulation properties. Since the original model was completed in 1979 it has undergone a series of modifications, and was substantially reestimated in 1984-85. This paper describes the current
version of the MCM.
*The authors are on the staff of the Division of International Finance, Board of Governors of the Federal Reserve System. This paper represents the view of its authors, and should not be taken to represent the views of the Board of Governors or of other members of its staff. The authors gratefully acknowledge the contributions of Richard Haas, Peter Hooper, Gary Shea, and Steven Symansky in developing the version of the Multicountry Model described here. Peter Hooper, William Helkie, Sean Craig, and Guy Stevens gave helpful comments on drafts of this paper; Margaret Gray and Michael Mabry provided valuable assistance in producing the final version.
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The major purpose of this paper is to document the MCM by providing as exact as possible a description of the equations of the model. We supplement this description with a series of simulations which show the basic multiplier properties of the MCM. The goal is to make the model accessible to those who might wish to analyze published Simulation results of the MCM, to compare the MCM with other multicountry models, or to use MCM results in other work.
This effort is motivated in large part by the results of a> recent conference at the Brookings Institution on multicountry modeling. ! The proceedings of this conference made clear that there is a substantial demand for empirical results from multicountry mocels, both directly for policy analysis and to use in other, non-econometric, modeling efforts. (See, for example, Frankel (1986), Oudiz and Sachs (1984)). But it was also made evident at the conference that the use of multicountry model results by others was greatly inhibited by the wide range of results obtained and by the impenetrability of the models themselves .2
Our paper is an attempt to explain clearly what is in the MCM, why it is there, what happens when the model is simulated, and why. The paper is organized into three major sections and two appendi‘ces.
Section II describes a simplified version of the theoretical model on
Ingmpirical Macroeconomics for Interdependent Economies: Where Do We Stand?", Brookings Institution, Washington, DC (March 1986). A volume of papers presented at the conference is forthcoming.
2Helliwell and Padmore (1985) presents an earlier effort to deal with this problem. ;
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which the MCM is based. Section III describes the actual specification of the equations in the MCM, and summarizes the key estimation results. Sectior: IV presents the results of simulations of fiscal and monetary policy actions, and exchange rate and price shocks, in the MCM.
The core of the paper is in the two appendices. Appendix 1 presents the detailed tables for the simulation exercises. There are four sets of simulations: a fiscal expansion, a monetary contraction, an exchange rate market shock, and a price shock. Each simulation is run for each country alone, and for all Five together. The simulations are set up so that the results may conveniently be expressed as multipliers. The effects both on the home country and abroad are shown.
Appendix 2 is the complete listing of the MCM. The equations are listed first, followed by a cross-reference table and a listing of variable definitions. The equation listing includes the regression results (coefficients, t-statistics, and summary statistics) for each estimated equation. Appendix 2 is printed separately, in Part II of the
paper.
Ii. Theoretical Structure
This section describes the theoretical structure of the Multicountry Model. We focus on a prototype model for a single open economy, since the Multicountry Model (MCM) is essentially five single country models linked together.
The prototype model is in many ways a conventional Keynesian macro model. There are four domestic agents: consumers, firms, commercial banks, and the government (fiscal and monetary authorities). There are four markets in the model: domestic output, labor, money, and bonds. Nominal wages are sticky, so that the amount of labor employed is variable and output can adjust to meet aggregate demand. The aggregate supply curve is given by producers, who set prices at a markup over variable cost. In contrast to the goods market, asset markets are perfectly competitive, and agents are assumed to be risk-neutral. short- and long-term securities are assumed to be perfect substitutes. Foreign and home currency bonds are also assumed to be perfect substitutes, so that open interest parity holds in the foreign exchange market. Expectations about future variables are adaptive.
The prototype model is shown in Table 1. This model contains the basic structural features of the MCM country model, but much of’ the disaggregated detail in the full model has been omitted. Furthermore, the functional form of the behavioral equations has been suppressec|, and
the notation has been simplified.
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Table 1. Simplified MCM Country Model a ee voencry Mogelt
Demand
(1) c = C(R, A(L)Yq) consumption
(2) I = I(K.,, AUC, AY) investment
(3) Xgs = X(Y*, P/EP*) real exports of goods and services
(4) Mgs = M(Y, P/EP*) real imports of goods and services
(5) Y =C+I+Get Xgs - Mgs goods market equilibrium
(6) Yq = Y + (TR-T)/P real disposable income
Money market
(7) M/P = Mq(Y, ig) money demand
(8) RF = RF(M, ig, ig) bank demand for free reserves
(9) RR = pM required reserves
(10) BU = RR + RF unborrowed monetary base (assuming no currency holdings)
(11) ig = C(L) ig term structure equation
(12) R = i, - p° real long-term interest rate
Supp_.y
(13) Q = F(K, L, Mj) production function
(14) Y= Q~- (Pmi/Pq) My definition of real GNP
(15) Pq = (16) P= (17) UC = (18) pe = (19) K
(20) W-W (21) M,
Exchange rate
(22) Ee (23) ze (24) E (25) CAB (26) CAB Notes
- an asteris
=1
= Pg(P*UC, W, Pmi» Y)
uc(R, 6, t)
B(L) PL,
= P° = \(L*L)
-1 = Fai (Py/P)
and balance of payments
% =i -i 3 3 ~ “e ¥e = Y(lnE - lnE) +P - -= 7? **% ¥ = X-(P° + p_i)s(p* + Pa) 1 -1 * ,
DNFAP - DNFAG = 0
k (*) denotes a foreign variable
supply curve of domestic out put
price of domestic absorption
real user cost of capital
expected inflation
capital stock
Phillips curve
imported intermediates
open interest parity ecndition
exchange rate expectations
long-run equilibrum exchange rate
current account balance
balance of payments identity
- ACL), BCL), and C(L) are polynominals in the lag operator
e sealar coefficients
- Fy(:*) is the partial derivative of F(*) with respect to x. - a dot over a variable denotes percentage rate of change
1 2 3. Yand iar 4 5
-T-
Variable definitions
BU C CAB
DNFAG
DNFAP
ig is
ig
gs
unborrowed monetary base real consumption expenditure current account balance
change in net foreign assets of the government
change in net foreign assets of the private sector
nominal exchange rate (local currency per
unit of foreign exchange) expected change in nominal exchange rate
expected long-run nominal exchange rate
real government expenditure
real investment expenditure nominal discount rate
nominal short-term interest rate
nominal long-term interest rate
foreign nominal short-term interest rate stock of physical capital
labor employed
labor force
money Supply
real imports of goods and services
(exogenous)
(exogenous )
(exogenous )
(exogenous )
(exogenous)
(exogenous )
Pmt
Pmi
RF
RR
TR
uc
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imports of intermediate inputs price of domestic absorption price of foreign absorption
domestic inflation rate (absorption deflator)
expected domestic inflation rate (absorption
deflator)
foreign expected inflation rate (absorption
deflator)
price of final imports
price of intermediate imports price of domestic output gross output
real long-term interest rate free reserves of banks required reserves of banks corporate tax rate
nominal government tax revenue nominal government transfers real user cost of capital nominal wage rate
real exports of goods and sources
expected long-run real exchange rate
real gross national product
(exogenous )
(exogenous )
(exogenou: )
(exogenous )
(exogenous ) (exogenous )
(exogenous )
(exogenous )
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Yq real disposable income
y* foreign real GNP (exogenous ) 6 rate of real depreciation (exogenous) p required reserve ratio (exogenous ) Demand
Consumption (equation 1) is modeled using a conventional life-cycle/permanent income approach, with a distributed lag on disposable income serving as a proxy for permanent income. The real interest rate is also a determinant of consumption. The investment equation (2) is developed along standard neo-classical lines, with the desired capital stock as a function of both the level of output and the real user cost.of capital. Net investment is the difference between the desired and the previous period's capital stocks. (In the full model, investment is disaggregated into residential and nonresidential components. )
Imports of final goods and services (equation 4) are a function of real income and relative prices. (Imports of intermediate inputs are included in the supply block.) Exports of goods and services (3) are a function of foreign real income and relative prices. These equations determine net exports of goods and services in real terms.
The nominal value of net exports is determined by the current account identity (equation 25). Because home and foreign currency bonds are assumed to be perfect. substitutes, the capital account of the balance of
payments is a residual given the current account (equation 26).
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The modeling of the international accounts in the full MCM is much richer than in the prototype model presented here. In the full model, goods trade is disaggregated by region. Trade in services, and direct and portfolio investment income receipts and payments are all modeled separately. Consumption of and trade in petroleum are also modeled, although these equations are auxiliary to the main model, since the goods trade equations are for total trade. The disaggregated detail adds a great deal to the empirical properties of the MCM, but the basic theoretical structure is essentially the same as in the model presented
here.
Money Market
The money market is modeled with the private non-bank demand for money (equation 7), and banks' demand for free reserves (equation 8). Together these generate the demand for the unborrowed monetary base, which is set by the monetary authorities. (This definition of the base ignores currency holdings.) In the full MCM money demand is disaggregated into currency, demand deposits, and time deposits.
The bond market is not modeled explicitly, since with only two assets (money and bonds) it is redundant. For given nominal income the .nominal short-term interest rate clears the asset market. ‘(There is no equities market in this model.) The nominal long-term interest rate is determined by the term structure equation (11). Since long- and short-term bonds are assumed to be perfect substitutes, the long-term
rate is the cumulation of expected short-term rates, which are modeled
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as a distributed lag on past rates. The real long-term rate equation (12) is the difference between the nominal rate and expected inflation,
which is in turn a distributed lag on past inflation (equation 18).
Suppl.y
Equations 13-21 show the modeling of aggregate supply. The production function has three factors: capital, labor, and imported intermediates.3 The production function determines gross output; real GNP is measured net of imported inputs, in equation 14.
The producer's problem is to maximize profits given the constraints imposed by the production function, the demand for output, and actor supplies. (We assume that producers can set prices in the market for output.) The first order conditions for this problem yield demand functions for each of the three factors, the supply curve of output, and the production function itself. Because aggregate demand is determined by equation (6), any one of these conditions is redundant, and imaay be omitted from the model. In the prototype model, the demand for ‘labor function is omitted, and the quantity of labor employed is determined by the production function. The demand for capital is implicit in the investment equation, and the demand for imported inputs
is given by the first order condition, equation 21.4
3In the MCM itself, imported intermediate inputs are subdivided into oil and other inputs. "Other inputs" are then approximated by total non-fuel imports.
4tn the full MCM, this equation is combined with imports of final goods to generate a demand function for total imports.
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This prototype model suppresses some important details in the modeling of the supply side in the full MCM. Here we assume that capital is always fully employed, while in the MCM it is assumed that capital is employed at the economy-wide utilization rate, equal to the ratio of actual to potential output. This latter approach recognizes the empirically important fact that capital is not always fully utilized, while it avoids the difficult problem of modeling the decision to take capital out of use.
The full MCM also distinguishes between labor hours and employment. Again, the difference is empirically important in estimating the production function. However, we do not explicitly model the firm's choice between hiring new workers and paying overtime, and instead we simply link employment to hours worked. The labor force is also endogenous in the full model. And finally, the full model distinguishes between the price of exports and the price of domestic output for domestic consumption. Firms are assumed to be able to price-discriminate between the home and foreign markets, so that tthe price of exports can differ from the price of domestic output sold at
home.
Exchange Rate In the prototype model, and in the full MCM, we assume ‘hat bonds denominated in home and foreign currencies are perfect subszvitutes.
That is, we assume agents are risk-neutral, so there is no risk premium
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on foreign currency assets. As a result, the open interest parity condition holds (equation 22), which equates expected returns on home and foreign currency assets. This condition is used to determine the nominal exchange rate, given expectations about future appreciation or depreciation.
The expected change in the exchange rate, equation (23), is assumed to reflect partial adjustment toward long-run equilibrium and complete adjustment in response to expected inflation differentials. The long-run value (equation 24) is in turn a function of the long-run real exchange rate (assumed constant), and expected relative price levels. In this model the balance of payments identity (equation 26) serves only to identify the net private capital inflow or outflow which corresponds to the current account. Because of the assumption of perfect substitutability we do not need to model explicitly the demands for kiome and foreign currency assets.
This approach differs substantially from earlier versions of the MCM (Stevens et al. (1984) and Hooper et al. (1983)), which do not assume perfect substitutability and therefore model capital flows explicitly. Our present view is based on a growing body of empirical work which fails to obtain satisfactory estimates of capital flow or bond demand equations. While there are many studies which find evidence of a risk premium on foreign currency assets, we know of none which has
succeeded in relating this premium to economic variables in a structural
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equation. As a result we conclude that perfect substitutability is an appropriate assumption for a model of this type. Tryon (1983) and
Danker et al. (1984) develop the empirical argument.
Comparative Statics
In addition to providing an overview of the MCM, the simple theoretical model presented above is of interest because it is analytically tractable. We now exploit this property to present some simple comparative statics. exercises which derive the basic results to be expected from the simulation experiments in Section IV below.
The static solution to the model is straightforward to obtain, and is presented in a standard IS-LM framework. We assume for Simplicity that the initial equilibrium is a stationary state, with no growth in real or nominal variables. The long-run solution also depends on dynamic effects, which enter the model in several ways. Consumption depends on lagged income, and investment depends on the change in income. The term structure of interest rates, expected inflation, exchange rate expectations, the capital stock, and wages all follow dynamic processes.
Without placing further restrictions on the form of these dynamic processes it is difficult to say anything definitive about, the long-run solution of the model. In particular, it is not necessarily true that the economy in this model would return to a stationary equilibrium following a shock, or that agents would expect it to. Even
in a model as simplified as this prototype, the dynamic properties can
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only be determined by simulation. Here we just indicate some of the possibilities.
Figure 1 shows the interaction between the goods and asset markets with the usual IS, LM, and BOP schedules. The figure also ‘includes a vertical line representing the full employment level of output, which is conditional on the amount of factor inputs. Changes in the amounts of either productive factor shift the full-employment out put level, a shift that depends on the elasticities of substitution among different factors. Aggregate demand and supply schedules determine the price level, but they are omitted for simplicity.
The IS curve is obtained by substituting equations (1)-(4).
into (5) to obtain Y= C(R, Y,, P°) + 1(K.4, AUC, AY) + G + NX(¥, Y*, P/EP*),
where NX = Xgg - Mgg- An increase in domestic interest rates lowers aggregate demand and thus requires a reduction in real income to maintain equilibrium in the goods market, giving rise to a negative association between interest rates and income.
Asset market equilibrium is derived from equations (7)-(10), which can be arranged to yield?
P + Malis, ¥) = [1/r(ig, ig, p)] BU
Dunder the assumption of no currency holdings, money holdings just equal deposits in the banking system. As a result the money multiplier, M/BU, equals ((RR+RF)/M)~! which is equal to the inverse of the reserve-deposit ratio.
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\ vm \ 7 IN 7 “ 7 \ . , 7 IM “ 7 . ZA “~ SN \ 7 7 AN 7 7 \ 7 \ va ~ i* A nop “ “ ‘ \ NX Is' Is Y y2 Figure 1
Fiscal Expansion
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where r is the reserve/deposit ratio of commercial banks, with (ar/dis) < 0. An increase in real income produces an increase in the demand for real balances which, in the absence of any monetary accommodation, leads to an increase in nominal interest rates giving rise to an upward sloping LM schedule. However, because the MCM includes a banking sector, the increase in money demand is partly acccmmodated by a reduction in bank reserves. This partial acecmmodation tends to lower the slope of the LM schedule relative to the case of no monetary accommodation.
For the purposes of this comparative static exercise, the Supply side of the model is represented by equations (13)-(14) as
Y = F(K, L, Mj) - (Pmi E/Pq)Mj-
Each argument of the production function is assumed to be at its optimal value as determined by equations (15), (17), and (19)-(21). In (i, Y)-space, the supply side of the model is represented by a vertical line, as in Figure 1.
Finally, the international capital market is represented by the horizontal line in Figure 1, where domestic interest rates are equal to foreign interest rates. This equalization of interest rates stems from the assumption of perfect capital mobility. Substitution of
equa‘sion (22) into (23) yields
(17y)(4, - 4") = (an B - an &) + (1/y)(p® - B*°),
-1 Twhich can be re-arranged as
Inge iné ~ (i/n[(i, - Pe) - (4," - P*°)).
- . *% If the original equilibrium is stationary, E = E and p° =P — Cc, so
that the domestic short-term interest rate is equal to the foreign rate. An increase in domestic interest rates over foreign interest rates
produces a temporary appreciation of the home currency.
Fiseal Expansion
Figure 1 shows the effects of an exogenous increase in government purchases, with point A representing the initial equilibrium. An increase in G shifts the IS schedule to the right, raising aggregate demand above aggregate supply. This excess demand raises the price level and reduces real balances, producing an upward shift in the LM schedule. As a result, domestic interest rates are higher than foreign rates, and the home currency appreciates.
This appreciation has several effects which tend to offset the initial impact’ on output and prices. First, it lowers the domestic price of imports and raises the availability of imported inputs used in production. As a result, there is an increase in the full employment level of output. Second, there is a decrease in net exports which shifts the IS schedule to the left. Third, the increased supply of domestic output, along with the lower price of imported finished goods,
lowers prices and raises the stock of real money shifting down the LM
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schedule. These effects are presumably of a second order of magnitude, so the initial equilibrium is at a point such as B.
The rise in domestic interest rates also has important dynamic effects on investment demand. The real long-term rate rises over time, as the change in the short rate works through the term structure and as the drop in the price level affects inflationary expectations. The rise in the real rate lowers investment demand, and therefore lowers the real capital stock. This reduction tends to offset the positive effect on supply of the exchange appreciation, and over time the increase in
out.put tends to be "crowded out."
Monetary Contraction
Figure 2 shows the effects of a decrease in the money supply. The initial equilibrium is at point A. A reduction in the stock of money
is reflected as an upward shift in the LM schedule. The temporary equilibrium is depicted by point B, which shows that the interest rate is higher, and the level of output lower, relative to the original equilibrium. The fall in output reduces prices, which raises real money balances and tends to offset the initial shift in the LM curve.
At point B, there is an incipient capital inflow that appreciates the domestic currency which gives rise to several effects. As in the case of the fiscal expansion, this appreciation makes domestic output less competitive, shifting the IS schedule to the left. (This
shift tends to be offset by the reduction in the overall price level.)
-] 8A-—
LM’ a “ 7 7 a“ \ 7 \ BY \ \ 7 \ ” 7 aa ‘\ ee A i* \ \ nN \ \ XN Noe Is yo Figure 2
Monetary Contraction
————- BoP
IS
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The appreciation lowers import prices, again raising the real stock of money, and the LM schedule shifts rightward.
Investment is lower at the higher real interest rate, and is also reduced due to the fall in income. As a result the capital stock, and the level of full employment output, are lower than in the initial
equilibrium,
Exchange Rate Depreciation
Because the exchange rate is an endogenous variable in this model, we assume that the long-run equilibrium real exchange rate, which is exogenous, undergoes a one-time increase which is immediately transmitted to the nominal exchange rate. This results in a rise in the exchange rate E (a depreciation of the home currency).
An exogenously-induced depreciation affects several sectors of the economy simultaneously. The depreciation raises the cost of imported intermediate inputs, which tends to reduce aggregate supply.
At the same time, the depreciation also increases aggregate demand because of the switch in expenditure from foreign to domestic goods.
With the monetary base exogenous, an increase in the price level produces a reduction in the real stock of money that leads to an increase in domestic interest rates. Since both the IS and LM curves shift. upward following a home currency depreciation, the impact effect
of the depreciation on real output is ambiguous. Whether. income rises
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or falls, however, the initial effect will tend to be offset over time in the same way as described above for the fiscal and monetary shocks.
We might note here that there is no guarantee that the real exchange rate will actually adjust so as to reach the new equilibrium value. Because expectations are adaptive, and not "rational", inconsistencies between expectations and realizations can persist indefinitely. Furthermore, because we do not invoke rationality to keep the economy on a stable path to a steady state, the long-run
properties of this model are essentially unconstrained.
Supply Shock
The initial impact of an exogenous reduction in labor productivity is to lower the level of full-employment output. Asa result, there is an increase in the price level which lowers the real stock of money and therefore shifts the LM schedule to the left. Output necessarily falls, but the effect on interest rates is ambiguous.
Assuming that domestic interest rates rise, the home currency appreciates, shifting the IS schedule further to the left. The rise in interest rates also lowers investment and the capital stock, so that output remains below the initial equilibrium level. On the other hand, if the price effect is not strong enough to offset the fall in income and raise interest rates, rates will fall and output will tend to rise
back toward its initial level.
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Ill. Implementation of the Theoretical Prototype in the MCM
This section gives a detailed description of the structure of the Multicountry Model and discusses some of the highlights of the empirical estimation results. The aim of the section is to provide a link between the abstract theoretical prototype presented in Section II and the detailed listing of the MCM itself in Appendix 2. The focus in this part is on clarifying the specification of the individual sectors and equations. While conceptually the MCM follows closely the theoretical prototype described above, much of the disaggregated detail can be confusing. There is relatively little discussion of the actual estimation results, which are presented as part of the equation listing and largely speak for themselves.
The plan of this section is to describe in turn each of the sectors in the standard MCM country model. In some ways this is the same idea as in Section II, but here we discuss as much of the disaggregated detail as possible. Also, we introduce the notation actually used in the MCM, and make explicit the functional form of the equations. For the sake of concreteness the discussion uses examples from the German country model, which is listed in Appendix 2. The construction of the other country models is basically similar, although
there are some important differences which we note below.
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The General Structure of the MCM
Each MCM country model is organized in sectors and sub-sectors
as follows:
I. Domestic Real Side A. Domestic Spending and Disposable Income B. Government Sector C. Private Savings and Wealth
II. Current Account
A. Import of Goods Export of Goods - Import of Services and Transfers - Export of Services and Transfers - Balances
mow
III. Domestic Financial Market A. Monetary Aggregate B. Private Banking Sector Interest Rates C. Monetary Authorities
IV. Prices and Supply A. Prices B. Wages . C. Capacity and Real Capital Stocks
V. International Financial Market A. Direct Investment Claims and Liabilities B. Other Capital Flows C. Exchange Rate Relationships
VI. Official Intervention and Balance of Payments
VII. Foreign Variables
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The general logic of this organization is to develop a model of increasing complexity. The country model starts with the real demand side of a closed economy (sector I). The addition of sector II, the current account, creates an open economy model. Sector III contains the equations of the domestic financial market, which extends the model to the standard IS-LM framework. The next sector, IV, endogenizes the supply side of the model. Sector V extends the model to include international financial stocks and flows and endogenizes the exchange rate. Sector VI contains the authorities' exchange rate intervention reaction function. This addition augments the model to include managed floating regimes. The last sector, VII, includes the definitions of
weighted averages of foreign country variables.
Equation Specification and Estimation
The MCM is estimated using a quarterly database over the period from approximately 1968:1 to 1982:4. (The exact range for each equation is given in Appendix 2.) The data are from national sources, typically the central bank and the national statistical office, except for bilateral trade data, which are from the Direction of Trade data of the International Monetary Fund.
The equations are estimated using either ordinary least Squares or generalized least squares. While simultaneous equations bias is obviously an important problem in any structural macro model, both
systems estimation and single-equation methods for correcting
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Simultaneity were rejected as impractical for a project of this scale. Both estimation and simulation of the MCM are done using the TROLL Statistical package, (An important feature of TROLL is that it uses the Newton-Raphson solution algorithm, which does not require equations to be normalized on a single endogenous variable.) Our version of TROLL has been modified to generate regression test statistics and diagnostics similar to those in the GIVE package (Hendry, Morgan, and Srba (1984) ). In specifying the functional form for estimated equations we relied on three types of evaluation criteria. These were tests for data coherency (goodness of fit, absence of residual autocorrelation and heteroskedasticity), parameter constancy (stability across time periods), and consistency with theory. This last category included not only the usual restrictions on signs and sums of coefficients, but also a concern for the dynamic properties of the completed model. In some cases these criteria led us to do considerable experimentation with the functional form and to make compromises with both theoretical and
econometric norms.
Domestic Spending and Disposable Income (Sector I.A.) The first equation in each of the country models is the consumption function. The consumption equations are based on the
permanent income (or life cycle) theory, and have two main explanatory
6center for Computational Research in Economics and Management Science, Massachusetts Institute of Technology, Cambridge, Massachusetts.
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variables: personal disposable income, and the real interest rate, Which is scaled by real wealth. Permanent income is approximated by a distributed lag on past disposable income. In the German equation (336, Appendix 2), GRS is the nominal short-term interest rate, and GPEXP is the expected inflation rate (a distributed lag on past inflation). GNWR is real net wealth, which is the cumulation of disposable income less consumption.
This consumption function is specified in logarithmic form. In order for the average propensity to consume out of permanent income to be a constant in this specification, it is necessary that the long-run elasticity of income with respect to income be unity. This. condition is closely approximated in the MCM; the long-run elasticities in Germany, Japan, the U.K., and the U.S. are .976, 1.12, 1.0, and 1.09, respectively.
In all of the non-U.S. models, private fixed investment is broken down into residential and non-residential components. The U.S. model further divides nonresidential investment into producers' durables and producers' structures. Equation (2) in the theoretical model of Table 1 provides the basic point of departure for the investment equations. One innovation in the current MCM is a new measure of the user cost of capital. The formula used in the calculation is:
uc = [(1- T+ Z- x)(R+D)]/(1 - 7)
7TThe U.K. consumption function is estimated with an error-correction specification which imposes the long-run elasticity; the Canadian equation is estimated in levels.
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where
UC = real user cost of capital
T = corporate tax rate
Z = present value of depreciation (tax allowance) X = tax incentives to investment
R = real interest rate
D = rate of economic decay (rate of replacement)
The measure of the real interest rate, R, used here is the real after
tax rate, defined as: R= (1-T) i- Pe
where pe is the expected inflation rate. As in the rest of the MCM, expected inflation is based on a polynomial lag on past inflation. The modeling of the expected inflation term is explained more fully below. The German investment equations are numbers 337 and 338 in Appendix 2. In these equations, the constraint Suggested by the theory is that GNP and user cost have the same coefficients. This const:raint gave implausible results in estimation, and therefore the two terms were included separately and unconstrained. In the equation for German nonresidential investment (GIFPNR), the first term after the constant is
depreciation on the last period's capital stock -- this puts the
equation on a net investment basis. The next term is the lagged dependent variable, followed by the change in GNP, which is a proxy for changes in the desired capital stock. The next term is the change in the real user cost, followed by the change in capacity utilization, which is another proxy for changes in the desired stock.
The equation for German residential investment (GIFPR) is similar to the nonresidential investment equation, except that the activity variable is real disposable income, and the user cost appears in level, and not change, form. This last detail is one of several theoretical anomalies in the MCM investment equations; these represent adjustments needed in order to obtain "plausible" results for the estimated coefficients.
The German model also contains an equation for inventory investment (equation 339). The specification is a standard stock adjustment equation, with the desired stock assumed to be a constant share of private sales (GC + GIF + GXG - GMG). This specification perfcrmed very poorly for the other country models, and in those models inventory investment is simply held exogenous.
Since the investment equations are estimated on a gross basis, it is necessary to explain capital consumption allowances (CCAV) in order to obtain net investment. The German equation is number 340. The real value of capital consumption (GCCAVNSA/GP) is regressed on the real
capital stock (GK). This procedure in effect treats the consumption
-28-
The remainder of sector I.A includes the real GNP identity (equation 341, Appendix 2), and a series of identities defining nominal values of national income variable. Equation 354, in Appendix 2, defines disposable income as net national income plus net transfers from
the government and foreign sectors.
Government Sector (Sector 1.B.)
Real government spending on goods and services is exogenous in each of the models. However, total government expenditure is not, because government transfers are endogenous. Government tax revenue is also endogenous. The MCM aggregates over all levels of government, local, regional, and national, so there is usually only one tax and one transfer variable in each country model.
The general specification of the transfer equation is:
TRANV = ag + a,(UN * LF/100) * P
+ ao(L) [RL * (GDEBT - NGP)] + a3(POP * P) The first term captures unemployment compensation. This specification assumes that compensation per unemployed worker is held constant in real terms. The next term represents interest payments on government debt held in private hands. The lag is included to capture (at least to a rough approximation) the maturity structure of government debt. The last term captures social insurance payments, again assumed constant
(per person) in real terms.
-29~
In the United States and Germany government interest Payments are modeled separately. The German transfer equations are numbers 358 and 359. The German transfers equation omits the term in the population and price level; the interest payments equation uses the government debt held by the public multiplied by an average interest rate as an explanatory variable.
The aggregate tax equation for Germany (360) regresses the share of taxes in national income on the corporate and personal income tax rates (GTRYC and GTRY). This specification is also used for Japan and the United States. Tax revenue in Canada is disaggregated into direct and indirect receipts. In the U.K. model, taxes for expenditures (VAT), import duties, and all other taxes are broken out. The U.K. model, like the others, uses nominal GNP and personal and corporate tax
rates to explain nominal government revenues.
Private Savings and Wealth (Section I.C.)
This sector contains the identities which define private wealth. Private wealth is divided into financial net worth (equations 365 and 366), which is assumed to consist of assets fixed in nominal
terms, and real capital (equation 367), which is fixed in real terms.
Current Account (Sector II.)
This sector of the model contains the equations explaining merchandise trade, trade in services, including investment income flows, and external transfers. The current account sector of the U.S. model differs substantially from the other four country models because it is
based on a more detailed model of the U.S. current account developed at
-30-
the Federal Reserve Board. (See Helkie (1986) for more details.) The major difference is that the U.S. model contains aggregate, not bilateral, equations to explain total nonagricultural exports and nonoil imports. Oil imports and agricultural exports are modeled separately in the U.S. model. Bilateral trade equations are used to explain intra-MCM
trade flows vis-a-vis the United States, but not the U.S. totals.
Imports of Goods (Sector II.A.)
The Multicountry Model uses bilateral import-demand equations to explain each country's goods imports from each of the other four countries and ROW, as well as ROW's imports from each of the five MCM countries. Total imports of each country are obtained by summing its bilateral imports, and total exports are determined by summing the imports of the other countries and ROW from that country. (As noted above, the totals for the United States are obtained from separate equations.) The main advantage of using bilateral trade equations (as opposed to a trade share matrix) in a multicountry model context is that the effects of changes in bilateral endogenous exchange rates, which affect bilateral trade patterns, can be handled explicitly.
To estimate a given bilateral trade flow, one can use either the source country's export data or the receiving country's import. data. In principle, the values ought to be the same, but due to differences in coverage and reporting delays this is usually not the case. In most cases, the MCM uses the bilateral export series of the shipping country in estimating the behavioral equations, and uses "bridge equations" to link the export series to the corresponding import data of the receiving
country.
The basic specification of the bilateral import-demand equation used in the model is as follows: log[XIJV/(PXGy + EIy)] = ag + ay4j log(GNP,) + aij log(Pj * EIy/PXGy * EI,) where XIJV = value of exports of country i to country j (customs basis) in billions of U.S. dollars PXGj = export unit value index of country i expressed in currency i EI; = exchange rate index of country i (U.S. dollars per unit of currency i)
GNP j
real gross national product of country j. Table 2 shows the estimated income and relative price elasticities for bilateral imports and exports of the five MCM countries.
The German bilateral import equations are numbers 372-377 in Appendix 2. In the German and Japanese models, the ROW sector is divided into other OECD (area "I"), non-oil LDC's ("L"), OPEC ("0"), and other ("Z"). German imports from the United States and Japan are estimated using foreign-country exports as the dependent variable; equations 381 and 382 in Appendix 2 are the quasi-identities which link to the corresponding German import series, (In fact, the variable MGUV appears on the left-hand side of both equations 375 and 382. This is possible because the model is automatically renormalized before
simulation.)
United United Canada Kingdom Germany Japan States
IMPORTING COUNTRY
Canada.......... -- 0.2 1.2 2.2 1.1 United Kingdom.. 1.1 -- 1.5 1.0 1.6 Germany......... 1.4 1.0 -- 1.5 1.2 Japan........... 1.0 1.0 1.0 -- 0.8 United States... 1.5 1.1 2.0 1.9 --
Long Run Price Elasticities of Bilateral Import Demand
United United Canada Kingdom Germany Japan States
Canada.......... -- -1.5 -0.9 -1.2 -0.7 United Kingdom... -0.7 -- -0.6 -1.4 -1.3 Germany......... -0.8 -0.4 -- -1.9 -0.5 Japan..........- -0.8 -0.8 -0.7 -- -0.5
United States... -0.7 -0.9 -1.8 -1.2 -~
-32-
In addition to the aggregate goods trade equations, this sector contains equations which explain imports of petroleum. There is a demand function for oil consumption of the general form:
OPOIL )
log(COL) = ag + log(GNP) + ao log (= tpi
where COL is the volume of oil imports, OPOIL is the price of oil (the average OPEC contract price), GNP in real income, P is the price level, and EI is the exchange rate index (dollars per unit of local currency). The unit income elasticity of oil demand is imposed in estimation.
The volume of oil imports is derived from an identity, assuming that domestic production, stockbuilding, and exports are all exogenous. This identity is equation 378 for Germany. The value of oil imports is obtained from a quasi-identity (equation 379), which links the value series to the volume of oil imports times the oil price expressed in local currency. German imports from OPEC are assumed to be a fixed share of German oil imports (equation 380). Oil imports from non-OPEC countries are added to total imports in equation 384; an exogenous adjustment factor (GMGVADJ) is subtracted from the total to avoid double counting. This procedure ensures that when the model is
simulated, changes in the oil price will affect the value of. imports.
Exports of Goods (Sector II.B.) The goods export sector in each country model is quite
limited, containing only the identities and bridge equations needed to
-3 3-
determine home country exports given foreign country imports. These are equations 386-390 for Germany in Appendix 2. Again, the U.S. model is an exception, with behavioral equations for total agricultural and non-agricultural exports. The Canadian and U.K. models also have
identities linking the value of oil exports to oil prices.
Imports of Services and Transfers (Sector II.C.)
In addition to merchandise trade, the current account for each country includes equations which describe payments and receipts of services and transfers. However, unlike the goods trade flows, these components of the current account are treated on a multilateral rather than a bilateral basis. (This is because bilateral data on trade in services is not available for most countries.) Equation 391 in Appendix 2 explains German imports of services other than investment income payments (GMSOPV). The specification is straightforward, with real income and relative prices as the explanatory variables.
Investment income payments consist of interest payments on financial (portfolio) liabilities to foreigners and income on foreign direct investment holdings in the home country. The basic specification for the direct investment payments equation is
MSYDV
RLTDL * PGNP ~ 20 * 41 A
where MSYDV is direct investment income payments, RLTDL is the stock of
real direct investment liabilities, PGNP is the GNP deflator, and A
—34-
represents home activity -- either capacity utilization or unemployment. — Equation 392 in Appendix 2 is the corresponding equation for Germany. The idea behind this specification is that nominal earnings on direct investment should vary directly with the stock of real direct investment holdings and the price level in the host country. They are also likely © to depend on the level of business activity.
A different specification is used for the portfolio investment income payments equation. Here we are modeling mainly interest payments, and therefore the explanatory variables are the short-term and long-term domestic interest rates. The basic specification is:
MSYDNV
LP” = a + a1(L) RS + ao(L) RL
where MSYNDV is non-direct investment income payments, FLP is the stock of real non-direct liabilities to foreigners, RS is the short-term nominal interest rate, and RL is the long-term rate. The left-hand-side variable is simply the imputed interest rate on portfolio liabilities paid to foreigners, which is modeled as a distributed lag on home-country interest rates. Equation 393 in Appendix 2 is the German portfolio investment income equation.
The remaining item in the current account on the import side is transfer payments. In some cases these flows are broken down between government transfers and private transfers. Transfer payments are
expressed as a function of nominal GNP or disposable income, as in
-35-
equation 394 in Appendix 2. This sector also contains the equations which link the balance of payments measure of total imports to the national income accounts.
Exports of services, and direct and portfolio investment income receipts (equations 403-414 for Germany in Appendix 2) are modeled in analogous fashion to service imports, in sector II.D. Weighted averages of foreign variables replace the home-country variables where appropriate. Sector II.E. contain the identities which
define the current account balance and its components.
Domestic Financial Market (Sector III.)
The financial sector of the MCM country models contains two major components: the money demand equations and the term structure of interest rates. The modeling of each component is based on the portfolio approach. The monetary sectors in the MCM are similar to that in the MIT-Penn-SSRC model of the U.S. economy (Brayton and Mauskopf (1985)). One important difference is that in the non-U.S. models the unborrowed monetary base is treated as endogenous and the exogenous (target) variable is a monetary aggregate, or in the case of Canada, the short-term interest rate. |
In the U.K. monetary system the demand for base money is not easy to define, in view of various special institutional factors. Therefore a different model was specified for the U.K. monetary
sector: the short-term interest rate is assumed to be set by the
~36-
authorities and the money supply adjusted to accommodate this rate. The Bank of England's minimum lending rate is used as the target interest rate for the historical estimation period. The spread between long and short-term rates is determined by the stock of long-term government debt. Thus iri the U.K. model, unlike the other country models, there is a
direct link between the government deficit and interest rates. Stevens,
et al. (1984) provide more details.
Monetary Aggregates (Sector III.A.)
In the MCM, the demands for currency, demand deposits, and time deposits are modeled separately. In each case the principal explanatory variables are the opportunity cost of holding the asset and the volume of transactions; the latter is approximated by either GNP or personal consumption expenditures. The functional forms for the equaticns for each country are as follows:
log(CUR/P) = ag + ay (L) log C + ap (L) RS
log(DD/P) = ag + ay (L) log GNP + ap (L) RS
log(TD/P) = ag + a, (L) log GNP + ap (L) RTIME where CUR, DD, and TD are currency, demand deposits, and time deposits, respectively, P is the price level, RS is the short-term interest rate, RTIME is the time deposit rate, C is real consumption expenditure, and
GNP is real national product.
The German money demand equations are numbers 421-425 in Appendix 2. In addition to time deposits, savings deposits and bank deposits held by foreigners are also modeled; the functional form follows closely the prototype specified above. The upper part of Table 3 reports the long run elasticities of demand for currency and demand deposits with respect to income, for each country. The estimates for these long run elasticities lie in the range between .23 and 1.35, and are generally plausible and consistent with theory. The lower part of
the table reports the interest rate semi-elasticities.
Private Banking Sector and Interest Rates (Sector III.B.)
To complete the specification of the monetary sector it is necessary to determine banks' demand for free reserves. This component, plus the demand for required reserves derived from money demand, generates the private sector demand for the unborrowed monetary base, which is assumed to be the authorities' control variable. In the free reserve equation two explanatory variables are used: the short tern interest rate (RS) represents the opportunity cost of excess reserves, and the discount rate is the cost of borrowed reserves. Free reserves are scaled by net deposits at banks. The actual specification takes the
form:
RF NDD ~ %0 + %1 RS + ap RD
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TABLE 3
Currency COUNTRY Canada......... 1.17 United Kingdom. 0.64 Germany........ 0.23 Japan.......... 0.63
United States.. 0.66
Demand
0.81% 0.87 1.35 0.43 0.80
Long-Run Interest Rate Elasticities for Money Demand Equations
Currency COUNTRY Canada......... -0.02 United Kingdom. -- Germany........ -0.07** Japan.......... -0.01
Notes to Table:
Canadian Ml ** semi-elasticity
Demand Deposits
-2.53%* -0.33 -0.02** -0.06 -0.01%%*
~38-
where RF is free reserves, NDD is demand deposits net of required reserves, RS is the short-term rate, and RD is the discount rate. The free reserves equation for Germany (435, Appendix 2) is normalized on the short- term interest rate and is estimated in first difference form. The basic equation, however, is the same as that given above. Thisrespecification, which was also used for Japan and the Uniter States, gives more plausible paramet er estimates than the original form. This sector of the German model also has an equation for currency held by banks (343), which is a component of total | reserves.
The short-term interest rate is determined in the money market. Given the derived demand for the monetary base, the central bank balance sheet identity (equation 442 ror Germariy}” i8“the fiarket’equilfbrium. condition, and the interest rate clears the market. The German model is a variation on ‘the: Basic structure, - ‘since central bank money (GCBM) is assumed to be exogenous, and the ‘central bank balancé: sheet simply determines the. ‘change in position AGOTHRB needed ho: “Support the target.
The. time. deposit rate. and. other short- -term. interest rates are linked to the. treasury bill rate. with bridge. equations. Equations 436 and 437 in Appendix 2 give examples for Germany. This procedure is not quite consistent with our theory, since we do not model both sides of the market in these assets. However, the disaggregation of money demand into its components seems to be a more satisfactory approach from the empirical standpoint than estimating an aggregate. equation.
Given the short-term interest rate, the modeling of the other interest rates reflects the assumption that arbitrage ensures that expected holding period yields are equal across assets. (This follows
from our assumption that short and long-term bonds are perfect
-39-
substitutes.) This implies that the long-term bond rate equals the mean of the current and expected yields on short-term assets over the lifetime of the bond. Assuming that expected future yields on short-term assets can be roughly approximated by a distributed lag on past short-term rates, we can model long-term rates as a distributed lag on past short rates. The specification of the long-term interest rate is then simply:
RL = ag + a,(L) RS The German long-term interest rate equation is number 438. Some of the other models also have a mortgage rate or other long-term interest rate; these additional long-term rates are modeled using a similar
specification.
Monetary Authorities (Sector III.C.)
Equation 442 is the balance sheet identity of the German central bank. Because the German authorities are assumed to set a target path for central bank money (equations 443 and 444), the balance shee’: identity simply determines the change in base money (GOTHBB)
needed to reach that target.
Prices (Sector IV.A.) Each MCM country model has three key price variables: the export and import unit values (PXGUV and PMGUV), and the absorption (or
domestic expenditure) deflator (p).8 The basic specification differs
8pomestic absorption is defined as GNP less exports, plus imports. Unit values are used because price data are not generally available for traded goods.
-0-
from the theoretical prototype, in that the absorption deflator is used instead of the price of gross output in the main price equation. Data on the price of gross output are not readily available for the MCM countries, because the price of imported intermediate inputs is not easily obtained.
As described in the theoretical section, prices are set; by suppliers to maximize profits given demand, and thus the price equation represents the aggregate supply function in the model. The prices of exports and domestic output are treated separately, since producers are assumed to be able to price-discriminate in the home and foreign markets. The price of imports is given by the foreign export supply prices.
The absorption deflator is modeled as a weighted average of the price of domestic output and the price of imports. We substitute in the determinants of the domestic output price to obtain the general
specification for the absorption deflator:
POIL
log P =a. + a, (L) log UC + a,(L) log W + a,(L) log Fi
0
+ ay(L) log PMNOIL + a5(L) UN
where P = absorption price deflator UC = user cost of capital W = nominal wage rate POIL = price of imported oil in dollars EI = exchange rate index ($/local currency) PMNOIL = price of non-oil imports in local currency
UN = unemployment
-41 -
The user cost of capital and nominal wages enter as part of the cost of production. The prices of nonoil imports and oil reflect both the cost of imported intermediate inputs and the price of components of final demand. The unemployment rate is included as a proxy for aggregate demand slackness. This last term is somewhat ad hoc; specifying a satisfactory demand variable is difficult in practice.
Equation 448 in Appendix 2 is the equation for the German absorption deflator. The factor price terms enter in such a way that the sum of their coefficients is necessarily 1.0, as implied by the production function.9 The unemployment rate enters in inverse form, with the expected positive coefficient. Note that the price of net domestic output (GDPOM) implied by the absorption deflator is also computed, in equation 457.
Table 4 summarizes the parameter estimates of the absorption price equation for all countries. The elasticity of wages with respect to prices ranges from .55 to .74. This range is quite narrow, and is reasonably close to the shares of wages in national income. The effect of oil prices on the absorption deflator is consistently positive for
all 5 countries. The unemployment rate, although specified differently
9IThis constraint holds only if we assume that the prices of nonoil imports and oil reflect only the cost of inputs, and not the price of final demand. This constraint is not imposed on the production function in the other country models in the MCM,
-41A-
TABLE 4
VARIABLES Wage POIL/EI PMNOIL UN* COUNTRY
Canada......... 0.70 0.03 0.23 -- United Kingdom. 0.74 0.04 0.25 -0.001 Germany........ 0.71 0.02 0.25 0.048%% Japan.....seees 0.55 0.0004 0.07 -0.010 United States.. 0.65 O.07*** -- -0.006*%*
Notes to Table:
* semi-elasticity ** coefficient estimated on (1/UN) *x*x* total energy price
-4o-
in the different models, has a negative impact on prices in all cases except the United States, where the effect is very small. (Unemployment also affects the price level through its effect on nominal wages, as described below, In full model simulations this effect offsets the perverse coefficient in the U.S. price equation.)
The export price is determined with the same theoretical framework on the absorption deflator, although the econometric implementation is different, as shown in equation 450 for Germany. The factor costs are represented by the domestic output price, and the markup variable is the ratio of domestic prices to an average foreign export price. This last variable is intended to capture the effects of competitive pressure from other suppliers.
The import unit value is linked to a weighted average of foreign export prices by a bridge equation (equation 451). The coefficient on foreign prices is less than 1.0, which reflects either differences between the composition of each country's total exports and their’ exports to Germany, or incomplete pass-through of export price changes to German import prices. This result also occurs in some of the other country models. The implied price of German nonoil imports is computed from the aggregate unit value in equation 456.
The German model also contains equations for producer and consumer price indices (equations 449 and 452). These prices are somewhat auxiliary to the model, since they do not correspond to
separate goods markets in the MCM. Producer prices are linked to the
-43-
price of domestic output in the German model, with an added term to reflect competitive pressure from abroad. The consumer price index is simply linked to the absorption deflator.
Finally, this sector of the model also includes the equation for expected inflation. We assume that inflationary expectations are based on a 3-year geometrically-declining weighted average of past. inflation based on the percentage change of the GNP deflator. This specification was selected for all country models in order to impose uniformity and regularity on the expectations progress, since a satisfactory econometric specification of expected inflation is extremely difficult to define meaningfully, much less to estimate. The
exact specification used is:
@) . PEXP = 100 * 3 .877* S(PGNP(K) = PGNP(K-4))/PGNP(K-4) | K=~-11 11 J xl 87 J=0
Wages and Employment (Sector IV.B.)
The wage equation in the MCM is in effect the labor supply curve, although it can also be thought of as resulting from institutional factors (such as unions) which restrict the movement, of real wages. The econometric specification is a Phillips curve in the
real wage:
-yy-
*100) - PEXP = a, + a, UN,
where PEXP is the expected inflation variable defined above. Table 5 shows the a; coefficients for each model, which range from ~.47 to -1.02; the Japanese real wage is by far the most sensitive to changes in unemployment. The econometric estimates of the wage equation are very poor -- only for the United States and Canada is the coefficient on wages statistically significant. This specification was used for the other countries because both the structure and the estimated coefficients seemed plausible, if not statistically meaningful. The results might best be interpreted as a particular assumption about real wage behavior, similar to the price expectations equation.
As described in the theoretical section above, the demand for labor hours is derived by estimating the production function. The specification of the production function takes the Cobb-Douglas form
log(GNP + MGSNI) - log(CU*K) = ag + ay (log(LH) - log(CU*K) )
+ ao (log(MGSNI - COL) - log(CU*K)) + a3 (log(COL) - log(cU*K)) + oy t where:
(GNP + MGSNI) = gross domestic output
CU capacity utilization
K real capital stock
i)
LH labor hours
-442-
TABLE 5
COUNTRY Canada........4. -0.54 United Kingdom.. -0.53 Germany......-+-- -0.47
Japan
vec cece nees -1.02
United States... -0.56
~-45-
MGSNI = imports of goods and services COL = consumption of petroleum t = time trend
Again we assume, for lack of better data, that total imports and total oil consumption both represent imported intermediate inputs. The assumption of constant returns to scale is imposed in estimation. Equation 463 in Appendix 2 is the estimated German production function. The same coefficient estimates are used to calculate potential output, assuming full employment and normal utilization of capital and labor (equation 464). Capacity utilization is then defined as the ratio of actual to potential output (equation 468).
Table 6 gives the coefficients estimates of the production function for each country. The estimated coefficients on labor hours have a relatively narrow range, from .6 in Germany to .79 in Japan. The coefficients on non-oil imports are much more dispersed, ranging from .08 in the United States to .19 in Canada. This coefficient tends to reflect the degree of openness of the country.
The level of employment is obtained from the number of total hours worked using a bridge equation (equation 461 for Germany). The decision of the firm to hire new workers or to pay overtime to current workers is not modeled explicitly. .
There also are equations for the labor force participation rate in the MCM country models (for Germany, equation 462); the
participation rate is a function of employment, population, and a time
-45A-
TABLE 6
VARIABLES LH/(CU*K) | (MGSNI-COL)/(CU*K) COL/ (CU*K) COUNTRY Canada........6. 0.71 0.19 0.07 United Kingdom... 0.71 0.15 0.04 Germany.......6. 0.60 0.17 0.09 Japan.....eeeeee 0.79 0.11 0.05 United States... 0.77 0.08 0.07
LH = labor hours CU = capacity utilization K = capital stock MGSNI = imports of goods and services, national income account basis COL = oil consumption, volume t = time
0.001 0.003 0.004 0.006 0.002
-46-
trend. This equation is intended to capture the secular response of the labor supply to changes in demand. Sector IV.C. contains the identities which define capacity
utilization, the real capital stock, and the user cost of capital.
International Financial Transactions (Sectors V. and VI.)
International financial transactions include direct investment flows (changes in claims on, and liabilities to, foreigners), long-term financial (portfolio) flows, other capital flows, and exchange market intervention by the government. The original version of the MCM, which was estimated over a period covering both the fixed rate period of the 1960's and the floating rate period of the early 1970's, included explicit capital flow equations in the international sector. The exchange rate was determined implicitly, using the balance of payments identity as a market clearing condition. (If the exchange rate was held fixed, the BOP identity determined the level of intervention.) Stevens et ai. (1984) describe the modeling of the exchange rate in the first version of the MCM.
The original capital-flow equations did not hold up well as more data for the floating rate period became available. Several attempts were made to implement a portfolio-balance model of foreign asse!; demands for the MCM, and to estimate exchange rate equations based on inverted net capital flow equations. Hooper et al. 1983
describe some of this work.
-\7-
None of these approaches proved wholly satisfactory, and the present version of the MCM drops the assumption of imperfect substitutability between home and foreign assets, and uses the open interest parity condition to explain the exchange rate. (More details are given in the theoretical section above.) As a result, the capital flow equations in the model are largely redundant, since the net private flow is given by the balance of payments identity.
However, the stocks of foreign claims and liabilities are still used in the model to explain the investment income flows in the current account, and the capital flow equations are retained to endogenize these stocks. The modeling of capital flows differs considerably across the different country models in the MCM, since in some cases new equations have been specified and in other cases not.
In some cases equations from the old version have been retained which are not strictly consistent with the new theoretical structure, such as the equations for the forward premium.
International financial transactions are broken into three categories in the model: long-term direct capital flows, long-term
portfolio flows, and total private capital flows.
Direct Investment (Sector V.A.) The change in long-term direct investment claims on foreigners (DLTDC) is modeled as a function of a weighted average of changes in
foreign GNP converted into the currency of the country undertaking the
-4a-
direct investment, and of the differential between home and foreign long term interest rates: DLTDC = ag+ ay Z Yj A (Ej GNPV;) + ap (RL - FRL) where DLTDC = long-term direct investment outflows RL = home country long-term interest rates FRL = foreign long-term weighted average interest rate Ej = exchange rate vis-a-vis country j GNPV = nominal gross national product in country j Yj = direct investment weights The equation for direct investment inflows (changes in direct long term liabilities to foreigners) is similar: DLTDL = ag + a1(L) AGNPV + ao(RL - FRL) The direct investment flow equations for Germany are 479 and 481 in Appendix 2. They use the specification presented above, with the exception that the interest rate differential is dropped from the claims equation. Equations 480 and 482 are identities that define the stocks of real direct investment claims and liabilities, which are used in the
investment income equations.
Other Capital Flows (Sector V.B.)
Four bilateral exchange rates are determined in the model: the U.S. dollar rates of the Canadian dollar, the British pound, the German mark, and the Japanese yen. These exchange rates are modeled (either
bilaterally or as weighted averages) explicitly in single equations.
-49-
The exchange rate equation is derived from the open interest parity condition by substituting in an expression for expected appreciation, as described in the theoretical section above. In the United States (combined with the Rest-of-World sector, whose currency is tied to the dollar) the underlying equilibrium condition is redundant by Walras' Law and the exchange rate equation is dropped. 10 The resulting exchange rate equations take the form log ERFW = log(FP/P) + ap (RS ~ FRS + PEXP*™ - PEXP) where ERFW = weighted average exchange rate, foreign currency/home currency FP = foreign price level P = home price level RS = home short-term (three month) interest rate FRS = foreign short-term (three month) interest rate PEXP*® = expected foreign inflation rate PEXP = expected home inflation rate The coefficient a is set equal to .03 for each country; the derivation of this coefficient is based on work presented in Hooper (1984). Equation 483 in Appendix 2 is the German exchange rate equation; equation 489 is an identity which identifies the $/DM bilateral rate. This section also contains the equation for the stock cf
portfolio liabilities to foreigners (equation 484). This is an asset
10For more details see Hooper (1986).
-50-
demand equation, with foreign wealth and rates of return as explanatory variables. Errors and omissions are modeled endogenously as a short-term financial capital flow (equation 485). The net private capital flow is determined by the balance of payment identity (486); equation 487 is an identity which makes the stock of portfolio claims consistent with the stock of liabilities and the net flow.
Sector V.C. contains an equation for the forward premium (which is used in the portfolio liabilities equation) and some identities.
All non-U.S. models contain an intervention reaction function (Sector VI). The specification of this equation is:
DNFA = ap + a4 (EI/EI-1) - ap NFAWq where DNFA is the change in (and NFA is the stock of) net foreign asset's, and EI is the spot exchange rate. This equation is based on the assumption that central banks wish to smooth out fluctuations in their bilateral dollar exchange rates and prevent large swings in their reserves. The specification of these reaction functions in described in more detail in Haas (1981).
The last sector of the country model (Sector VII) computes weighted averages of foreign variables used in various specifications elsewhere in the model. There are no behavioral equations in this
sector.
-51 -
The Rest-of-World Sector
The Rest-of-World (ROW) sector contains five bilateral import equations, and equations for industrial production and export prices (equations 916-926 in Appendix 2). The econometric specification o* the import equations is similar to that for the other country trade equations. The industrial production index for ROW is linked to output in the MCM countries, and ROW prices are linked to MCM country prices.
There is also a small sector which models OPEC exports and imports.
-52-
Iv. Simulation Results for the MCM
This section highlights the simulation properties of the MCM. Two standard policy exercises, a fiscal expansion and a monetary contraction, are simulated for each country separately, and for all five countries together. In addition, two sets of simulations are included to illustrate the response of the model to changes in exchange rates and and the price level.
The analysis presented here serves in part to bring together the information presented in Sections II and III on the theoretical structure and parameter estimates of the MCM. The simulations also illustrate the performance of the country models and the MCM as a whole, and give the reader some impression of how the model can be used in practice. Finally, these simulations document for the record the basic simulation properties of the MCM.
This section begins with a brief summary of what the theoretical model underlying the MCM predicts for the effects at home and abroad of monetary and fiscal policy changes. We then describe the simulation design, and present the simulations results. Some summary tables are presented in the text of this section; Appendix 1 contains a series of tables giving more detailed results for each simulation.
These tables are referred to in the text.
Experimental Design
Four types of simulations are analyzed: a fiscal expansion, a monetary contraction, a depreciation of the home currency, and a supply shock. The baseline used for these simulations specifies the paths to be followed by the components of GNP, prices, exchange rates, and interest rates in each country. For the most part, these paths are based on forecasts obtained from the OECD Economic Outlook for December 1984. We extrapolate the growth rates projected by the OECD for the first alf of 1986 through 1990. Exchange rates and interest rates are held constant over the projection period, using 1985Q4 data. The baseline path is generated using actual and forecasted values for all the exogenous variables. The residuals of these behavioral equations are added back to make the endogenous variables follow their constrained paths. The baseline solution runs from 1982Q4 to 1990Q4; each policy Simulation begins in 1983Q1 and is continued until 1990Q4,.
The first set of policy changes considered is an autonomous increase in real government purchases. To standardize the Simulations, real government purchases are increased by one percent of baseline real GNP starting in 1983Q1 and sustained over the next seven years. In all countries except Canada, the path of the nominal money Supply is eld unchanged during the simulation. (The monetary aggregate being targeted differs across countries; the target is M1 in the United States and the United Kingdom, M2 in Japan, and central bank money in Germany.)
In the Canadian model, we assume monetary policy is set so as
to maintain approximate parity of real short-term interest rates between
-54-
Canada and the United States (equation 93). Any persistent interest differential between the two countries brings about large movements in the Canadian/U.S. bilateral exchange rate. Because the two countries are so closely linked by trade, these exchange rate movements have large impacts on Canadian real income. We assume the Canadian authorities attempt to minimize these effects by using monetary policy to control interest rates. This assumption is also adopted for the monetary, exchange rate, and supply side simulations, except in the Canadian monetary contraction.
The second exercise presented is a one hundred basis point inz2rease in the home country treasury bill rate. In the country in which the policy change occurs, the nominal money supply is endogenized to be consistent with the higher level of interest rates. (That is, the authorities are assumed to target the nominal interest rate.) For the remaining four countries the money supply remains exogenous. The monetary contraction is calculated in terms of the interest rate so as to be comparable across countries -- since different aggregates are used as targets, equal percentage reductions in the money supply would not be conparable.
The third series of simulations is an exogenous five percent appreciation of the foreign currency vis-a-vis the dollar. This simulation is designed to highlight the transmission effects resulting from movements in exchange rates. The exercise is somewhat artificial,
in that the exchange rate is normally an endogenous variable in the MCM.
-55-
In implementing this simulation, the exchange rate shock was assumed to be generated by a series of exogenous changes in the value of the expected long run exchange rate such that the home currency appreciates by a constant five percent over the baseline. The exchange rate change was not assumed to be induced or accompanied by any other changes in policy.
The last set of simulations analyzes the effects of a supply Side shock, We consider an exogenous increase in costs (decrease in productivity) such that the price level (absorption deflator) rises initially by one percent. The shock is implemented by increasing the residual in the price equation. Because prices remain endogenous in the model, the actual change in prices, both in the first period arid over time, depends on the response of wages, exchange rates, and other
factors.
Fiscal Policy Results
We present some summary multipliers in Table 7. This table shows the effects on real GNP and prices of standardized fiscal shocks, for the United States, Japan, and Germany, and for all five MCV countries. The results summarize the degree of crowding out and the extent of foreign linkages in the MCM. The amounts shown in the table are percentage deviations from the baseline path. Because the fiscal expansion is scaled to be one percent of baseline GNP, the entries can
also be interpreted as multipliers.
(1) U.S. FISCAL SHOCK
U.S. GNP (%).......2008. U.S. Prices (%)......... Foreign GNP (%)......... Foreign Prices (%)......
(2) JAPANESE FISCAL SHOCK
Japanese GNP (%)........ Japanese Frices (%)..... U.S. GNP (%).......2000: U.S. Prices (%).........
(3) GERMAN FISCAL SHOCK
German GNF (%).......... German Prices (%)....... U.S. GNP (%)......--000- U.S. Prices (%).........
(4) JOINT FISCAL SHOCK
U.S. GNP (%)......0-000- U.S. Prices (%)......6.. Foreign GNP (%)......... Foreign Prices (%)......
Notes to Table:
(1) Sustained increase in (2) Sustained increase in (3) Sustained increase in (4) Syctained increase in
-55A-
1 2 3 4 5 6 7 8 cee 2.0 1.7 1.2 0.8 0.5 0.1 -0.2 -0.4 see 0.2. 0.6 1.1 1.6 2.0 2.4 2.7 2.9 cee 0.4 0.6 0.6 0.5 0.4 O04 O13 0.3 eee 0.2 O.4 0.5 0.6 0.8 0.9 1.0 1.2 see 1.3 1.3 1.2 1.2 1.1 1.1 1.2 1.2 tee 0.2 0.5 0.8 1.0 1.2 1.3 1.5 1.7 see 0.1 O.1 0.1 0.0 0.0 -0.0 -0.0 -0.0 eee 0.0 O.1 0.1 O.1 0.2 0.2 0.2 0.2 eee 1.3 1.3 1.2 1.0 0.7 0.5 0.3 O.1 cee 0.1 O.3 0.6 0.9 1.3 1.7 2.2 2.7 tee 0.1 0.1 0.1 0.0 0.0 -0.0 -0.0 -0.0 see 0.0 0.0 0.1 0.1 O.2 O12 O12 0.2 see 2.5 2.2 1.5 1.0 0.5 0.1 -0.2 -0.5 wee 0.3 0.8 1.5 2.1 2.7 3.3 3.7 4.0 see 1.7 1.9 1.9 1.6 1.3 1.1 0.9 0.8 wee 0.3 0.8 1.2 1.7 2.3 2.9 3.6 4.3
U.S. government purchases equal to 1% of GNP. Japanese government purchases equal to 1% of GNP. German government purchases equal to 1% of GNP. 5-Country government purchases equal to 1% of GNP.
Amounts shown are percentage deviations from the baseline path.
Foreign GNP and price variables are non-U.S. 4-country averages using multilateral] trade weights and constant exchange rate conversion factors.
-56-
The GNP multiplier in the United States is 2.0 in the first year; crowding out of the U.S. fiscal shock is virtually complete after six years, as GNP returns toward its baseline path. The GNP multipliers in Germany and Japan are much smaller, only 1.3 in the first year, In Germany, crowding out occurs, although at a slower rate than in the United States, while in Japan there is virtually no crowding out. In all three countries prices rise steadily following a fiscal expansion; the inflationary impact is lowest in Japan.
The spillover effects of the U.S. policy change on foreign economies are moderately strong, while a foreign fiscal expans:on has much smaller effects on the United States. This is partly a seale effect -- one percent of U.S. GNP is a larger shock to the world economy than one percent of German or Japanese GNP. The result also reflects the greater share of trade in GNP in Germany and Japan, compared with the United States. Finally, the joint fiscal policy simulation is similar to the single country simulations, but magnifies the effects both on output and on prices.
Table A-5 (in Appendix 1) gives more detail for the fiscal expansion in the United States. In the MCM, an increase in real government purchases leads directly to an increase in real income in the United States. Given the assumption of a fixed path for nominal money Supplies, interest rates tend to rise. This rise in U.S. interest rates leads to an appreciation of the trade-weighted dollar exchange rate,
Furthermore, prices tend to rise relative to the baseline, even with the
appreciation of the dollar, as real output rises closer to full capacity.
In general, all of these factors tend to cause the U.S.
current, account to worsen. An increase in U.S. income increases demand for imports, while the dollar appreciation stimulates imports and depresses demand for U.S. exports. The U.S. model exhibits crowding
out behavior after the first year of the simulation. The positive effects of an increase in government spending are offset by both the choking off of private domestic spending from higher interest rates and reduction in net exports resulting from the higher dollar. By the sixth year, real GNP deviates from the baseline by .1 percent. Even though real GNP returns to the baseline level, the U.S. current account continues to worsen.
The effects of the U.S. fiscal expansion on the four other MCM countries are felt through the direct increase in demand for their exports and as a depreciation of their exchange rates which increases demand for their exports further. One striking result is that Japanese real GNP rises throughout the period; by 1990 it is 1.7 percent over the baseline value. This result is due to the higher level of Japanese exports to the United States and, especially, the non-MCM rest of the world (ROW). The ROW sector is assumed to be a dollar area, so the appreciation of the dollar due to the fiscal expansion leads to
increased third-country exports to ROW.
-58-
Prices and interest rates rise in foreign countries, as in the United States, but by smaller magnitudes. Each country experiences a rise in interest rates, but the magnitude varies in the different models. The large depreciation in the British pound causes a larger rise in prices, which reflects the openness of the U.K. economy. The only country which deviates from this pattern is Canada, due to the different monetary assumption used.
The results from the Canadian fiscal expansion simulation are shown in Table A-1 in Appendix 1. As in the previous simulation, Canadian real income rises with the increase in government spending. Several differences between the U.S. and Canadian results can be highlighted. First, prices rise more rapidly in the Canadian Simulation, particularly in the second half of the period. Second, due to this higher inflation, the Canadian dollar tends to depreciate very quickly against the U.S. dollar. Third, while the fiscal multiplier is very low (1.2 in the first year) the Canadian model exhibits almost no crowding out. This result.is due in part to the assumption that monetary policy is used to keep interest rates from rising, and in part to the depreciation of the Canadian dollar, which limits the negative effect of net exports. Lastly, the policy change in Canada has a large impact on the United States; this in turn feeds through to Japan. The change in Canadian fiscal policy has, however, very limited effects on
Germany and the United Kingdom.
-59-
For the United Kingdom, although an increase in government purchases tends to have an immediate and positive effect on real income, the multjiplier is less than one throughout the simulation period, as shown in Table A-2. This result stems from two features in the U.K. model, namely a very small short-run marginal propensity to consume and a very high marginal propensity to import. (The long-run marginal propensity to consume is 1.0, as reported in Section III.) In this respect the current model differs from earlier versions of the MCM, in which the marginal propensity to consume was higher, due partly to the inclusion of wealth in the consumption function.'1! Another noteworthy result is that the impact of the U.K. expansion on other foreign countries is even smaller than the Canadian expansion. This result can be explained by the very low multiplier in the U.K. model and by the relatively low volume of U.K. trade with the United States, Canada, and Japan.
Table A-3 presents the results of the fiscal expansion for Germany. In the case of Germany, real income initially increases by more than government purchases increase, but gradually this stimulus is crowded out. The behavior of the exchange rate path differs from our prior expectation in that there is an initial depreciation of the DM vis-a-vis the U.S. dollar. This result is due to the slow rise in German interest rates and the relatively rapid increase in German prices.
In this case, as in the United Kingdom simulations, there is not a large
a ae ne re eee
11sgee Edison (forthcoming) and Stevens et al. (1984) for more discussion of this point.
-60-
stimulus to foreign real economies, even though foreign current accounts do improve.
Table A-4 reports the results of the Japanese fiscal expansion. . The results reported here tend to resemble those found for Canada. Fiscal expansion stimulates real income, which remains above the baseline level throughout the simulation. Real income is not crowded out because of the strong accelerator effect in the Japanese investment equations and the depreciating yen, which limits the negative effect. of net exports. The change in Japanese policy has a modest effect on GNP in the other MCM countries initially, but this impact rapidly fades away. The Japanese current account does improve permanently, due to an increase in exports to ROW and and the United States.
Table A-6 illustrates a simulation in which all five MCM countries synchronize their fiscal policies by expanding simultaneously. When all countries reflate together the effect on each country's GNP is greater than if it had expanded in isolation. Inflation is also higher in all countries under a synchronized expansionary fiscal policy. The dollar appreciates bilaterally against the other MCM currencies because of a relatively larger increase in U.S. interest rates. The current account balance for each MCM country either improves over, or remains close to, the single country case. In general, the results indicate that all the countries are better off, in terms of their income and
balance of payments goals, when they all reflate together. However,
-61-
these benefits do come at the expense of a larger increase in price
inflation.
Monetary Policy Simulations
Table 8 presents the summary multipliers for the monetary ecntraction simulations. The table shows the effect on real GNP and prices of a 100 basis point increase in treasury bill rates, for the United States, for Germany, for Japan, and for all five MCM countries jointly. The results can be interpreted as measuring the degree of neutrality of money and the extent of foreign linkages in the MCM.
This summary table shows that higher interest rates tend to reduce real income, as expected. In the U.S. simulation money is not neutral in the long run; this is also true of the foreign models taken together. The spillover effects of U.S. policy on other countries are substantial, while again, economic policy actions abroad have much smaller effects on ' the United States.
Table A-11 presents more detailed results of the U.S. monetary policy simulations. The main channel through which monetary policy influences the model is through the effects of interest rates on the components of real expenditure. In the U.S. model, investment -- in producers! structures, producers! durables, and residential investment -- is a function of the user cost of capital, which in turn depends on the real interest rate. Consumption is also directly influenced by
interest rates. Furthermore, in all MCM countries the exchange rate is
(1) U.S. MONETARY SHOCK
U.S. GNP (%).......... U.S. Prices (%)....... Foreign GNP (%)....... Foreign Prices (%)....
(2) JAPANESE MONETARY SH
Japanese GNP (%)...... Japanese Prices (%)... U.S. GNP (%).......... U.S. Prices (%).......
(3) GERMAN MONETARY SHOC
German GNP (%)........ German Prices (%)..... U.S. GNP (%).......... U.S. Prices (%).......
(4) JOINT MONETARY SHOCK
U.S. GNP (%).......... U.S. Prices (%)....... Foreign GNP (%)....... Foreign Prices (%)....
Notes to Table:
(1) Sustained 100 basis (2) Sustained 100 basis (3) Sustained 100 basis (4) Sustained 100 basis
OCK
eoceee oe eee eeeee
K
coceee ceo eee eoeoeee
point point point point
-61A-
——m am
1 2 3 -0.4 -1.0 -1.4 -0.1 -0.2 -0.6 -0.0 -0.0 -0.0
0.1 0.1 0.1 -0.6 -1.5 <-2.3 -0.1 -0.3 -0.6
0.0 -0.0 -0.1
0.0 0.0 0.0 -0.3 -0.7 -0.9 -0.5 -0.7 -0.9
0.0 0.0 0.1
0.0 0.1 0.1 -0.4 -0.9 -1.3 -0.0 -0.1 -0.4 -0.3 -0.6 -0.9
0.0 -0.0 -0.2
increase increase increase increase
in U.S. treasury bill rate.
-2. -1. -0.
-0. -1.
-1. -0. -0. -0.
EHOW
HEN
oe lao)
Foal
-3. ~1. -0. -0.
-0. 1.
-1.
-0. -0.
PN uw
ee OO © OrN &
NOW UW
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ae
-3. -2. -0. -0.
-0. -2.
-1. -1. -0. -0.
OUF FF
Nr oO © Brews
wnvo Fr
-3. -3. -0. -0.
-0. “2.
-1. -2. -0. -1.
OFAN
mre © WO
to in in to
in Japanese treasury bill rate.. in German treasury bill rate. in 5-Country treasury bill rate.
Amounts shown are percentage deviations from the baseline path.
Foreign GNP and Price variables are non-U.S. 4-country averages using
multilateral trade weights and constant exchange rate conversion factors.
ho O So
“4. -3. -0. -0.
-0. -2.
-1. -3. -0. -1.
NO @w Ww
ONAN OO
- ONO
AWe re
-6§2-
directly affected by the level of interest rates. As a result, a rise in home interest rates tends to choke off real domestic spending and leads to an appreciation of the domestic currency. This appreciaton in turn affects the traded goods sector.
As can be seen from the table, the rise in U.S. interest rates leads to lower real income throughout the simulation. Real income falls because both investment and consumption are depressed. The appreciation of the dollar reduces exports, but initially reduces the value of imports (due to J-curve effects), which leads to a slight improvement in the U.S. current account. The decline in aggregate demand and the appreciation of the dollar combine to produce a decline ir. U.S. prices throughout the simulation,
| The effects of the U.S. contraction on foreign countries vary by country. Canada, for example tends to, mirror the United States because Canada is assumed to tie its real short-term interest rate to the U.S. rate. Initially, Canada raises its nominal short-term rate by 100 basis points to match the rise in the U.S. rate. After a year or two, however, the difference in inflation rates causes the Canadian nominal interest rate to fall somewhat. The other three MCM countries, on the other hand, respond similarly to one another. The depreciation of their currencies against the dollar brought about by the rise in U.S. interest rates tends to stimulate their net exports and therefore raises real income. By the end of the simulation Japanese real GNP has grown
bv more, in percentage terms, than the fall in U.S. real GNP, due in
-6§3-
part to the large depreciation in the yen. The higher real income and depreciated exchange rates lead to higher prices in these countries. Table A-7 presents the results for the Canadian monetary simulation. (For this simulation the equation linking Canadian and U.S. short-term interest rates was dropped from the model.) As expected, the monetary contraction causes a steady decline in Canadian real income, and a substantial appreciation of the Canadian dollar. Both of these factors tend to account for the large decline in prices. The major impact of the Canadian policy change abroad is once again on the United States. The fall in Canadian real income reduces demand for U.S. exports, which in turn depresses the U.S. current account and real income. These effects then feed back onto the other three countries. Table A-8 presents the results of the U.K. monetary shock. Increased home interest rates and the resulting appreciation of sterling work to decrease demand and output in the U.K. As a consequence of the decline in output, prices are lower and unemployment is up slightly. For this particular shock, the trade balance deteriorates because the decline in demand reduces imports by less than the sterling appreciation depresses exports. As in the fiscal expansion, the U.K. monetary contraction has very little impact on the remaining MCM countries. Tables A-9 and A-10 give the results for the German and Japanese monetary shocks. The results for these two countrie3 are quite similar; in general, they replicate what we have seen for the other
three MCM countries. The rise in interest rates leads to a decline in
~64-
real income because of the fall in consumption and investment.
Moreover, domestic currencies appreciate, leading to a fall in prices. The results of the appreciation and the decline in real income lead to ambiguous effects on the trade balance. In the case of Japan, the trade balance initially deteriorates before improving. Exports decline by more than imports in the beginning; this trend reverses after three years. The German trade balance shows just the opposite pattern.
Table A-12 contains the results of a coordinated interest rate increase. In general, the results show a smaller decline each country's income and prices than in the single country shocks. In this simulation the monetary contractions abroad result in higher interest rates for all countries, so that interest rate differentials are smaller. As a result the exchange rate for each country does not appreciate by as much, and may even depreciate. This difference in exchange rates between the simulations tends to stimulate demand, relative to the single-country
shock, in each country.
Exchange Rates
These simulations are included primarily for analytical purposes, and do not necessarily represent a plausible policy scenario. They highlight the responses in each country to an "exogenous" change in the exchange rate. Table 9 summarizes the exchange rate results Obtained when the U.S. dollar depreciates, first vis-a-vis the other
four MCM countries, then vis-a-vis Japan and Germany separately. In the
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TABLE 9
(1) US$ EXCHANGE RATE SHOCK
U.S. GNP (%)....... 2. cece U.S. Prices (%).........08. Foreign GNP (%)........ sees Foreign Prices (%).........
(2) YEN EXCHANGE RATE SHOCK
(1) Sustained 5% (2) Sustained 5% (3) Sustained 5%
RFPONA
2 3 4 5 6 0.3 O.2 O11 0.1 0. 0.3 O.3 O.4 #O.5 0.
-0.6 -0.8 -0.7 -0.6 -O.
-0.6 -0.7 -0.9 -1.1 -1.
-1.1 -1.2 -1.0 -1.0 -1.
-0.4 -0.6 -0.7 -0.9 -1. 0.1 O.1 O11 #0.1 =O 0.1 O.2 O.2 O.2 =O
-0.7 -1.0 -0.9 -0.7 -0.
-1.1°-1.4 -1.7 -2.0 -2.
0.2 #O.1 #O.1 0.1 =O 0.1 O.2 O.3 0.3 O
Amounts shown are percentage deviations from the baseline path.
wWworo
wHoru
wun Ee
-0. -1.
-1. -1. -0.
~0. -2.
Foreign GNP and Price variables are non-U.S. 4-country averages using
multilateral trade weights and constant exchange rate conversion factors.
Anno
Wwowda
FOO ff
Apreciation of the U.S. Dollar Against Four Currencies. Depreciation of the Japanese Yen Against the U.S. Dollar. Depreciation of the Deutsche Mark Against the U.S. Dollar.
C. -C. -1.
-C. -1. -0.
-0. -3. -Q.
oraAO
FONW
WwoNnwe
~65-
4-country exchange rate simulation the U.S. dollar depreciates by five percent. This depreciation leads to a very small increase in both U.S. income and prices. On average, foreign income and prices fall. It appears that the crowding-in effect of lower interest rates in the non-U.S. countries is weaker than the crowding-out effect of higher interest rates in the United States. (Interest rates change as a result of the effects of the induced price changes on money demand.) The individual country exchange rate changes tend to exhibit large owncountry effects following the 4-country shock pattern. They also have very Limited impacts on the U.S. economy.
Tables A-13 to A-17 in Appendix 1 display in more detail the results of these exchange rate shocks, In all cases, the simulated impact on U.S. real GNP appears to be small initially. This last result is due to the rise in U.S. net exports, which offsets the depressing effects. of higher U.S. interest rates in the first few years. With the stimulus to income through net exports, consumption and producers durable investment rise throughout the simulation period. The dollar depreciation also leads to higher U.S. prices, because import prices rise. U.S. prices rise by much less than the amount of the depreciation, partly because a large part of U.S. trade (with ROW) is not affected by the shock. The U.S. current account improves, as one would expect, but only moderately. The appreciation of foreign currency tends to depress income abroad, which feeds back to reduce foreign
demand for U.S. goods. Further, as noted, U.S. trade with ROW is largely
-66-
unaffected in these simulations. Even with the decline in foreizn
interest rates, demand is not stimulated enough to increase income.
Supply Side Shock
The domestic price shock simulations, like the previous exchange rate exercise, serve primarily to illustrate the properties of the MCM. To implement the shock, we exogenously increase the error term in the domestic absorption deflator by one percent; no other policy changes are assumed to take place. Table 10 gives an overview of the Simulation results. The increase in prices affects both the Supply and the demand side of the economy. For example, in the U.S. price shock income falls as prices rise; the rise in prices tends to reduce labor Supplied and hence to lower domestic production (the aggregate supply curve shifts to the left). Moreover, the rise in domestic prices; lowers real money balances, causing the LM curve to shift leftward, and raising domestic interest rates and reducing expenditure. The rise in prices also shifts domestic spending away from domestic output and towards imports. Similar results are obtained for the other countries. Although exchange rates depreciate somewhat, the effects of this shock are not widely transmitted abroad. Tables A-18 to A-23 in Appendix 1 present
further details of the Supply side simulations.
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TABLE 10
1 2 3 4 5 6 7 8
(1) U.S. SUPPLY SHOCK
U.S. GNP (%)..... eee cece -0.1 -0.3 -0.7 -1.1 -1.2 -1.1 -1.0 -0.8
U.S. Priices (%)............ 1.2 1.6 1.8 1.9 1.8 1.6 1.3 1.1
Foreign GNP (%)........000. 0.1 0.1 0.0 -0.1 -0.1 -0.1 -0.0 0.0
Foreign Prices (%)......... 0.1 0.1 0.0 0.0 -0.1 -0.1 -0.2 -0.3 (2) JAPANESE SUPPLY SHOCK
Japanese GNP (%)........... -0.6 -0.9 -1.0 “1.2 -1.2 -1.0 -0.8 -0.6
Japanese Prices (%)........ 1.4 1.6 1.8 1.7 1.6 1.5 1.4 1.3
U.S. GNP (%)... ce eee ccc eee 0.0 -0.0 -0.1 -0.1 -0.1 -0.0 -0.0 0.0
U.S. Prices (%).........08- 0.1 0.0 0.0 0.0 -0.0 -0.1 -0.1 -0.1 (3) GERMAN SUPPLY SHOCK
German GNP (%)........200-- -0.6 -0.8 -0.9 -1.0 -1.1 -1.3 -1.4 -1.5
German Prices (%).......... 0.9 1.6 2.2 2.6 3.0 3.2 3.4 3.5
U.S. GNP (%). 2... eee cece 0.0 0.0 0.0 -0.0 -0.0 -0.0 -0.0 -0.0
U.S. Prices (%).......e000- 0.1 0.1 0.1 £01 0.1 0.1 0.1 0.1 (4) JOINT SUPPLY SHOCK
U.S. GNP (%).... cece eee eee “0.1 -0.3 ©0.9 -1.2 -1.4 -1.2 -1.1 -0.8
U.S. Prices (%)........0.0. 1.4 1.7 2.0 2.1 2.0 1.7 1.4 1.1
Foreign GNP (%)..... ee eeeee -0.4 -0.7 -0.8 -1.0 -1.2 -1.3 -1.3 -1.2
Foreign Prices (%)......... 0.9 1.4 1.7 2.0 2.2 2.3 2.3 2.3
Notes to Table:
(1) Sustained 1% increase in U.S. price equation residual.
(2) Sustained 1% increase in Japanese price equation residual. (3) Sustained 1% increase in German price equation residual.
(4) Sustained 1% increase in 5-Country price equation residuals.
Amounts shown are percentage deviations from the baseline path.
Foreign GNP and Price variables are non-U.S. 4-country averages using multilateral trade weights and constant exchange rate conversion factors
-67- References
Brayton, F. and E. Mauskopf, "The MPS Model of the United States Economy," Economic.Modelling, vol. 2 (July 1985), PP. 170- 292.
Danker, D., R. Haas, D. Henderson, S. Symansky and R. Tryon, "Small Empirical Models of Exchange Market Intervention: Applications to Canada, Germany, and Japan," Staff -.Studies 135. Washington: Board of Governors of the Federal Reserve System, 1985.
International Monetary Fund, Direction-of.Trade.Statistics: Yearbook, - Washington, D.C, various issues.
Edison, H.J., "The U.K. Sector of the Federal Reserve's Multicountry Model: The Effects of Monetary and Fiscal Policies," The Manchester..School (forthcoming).
Edison, H.J. and R. Tryon, "An Empirical Analysis of Policy Coordination ‘in the United States, Japan and Europe," International Finance Discussion Papers 286. Washington: Board of Governors of the Federal Reserve System, 1986.
Frankel, J., "The Sources of Disagreement among the International Macro Models and Implications for Policy Coordination," National Bureau of Economic Research, Inc., Working Paper Series No. 1925, May 1986.
Haas, R., "MCM Intervention Functions," Federal Reserve Board unpublished memo, January, 1981. '
Helkie, W., "A Forecasting Model for the U.S. Merchandise Trade ‘Balance," International Finance Discussion Papers, Board of Governors of the Federal Reserve System, forthcoming, 1986.
Helliwell, J. and T. Padmore, “Empirical Studies of Macroeconomic Interdependence," in Handbook..of-International..Economics, Vol. II, edited by R. Jones and P. Kenen, Amsterdam, North Holland, 1985, PP+ 1107- 1151.
Hendry, D.F., M. Morgan and F. Srba, "GIVE GUIDE," Oxford University, unpublished, October, 1983.
Hooper, P., "International Repercussions of the U.S. Budget Deficit," International Finance Discussion Papers '246. Washington: Board of Governors of the Federal Reserve System, 1984.
~68-
Hooper, P., “Exchange Rate Simulation Properties of the MCM," European Economic..Review, vol. 30, 1986, pp. 121-198.
a "Summary Description and Analysis of Comparative Model Simulations," Federal Reserve Board, unpublished, March, 1986.
Hooper, P., R. Haas, S. Symansky and L. Stekler, "Alternative Approaches to General Equilibrium Modeling of Exchange Rates and Capital Flows: The MCM Experience, in L. Klein and W. Kreller, ed., Capital Flows and Exchange Rate Determination, Springer-Verlag, Wien, 1983.
Hooper, P. and J. Morton, "Fluctuations in the Dollar: A Model of Nominal and Real Exchange Rate Determination," Journal of International Money and Finance, vol. 1, (April 1982), pp. 39-56.
Organization for Economic Cooperation and Development, Economic Outlook, Paris, December 1984,
Oudiz, G. and J. Sachs, "Macroeconomic Policy Coordination among the
Industrial Economies," Brookings Papers .on Economic Activity, (1984) pp. 1-76.
Stevens, G., R. Berner, P. Clark, E. Hernandez-Cata, H. Howe and S. Kwack, The U.S. Economy in.an Interdependent World: A. Multicountry Model. Washington: Board of Governors of the Federal Reserve System, 1984.
Tobin, J., "A General Equilibrium Approach to Monetary Theory," Journal of Money Credit and Banking, vol. 1, (February 1969), pp. 15-29.
Tryon, R., "Small Empirical Models of Exchange Market Intervention: A Review of the Literature," Staff-Studies 134. Washington: Board of Governors of the Federal Reserve System, 1983.
Appendix 1:
Table Table Table Table Table Table
Table Table Table Table Table Table
Table Table Table Table Table
Table Table Table Table Table Table
-69-
Detailed Simulation Tables
Canadian Fiseal Shock U.K. Fiscal Shock German Fiscal Shock Japanese Fiscal Shock U.S. Fiseal Shock 5-Country Fiscal Shock
Canadian Monetary Shock U.K. Monetary Shock German Monetary Shock Japanese Monetary Shock U.S. Monetary Shock 5-Country Monetary Shock
Canadian Exchange Rate Shock U.K. Exchange Rate Shock German Exchange Rate Shock Japanese Exchange Rate Shock 4-Currency Exchange Rate Shock
Canadian Price Shock U.K. Price Shock German Price Shock Japanese Price Shock U.S. Price Shock 5-Country. Price Shock
TABLE A-1:
-70-
CANADIAN FISCAL SHOCK
UNITED STATES
Real GNP (%)....... cece eee Price Level (%)............- Int. Rate (ST)(+/-)........ Exch. Rate (FX/US$)(%)..... Current Bal. (USS,B)(+/-)..
CANADA
Real GNP (%).........00020- Price Level (%)...........4. Int. Rate (ST)(+/-)........ Exch. Rate (US$/CS$)(%)..... Currer.t Bal. (USS,B)(+/-)..
GERMANY
Real GNP (%)........ecceeee Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (USS$/DM)(%)..... Current Bal. (USS,B)(+/-)..
JAPAN
Real GNP (%)......-2ecceees Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (USS/Y)(%)...... Current Bal. (USS,B)(+/-)..
UNITED KINGDOM
Real GDP (%)..........- 000 Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (USS$/PS)(%)..... Current Bal. (US$,B)(+/-)..
NOTE: Amounts shown are deviations from (%) = percentage deviation from baseline absolute deviation from baseline
(+/-)
NOO9O 90 @OrNO Nd
wwoor ENF O, HP woRND
NNOOCO
2 3 4 5 0.2 #O.2 O.1 0. 0.1 0.1 O.2 0. 0.2 0.3 0.3 0. 0.2 0.3 0.5 QO. 3.1 3.1 3.0 2. 1.3 1.2 1.1 1. 0.6 1.2 2.1 3. 0.6 0.9 1.1 1. 0.2 -0.3 -1.0 -2. -1.3 -1.4 -1.6 -2. 0.1 0.1 O.1 0. 0.1 0.1 0.2 0. 0.1 0.1 0.1 0. -0.4 -0.4 -0.4 -0. 0.2 04 #O.3 0. 0.2 0.2 0.2 O. 0.0 O.1 0.1 ~~ OO. 0.1 0.1 O.1 0. -0.3 -0.4 -0.4 -0. 0.7 0.9 1.0 1. 0.0 0.1 0.0 O. 0.1 0.1 #O.2 Oz. 0.0 0.1 O.1 0. -0.3 -0.3 -0.4 -0. 0.4 0.6 0.7 0.
woe bd WOWrrHNO OrWrHO mMniiwwo
NFR NO
Nr OOO Wor FO
WN UW ©
DAr ND bo
oooo°o ONN WO
FON WO
the baseline path.
OND FO
FUNWO NF ONO OWF EO
ONrRN bd
WO Re WH Ww WNW EO ON Or OO
KH OWN O
-71-
TABLE A-2: UK FISCAL SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%).... 2c cece vcees 0.1 0.1 0.0 0.0 0.0 -0.0 -0.0 -0.0 Price Level (%)............ 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 Int. Rate (ST)(+/-)........ 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 Exch. Rate (FX/USS$)(%)..... -0.0 0.0 -0.1 -0.0 0.0 0.0 0.1 0.1 Current Bal. (USS$,B)(+/-).. 0.8 0.9 0.8 0.8 0.6 0.3 -0.0 -0.5 CANADA Real GNP (%)......-2eceeeee 0.0 0.0 -0.0 -0.0 -0.0 -0.1 <-0.1 -0.1 Price Level (%)..........6. 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.0 Int. Rate (ST)(+/-)........ 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 Exch. Rate (US$/C$)(%)..... -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 +0.0 0.0 Current Bal. (USS$,B)(+/-).. 0.1 0.1 0.1 0.0 0.0 -0.0 «0.0 -0.0 GERMANY Real GNP (%).....-..eeeeeeee 0.1 0.1 0.1 0.0 0.0 -0.0 -0.1 -0.1 Price Level (%)........200- 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 Int. Rate (ST)(+/-)........ 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 Exch. Rate (USS$/DM)(%)..... -0.1 -0.1 -0.1 -0.1 -0.0 0.0 0.0 0.0 Current Bal. (USS,B)(+/-).. 0.2 0.1 0.3 0.4 0.4 0.5 0.6 0.7 JAPAN Real GNP (%).......-eeeeces 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Price Level (%).......+e08. 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 Int. Rate (ST)(+/-)........ 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Exch. Rate (US$/Y)(%)...... -0.1 -0.1 -0.1:-0.1 -0.0 -0.0 -0.0 -0.0 Current Bal. (USS$,B)(+/-).. 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.8 UNITED KINGDOM Real GDP (%).....-.eeeeeees 0.6 0.6 O06 0.5 O.4 0.2 0.0 -0.2 Price Level (%)............ -0.1 0.0 O.1 40.5 1.0 1.5 2.1 2.7 Int. Rate (ST)(+/-)........ 0.1 0.1 0.4 0.5 0.7 0.9 1.2 1.4 Exch. Rate (USS/PS)(%)..... 0.4 0.3 0.6 0.3 0.0 -0.2 -0.4 -0.6 Current Bal. (US$,B)(+/-).. -2.1 -1.8 -1.9 -2.3 -2.4 -2.5 “2.6 <-2.6
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
~72-
TABLE A-3: GERMAN FISCAL SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%)....- eee ee eens 0.1 O.1 0.1 0.0 0.0 -0.0 -0.0 -0.0 Price Level (%).......-.--:> 0.0 O.O 0.1 0.1 0.2 0.2 O.2 0.2 Int. Rate (ST)(+/-)........ 0.1 0.1 #O.1 0.1 0.2 #0O.2 0.2 0.2 Exch. Rate (FX/US$)(%)..... -0.0 0.2 0.2 0.2 0.1 0.1 0.1 0.1 Current Bal. (US$,B)(+/-).. 1.4 1.4 1.3 1.1 0.9 0.7 0.4 0.0 CANADA Real GNP (%)....-.-eeeeeees 0.0 0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -9.1 Price Level (%).......-..4-- 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 Int. Fate (ST)(+/-)........ 0.1 0.1 O.1 0.1 0.1 O.1 0.2 0.2 Exch. Rate (US$/C$)(%)....- 0.0 -0.0 -0.1 -0.1 -0.1 -0.0 +0.0 0.0 Currert Bal. (US$,B)(+/-).. 0.1 O.1 0.1 O.1 0.0 0.0 -0.0 -0.0 GERMANY Real GNP (%).....-eseeeeeee 1.3 1.3 1.2 1.0 0.7 0.5 0.3 O.1 Price Level (%).......--e-- 0.1 0.3 0.6 0.9 1.3 1.7 2.2 2.7 Int. Rate (ST)(+/-)......-- 0.1 0.1 0.4 0.7 0.9 1.2 1.5 1.8 Exch. Rate (USS$/DM)(%)..... 0.0 -0.4 -0.3 -0.2 -0.0 0.1 0.3 0.4 Current Bal. (US$,B)(+/-).. -3.4 -3.8 -3.9 -3.9 -3.7 -3.3 -2.8 -2.1 JAPAN Real GNP (%)......-+--ee eee 0.1 40.1 0.1 O.1 0.1 0.1 0.1 0.2 Price Level (%).......+.--- 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.2 Int. Rate (ST)(+/-)........ 0.0 0.0 0.0 0.0 0.0 O.1 =O.1 0.1 Exch. Rate (USS/Y)(%)...... -0.1 -0.1 -0.2 -0.2 -0.2 -0.3 -0.3 -0.4 Current Bal. (US$,B)(+/-).. 0.3 O05 0.6 0.8 1.0 1.3 1.8 2.5 UNITED KINGDOM Real GDP (%)....- eee eceeees 0.0 0.0 0.1 0.1 0.1 0.1 0.1 O.1 Price Level (%)..-..--.e0e- 0.0 0.0 0.1 0.1 0.2 0.3 O.5 0.6 Int. Rate (ST)(+/-)........ 0.0 0.0 0.0 0.1 0.1 0.1 0.2 0.2 Exch. Rate (US$/PS)(%)..... 0.0 0.0 -0.1 -0.1 -0.3 -0.4 -0.5 -0.6 Current Bal. (USS,B)(+/-).. 0.3 0.3 0.4 0.4 0.4 0.5 0.6 0.8
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
-73-
TABLE A-4: JAPANESE FISCAL SHOCK
Sustained Increase in Government Purchases Equal to 1% of GNP
YEARS AFTER SHOCK
UNITED STATES
Real GNP (%)......222eeeeee 0 Price Level (%)............ 0. Int. Rate (ST)(+/-)........ QO. Exch. Rate (FX/USS$)(%)..... -0. Current Bal. (US$,B)(+/-).. 1
OWr Ore rFONrFFH NED De fe
CANADA
Real GNP (%)...... cc eeeeces Price Level (%)..........--. Int. Rate (ST)(+/-)........ Exch. Rate (US$/C$)(%)..... Current Bal. (USS$,B)(+/-)..
ooo0090
NOrFR HE
NON Fe oO
ooo°o°o
RPrRENHO oO
GERMANY
Real GNP (%).....-.- ee eees 0 Price Level (%)...........- 0. Int. Rate (ST)(+/-)........ 0. Exch. Rate (USS$/DM)(%)..... -0. Current Bal. (USS$,B)(+/-).. 0
nNOrFOfF Se essoo MWe Dd Fe
JAPAN
Real GNP (%)......---eeeees 1 Price Level (%)............ 0. Int. Rate (ST)(+/-)........ 0. Exch. Rate (USS/Y)(%)...... 1. Current Bal. (USS,B)(+/-).. -2.
OWN D W Ann Ww FOoor Dre WO NY
UNITED KINGDOM
Real GDP (%).......c ee eeeee 0.0 0.0 O01 0. Price Level (%).........06. 0.0 0.1 0.1 0. Int. Rate (ST)(+/-)........ 0.0 0.0 O.1 O. Exch. Rate (USS/PS)(%)..... 0.0 -0.2 -0.3 -0. Current Bal. (USS,B)(+/-).. 0.4 0.5 0.7 0.
NOTE: Amcunts shown are deviations from
FHOCOO
5 6 7 0 0.0 -0.0 0. 1 O02 0.2 O. 2 0.2 O.2 OQ. 3 03 0.4 O. 4 1.2 1.0 O. 0 -0.0 -0.1 -0. 2 0.2 #O.2 0. 2 0.2 #O.2 0. 1 -0.1 -0.0 O. 1 #O.1 0.1 O. 1 0.0 0.0 -0. 2 0.2 #O.3 O. 1 0.2 O12 O 2 -0.2 -0.2 -0. 6 0.8 0.9 1. 2 1.1 1.1 1. 0 1.2 1.3 1. 5 0.5 0.4 0. 4 -0.7 -0.9 -1. 5 -5.2 -6.0 -6. 0 0.0 0.0 O. 2 0.2 0.3 O. 1 O.1 0.1 O. 3 -0.4 -0.4 -0. 7 O17 0.8 Oz.
the baseline path.
(%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
ND UI fb MN NM WO rFPONnNrF Fe OMUNN OO
woNr WO
OUN FO
WNHN FO Med ee MOAN NH O
NW Nb
~74-
TABLE A-5: US FISCAL SHOCK
UNITED STATES
Real GNP (%)......... Price evel (%)...... Int. Rate (ST)(+/-).. Exch. Current: Bal.
CANADA Real GNP (%).........
Price Level (%)...... Int. Rate (ST)(+/-)..
Exch. Rate (US$/C$)(%)..... - (US$ ,B)(+/~)..
Curren: Bal. GERMANY Real GNP (%).........
Price Level (%)...... Int. Rate (ST)(+/-)..
Exch. Rate (US$/DM)(%)..... - (US$ ,B)(+/-).. =
Current Bal. JAPAN
Real GNP (%)......... Price Level (%)...... Int. Rate: (ST)(+/-).. Exch. Rate (US$/Y)(%) Current Bal.
UNITED KINGDOM Reai GDP (%).........
Price Level (%)...... Int. Rate (ST)(+/-)..
Exch. Rate (US$/PS)(%)..... - (US$ ,B)(+/-)..
Current Bal.
NOTE: Amounts shown are deviations from
Rate (FX/US$)(%)..... (US$ ,B)(+/-)..
(US$ ,B)(+/-)..
OH N DY O NrFOAN HnAoorhnd NO RH Nh OO
eee eee
MW and WN mont ee i" FNUND NWAN SE
ONN FN WOraN FS rPUnwon EOS
oeoeeneve
OrNrN Or FW WwW We uw NAF AN
AWE AN nord WwW eSEuN UD &- FOOD DN WH
NO FO WwW FOwonn RPwOonNI WwW OO WnNnNFroOm
SE NR DS
_
(%) = percentage deviation from baseline
(+/-) =
absolute deviation from baseline
BP FOrr NOrF FO F c wm ANH CO fF OW Or ©
HUM n &
nNrONM OO Fwowo Ue
Wor ARH
he
the baseline path.
FrRAUM
NF OOO
rPOoPfnm Ww
ray
FrPrNS ‘ orouwnd
OF N WW
(oO Fonwon
ouwuww fF
Won ue
TABLE A-6:
-75-
5-COUNTRY FISCAL SHOCK
UNITED STATES
Real GNP (%) Price Level (%) Int. Rate (ST)(+/-) Exch. Rate (FX/US$)(%) Current Bal. (USS,B)(+/-).. -
ee
ee ey
CANADA
Real GNP (%) Price Level (%) Int. Rate (ST)(+/-) Exch. Rate (US$/C$)(%) Current Bal. (USS$,B)(+/-)..
ee
ooNnor NON WU O®
GERMANY
Real GNP (%) Price Level (%) Int. Rate (ST)(+/-) Exch. Rate (USS$/DM)(%)..... - Current Bal. (USS,B)(+/-).. -
Ce
ed
JAPAN
Real GNP (%) Price Level (%) Int. Rate (ST)(+/-) Exch. Rate (USS/Y)(%)...... - Current Bal. (USS$,B)(+/-).. -
UNITED KINGDOM
Real GDP (%) Price Level (%)..........-.. Int. Rate (ST)(+/-)........ Exch. Rate (USS/PS)(%)..... - Current Bal. (USS$,B)(+/-)..
NOTE: Amounts shown are deviations from
NOrRWUN
RPNOFfh nAnFOaA™
WwW WW A Oo
2 3 4 5 2.2 1.5 1.0 O. 0.8 1.5 2.1 2. 2.5 2.7 3.0 3. 3.5 3.6 4.0 4. -7.4 -14.3 -21.6 -31. 1.5 1.0 0.6 O. 1.2 2.1 3.0 3. 2.7 2.8 3.1 3. -0.4 -0.7 -1.0 -1. 0.5 0.3 -0.2 -0. 2.0 2.3 1.9 1. 1.3 1.9 2.6 3. 0.9 1.2 1.7 2. “4.4 -4.5 -4.3 -4. “2.7 -1.5 -1.4 -0. 2.8 2.7 2.5 2. 0.9 1.3 1.8 2. 1.3 1.2 1.0 1. -2.9 -3.7 -4.6 -5. 1.9 3.4 4.9 6. 1.0 1.1 0.9 0. 1.2 1.6 2.5 3. 0.3 1.0 1.4 1. “4,2 -3.7 -4.3 -5. 2.1 4.0 3.9 4.
N WON OO oOrew & Ww awFr Oh ornNnNYN
NW ONN
(%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
SFYEFSO NOOUNL
PArNN
SNR rR SI OO
OorwWOoO Ff
oOo MOMNWre
Onn Ne
—
the baseline path.
ww NV REMS
WRN WO
DUNNO RN WO We
Fr AW a
-0.
-2. -2.
roy
FFPFRS ‘ WUNOF
NEMS W
Nore FW OWW OW
owoon
DAN FAN
-76-
TABLE A-7: CANADIAN MONETARY SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%).........2cceee “0.0 -0.1 -0.2 -0.2 +0.1 -0.1 -0.0 0.0 Price Level (%)............ 0.0 -0.0 -0.0 -0.1 -0.1 -0.2 -0.3 -0.3 Int. Rate (ST)(+/-)........ “0.0 -0.1 -0.2 -0.2 -0.2 -0.2 -0.3 -0.3 Exch. Rate (FX/USS)(%)..... -0.5 -+0.8 -1.3 ©-1.7 -2.2 -2.7 -3.3 °-4.0 Current Bal. (US$,B)(+/-).. -0.7 1.9 -2.6 -2.9 2.5 2.5 -2.2 -1.6 CANADA Real GNP (%).......... 200. “0.5 91.2 91.7 *2.0 2.0 -2.1 2.3 -2.5 Price Level (%)............ -0.9 -1.6 ©2.6 °3.9 95.5 +-7.4 -9.5 -11.7 Int. Rate (ST)(+/-)........ 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (USS$/C$)(%)..... 3.5 5.2 7.1 9.5 12.4 15.7 19.4 23.4 Current Bal. (USS,B)(+/-).. 0.9 1.3 1.6 2.2. 3.1 3.7 43 #45.0 GERMANY Real GNP (%)........eccceee 0.1 O11 0O.1 #=0O<f.1 O11 O11 0.2 40.2 Price Level (%).........06. 0.0 0.0 0.0 0.0 O11 O11 O12 0.2 Int. Rate (ST)(+/-)..... eee 0.0 -0.0 -0.0 0.0 0.1 #O.1 #O0.1 420.2 Exch. Rate (USS$/DM)(%)..... -0.0 0.1 0.2 0.4 #0O.5 O16 O.7 420.9 Current Bal. (USS$,B)(+/-).. 0.3 #O0O.3 0.6 1.0 14 2.1 #3.0 4.1 JAPAN Real GNP (%)..... cc cecceee 0.0 -0.1 -0.1 -0.2 -0.2 -0.2 -0.3 -0.3 Price Level (%)..... ec eceee 0.0 0.0 +-0.0 -0.0 -0.0 -0.1 -0.1 -0.1 Int. Rate (ST)(+/-)........ 0.0 -0.0 -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 Exch. Rate (US$/Y)(%)...... -0.1 O11 0.2 O13 0.4 0.6 0.7 0.9 Current Bal. (USS,B)(+/-).. 0.1 -0.1 -0.5 -0.7 -0.9 -1.1 -1.4 -1.8 UNITED KINGDOM Real GDP (%)... cece ec cnes 0.1 #O.1 0.1 #O.1 #Of.1 O<f.11 O11 0.1 Price Level (%).........0.- 0.1 0.1 0.1 0.2 0.2 #O.2 0.3 0.3 Int. Rate (ST)(+/-)........ 0.1 O11 0.1 #O.2 O<f.1 0.2 O<.2 0.2 Exch. Rate (USS/PS)(%)..... “0.3 -0.3 -0.1 0.0 0.0 0.1 0.2 0.3 0.1 #O0.0 0.0 -0.1 -0.0 0.0 0.0 40.1
Current Bal. (US$,B)(+/-)..
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
-77-
TABLE A-8: UK MONETARY SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%).....-..2-0eeee -0.0 0.0 0.0 0.0 0.0 0.0 O.O 0.0 Price Level (%).......-.-.0-% 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 Int. Rate (ST)(+/-)........ 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 Exch. Rate (FX/US$)(%)..... -0.6 -0.7 -0.9 -1.0 -1.3 -1.6 -2.0 -2.5 Current Bal. (USS$,B)(+/-).. 0.0 0.5 0.2 0.2 0.3 0.4 0.5 0.6 CANADA Real GNP (%).....-.2- ee eens -0.0 -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -0.1 Price Level (%)......---2-- 0.0 0.0 0.1 0.1 0.1 0.0 0.0 -0.0 Int. Rate (ST)(+/-)........ 0.0 0.0 0.1 0.1 O11 Of1 O12 20001 Exch. Rate (US$/C$)(%)..... -0.0 -0.0 -0.1 -0.1 -0.0 0.0 ‘0.1 O.1 Current Bal. (US$,B)(+/-).. -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.90 -0.0 GERMANY Real GNP (%)....---.-eeeees 0.0 -0.0 0.0 0.0 0.0 0.0 O.1 O01 Price Level (%).....---2e+- 0.0 OO. O12 O<ff121 O<f.1 Of1 0.2 0.2 Int. Rate (ST)(+/-)........ 0.1 #00 O.O O11 #O.1 O11 O11 0.2 Exch. Rate (US$/DM)(%)..... 0.0 -0.0 0.0 0.0 0.0 0.1 O11 O.2 Current Bal. (US$,B)(+/-).. 0.0 0.0 0.2 0.2 0.4 0.7 1.1 1.6 JAPAN Real GNP (%)....---s ee eeces -0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 Price Level (%)......--.-5- 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Int. Rate (ST)(+/-)........ -0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Exch. Rate (US$/Y)(%)...... -0.1 -0.1 -0.0 -0.1 -0.1 -0.1 -0.1 -0.1 Current Bal. (US$,B)(+/-).. 70.1 0.1 0.2 0.2 0.3 0.4 0.7 1.0 UNITED KINGDOM Real GDP (%)......---e ee eens -0.6 -0.9 -1.2 -1.4 -1.5 -1.8 -2.0 -2.4 Price Level (%)......--..-- -0.8 -1.1 -1.5 -2.0 -2.9 -3.9 -5.2 -6.7 Int. Rate (ST)(+/-)........ 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (USS/PS)(%)..... 3.0 3.6 42 5.0 6.2 7.9 9.9 12.4 Current Bal. (US$,B)(+/-).. -O0.1 -0.2 -0.9 -0.9 -0.9 -1.4 -2.4 -3.8
NOTE: Amounts shown are deviations from the baseline path.
(%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
~78-
TABLE A-9: GERMAN MONETARY SHOCK
1 2 UNITED STATES Real GNP (%)......eee ee eens 0.0 0.0 Price Level (%)............ 0.0 O.1 Int. Rate (ST)(+/-)........ 0.0 O.1 Exch. Rate (FX/USS$)(%)..... -0.9 <-1.2 Current Bal. (USS,B)(+/-).. 0.2 0.9 CANADA Real GNP (%).....-. eee eens -0.0 -0.1 Price Level (%).........8- 0.0 0.1 Int. Rate (ST)(+/-)........ 0.0 O.1 Exch. Rate (USS/CS$)(%)..... -0.0 -0.1 Current Bal. (USS,B)(+/-).. -0.0 <-0.1 GERMANY Real GNP (%)....-..2--eeeeee -0.3 -0.7 Price Level (%)..........--.- -0.5 -0.7 Int. Rate (ST)(+/-)........ 1.0 1.0 Exch. Rate (US$/DM)(%)..... 2.9 3.6 Current Bal. (USS,B)(+/-).. 0.5 0.1 JAPAN Real GNP (%)...... seer eeee 0.0 0.0 Price Level (%).......0208> 0.0 0.0 Int. Rate (ST)(+/-)........ 0.0 0.0 Exch. Rate (USS/Y)(%)...... -0.2 -0.1 Current Bal. (US$,B)(+/-).. 0.3 0.3 UNITED KINGDOM Real GDP (%)..... see eceee 0.1 0.2 Price Level (%)..........-.. 0.3 0.4 Int. Rate (ST)(+/-)........ 0.1 O.1 Exch. Rate (US$/PS)(%)..... -0.4 -0.5 Current Bal. (US$,B)(+/-).. 0.0 O.1
-0.
-0. -0.
-0. -0.
-0.
oooo9o Wn oon°e
ogoce FFN FH
PRP OWFRPrPH
mMoowvo
-0.
-0. -0.
-0. -1.
-0.
NOTE: Amounts shown are deviations from (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
osoo°o
ogee
5 6 7 1 0.1 0.1 0.0 1 0.1 0.2 0.2 1 0.2 0.2 0.2 5 -1.6 -1.8 -2.0 1 1.3 1.4 1.2 1 -0.1 -0.1 -0.1 1 0.1 0.0 -0.0 1 0.1 0.1 O.1 1 -0.1 0.0 0.1 1 -0.1 -0.1 -0.1 9 -0.8 -0.8 -0.8 2 -1.6 -2.0 -2.4 0 1.0 1.0 1.0 5 5.0 5.6 6.1 5 -0.9 -1.4 -1.9 0 0.1 0.1 0.1 0 0.1 0.1 #20.1 0 0.0 0.0 0.1 2 -0.2 -0.2 -0.3 7 0.9 1.1 1.5 1 0.1 #O.1 O11 5 0.6 0.7 0.9 2 0.2 0.3 0.3 5 -0.6 -0.7 -0.7 4 0.5 0.7 0.9
the baseline path.
-0. -0.
-0.
-0. -2.
-2.
rooo°S wo rrrrH
roOoorSo rPworOP
Reh ee bd ON WN O
WN oO @ vo
-79-—
TABLE A-10: JAPANESE MONETARY SHOCK
UNITED STATES
Real GNP (%)...........-08- Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (FX/US$)(%)..... Current Bal. (USS,B)(+/-)..
CANADA
Real GNP (%)........ceeeeee Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (US$/CS$)(%)..... Current Bal. (USS,B)(+/-)..
GERMANY
Real GNP (%).......c ce eeeee Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (US$/DM)(%)..... Current Bal. (US$,B)(+/-)..
JAPAN
Real GNP (%)......- eee eee Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (USS/Y)(%)...... Current Bal. (USS,B)(+/-)..
UNITED KINGDOM
Real GDP (%)..........0200- Price Level (%)............ Int. Rate (ST)(+/-)........ Exch. Rate (USS/PS)(%)..... Current Bal. (USS,B)(+/-)..
NOTE: Amounts shown are deviations from the baseline path.
-0. ~0. -0. -2. -2,.
-0. -0. -0.
-0.
-3. -3.
rooo°O COWN De
PrPNHOrF Re
WONnr &
NF OO”
-0. -0. -0. -2. -2.
-0. -0. -0.
-0.
“4, -3.
Noooo FWON We
RFP WNHe ©
WONN Fe
NWON OO
1 2 3 4 5 6 0.0 -0.0 -0.1 -0.1 -0.1 -0.1 0.0 0.0 0.0 0.0 -0.0 -0.1 0.0 0.0 -0.0 -0.1 -0.1 -0.1 “0.6 -0.7 -0.9 -1.3 -1.5 -1.8 0.1 -0.5 -1.3 -1.9 -2.2 +-2.4 0.0 -0.0 -0.1 -0.1 -0.1 -0.1 0.0 0.1 0.0 0.0 -0.0 -0.1 0.0 0.0 -0.0 -0.1 -0.1 -0.1 “0.0 -0.1 -0.1 -0.1 -0.0 -0.0 0.0 -0.1 -0.1 -0.2 -0.3 -0.3 0.1 O.1 0.1 O.1 O11 0.1 0.0 O.1 0.1 O.1 0.2 0.2 0.0 0.0 0.1 O.1 0.1 O.1 0.0 -0.0 0.0 O.1 0.2 0.2 0.4 0.3 0.6 0.8 1.0 1.4 “0.6 -1.5 -2.3 -2.9 -3.4 -3.7 “0.1 -0.3 -0.6 -1.1 -1.7 -2.3 1.0 1.0 1.0 1.0 1.0 1.0 2.7 3.2 4.1 5.2 6.3 7.4 -1.1 -1.3 -0.5 0.0 O03 0.5 0.0 0.0 0.0 0.0 0.0 0.0 0.1 #O.1 O11 #O.1 0.1 0.1 0.0 0.0 O.1 O11 O01 0.1 -0.1 -0.2 -0.1 -0.1 -0.0 0.0 0.1 0.0 -0.1 -0.4 -0.6 -0.8
(%) = percentage deviation from baseline
(+/-) =
absolute deviation from baseline
ooo0c°o
Orr rFO
roooe PNrrF Oo
TABLE A-11:
-80-
US MONETARY SHOCK
1 UNITED STATES Real GNP (%).....-.e eee eces -0.4 Price Level (%)............ -0.1 Int. Rate (ST)(+/-)........ 1.0 Exch. Rate (FX/USS)(%)..... 1.6 Current Bal. (US$,B)(+/-).. 1.4 CANADA Real GNP (%).......e-eeeeee -0.4 Price Level (%)........060. -0.1 Int. Rate (ST)(+/-)........ 1.0 Exch. Rate (US$/C$)(%)..... 0.0 Current Bal. (USS,B)(+/-).. -0.2 GERMANY Real GNP (%)....-- eee eeeece -0.1 Price Level (%)..........-- 0.3 Int. Rate (ST)(+/-)........ 0.4 Exch. Rate (USS$/DM)(%)..... -1.6 Current Bal. (USS,B)(+/-).. -0.6 JAPAN Real GNP (%)......ceeceeeee 0.3 Price. Level (%)........-.-- 0.1 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (USS/Y)(%)...... -2.2 Current Bal. (USS$,B)(+/-).. 0.7 UNITED KINGDOM Real GDP (%).......-eeeeeee 0.1 Price Level (%)........---- 0.5 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (US$/PS)(%)..... -2.2 Current Bal. (US$,B)(+/-).. 0.1
-0. -0.
-0. -0.
rNOOO PND UW
owooe NUP OF
Nuon Oo
fFrwoww wo
ODF KR
-1. -0.
-0.
Aw Oe OrOoanFf
WANN OO
oFfore Oe & RD
ooo oO Ww
-1. -1.
-0.
NOTE: Amounts shown are deviations from (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
rRooS wRooS
oMUOr Oo
5 6 5 -1.5 -1.4 Q -1.5 -2.1 0 1.0 1.0 9 4.7 5.4 6 -0.3 -1.1 3 -1.1 -1.0 5 -2.4 -3.4 7 0.6 0.5 2 0.6 1.1 8 -0.8 -0.9 2 0.2 0. 8 0.9 1. 5 0.6 0. 2 -5.0 -5. 3 -3.0 -3. 8 1.0 1.3 3 0.5 0.7 2 0.3 0.4 5 -5.4 -6.3 9 3.3 4.9 1 0.0 -0.0 5 1.9 2.3 5 0.6 0.8 1 -6.2 -7.0 6 1.0 1.9
the baseline path.
HRoon —&
-1. -2.
-2.
-0. -4.
-1.
Pre O ON
PROS
NN OF fF
-0 2 1.
-7 3
oWMWONrF
Haw FU oan MW UI OO
OWWd oO
-1. -3.
-3.
-0. -5.
-1.
NED OW DAWwWwrenn Rew OO On ON O
AnWr OF
-8l-
TABLE A-12: 5-COUNTRY MONETARY SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%)........2-- eee -0.4 -0.9 -1.3 -1.5 71.5 -1.4 -1.3 -1.1 Price Level (%).....-...-.-. -0.0 -0.1 -0.4 -0.8 -1.3 -1.9 -2.5 -3.1 Int. Rate (ST)(+/-)........ 1.0 1.0 12.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (FX/US$)(%)..... -0.0 0.4 0.7 1.1 1.5 1.9 2.3 2.6 Current Bal. (US$,B)(+/-).. 1.5 1.5 0.5 -0.7 -1.9 -3.0 -4.0 -5.3 CANADA Real GNP (%)........e2eeeee “0.4 -1.0 -1.4 -1.6 <-1.7 <-1.7 -1.7 -1.6 Price Level (%).........4.. 0.0 -0.2 -0.8 <-1.7 -2.9 4.4 -6.0 -7.8 Int. Rate (ST)(+/-)........ 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (US$/C$)(%)..... -0.1 0.1 0.6 1.5 2.7 4.2 5.9 7.8 Current Bal. (USS$,B)(+/-).. -0.2 -0.4 -0.7 -0.6 -0.4 -0.3 -0.1 0.1 GERMANY Real GNP (%)........2eeeeee -0.2 -0.4 -0.4 -0.3 -0.0 0.3 0.6 0.9 Price Level (%).........-..- 0.1 0.1 0.2 0.3 0.4 0.5 0.7 1.0 Int. Rate (ST)(+/-)........ 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (US$/DM)(%)..... -0O.1 -0.4 -1.0 -1.8 -2.8 -3.8 -4.9 -6.1 Current Bal. (US$,B)(+/-).. 0.0 -0.5 -1.2 "1.9 -2.7 -3.5 -4.1 -4.4 JAPAN Real GNP (%).......-e ee eeee -0.3 -0.9 91.4 1.7 -1.8 -1.6 -1.3 -0.8 Price Level (%)............ -0.0 -0.1 -0.3 -0.6 -1.0 -1.3 -1.5 -1.6 Int. Rate (ST)(+/-)........ 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (USS/Y)(%)...... 0.1 -0.1 -0.1 -0.3 -0.6 -1.1 -1.8 -2.6 Current Bal. (USS,B)(+/-).. -0.5 0.1 0.8 2.2 3.9 5.6 7.7 10.0 UNITED KINGDOM Real GDP (%).......-2eceees -0.4 -0.6 -0.6 -0.6 -0.6 -0.7 -0.7 -0.8 Price Level (%)...........- -0.1 0.1 0.3 9.4 0.3 0.1 -¢.2 -0.6 Int. Rate (ST)(+/-)........ 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 Exch. Rate (US$/PS)(%)..... 0.1 -1.0 1.9 -2.7 -3.3 -3.6 -3.9 -3.8 Current Bal. (USS$,B)(+/-).. 0.1 0.1 0.0 0.1° #O.S5 1.0 1.7 2.5
NOTE: Amounts shown are deviations from the baseline path.
(%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
TABLE A-13: CANADIAN EXCHANGE RATE SHOCK
-82-
wee wwmem eee eee nme ee we ew me wwe mew em mm ewww meme wm ee mee wee em ewe eee eee
weer mew wm meee em ewe wm ww we m eww mm mew mmm eee we we we wee
1 UNITED STATES Real GNP (%)......-22-0ceees 0.1 Price Level (%)............ 0.0 Int. Rate (ST)(+/-)........ 0.1 Exch, Rate (FX/USS$)(%)..... -1.2 Current Bal. (USS,B)(+/-).. 1.7 CANADA Real GNP (%).....---eeeeeee -0.0 Price Level (%).....-..e005 -1.3 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (USS$/CS$)(%)..... 5.0 Current Bal. (USS,B)(+/-).. 0.4 GERMANY Real GNP (%)........---eee 0.1 Price Level (%)............ -0.1 Int. Rate (ST)(+/-)........ -0.1 Exch. Rate (USS/DM)(%)..... 0.7 Current Bal. (USS,B)(+/-).. 0.1 JAPAN Real GNP (%).........2-208- -0.2 Price Level (%)............ -0.0 Int. Rate (ST)(+/-)........ -0.1 Exch. Rate (US$/Y)(%)...... 0.5 7
Current Bal. (US$,B)(+/-).. -1.
UNITED KINGDOM
Real GDP (%)....2....eeeeee QO. Price Level (%)............ -0. Int. Rate (ST)(+/-)........ -0. Exch. Rate (US$/PS)(%)..... 0. Current Bal. (US$,B)(+/-).. -0.
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
NN WwWr OO
-0. -1. -0.
-0. -0. -0.
-0.
0. -0. -0.
0. -0.
wNHwOOrF oO
BP PRR PR
Wwoooun
SNR eR Pb
PNR NO
-1. -1. -0.
-0. -0. -0.
-0. -0. -0.
-1.
-0. -0. -0.
0. -0.
FP Or O
FON @WO
RFP Orr Dh nO
WWrRN Oo
-0. -2. -0.
-0. -0. -0.
-0. -0. -0.
-1.
0. -0. -0.
0. -0.
NOWN oO
BPArRHO
HDnVUVOrFH
DOr WwW
FOrwWO
-0. -2. -0.
-0. -0. -0.
-0. -0. -0.
-1.
0. -0. -0.
0. -0.
NO OF
FRR r Oo
HRDnoOWAN
N @r DBD
FN WO
-0. -3. -0.
-0. -0. -0.
-0. -0. -0.
-1.
0. -0. -0.
0. -0.
nRnowoou
FWrRrH Oo
NN RD N DOF
FOr Ne
-0. -3. -0.
-0. -0. -0.
-0. -0. -0.
-1.
0. -0. -0.
0. -0.
HRDnOWWUN
NWR WD
FNHNrRr oO
AroOrO
FWrRN Fe
-0. -3. -0.
-0. -0. -0.
-1.
-0. -0.
-0.
Mow WO W
ooo00
ADooeo
NWO We DnwWOor oO
OHHH Ee
-83-
TABLE A-14: UK EXCHANGE RATE SHOCK
1 UNITED STATES Real GNP (%).....-2e ee eevee 0.0 Price Level (%).........0¢. 0.1 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (FX/US$)(%)..... -1.6 Current Bal. (USS$,B)(+/-).. 0.8 CANADA - Real GNP (%).....-eeeeeeees -0.0 Price Level (%)..........6+ 0.1 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (US$/C$)(%)..... -0.1 Current Bal. (USS,B)(+/-).. 0.0 GERMANY Real GNP (%).......20-20 00. 0.1 Price Level (%).........-.. -0.1 Int. Rate (ST)(+/-)........ -0O.1 Exch. Rate (US$/DM)(%)..... 0.9 Current Bal. (USS$,B)(+/-).. 0.5 JAPAN Real GNP (%).....-seceeeces -0.2 Price Level (%)............ -0.0 Int. Rate (ST)(+/-)........ -0.0 Exch. Rate (USS$/Y)(%)...... 1.1 4
Current Bal. (USS$,B)(+/-).. -0.
UNITED KINGDOM
Real GDP (%).......ee eens -0. Price Level (%).......-200- -1. Int. Rate (ST)(+/-)........ -0. Exch. Rate (US$/PS)(%)..... 5. Current Bal. (USS,B)(+/-).. -0.
NOTE: Amounts shown are deviations from (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
HOUwW &
-0. -0. -0.
-0.
-0. -1. -0.
5. -1.
won rR On’ wwoor ao OrFN Fr O PUD ee
oofkuF
-0, -0. -0.
-0. -0. -0.
-0.
-0. -1. -0.
5. -2.
fFOrRrF ND aAooro RMR hm hb O ODN HE &
OoOOoOnNoUW
-0. -0. -0.
-0. -0. -0.
-0.
-0. -2. -0.
5. -2.
woorr td C7COCOrF Fr OrFNN & ONDWN Fe oO
Wwovr Ww
the baseline path.
OrRNN Fe
-0. -0. -0.
-0. -0. -0.
-1.
-0. -2. -0.
5. -2.
RFPaAW ND
hb Or eh wooro
HRnovwrre
-0. -0. -0.
-0. -0. -0.
-1.
0. -2. -1.
5. -3.
RP OF DD POOF oO OoOONnN FF Oo DWW OO
OoOONF
-0. -0. -0.
-1.
0. -3. -1.
5. -3.
wwooro
Nw OrFN h&
NDWW WO
PNNRB
Nor Oo WwW
-0. -0. -0.
-1.
-3. -1.
~4.
RP WH OF
FORPNN
Far WO
nwooOr oO
rFOrRF
TABLE A-15: GERMAN EXCHANGE RATE SHOCK
ee ee eS
-84-—
1 UNITED STATES Real GNP (%).........-.00- 0.1 Price Level (%)............ 0.1 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (FX/US$)(%)..... -2.7 Current Bal. (USS$,B)(+/-).. 1.6 CANADA Real GNP (%).......--2e eee -0.0 Price Level (%)............ 0.2 Int. Rate (ST)(+/-)........ 0.2 Exch. Rate (USS$/C$)(%)..... -0.1 Current Bal. (USS,B)(+/-).. 0.0 GERMANY Real GNP (%)..... cece eee eee -0.2 Price Level (%)............ -1.0 Int. Kate (ST)(+/-)........ -1.3 Exch. Rate (US$/DM)(%)..... 5.0 Currert Bal. (USS$,B)(+/-).. 70.6 JAPAN Real GNP (%).......- ee eeeee -0.4 Price Level (%)............ ~0.1 Int. Rate (ST)(+/-)........ -0.1 Exch. Rate (US$/Y)(%)...... 2.2 6
Currert Bal.
UNITED KINGDOM
Real GDP (%).........eeeeee 0. Price Level (%)...........- -0. Int. Rate (ST)(+/-)........ -0. Exch. Rate (USS/PS)(%)..... 2. Current Bal. (USS,B)(+/-).. <-0.
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
(US$,B)(+/-).. <1.
Wworwo
-0.
-0. -0.
-0. “1. -0.
-0.
-0. -0. -0.
-1.
-0. -0. -0.
1. -0.
N WDNR WU morrn PNON NH PUN eh
MNOand Wo
-0.
-0. -0.
-1. -1. -0.
-1.
-0. -0. -0.
-1.
-0. ~0. -0.
1. -0.
FON FO
FAWNH
PORN -&
NOnwFfo
ON WWrH:
-0.
-0. -0.
-0. -1. -1.
-1.
-0. -0. -0.
-2.
0. -0. -0.
1. -0.
nNnoOON O
FAW Wr
ONN Wt
NOOrRrN SF
wwowunae
-0.
-0. -0.
~0. -2. -1.
-2.
-0. ~0. -0.
-2.
0. -0. -0.
2. -1.
DBONnWWY oonown Rr hm Dd bd Un Wr
COW Ar
-0. “2. -1.
-3.
-0. -0.
-3.
0. -0. -0.
2. el.
oOoMNkWN
wor WO
ae See)
PHN FU
NrPWN Fe
-0. -0.
-0.
-0. -2. -1.
“4.
-0. -0. -0.
-3.
0. -0. -0.
2. 1.
OWNF Lh
wooaorrro
NWN UUW FON Of
We WD Ore
-0. -0.
-0.
-0. -3. -1.
-5.
-0. -0. -0.
-4.
“1. -0.
-1.
DUN WA DOWN W OUND FoFFrrO
On For
-85-
TABLE A-16: JAPANESE EXCHANGE RATE SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%)..........2008- 0.0 0.1 0.1 0.1 0.1 0.0 -0.0 -0.0 Price Level (%)............ 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 Int. Rate (ST)(+/-)........ 0.1 0.2 0.2 0.3 0.3 0.3 0.3 0.3 Exch. Rate (FX/US$)(%)..... -1.8 -2.0 -2.0 -2.0 -1.9 -1.9 -1.8 -1.8 Current Bal. (USS,B)(+/-).. 0.8 1.9 2.0 1.9 1.7 1.4 0.9 0.4 CANADA Real GNP (%).......- eee eeee 0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -C.1 -0.1 Price Level (%)............ 0.1 0.2 0.2 0.3 0.3 0.2 jc.2 #01 Int. Rate (ST)(+/-)........ 0.1 0.2 0.2 0.2 0.2 0.2 C.2 0.2 Exch. Rate (US$/C$)(%)..... -0.0 -0.1 -0.2 -0.2 -0.1 -0.1 0.0 0O.1 Current Bal. (USS,B)(+/-).. 0.1 0.0 0.0 0.0 0.0 0.0 06.0 -0.0 GERMANY Real GNP (%)....... eee e ees 0.2 0.1 -0.0 -0.1 -0.1 -0.1 -0.0 -0.0 Price Level (%)............ -0.1 -0.2 -0.2 -0.1 -0.1 -0.1 -0.1 -0.1 Int. Rate (ST)(+/-)........ -0.2 -0.1 -0.1 -0.0 -0.0 -0.0 -0.0 0.0 Exch. Rate (US$/DM)(%)..... 1.0 1.3 1.4 1.4 1.3 1.2 1.1 1.0 Current Bal. (USS$,B)(+/-).. 0.9 0.7 0.9 1.2 1.4 1.6 1.7 1.9 JAPAN Real GNP (%)........20-000e -0.6 -1.1 -1.2 -1.0 -1.0 -1.0 -1.0 -0.9 Price Level (%)............ -0.2 -0.4 -0.6 -0.7 -0.9 -1.1 -1.3 -1.5 Int. Rate (ST)(+/-)........ -0.3 -0.4 -0.4 -0.4 -0.3 -0.3 -0.3 -0.3 Exch. Rate (USS/Y)(%)...... 5.0 5.0 5.0. 5.0 5.0 5.0 5.0 5.0 Current Bal. (USS$,B)(+/-).. -2.1 -4.7 -5.7 -6.5 -7.4 +-8.2 -8.9 -9.7 UNITED KINGDOM Real GDP (%)........ cee eeee -0.0 -0.0 -0.0 0.0 0.1 0.1 O.1 0.2 Price Level (%)............ -0.2 -0.3 -0.4 -0.4 -0.5 -0.5 -0.5 -0.5 Int. Rate (ST)(+/-)........ -0.1 -0.1 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 Exch. Rate (USS/PS)(%)..... 1.3 1.7 1.6 1.4 1.4 1.3 1.2 1.1 Current Bal. (US$,B)(+/-).. 0.0 -0.2 -0.5 -0.7 -0.8 -0.9 -1.0 -1.1
NOTE: Amounts shown are deviations from the baseline path.
(%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
-86-
TABLE A-17: 4-CURRENCY EXCHANGE RATE SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%)..........- eee 0.2 #O.3 O12 O11 O<f.1 O<f11 #0.0 0.0 Price Level (%)...........-. 0.2 O13 0.3 O14 0.5 0.5 0.6 0.6 Int. Rate (ST)(+/-)........ 0.2 0.4 O58 0.5 O.5 0.6 0.6 0.6 Exch. Rate (FX/US$)(%)..... “4.8 -4.8 -4.8 -4.8 -4.8 -4.8 -4.8 -4.8 Current: Bal. (US$,B)(+/-).. 2.9 4.5 3.2 3.2 3.5 3.2 2.8 2.3 CANADA Real GNP (%)........----06- 0.0 -0.6 <-1.1 -1.1 -0.9 -0.8 -0.7 -0.5 Price Level (%)..........-. “1.2 -1.3 -1.5 1.9 -2.4 -2.9 -3.4 -3.9 Int. Rate (ST)(+/-)........ 0.2 0.2 O11 0.0 0.0 0.0 O11 O11 Exch. Rate (US$/C$)(%)..... 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 Current Bal. (USS,B)(+/-).. 0.6 O13 0.5 0.6 O.7 #O0.6 #O.5 0.5 GERMANY Real GNP (%).........2.000- 0.1 -0.3 -0.7 -0.7 -0.5 -0.4 -0.4 -0.3 Price Level (%)............ -0.9 -0.9 -1.1 "1.2 1.4 -1.7 -1.9 -2.2 Int. Rete (ST)(+/-)........ “1.1 -0.3 -0.5 -0.7 -0.8 -1.0 <-1.1 -1.3 Exch. Rate (US$/DM)(%)..... 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 Current: Bal. (US$,B)(+/-).. 0.8 0.7 0.6 0.8 0.8 0.3 -0.2 -1.0 JAPAN Real GNP (%)........-.ceee: “0.6 -1.2 -1.3 -1.1 -1.1 -1.1 -1.0 -1.0 Price Level (%)............ -0.2 -0.3 -0.5 -0.6 -0.8 -1.0 -1.2 -1.4 Int. Rete (ST)(+/-)........ -0.2 -0.4 -0.4 -0.4 -0.3 -0.4 -0.4 -0.4 Exch. Rate (USS$/Y)(%)...... 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 Current: Bal. (USS$,B)(+/-).. -1.2 -4.5 -5.5 -6.3 -7.2 -8.0 -8.9 -9.8 UNITED KINGDOM Real GIP (%)........ cee eeee -0.1 -0.2 -0.2 -0.1 0.0 O14 O12 O.3 Price Level (%)............ “1.0 -1.2 1.4 -1.7 -1.9 -2.1 -2.2 -2.3 Int. Rate (ST)(+/-)........ -0.4 -0.4 -0.6 -0.7 -0.7 -0.8 -0.9 -0.8 Exch. Rate (US$/PS)(%)..... 5.0 5.0 5.0 5.0 .5.0 5.0 5.0 5.0 Current: Bal. (USS$,B)(+/-).. -0.1 -0.9 -1.8 -2.3 -2.6 -3.0 -3.6 -4.2
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
-87-
TABLE A-18: CANADIAN PRICE SHOCK
wee ene n wwe e ewe wee wwe we were een were we eee eee errr rre
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1 2 3 4 5 UNITED STATES Real GNP (%)....-- cece eeeee -0.0 -0.0 0.0 0.0 -0.0 Price Level (%)....--+2-00. 0.0 0.0 0.0 0.0 0.0 Int. Rate (ST)(+/-)........ -0.0 -0.0 0.0 0.0 0.0 Exch. Rate (FX/US$)(%)..... -0.2 0.2 0.5 0.8 O.9 Current Bal. (US$,B)(+/-).. -0.6 -0.2 -0.0 0.1 -0.4 CANADA Real GNP (%).....-e-eeeeees -0.4 -0.4 -0.1 0.1 O.1 Price Level (%)......--208- 1.3 2.3 3.3 4.1 4.8 Int. Rate (ST)(+/-)........ 1.2 1.0 0.9 0.8 O.7 Exch. Rate (US$/C$)(%)..... 0.4 -1.6 -3.0 -4.0 -4.8 Current Bal. (US$,B)(+/-).. -0.2 -0.4 -0.4 -0.6 .-0.8 GERMANY Real GNP (%).....eeeceecces 0.0 -0.0 -0.1 -0.1 -0.1 Price Level (%).......+---- 0.0 0.0 0.0 0.0 0.0 Int. Rate (ST)(+/-)........ 0.0 -0.0 0.0 0.0 0.0 Exch. Rate (US$/DM)(%)..... 0.1 0.1 -0.0 -0.1 -0.1 Current Bal. (USS,B)(+/-).. 0.2 -0.1 -0.2 -0.3 -0.4 JAPAN Real GNP (%)...-..eeeeeeeee -0.0 -0.0 -0.0 0.0 0.0 Price Level (%).....------> 0.0 0.0 0.0 0.0 0.0 Int. Rate (ST)(+/-)........ 0.0 -0.0 -0.0 0.0 0.0 Exch. Rate (USS/Y)(%)...... 0.1 #O.O -0.1 -0.1 -0.1 Current Bal. (US$,B)(+/-).. 0.1 -0.3 -0.1 0.1 0.1 UNITED KINGDOM Real GDP (%)........ eee eeee -0.0 -0.0 -0.0 -0.0 -0.0 Price Level (%)....-.-e+-ee- -0.1 -0.0 -0.0 0.0 0.0 Int. Rate (ST)(+/-)........ 00 #00 0.0 0.0 0.0 Exch. Rate (USS/PS)(%)..... 0.4 #O0.2 #0.0 -0.1 -0.2 Current Bal. (USS,B)(+/-).. 0.1 -0.1 -0.1 -0.0 +-0.0
NOTE: Amounts shown are deviations from (%) = percentage deviation from baseline absolute deviation from baseline
(+/-) =
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the baseline path.
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-~88-
TABLE A-19: UK PRICE SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%)...... cece eee -0.0 -0.0 -0.1 -0.1 -0.1 -0.0 -0.0 -0.0 Price Level (%)............ 0.0 0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 Int. Rate (ST)(+/-)........ -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -0.1 -0.1 Exch. Rate (FX/US$)(%)..... 0.1 0.4 0.4 0.3 0.3 0.2 0.2 0.1 Current: Bal. (USS,B)(+/-).. 70.1 -0.5 1.1 -1.4 1.4 -1.6 -1.7 -1.6 CANADA Real GNP (%).........eeeee. -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 Price Jrevel (%).........8-- 0.0 0.0 0.0 0.0 -0.0 -0.0 -0.0 -0.0 Int. Rate (ST)(+/-)........ 0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -0.1 -0.1 Exch. Rate (US$/C$)(%)..... -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -0.1 -0.1 Current: Bal. (US$,B)(+/-).. -0.0— -0.0 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 GERMANY Real GNP (%).....-.eeeeeeee -0.0 -0.1 -0.1 -0.1 -0.2 -0.2 -0.1 -0.1 Price Level (%)............ 0.0 -0.0 -0.0 -0.0 -0.1 -0.1 -0.2 -0.2 Int. Rate (ST)(+/-)........ 0.0 -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -0.1 Exch. Rate (US$/DM)(%)....- 0.0 0.0 0.1 0.2 O.2 0.2 O12 0.2 Current Bal. (US$,B)(+/-).. -0.1 -0.3 -0.4 -0.5 -0.7 -0.9 -1.1 -1.4 JAPAN Real GNP (%)....- eevee eens -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 -0.1 -0.1 Price Level (%).........-.. -0.0 -0.0 -0.0 -0.0 -0.0 -0.1 -0.1 -0.1 Int. Rate (ST)(+/-)........ -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 Exch. Rate (USS/Y)(%)...... 0.1 0.1 0.1 0.2 0.3 0.3 0.3 0.3 Current Bal. (US$,B)(+/-).. -0.0 -0.3 -0.3 -0.3 -0.4 -0.5 -0.6 -0.8 UNITED KINGDOM Real GDP (%).......-eeee0e- -0.3 -0.4 -0.6 -1.0 -1.3 -1.6 -1.8 -1.9 Price Level (%).........--- 1.5 2.5 3.1 3.6 4.0 4.2 4.1 3.8 Int. Rate (ST)(+/-)........ 0.7 0.8 1.3 1.5 1.5 1.5 1.3 1.0 Exch. Rate (USS$/PS)(%)..... -0.4 -2.1 -1.9 -1.7 1.7 -1.6 -1.4 -1.2 Current Bal. (US$,B)(+/-).. -0.6 -0.4 0.4 0.5 0.7 0.9 1.0 1.1
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
-39-
TABLE A-20: GERMAN PRICE SHOCK
1 UNITED STATES Real GNP (%).......ceeeeeee 0.0 Price Level (%)..........4.- 0.1 Int. Rate (ST)(+/-)........ 0.0 Exch. Rate (FX/US$)(%)..... -0.9 Current Bal. (US$,B)(+/-).. 0.4 CANADA Real GNP (%).....-.-eeeeues -0.0 Price Level (%).......+.6.. 0.1 Int. Rate (ST)(+/-)........ 0.1 Exch. Rate (US$/C$)(%)..... -0.1 Current Bal. (US$,B)(+/-).. -0.0 GERMANY Real GNP (%).......-2-eeee- -0.6 Price Level (%)...........- 0.9 Int. Rate (ST)(+/-)........ 1.6 Exch. Rate (US$/DM)(%)..... 2.2 Current Bal. (US$,B)(+/-).. 0.8 JAPAN Real GNP (%)........-eeeeee 0.0 Price Level (%)........-62- -0.0 Int. Rate (ST)(+/-)........ 0.0 Exch. Rate (US$/Y)(%)...... -0.0 Current Bal. (USS$,B)(+/-).. 0.1
UNITED KINGDOM
Real GDP (%)...... sss seeees 0. Price Level (%)............ 0. Int. Rate (ST)(+/-)........ -0. Exch. Rate (USS/PS)(%)..... 0. Current Bal. (USS,B)(+/-).. -0.
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TABLE A-21:
-90—
JAPANESE PRICE SHOCK
UNITED KINGDOM
Real GDP (%)........c ce eeee -0. Price Level (%)............- -0. Int. Rate (ST)(+/-)........ -0. Exch. Rate (US$/PS)(%)..... 0. Current Bal. (US$,B)(+/-).. -0.
NOTE: Amounts shown are deviations from the baseline path. (%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
1 UNITED STATES Real GNP (%)........cccceee 0.0 Price Level (%)..........4.. 0.1 Int. Rate (ST)(+/-)........ 0.0 Exch. Rate (FX/US$)(%)..... -0.2 Current Bal. (US$,B)(+/-).. 0.3 CANADA ; Real GNP (%).........000006 0.0 Price Level (%)............ 0.1 Int. Rate (ST)(+/-)........ - 0.0 ‘Exch. Rate (US$/C$)(%)..... -0.1 Current Bal. (US$,B)(+/-).. -0.0 GERMANY Real GNP (%)......eseeeeees 0.1 Price Level (%)...........- 0.0 Int. Rate (ST)(+/-)..... “eee 0.0 Exch, Rate (US$/DM)(%)..... 0.1 Current Bal. (US$,B)(+/-).. 0.2 JAPAN Real GNP (%).......---eeees -0.6 Price Level (%)...........-. 1.4 Int. Rate (ST)(+/-)........ 0.9 Exch. Rate (US$/Y)(%)...... 0.1 Current Bal. (USS$S,B)(+/-).. -2.9
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-91- TABLE A-22: US PRICE SHOCK
“YEARS AFTER SHOCK
1 2 3 4 5 6 7 8 UNITED STATES Real GNP (%).......ceeeeeee -0.1 -0.3 -0.7 -1.1 -1.2 -1.1 -1.0 -0.8 Price Level (%)...........- 1.2 1.6 1.8 1.9 1.8 1.6 1.3 1.1 Int. Rate (ST)(+/-)........ 1.3 1.4 1.3 1.1 0,9 #O.8 O17 0.5 Exch. Rate (FX/USS)(%)..... 0.3 0.4 #O.1. 0.1 #00 0.1 0.2 0.2 Current Bal. (USS$,B)(+/-).. 1.1 -1.5 -4.0 -5.6 -7.2 -8.7 -10.3 -11.6 CANADA Real GNP (%).......-- ee eeee 0.1 -0.2 -0.8 -1.1 <-1.1 -1.0 -0.8 -0.6 Price Level (%)............ 0.3 -0.0 -0.4 -°0.9 -1.5 -2.3 -3.1 -3.9 Int. Rate (ST)(+/-)........ 0.4 #0O.8 0.7 0.6 0.4 O12 O.1 -0.0 Exch. Rate (US$/C$)(%)..... -0.3 1.2 2.1 £2.7 3.3 3.9 4.5 .5.2 Current Bal. (US$,B)(+/-).. 0.0 0.2 -0.1 -0.2 -0.1 -0.1 -0.0 0.1 GERMANY Real GNP (%)......---eeeees 0.0 O.1 0.2 0.1 0.0 -0.0 0.0 O.1 Price Level (%).........--- 0.1 #02 #02 03 04 0.4 O05 0.6 Int. Rate (ST)(+/-)........ 0.2 #O.1 0.1 0.2 #02 0.3 403 40.4 Exch. Rate (US$/DM)(%)..... -0.5 -0.7 -0.5 -0.5 -0.5 -0.6 -0.8 -1.0 Current Bal. (USS,B)(+/-).. -0.1 0.1 0.3 O11 0.2 O14 O16 0.9 JAPAN Real GNP (%)....sscsccceees 0.3 O13 0.2 0.2 O02 0.2 O13 O.3 Price Level (%)..........-. 0.0 O.1 0.1 0.2 0.2 0.3 0.4 0.4 Int. Rate (ST)(+/-)........ 0.1 O11 0.1 #O<f.. 0.1 #Of11 O<f.1 0.1 Exch. Rate (US$/Y)(%)...... -0.5 -0.6 -0.5 °0.7 -0.7 -1.0 -1.2 -1.4 Current Bal. (US$,B)(+/-).. 1.8 1.0 1.5 1.4 1.6 1.8 2.5 3.3 UNITED KINGDOM Real GDP (%)......ceceeeees 0.0 0.1 O12 O<f.2 O11 O11 +2O.1 0.0 Price Level (%)............ 0.0 0.4 0.4 #O.5 0.7 0.8 0.9 1.0 Int. Rate (ST)(+/-)........ -0.0 0.0 O.1 0.2 0.2 O<f3 0.3 0.4 Exch. Rate (US$/PS)(%)..... 0.2 -0.9 -0.8 -0.9 -1.0 -1.2 -1.4 -1.4 Current Bal. (US$,B)(+/-).. 0.4 0.5 0.8 0.4 0.2 0.2 0.4 0.8.
NOTE: Amounts shown are deviations from the baseline path.
(%) = percentage deviation from baseline (+/-) = absolute deviation from baseline
-92-
TABLE A-23: 5-COUNTRY PRICE SHOCK
1 UNITED STATES Real GNP (%)........ 2c eeeee -0.1 Price Level (%)............ 1.4 Int. Rate (ST)(+/-)........ 1.4 Exch. Rate (FX/US$)(%)..... -0.9 Current Bal. (USS$,B)(+/-).. 1.1 CANADA Real GNP (%).......ceeeeeee -0.4 Price Level (%)............ 1.8 Int. Rate (ST)(+/-)........ 1.7 Exch. Rate (US$/CS$)(%)..... -0.1 Current Bal. (USS,B)(+/-).. -0.2 GERMANY Real GNP (%).......-.---0e- -0.5 Price Level (%)...... Lee eee 1.1 Int. Rate (ST)(+/-)........ 1.9 Exch. Rate (US$/DM)(%)..... 1.9 Current Bal. (USS,B)(+/-).. 0.9 JAPAN Real GNP (%).... cece eeeees -0. Price Level (%)............ 1. Int. Rate (ST)(+/-)........ 1. Exch. Rate (USS$/Y)(%)...... -0. Current Bal. (USS$,B)(+/-).. -0. UNITED KINGDOM Real GDP (%)........- eee eee -0.4 Price Level (%)........000. 1.4 Int. Rate (ST)(+/-)........ 0.6 Exch. Rate (US$/PS)(%)..... 1.1 Current Bal. (USS$,B)(+/-).. -0.3
NOTE: Amounts shown are deviations from
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SOTITTTQeTT pue sUTeTD JUSUASssAUT JoouTd “V qexuepW TeToueUTY TeUuOoTJeUdUeqUI “A
69007S Teq~Tdeo [Teey pue Aqyjfoedeg °9 soBem °¢ S80Tdd °V
Atddng pue seotdd ‘AI
aqyeu Tenuue qe ‘peqysnfpe ATTeuosees qou ‘seotud queuund ‘sqyqtun Aouduund TeOOT JO SUOTTTTG - (qunoooe quedund) TI 40 eS e4yeu Tenuue qe ‘peysnfpe ATTeuosees *‘saotud 2261 ‘sqtun Aou@uuMo TeoOT Jo SUOTTTTQ - _ (puewep oT ysewop) I uwoyAoes :peqjou es TMdeyyo ssoTUN SMOTIOJ se due JUSMeunseeW UOJ SzyUN Puepue Ss SUL “12404 BUTAYSOTPUT ulu UITM ‘pesn aue saoge Se Sepod Auqunoo euvs sul
; sueT Top “s'n queuund ut ‘f Auqunoo Wougy J Auqunoo Aq spoos jo squodut wAlTWa
SuUeTTOp “s°n queuund ut ‘f Auqunoo 04 J Auqunoo WouJ spooB jo squodxe uAfTXu
ZSMOTTOJ Se pouweu oue eTqeyueaA MOTJ apeuy Tee zeTIq oul
ayeu ATuequenb udu
sytseq squnoooe auooUuy Teuoyyeu wVINu
peysnfpe ATTeuosees you uVSNu
perasnfpe AT Teuosess uVSu
SUBTTIOPp uy pounseoul udu
enTea TeuyWoU uAu taue Sepod UOMO ewosS *qUewemMsesU jo sTseq uo S4yUN ayy eyeoTpUT 09 pesn sewTyowos eue oueU eTqeTueA e Jo &49979T qseT oul * quowyseaut ayeatud pextJ TeTquep}Tseuuou ueTpeued St UNdAIO pue ‘queuqysaauy pextj “yen ST JIgd ‘etTduexe u0d *oTgqoeds eUuy 02 Teueues eu} Wouy BuTpeedoud ATTensn SueqqeT ey. UITM ‘aTQeTueA BYy Sa ;uosep oweu ey4 JO uoTyuod STppyTW eUL _* kaqunoo aU. eyeoTpUy OF SeueU a[qeyueA
au} JO -ueI7ET YuTJ oUy SEEN UOTJUSAUOD BuyWeU aTQeyTueA SUL
-€-
setTqetuea AUQUNOD JO ae8euaae OfJujowoas
a4yeu Tenuue
qe ‘peqsnfpe ATTeuosees you ‘sadtud quauund ‘sqqyun AdusauuMd TeoOT JO SUOCTTITG
O°L = 2164 ‘uequnu xeput
deaf ued 4yuadued
a4eu Tenuue
qe ‘peqysnfpe ATTeuosess *‘sadtud queuund ‘s4tun AdusauuNd TedoT Jo sSuoTTtTqd
(seSeusae uByTouosJ) IIA 40 oes
(TeyoueuTJ Teuotyeuue4ut) IA ‘A doqoaS
soem pue sod Tud (Atddns) AI uoqoas
se zed Jsod9a ut
setqetuea Aueqouow
(sqyexueWl TeTOURUTJ) III uoyoas
¥00°0- ; -TSst’o WINS 6<0°T 000°0- VN VN (s-) 2T<°T 000°0- VN VN (>-) 298°T T00°O- VN VN (£-) 920°< T00°0- VN YN (2-) 9T6°2 100 °0- 220°2 0sg0°0 (T-) 86b°T Too °0- 220°2 ToTt’o (0-)
AVIS-1 213099V1 AV1S-1 143099V1 = SV
G8/> ‘:G21VWI1S3 £9 = GON IB £S6T 945 20 296T =39NVY (9°ST) 88° = OHU S8f2°s = SHIT NVBN SZs* = °Y°3°S STé° = BSD
(COOT % CCT-I)dX3dd - CT-1)789))) % ZAZOIOVT - +
(s99°9) (CCT-I)dD/CT-IIAGAD = 19130) % T43099V1T + “CI-J)HdND * 40°O + 6ZT¥B"S = Ud4ID
S39IUd 226T - INSHLS3AANI IWILN3GIS3SY SSOUD 3LVAI'd (ddsID) = °2
£It*o- 942°0 *WNS VN VN 022°0 600°0 (s-) YN VN S69°2 950°0 (>-) 292°0 900 °0- Soy’ oT <0T°O (<-) oTZL*2 £350°0- 822 °02 6>T°O (2-) sts*2 Ts0°0- 80 °6 96T°O (T-) Tto0°o 000°0- £56°9 £o2°O (0-)
iVis-1 2430399V1 diViS-1 143039V1 ov
S8/> ‘Q31LVWILS3 22 = GON 4D Z286T OL SD H96T 2 39RIVH (T°2Z) 29° = OHY 906°S9 = SHIT NVEWN 925° = “Y'3°S 866° = BSyd
(8b20°T) (TIZ22°T) <b * SSO0IST’ + 23 * S99ISI° + (6TbL6°2) : : TD * Ebb99b" + COCIIUMND x% (CT - COOT/(T)dX3d9 + T)/COOT/(IISUD + 1)))) % 243099V1 + . (<£686T'S) (CIIGAS) * T43009V1 + SOTSO°S = 33
S39TUd 226T - 3YNLIGNAdX] NOILdWNSNOD: 3LVAIdd (99) °T
30IS Wau JILS3WOG = °13G0N NVIGYNVD
-gG-
UNd4TD + ud4aID = dsID
S39IUd 2261 - IN3WLS3ANI O3XI4 3LVAIUd (d4ID) ‘OT
AIAVSI/AID = VYSNAID
CVSN) S33IUd .IN3YYND - 3YNLIGN3dX3 Y3SWNSNOD 3LVAIYd (YSNADI) °*6—
dJ * 39 = AID
S39IUd IN3YYND - JYNLIGNAdX3 YBIWNSNOD BLVAIYd (AID) °e
AdNSAVSI/AdNSD = VSNAdNSD
CYSN) S39IUd IN3YYND - LINGOYd IWNOILVN SSOUD (VSNAdNSD) °Z
AS3UD + AINSSWD - AINSSXI + AID + AIID + AQAID + AddID + ADD = AdNDD
S33Idd INANUND - LINGOYd TWNOILVN SSOUS (AdNDD) °9 $3u3 + INSSWD - INSSXD + 99 + IID + 9419 + ddID + ID = dNOD
S$IdIUd 2261 - LONGOYd IWNOILWN SSOY9 (dNII) “SG
S8/b *OaLyMTIs3 28 = GON 98 286T O1 2D T96T *3ONVE
s0S° = Md £29°9T = SHIT NV3H 955 = "u°a°S 666° = oBSUYI . (1696°T) (S02°<b) (YSNAID - ALD - YSNAGNSD) * ZET9TO" + (T-)dd * 6800°T2 + C200L9E° ) (29£92°T) (8E282°T) (28TE20"°) (89ZT°9T) (T-)dWD * 626T00" + +B * 6T694T° + -B * 265652" - 2B x 4SE200"° + 496£2°6- = AVIII
$39Idd LNIYND - JINVMOTTIV NOILdWNSNOD WVLIdvVI (AVIII) “%
6S0°S<~ TSs<°
0 *WNS VN VN sI2"2 9%0°O (o-) GL6°2 £2 °9T- 2£2S°2 s20°0 (z-) 886°2 6£0°02- ro2°s 280°0 (2-) 2et°2 STo°It- OSb"s 280°0 (T-) 6S0°T 0£9°6 eZe°T 090°0 (o-)
dViS-L 243039V1 AViS-1 1133039V1 ov
S8/> :Q31VWILS3 29 = GON TB £86T OL £B 996T *39ONVU
ToZ*T = MG 922°9 = SHIT NV3WN S6b° = “U°S°S S6° = BSD (£0092°2) (AIDIT3IG * £59260" + ; (S8869°T) (€(CT-1)YNIND)130) * 233039V1 + ((CT-1)dN99)130) * T43039V1 + SWHIL * £9STTO” + (8S6T°9T) (L6Z5T°2) (CZ-)UNdRD * 90°O - (T- NUNd ITO) * LL9Z26° + (T-)UNdND * 90°O + 66TTbL°- = YNdJID
S39IUd 226T - LNSWLSSANI TVILN3OIS3U-NON SSOUS 3LVAIUd (YNdJID) *f
00% x* ((dN99)901)130 = dNOH dd
aiva WNNNY - @N9 NI 3SNVHD 30VINaOUId CdNSHDd9) 9° ST
AGAIVSI * VYSNAGAD = AAD
S33Tad LININYND - AXOUd IWOINI a1evsodsia (ANAS) §=° LT d3/¥VSNAdGAD * AGASVSD = (AD
$391dd 2Z6T - AXOUd SWOINI JIWVSOdSIG (IAD) “OT
S8/> *Q31VWI1S3 Te = GON % O86T OL 20. O96T *3JONVY
(Z°T) G6T° = OWN £2E°62 = SHI NVBW IST°T = °u°d" T = oSy3 (2bb°o22) (222°2) (<2TIt’2) (2sTt9°s) (Tz26S°=) VSNAdGAD * ST>ES6°" + £B x LZ22Z29L° + 2B * 656652" + TR x 60268°2 + £Ze62°T- = VSNAUAS
(ALIIN3GI ISvnd) (VSN) Sd9IUd Inawund - AXOY¥d BWOINT JIGVSOdSIG (YSNAUAD) “ST
AVII9 - ANVULD + AIILI - ALD - VSNAdNSD = VSNAdLIAD
(VSN) S39Iud LN3XYND - 3WOINI JTGVSOdSIG TWNOSUId (VSNAd(IAD) = ° oT
_ dd * IID = ALIS
S33Tad INININD - INSWLS3ANI AYMOLNSANI 3LVAIUd (ATID) *ST
Ad4aTAVSI/Ad3TD = WSNAd:|ID
CVSN) S33Iad IN3IYUND - INSWLS3ANI G3XI4 3LVAIYd (WSNAdHID) °° 2T
dd * d3ID = AdiID
S33Tad INIWND - AIN3MIS3ANI G3XI4d 3LVAIYd (AdsID) = “TT
-li-
ASIATAVSI/ADSID = VSNADIID
er ww a oo nn oo oe ne ee en ee ene
(VSN) S39Tud IN3YYND - INSWLS3ANI G3XI4d IN3WNY3ZA09 (VSNADJID) 8°52
dd * 54ID = ADIID
S39TYd INFN - INSWLS3ANI G3XI4d LNAWNY3A09 (A9DSID) 86“ £2
SadTYd 226T - S3SVHIYNd NOILGWNSNOD INAWNY3SA09 (ADD) = °22
S8/> ‘Q31VWILSA 62 = TO <£86T OL 2 GL6T *39NVU (9°S) 692° = OHY SbS°Ss = SHIT NvaN Tls°t = "y°a°S 86° = BSYD (85ST °9) <0 * S86GZL°=E - (£>269°S) (92822°9) (9T£T6°8) (922469 °° ) 2B * 9686°T - TO * 2T2es"s + CAGNILD - VSNAGNDD) * BSISE9T" + 2ec98°2- = AGNILD
CALTINIGI ISvNB) S3IId LNAWUND - LIFYIGNI - S3xXVL (AGNILD) “12
S8/> :Q31VWILSA 92 = GON Td eet O15 Td Zot ie
(a°T) 992° = OHU Té6T° = ail NV3W TOO" = ‘3a°S 466° (9900°2T) (92629°T) £0 * 922800" - 20 x ZTETOO" + (9T296°T) (C9TSb°ZT) “(1962 °SE). (6£9S0°T) TO x SZETOO”" + JAULID * L6LTLZ° + AULD * GTS8S" + S2<es00" = VSNAdNSI/CAGNILD - ALD)
S33Tdd INIMUND - JNN3ZARY INAWNYSA0S W1OL (ALD) = °02
$S9°0 =WNS ovs "2 st0°o (Z-) Ovs*2 9<0°0O (9-) OvS°2 ¥50°0 (s-) Ovs°2 £20°0 (>-) 0vS°2 160°0 (<-) OvS°2 60T°O . (2-) Ovs "2 22T°O (T-) OvS°2 S>T°O (0-)
AVis-1 143039V1 Sv
S8/> G31VWILSA 6S = GON 48 286T OL 2b 696T = ees
(T°>) beG° = OHY £62°bS = SHIT NVBN T26° = "Y'S°S 866° (6368T°T) (o2T89°2) (92885°9) (1T428°9T) £0 * G60ZE" ~- 2B * 9OHLEB° + TO * 22662°T + dd * GTdOdD * 28Z22<°T + (C OOT.T8D % 2/00 T-IIdSND - CIIdGSND - CT-I)SGWNID + (I)4AGWNID))) * T43099V1 + (92S8b°S) (2982°9) dd * (001/319 * NND) * 92698°>S + %T8S9°S- = ANVULI
¥YOLI3S INAWNYAIAOS °G°I'S
$/43089 + (T-)3GWNI9 = JAGHNID
S331Tdd IN3WIND - LIDIS3C LN3WNY3A09 G3aLVINWND (4G0WN)D) *92 ANVULD + AIILI - ALD - ADJID + AID = 43099
(8@Sd) SISVG VIN - 1LIDI430° INSNNY3A09 (33099) °G2
-6-
(VS) S391dd IN3SYIND - HLYOM L3N (AMND) = “Os
VSNUMND x MNAVSD = UMND
(VS) S39IUd 226T - HLYOM L3N (YMND) “EE
- . CVSN) S39IUd 226T - HLYOM LAN (VSNUMND) “Ze
dJ x VSNXIMND + VSNAJIMND = VSNAMND
CVSN) S39IUd LN3YUND - HLYOM LAN CVSNAMND) ‘TES
(d3 % %)/SNAYMNGD + (T- )VSNYIMND = VSNDIMND
CVSN) S39Tud 226T - HLYOM 13N JIGISNVL (VSNYMND) = (“OF
>/SNAAMNGD + (T-)VSNAJIMND = VSNAJIMND
(VSN) S39Iadd IN3NUND - HLYOM LIN TVIDNVNIS (VSNAJMND) 8°62
AVI99 - AIID + VSNASSID + VSNAdJID = SNAYMNGD
CVSN) S39IuYd IN3YUND ~- HLYOM LIN JIGIONVL NI JONVHD (SNAWMNGD) = °82
YSNAID - CAIID + VSNAOSSID + VSNAdSI3) - VSNS3UD - ANVULWD - ANVULD + ANVULXD + AIT - ALD - VSNAdNSD = SNAAMNGD
CVSN) S39Idd INFY8ND - HLYOM LIN TIWIDNVNI4 NI 3ONVHD (SNASMNGD) = °22
HL1V3M GNV SONIAVS aLVAIdd °9°I°9
- OT -
6Lo°T ANS 002°2 - 602°0 (o-) 00s °2 095°0 (£-) 006°¢< <s9°0 C2-) 002" 682°0 (Tt) ooTt’o 220°0- (0-)
AViS-1 143099V1 svt
@Z/T :Q31VWILSI 09 = GON %B SZ6T OL TD T96T *3ONVe (VN) 622° = OHY YN = SH? NVSW. 680° = “Y°3S°S $09" = BSA
C€COCIIIII/CLIIIII x% CIIANSXd3)/01)d9)901) x T43039V1 +
(9°T) (2°). cz") To290 * GL¥GZT° - T2220 x B2>¥90° + ITOLA * 266250" - . : (s°TU) (2°T) T2020 * 224666T° - TE2Z0 % ESbT>T° - (dNOdI/WSNAGNID)OOT x HSTEST® + (2) (2°T) | (») (£°T) sb x 16260° - 20% 92Z850° + Tb Z92@2T° - OzbSZ°- = (133 * ANOXd3)/A93X)901
(SN$) VQYNVD OL SLYOdX3 SGO09 *W'N (AIX) *9E
T02°0- [WHS Ozz°O- sTo°o- (<-) 089°0- 6£0°0- (2-) 020°Z- 090°0- (Tt) 062 °0- ¥80°0- (0-)
dvViS-1 143099V1 ov1
28/S_ = :Q3LVWILS3A 8622 = GON % OS6T OL TD £Z6T *3SNVU (Té6és8T°T) 9TE2° = OHM WN = SHIT NVSW [220° = “Y°3°S ZeZT6é° = BSD
(S0°2T-) (£T°Tt-) <6 * £9E2T° - 20% GSZG2T° - C£0° (£0°222-) TO * £2000" + (dN99)9S01 + ((€1)d3/C1)VOUL3Iddd 901) * TA30I9VT + B0S6T*S- = (1033 )901
$aoos 4O Si¥OdWI ‘V°II’S
ANNOIDV INANIND “IT'D
- It-
Ca oO » o UJ a ~~ oo °o 1
005°T ZT0°0- 2989g°0 210°0- (6-) OL>°T 0<0°0- 00Z°0 $20°0- (8-) oZ4S°T T0°O- 0Z8°0 9<0°0- (Z-) 069°T £50°0- = OST*T 8+0°0- (9-) O<8°T 0S0°0- 0<9°T T90°0- (s-) 006 °T 030°0- Ozl*2 >10°0- (o-) O22°T 9>50°0- 0oS°S 980°0- (z-) O9T’T 6£0°0- OZ8°< 660°0- (2-) 065°0 820°0- 080°2 <£It°o- (T-) <02°0 <T0°O- 06<°T 92T°O- (o-)
AViS-1 243099V1 ivVis-1 143039V1 svi
28/h ‘G3LVWILST 29 = SON Dd OS6T OL IB B96T * aN 2
(Té°T) £° = OHY WN = SHIT NWSN 950° = “Y°3'S G6" = (98°2) ; (20°6) ASINVAGS * Z2GZ5TO" + CCCI }dWOIdIN/( TI ISVNXdN)SO1) * 243099V1 + £6 % €ZSSTI° - (69°) (2°) 20 * 4.20290" + TD * STE>50°" - COCCIIdS x% C€I)T33D)/C I SVNXdN)9O1) % T43099V7 + (2S°<T) (96°9) (dN93)901 * ZS65T°T + S8O0Ll°2- = CSVNXdN/AINX )901
(SN$) VGVNVD OL S1LYOdX3 SGO0D °S°N (AINX) °6E
SZ/T _*G3LVWILS3 09 = GON 8 SZ6T OL TD I96T *39ONVY (VN) <S8° = OHY YN = SH NV3WN TIT’ = ‘u°3a°S ST9° = O8SYD
(o°2) - (8°9) ((CI3Z9/I3f * ANSXdl)/d3)901 * ZZEb2°T + (dNSd3/VSNAGNDS)SO1 x ZE86T°2 +
, (s"<) (>°T) (>°T) ( ) . £0 * 695€2T° - 20 * 68TZ50" + ID * £>b2590"° + STOS*OT- = (CIaf x% ANOXdf )/AIFX 901
CSN$) VGYNVD OL SLUOdXx3 SGOOD 3S3NVdYf (ADTX) “SE
sse°0- =WNS S0»°0- Ss0°o- CITt-) OT6°0- 420°0- (Oot-) 8<6°T- 680°0- (6-) 25S °2- 860°0- (e-) 980°2- <0T“O- (Z-) SZZ*T- <0T°O- (9-) oL19°T- 460°0- (s-) sz2°t- 480°0- (b-) Zye°t- 220°0- (<-) Sel*t- 290° 0O- (2-) 6%=°0- £20°0- (T-) T20°0 £00°0 (0-)
iviS-1 143039V1 svi
28/> =‘ GQ3LVWILSA <£> = GON 4 O86T OL 2D OZ6T *3J9NVU <Z2°T = MG WN = SHT NV3SW SOOT’ = °4°3°S 82225° = BSYD
(96ZTL*d-) <b * £8922" - (6098<°-) (28S8T°- 20 * 822910" - Td * 860600° - CCCCIIIID 3% €IId3)/70I NIN * CIIANSXd9)901) x* T4zZ0D9V1 + (99869°s) (£SeS2°<~-) (d3/VSNAdUN9D 5901 * 6Z0S2°T + L22es°9- = CC839 % ANDXd9 )/AI9X 901
(SN$) VAOYNVD OL S1YOdx3 SGOO0D NYWU3A9 (A98X) “LE
- 2t-
S$8/> ‘Q31VWI1SA 48 = GON %d zeet ote 2B 196T > 39ONVY
ST>°T = MG 680°T = SH1T NV3N S80° = 996° = SUD (9625°2) * (94E5°LT) (9$29269°) (1-)AD3X % ETRIST’ + ADAX % 965986" + SbS9TO°- = AZIN
CSNS) “WN WOUI SLYOdMWI SGOOS NVIGVNYD (AZIW) “95
S8/> *CaLVWIISS 248 = GON 2e6r oe 2B. T96T *3ONVE
26Z°T = MG 299° = SHIT NV3W 890° = "U°3a°S 826° = BSUD (Te290°) (L952 °€T) (£1921) (T-JAISX % £69012" + AISX * SOSST6’ + -9Z29T00° = ASIN
CSNS) ANVWUIS WOUI SLYOdWI SG009 NVIGYNVD (ASW) “Sb
S$8/> ‘Q31VWILSI 8 = GON © 296T Ol 2B T96T *39NVE
TOO"2 = MQ %02°T = SHIT NV3W 160° = ‘U°3"S 266° = O8SUD CLE9T6°2) C2%b6 °TT) (%66TT* )
CT-JAIFX % LozTHb° + = ©=—ADTXK & G0Z99" + 96ZT00° = ACW
ween nnn nee + ee ee
(SNS) NVdv¥f WOUS SLUOGNI SGO00S NVIGYNYS CAIN) °° ob
S8/> [Ga1VWIIS3 28 = GON 8 Z286T OL 2B T96T *JONVa
2o0°T = MG 919°9 = SHIT NV3W £59° = “Y'3°S 486° osud (898s °<) (6SZT°OT) (21299°9)_ (T-)ADUX % ST9S6T° + ADUX * ZZHT8S" + S46TTZ’ = ADIN
(SNS) GTYOM 40 1S3¥ WOUI SLYOdNI SGOO9 NVIGYNY3 CADEX) Sb
YZATOSWD + (TOSWd3 * 109ND)901 = (ATO9NI)901
3NIVWA ~- SLYOdWI TIO (AIOONS) °2b
YIIOIND + 10B9 - BSAVG/(10S3)130 + 1O9XD + 1099.= 1O9ND
(QGN) BWNTOA - SLYOdWI TIO (109ND) “Td
8Z£/T_ G3LVWILS3 09 = GON 8 SZ6T OL TD T96T = 39NVY 6£°T = MG VN = SHIT NV3W £92° = °Y°3°S ‘166° = BSYD (>) (8°0) (>*o) (( T33/SXdM0N )/d3 901 * 20S062° + (dNOdI/VSNAGNDD)I9N1 x TS8Z7S°T + £0 % 69ZEST° - (6°) (6°2) (9°92) ; zB x 266520" + TB x SLO880" - 96609°S- = (SXdMOU/( UID * ATOOWD - AYON))907
we a te wr rw ow ew we no ee we ee ew we ee wwe noe
(SNS) G1YOM 40 1S3Y WOU SLYOdNI SGOOS NVIQGYNYD (AUIN) °O%
- £T -
ANSWd9/ASWD = SND
$39IUd 2Z6T - SLYOdWI SGOO9 NVIGYNVD IWWLOL (SW)
Y3ASND + Y39/ALIW = ASN)
S39I¥d IN3YIND - SISVG dOG - SIYOdWI SGO09 NVIGVYNVD TVLOL (ASWD)
AYIW + ANIW + ASIN + ADDN + ACIW = ALIN
(sans) SISV@ 1Od - SLYOdWI SGOO9 NVIGVYNYD TVLOL (ALIN)
S8/> ?GS1LVWILS3
28 =
GON 58 286T O1 2B eee. * JONVY
$LT°T = MG 690°02 = SHIT NVAW 206° = “Yas 5sud
(Lysbs° (T- JAINX % 2oZ<TO"
- $T -
) +
(298° Ts) (90022 °9) AIM * GOZ9Z°T + 992ET°T- = ANW
°S°N WOUI SLYOdWI SG009 NVIGYNVD (AND)
‘0S
“6%
“Sb
“Lo
YISXD + CCADKI/ATOSXD - TI*HANDXdD % CASKI/ATONXS 1 109X%d9 )/AIXD = SKI
S33Tad 226T - SLYOdX3 SG00S NVIGVNVD TV.LOL (SXD) ‘SS
Se/ *G32LVWILST 69 = GON 4% 286T OL 2b. S96T *39NVE 99e°T = Ma S£@°Z= = SH NV3W 209° = °U°a°S 666° = OBSYD
(629°0S2) COVASXD - Y3D * ATOSXD + ALIX * 629296" +
(6Z2TE°T) CzT926°T) (S90T9°2) . <b % G6ZTSZ° - 20% T9889" - 98060" = 4U439 * ASXD
(ALIIN3GI ISvnd) Sa9Iud “wNI-SISVa dOd - S1YOdX3 SG009 “NYD WALOL (ASX) °° OS
ADK + ANIK + AIDX + AIDK + ACIK = ALIX
S39Iud INIWWND - SISVG LOG - SLYOdX3 SGOOD NVIGYNVD TWLOL (ALIX) ‘£9
O8/T ‘G3LVWILSA 6% = GON Id O86T OL TBR 896T = 39NVY (VN) 202° = OHY VN = SHT NW3W SOT" = “4°3°S £26° = O8SUd
(69°2) (29°) (T-)ASIX * T2ebe° + AID * G2690°T = AION
CALILNJGI-ISVNB) $SN -- ANVWYIS OL S1UOdX3 NVIGYNVD (A9DDX) °29
4aAT09XD + (109Xd) * 109XI)901 = (AT09X3)907
BNIVA - SL¥OdXI TIO (AT09X9) “TS
$009 40 S1UOdX3a ‘“G°II’D
Y3AASHD + AGNASWD + AGASWD = AASWD
SIN3WAVd SWOINT IN3SWIS3ANI (AASWD)
Y3ONASHD + ((AGNASX9)130) - = CAGNASWS 3130
SIN3HAVd 3WOINIT IN3WIS3ANI 1LI3NIG-NON € AGNASND)
© CANSd9/101709) * SZ°O + (T-)101789 = 101749
SYINSIINOS OL SAILIVIGVIT 1L93NIG WA3L-9NOT Wv3u 40 WOOLS (101749)
ASHI + ASW = ASSWD
mem we ew mw eee on we oe ee wow een ee ee we nen we
S33IAN3S GNY SGO09 4O SLUOdWI (ASSN)
AASHD + AOSWD = ASHD
W1LOL - SISVG dOd - SAIDIAUIS 40 SLYOdWI (ASHD)
S@/> ‘Q31VWIIS3 26 = GON Tb £96T OL TB 0961 *JONVa (2°) 20° = OHN 6%E°- = SHT NVBW 25T° = “U°3S°S Ts6° = BSD
(50° 9) (800T" Ze) ; (AdN99)907 * B9HE2Z° + LI96L°S- = CANVYLNI)907
WLOL - SIN3WAVd YAa4SSNVUL (ANVULWD)
6 S8/b *daLVWILS3 IS = GON 8 2961 ou 2b OZ6T_ * JONVY
e8°T = MG 620° = SHT NV3H 200° = “w'3a°S 225° esud (88666 °9) (STZ°9) £B x 9TZ0Z0° - 2B * 092610" - (Z0629°9) (2bZ90°T) ( £98489") TD * S868TO° - ((CT-JdNSd3/dNSd3) * » * ETOOSO" + 609620°- = CdNSdd % 101789) /AGASHD
SLN3WAVd 3WOINT IN3WLS3ANI 1934Id ( AGASHS)
587% ?G3LVWI1S3 88 = GON ITB £96T OL TD I96T 2 JONVE (8°2) Té2° = OHN £S59°T = SHIT NV3W 280° = “4°a°S SS6° = BSUD (8Z9S9T°) COCT= 8339/0 T- dN) /CT-3d3)907 * Z98TT" - (Tes0ZZ°) (9956 °T2) (TS86 °ST) €C4339/dNIAd3)901 * GB899G" + (dN93)901 * 266S2°T + S82b69°5- = (€8339/dN)/AOSWS 1901
"29
“19
°09
"6S
“Ss
“LS
“9S
SUISSNVUL GNV S3DIAUIS JO SLYOdWI °3°II°S
- 91 -
SNINSSWD x INNAVS) = INSSIWD
(VS) Sd9Iud 2Z6T - SISVG VIN - SLYOdWI ( INSSWD)
SWd9/(AASWD + AOSWI) + DSWD = SNINSOWD
(VSN) S39Iud 2Z6T - SISV@ VIN - SLYOdWI ( SNINSOWD)
SAINSIWI x* AINNAVSD = AINSOND
(VS) S329Tad IN3INUND - SISVG VIN - SLYOdWI ( AINSSWD) AASWD + AOSWD + ASHI = SAINSOWND
CALIINIGI ISVND) (VSN) S3IIYd LNaYUND - SISVG VIN -. SLUOdNI (SAINSOWD)
-ite-
“L9
“99
“G9
“99
( dN9dN/7839) % JGL109 * G2°O - (1T-)90LTN9 = 301789
SUINOIINO4 NO SHIVID LI3NIG WYS1-9NOT TW3Y 4O NIOLS (9017UD) °° HZ
ASXI + ASXD = ASOXI
S39 IAU3S aNY $G005 40 SLYOdX3 (ASOXD) “<2
AASXI_ + AOSXD = ASX
WLOL - SISVG dO@ - SAIIAURS 40 SLUOdX3 (ASXD) “22
$@/b ‘:GBIVWIIS3 26 = GON IB £86T OL TD O96T *39NVU (2°2) 922°) = OHN TT°- = SHIT NV3N 2sT° = “Y"a°S 26° = BSUD (s062<°8) (g2T8°"9) (>ooTS 8) (dNDN)SOT * Z6268°T + (dN9SdN)S01 * 222956" + = =606L096°ST- 38= 8 ANVULX9)9071
SL1dI393Y YAASNVSL W.LOL CANVYLXD) = °TL
900°0 [RNS o<8°2T tT00°0 (z-) $<8°2T T00°0 (2-) o<e°2T 200°0 (Tt-) $28°2T 200°0 (0-)
41V1S-1 143039V1 vi
S8/> :G31VWI1S3 > = GON % 296T OL pe IZ6T *J9NVU (6°) 465° = OHU 229°>- = SHIT NVBW 545° = °Y°3°S G6° = BSD (T2Z602Z°2) CCCIId149 - CINdIID) HH CIDTIN) *% T43099V1 + 892E2°2- = AGNASWD - AGNASX)D
SidI3938 SWOINT INSWLSAANI LISUIG-NON CAGNASXS) 8°02
S8/5 amt iss TS = GON 58 286T OL TO OL6T > 39NVU
(9°T) 6T2° OHY T+O° = SHT NV3W 600° = “4°3°S S9T° = BSYD (89222°2) ( 9292239" ) NIN * S89000° + %%T62TO°- = (839/dN9dN x* IOL1TAD)/AGASXS
$1dI393uN 3WOINT INSWLSAANI 1943NIG CAGASXD) °69
S$8/> ‘:GALVWI1S3 88 = GON Td £86T OL 2D T96T :39ONVY
S86°T = MQ %02°T = SHI NVAWN £2° = "Y°A°S 299° = OBSYD (90ST2°T) (9X3)901 * SbLZTbE" + (99ZSTS") (6990S °T) (S252 °T) (dN9d9/439/dN)SOT x S892" + CdNSN)SO1 * 206288" + 922T6°S- = (dN9d9/A0SX3 1501
S3IIAUWRS YAHLO JO SLUOdXa (AOSXI) 89
Sua4dSNVUL ONY S39IAN3S 40 SLYOdX]a “G°II’IS
- OI -
SNINSSXI x% INX4VSI = INSIXS
(VS) S33Iad 226T - SISVG VIN - SLYOdX] ( INSOXI)
SXdI/CAASXI + AOSXI) + OXI = SNINSOXI
(VSN) S39Iudd 226T - SISVE VIN - SLYOdX3d (SNINSSXI)
SAINSOXI %* AINX4VSI = AINSSXD
(VS) S39Iudd IN3JXUND - SISVG VIN - SLYOdX2a (AINSSXI)
AASXI + AOSXI + ASX = SAINSOXD
(VSN) $39Idd inguuno - SISV VIN - SLYOdX3 (SAINS9X9) UYIAASXD + AGNASXI + AGASXD = AASXI
S1dI393¥ SWOINT LNAWLS3ANI ( AASX9)
- 6T -
“62
“ZZ
“92
ANVYUIND - AASWD - AOSWD - ASW - ANVULXD + AASXD + AOSXD + ASXD = TvVEUNID JINViVa INNOIDV LNSYYND ( 1vEuNID) “+8
INSSWD - INSSXI = INXLIN9D
S39Idd 2261 - SISV@ VIN - S3IAIYSS GNV SGOOD 4O S1L¥OdX3 13N (INXL3JND) “<8
Ivas) + 1vE99 = Ivas9d
S3IIAUIS GNV SG00S NO JINVIVE INJNUND (1VES99) “28
ASHD - ASX = Taso
SJIIABAS NO JINVIVE ININUND (C1VESD) “Ts
ASW - AIX = 1VE99
JINVIvE Javul SGOOS (1vE99) “O08
SJINVIVA °3°II'S
- 02 -
: i 77)
22zT'¢ 000°0 (Z-) 22T°S 000°0 (9-} 22t°s 000°0 (S-) 22T°s 000°0 ($-) 22t's 000°0 (£-) 22T°€ : (2-) 22t's 000°0 (Tt-) 22t°e 000°0 (0-) 1ViS-1 143099V1 ov S8/> oa YIISS 6> = GON 4d Ze6T OL <b OL6T_?3ONVY (6°992) 956° = OHM ZET° = SHT NV3H 200° = ‘N'3°S 66° Su (962222°) (C1)SUD) *% T43099VT * YSNAMNO/YSNAID x 622600" t ¥h06%S" ) (£8SS0°T) (9L€50°2) (9592%°6)
+) * 619000" - <b 129000° - 2B 8SST00' + S<S660° = YSNAMNQ/CS9
SLISOd3G SSNIAVS (0s9) wy 4:)
22S °2- ote°o [wrs £96°9 0°O- VN VN (9-) £86°9 TST °o- VN VN (g-) £86°9 TZ2°0- VN YN (t-) 2£86°9 29 °0- VN VN (s-) £96°9 259°0- VN YN (a=) £86°9 <95°0- To6°T TZ<°0 t1-) £96°9 £29°0- LvE°z% 629°0 (O-)
= =
AVLS-1 2423039V1 dviS-1 143095V71 3
S8/b one eS 95 = GON Td £86T AL re 696T *3ONVa
(S°T9T) 686° = 2o°2 = SHIT NV3N STO" = “u'a"S 26° = BSYD (68265°2) (9S8<2°2) (82982 °<) TeteG * StZSz20° + Teed * 288770" + ToSZ0 * SBEs0° + (es2Te°T) ; CCOOT/(IISUD + TISO1) *% 243099V1 + (CCIJdNS3)901) * TI30I9VI + «=6SSSES°T- = (dN9Sd9/TWI 507
TW - Al1ddNS AINOW (tna) “98
aon a FAWNT LSA 09 = GON Stet OL 13 T96T *JONVY
= SHT NV3W SZ000° = ‘Y°3°S T6* bsu3 (>) ; (9°6) SYD * 622000" - VSNAMND/VSNAUNSD * 619950° + (°) (sg) (2°2) (8°) (>) 3WIL x Z>T000° - bd x S89TOO" - <b x $9800" - 25% GZSTOO" - S9>>500" = YWSNAMNI/UfI99
ADRIVW IWIINWNIS ILLS3NOO “III'S
-12-
C2°e) 2@3XId4509 * FE229C| * £86000"
(T°
+B * 499900°
00% * ((TNI)901)130 = TWHIdd
3LVa TVANNY - TW NI JONVHD 39VIN39N3d (THHIdD) = * 26 GL3 + IW) = 2WD 2W - AlddNS A3NOW (2WD) “16 GND + GSD = dL9D SIN30IS3Y AG 13H SLISOdad AWIL (G19) °06 waqq) + anda - TWD = ddgd SIN3GIS3Y AG G13H SLISOd3d GNYW3G0 (aad) ‘62 8Z4/T ‘G3LVWILS3 09 = GON 4 SZ6T OL TD T96T *F9ONVY 25° = MG WN = SH17 NVBW 600° = °4°3°S 256° = O8SUD (2°) (2°T2) (Sun - SYD) * TO8000" + ‘YSNAMNI/VSNAdNDD * 9TZ62T° + (z°st) = VSNAMNI/GND
(2°) (t's sb x T6010’ - 208% 8€2900° - Z2eSb0°- = SLISOd30 3DILON (OND) °88
- 2 -
S69°0 WAS <T>°TT £<0°0O (S-) <Td°TT 990°0 (o-) <T>° TT 660°0 (<-) <td It 2<T°O (2-) <Td°It S9T°O (T-) <To°tt 86T°O (0-)
iViS-1 143099V1 ovT
S8/> ‘:Q@31VWI1S3 GZ = GON Dd Z86T OL TD 996T *JONVa
(9°2T) £8° = OHY £29°S = SHT NVSN 625° = 6° = obSYud (8Z8TS*) (CIJSUD) * T43099V1 + Z£ette’2 = TH
SYV3A OT - SONO@ VOVNVD 4O °“1A09 - 3ALVY ISAYSINI WY3L-9NOT (1U9) ° 46
43asu3 + dH3dd + dHIdN - SUN = Sud
Y3adVd ANVdWOD 3INVNI4 AVG-06 ~- J1LVY 1ISINZINI WY31-LYOHS (SYD) “£6
S31LVY 1S3Y31NI GNVY YOLIIS ONIWNVE ZLVAIUd “A°III’D
- 2 -
HLOD + dOND + TVANGSD + S°O * (LOVIVIND + (T-)LIVIVAND) = NED
S3DuNOS - 133HS JONVIVE WNVE TWaINSD (NED) 86
undd + JY + YY = Ned
S3SAN - 133HS JINVIVE WNVE TWAYLN3D (4D) °26 $%/dONG) + (T-)dSND = dOND
S3ILIYOHLNY AYVL3SNOWN 3HL 4O NOILISOd .LN3WNY3ZAC9 13N (dIND) = °.96
S$8/> :Q31VWI1S3 68 = GON Dd 286T OL ED O96T * JONVa
(6°Sb) SoT°T = OHY 220° = SHIT NV3W 60T° = “Y°3°S 266° = OBSUD (2969 ° 52) (TZ095b° ) OOT/( G13 * @D + GD * VD) * 6TZ00°T + G>T6G0°- = rt be]
S3ILIYOHLAY AYVLANOW “3° III’S
-~ 62 -
dNSI/AdNSI = dNSidd
LINGOYd TWNOILVN SSou9 yOd YOLVISAG (dNIdD) = HOT
S8/>b -G31LVWILSI OS = GON 286T Ol 20 OZ6T *39NVU
(8°60T) S86" = OHH 25° = SHIT NVAN STO" = "Y°3S°S 866° = OBSYD (<S¢e2ZT") (9289°0T) (2S69T°T) CCT- JMWAXdI3)901 * bZE0TO° + (MWNAXd43)901 * 596629" + HE2222° = (133 % ANSDWdd)S01
. XAGNI ANTVA LINN LYOdWI (CANODWdD) = *<SOT
S8/p :Q31VWILSS 62 = GON Dd 296T OL TD £Z6T = 3ONVY (z°>T) b2@° = OHY 2° = SHIT NV3N 220° = "Y°3°S 868° = BSUD
(T969ET° ) (S9<TO°T) (86b55°T) (<z8s¢°T)
<b x £60100" + 2d * 629600" - TD * 9Z6TTO" + (CT- JMLINNAD/T) * SS9bOS" + . : (69S9=°2) (46T92°T) : (CT- IMLAXddD/( T- IFN % (T-IWOUdD)9O1 x G6ZG82° ~ (WOdd))901 + SZ9TSO0° = (ANSXd9 501
XAONI ANTVA LINN LYOdX3 (ANSXdd) °ZOT
Y3IdIdd + (d9I901 = (Iddd9)501
X3QNI 391d YSWNSNOD (Iddd9) “TOT (z-Idd % (CT + OOT/dX3d9) = Tdd
ALVY NOILVISJNI GVAHV-GOIYad-3NO YO4 AXOUd (Tdd) ‘OOT
S20°0 469°0 *WNS
6Tt<°T oto'o 4sZ°T | TS2°O (Tt-) O£6°T sto°o S86°2 Sbb°0 (a-)
AV1IS-1 243039¥V1 dV1S-1 143099V1 ov
S8/5 -Q31VWIISS 0% = GON ID £86T OL Td <£Z6T *FI9NVY
(9°S>) £66" = OHN ZIb° = SHI NVSN 900° = “Y'S°S 666° = bsud (s9222°T) (8zTs8" ) (62Z282°) £0 *-60TZ00° + 2B * $9ZT00" + TS * SO0b000° - (T8EEZ°T)
CCCET-JYNIND 3STI 90 - J000000"T N3HL O 37 (T-)YNIND JI ) + 11901 ¥ (T-)dd)901 * O8bZ00° + ( TIONNd3 9071 * £2°O + ((C1)I99/01)ZZ2110d0)901) * 243099V1 +
(99£22°9) (CC IIM3)901) * T43099V1 + SbBlb6°- = (d3)901
S39Idd V°AI*D
AlddNS ONY S39TYd “AI*9
- $2 -
00% * ((d3)901)130 = dH3d9
31Va WANNY ~- 13A57 391dd NI JONVHD F9OVINIINIAd ( dHIdd)
C(WOGYVHSI/( CINSSWd9)907 x* (WOGUVHSD - T) - (d9)901))dX3 = WOddd
(WS) (G3AONIY SLYOdWI) NOTIdyOSaY IILSAWOG LIDIIdWI YO4 YO1V14390 (WOdd))
((149/22110d0)901 * 22296 °O/( 2bE596°0 - T) - 2b£2S6°0/( INSDWdD)901)dX3 = TIONNdD
3IIYd LYOdNI TIO-NON ( TIONWd))
(rexZ8°O * TT OL O =F ) WAS/E(% - FIADNSdI/00% - FIdUNDdD - ( fF )dNOdD) % (F-)%**Z8°O ¢ O STI- = FIWNS * OOT = dX3d9
SNOTLV193dX3 AUVNOILVIANI (dX3d9) INSSWI/AINSSWND = INSOWd9
SISv@ VIN - YOLV1430 LYOdWI ( INSSWdd)
S$8/b ‘?Q31VWI1S3 OZ = GON + 286T OL 20 S26T * JONVY
(>°>T) 698° = OHY 492° = SHIT NV3N 920° = “Y°3S"S 966° = SUD (26229°S) (20663°2) (s<22eT°T)
((T- JANDWd3 501 * GZ22559° + (CANSWdD)901 * 25290E° + 9ZST<£0°- = (SWd3)501
SADIAUSS 40 SLYOdWI YOA YOLVIAAG (SWdd)
S8/> ‘:G31VWIISI 28 = DON % 296T OL TO T96T *39NVU
(2°) £20°- = OHY SIT” = SHIT NWEWN SE0° = “Y'3°S 466° = OSYD (2sT"<et) (2229'S) (d3)501 * 22620°T + os9Tzo°- = (S$Xd3)901
SAIIANAS JO SLYOdXA YO YOLVIAIA (SXd9d)
= 92 -
“TIT
“OT
“60T
“80T
“LOT
“90T
“SOT
ZSsT°O =WNS 608°0 T<0°O (<-} 608°0 2>0°O (2-3 608°0 2%0°O (T-} 608°0 Tz0°0 (O-}
dvis-1 133099V1 svi
58/o '@3LVWILS3 z> = GON TO £86T Ote bd 2Z6T * aN
202°T = MG S82°2 = SHI NV3N <00° = °¥°a°S 866° = (2<29° TT) ( 19909") ; (CT- 33133901 * 56TT99" + CH19}901 * S8TZ22° + (£29202 ° ) (2292°<) SWIL x Z8TOOO" + (CCCI)JH13)901)130) % TS30390V1 + L2e8T°I- = (3723507
Q3A01dWa YOaEVT (319) =“ STT
4319/0313 - 413) * OOT = NND
3LVY IN3SWAOTdWSNN (NND) = °o>TT
N et + °
699°T 9T0°O- (Z-) Tzt°t 120 °O- (9-) sTt9°0 <T0°O- (s-) T62°0 900°0 (>-) ZIT? 2<20°0 Cz-} 9995'S T80°0O (2-) 026°9 9<T°O (T-) ¥26°S £02°0 (0-)
dVis-1 T430399V1 ov1
S8/> ‘Q31VWI1S3 ZZ = GON’ Td S86T OL TO S96T *39NVU
(£°S) 402° = OHN ZOSG*- = SHIT NV3SW 500° = “4°3°S £66° = BSD (S£06°TT) : (98T60°9) JWIL x ZO9TOO" + (CCI 3STdOd3/(13313)501) % TS3J03I9V1 + Ts068z°- = (STdO0d9/41:)}501
39u04 OVI 64719) “SIT
S8/> <Q31VWIISA =6£9 = GON TB S86T OL TB 296T *39NVY
(T°2) TZ2°- = ZOHY (6°2) 9TO°T = OHY 2b°2 = SHIT NVSW 982° = “U°a°S S08" = osYd (86992 °<} (9996 ° >} - NND * 9266S" - ©52680°9 = dX3d9 ~- (5-)MD/00T * ((>-)M3 - MD)
SNIUNALIVSNNVW NI ALVY a9VM ATUNOH (M2) ‘ZU
AN3WAOTdWA ONV S39¥M @°AI‘o
- lZ2-
005 %* ((M3)901)130 = MH3d9
31Va TVANNY - SSSVM NI 3ONVHD JSVINAIYNAd (MH9d9) = “ZIT
$90°0 WS 9TZ°T 960°0 (T-) - £98°0 220°0 (o-)
AViS-1 TIIOIVI ov
58/7 *O3LVWILS3 Tb = GON TO £86T OL 6B 2Z6T = 39NVU
(<°Tt) Gs@° = OHM G62°S- = SHT NV3W 900° = "4Y°3°S 996° = OdSyd (808966 ° ) Cz2zeb° ) ( 928629" ) <0 * 222500" + 2B * GZ0200° - Td * G96T00" - (29229°T) ; SWIL * 296000° + COCCTIND X% CIINIDIION - (29G2%E°2 * OOOT/S9E * (1)1099)901)) * Ts3099V1 + ; (T9602 °5) COND % NIDISOT - (29G%E"2 *% OOOT/S9E * 1099 - INSSWI)ISO1) x SSTS8T" + (990T*OT) (6<T6y° ) CO§D ¥ N33)90T1 - CH1D)9SO1) * b28TTZ" + £>0HG2°- = O93 * N33)901 - CINSSWD + dN9S39)901
SYNOH MOBY] ATI33M 39VYSAV (HID) “OTT
- 92 -
(29229°T) AWIL * 296000°
+
CCOND % 6°986)901 - (29G2E°2 * OOOT/S9E * (1)1099)901)) * T43099V1
SND + YNdWD + Wd) =
WLOL - WIOLS W1IdVd SSOYs) (19)
UNdND + UdWD = dd
3LVATYd - 4901S WLIdv¥d SSOuS (dd)
$/94ID + (T-JOND ¥* (H/9NDSI - T)} = 9D
AINSWNYZA09 - XIOLS WiIdvI ssoYwsd (9D)
S*0xx(6/90°O - T) * %/UNd4ID + (9790°O - T) * (T-)UNdxD =. YNdHD
S3dIudd 2Z46T - W1LIdVI WILN3IGISAY-NON 3LVAIYd LIN 40 NOOLS (2INdxD)
S°0x«(4/50°O - 1) * %/HddID + (4/50°O - T) % (T-)UdxO = WAND
S39Tad 2Z6T - W1IdVD WIINAGIS3SY ALVAIYd 13N 40 NIOLS (Ydyd)
$90°0 *WNS 9TZ°T 960°0 (T- 298°0 220°0 _CO-
ivis-1L 143039V1 Sv
(8098566 ° ) (£2<8b° ) C9SBbLg°) (zB x 222200" + 2d x $Z0200° - TS * S96T00" -
+
(T9602 °)
(OAD % 6°86)9071 - (29S2E°2 * OOOT/S9= * 1099 - INSSWI)NOT) x SSTSET* +
(990T°OT) COND % 6°86 )501 - (Z66T°6E % 419)901) % SZETIZ" +
(6£T69° } CD % 6°86)901 + £60552°- ) dX3d + INSOWD - = LOddN9D
(NOLLYNba H19 NI G3LVWILSS SIN3JIII44309) dN WILN3LOd ( LOddN99)
Y3NID + ((.10ddN99/dN99)1907)790 = ((N99)907)7a0
“b2T
“eel
“22t
“Tet
“O2T
“OTT
“SIT
SNIOLS W1IdVD WAY GNY ALIvdvd 9°AI*D
7 62 -
(YAVDA0D + OOT/dXAadD - (OOT/1UD) * CAMLD - T)) * CYLNVYDD - T) = YOND
CAWIINAGIS3SY) WiId¥D JO 1S0D YaSN (YIN) “°LeT.
(SALI
- T)/CYNAVDAGD + OOT/dX3d9 - (O0T/ THD) % CIAULI - T)) % CUNINVYSD - dadd49 * JAULI - T) = YNINID
CIWILINI0GIS3IY-NON) WiIdvd JO LSOD Y3ASN (YNIND) °92T
(CYNAST19
x% C(CCOOT/ THD) x% CDIAULI - T))-))dxXa - COCCUNTWES/T - T) % YNAISTID) * (COOT/IND) %* CDAULD - T))-)dX3) % CCCUNTVGD/T - T) % YNSSTIID - YNASTIID) * COOT/1THD) % CIAULID - TII/CCCYUNTIVEI/T - T) YN3SI1D) 3% (CYUNSSIID/YN1VES )- ) dX3 + COC CUNTVE9/T - T) * YN3STID) & CCYUNSITIID/YUNIVED + (00T/1489)
% (JAULI - T))-))dXa - T) % CUNSAIND/ YNIVED + (00T/14D) * CIANLD - T))/YN3STID/YNTIVED = d30339
NOILVID3ud4a0 DJIWONODA (d30943) °S2T
- 0¢ -
/101109 - (1-)10119 = 10119
SYSNSTZNOA OL SZILIVIGVIT 1LI3NIG WH31-9NO1 JO NOOLS (10119) ‘62T
$/I901109 - (T-)30L19 = 30119
SU3NITINOI NO SWIV1D 1O3YIO WH31-9NO1 JO NOOLS (90119) °szT
LDRVW TWIDNYNIS TWNOLLYNUZINI *A‘D
- Ig -
98b°L TZT°O *WAS o003°0 2£92°T- 006°< 300°0 (g-) 002°0 092°2- 00" 9T0°O (o-) oos°0 6£>°T- 006°< $20°0 (<-) 005°0 223°0 006°< ££20°O (2-) 006 °T 906°< 00b's Tb0°O (T-) 00S °T ots’*s 00°: 6+0°0 (0-)
dvis-1 243099V1 ivis-1 143099V1 svi
SZ/T Md tee 09 = GON %D) SZ6T OL TO T96T *39NVU
T2°T = M ‘SHT NVSW TOO°T = “Y°a°S 2bbb° = OSD (z°T) ToTZ0 * 62692°T - ((I)Y3D/T) % 2430391 + CCCIIMNADT30) x% Tdz009V1 + ce") ce") (£°2) 92290 * Bb606L° + OGOTAGD * SBb6lG°" - %T69AGD * 626TO°T + Cs°Tt (8°2) (Z2°T) (T) T289A0D * 206600" + 92TS90 x TZO92°T - 92290 * £89S0°T - (van - 183)140 * ZT868S" +
(2°) ce") ( ) cc + oO x GTZbO0E" + <b x 199202" - 2B x 29L9%E°" = 468z>°S- = Idi1d3
22290 * 2825S
SUSNSTINOS OL SSTLIVIGVIT OIF1O41LNOd WYAL-9NOT NI 39NVHD (1di109) °<sT
SZ/T ‘?Q41LVWILS3 09 = GON +d GZ6T OL TD T96T *39NVU 2 osu
(VN) 622° = OHY VN = SHIT NVSN 5ZT° = “4°3°S 280° =
(TT)
TToZd * 2hbZ9T° - (a°) (2°22)
(117014309 )150 * (£22290 - T) x T2TZ200° + (€783)740 - (19NI1E0) * SIHTET" + (2°T) (T*) (T°T)
£27290 * 4) x SOTIOT’ - £22790 * £d x 89800" - £22290 * 2D x SBZ860° +
(>°T) (z°) (9°T) (2°) bo x 268260" + <b x Sb66TO" + 2B x STZ9IT* - 9SZTZ0° = (T-) x% 3di7109
SYANSTINOI NO SWIV1D O11041N0d WYSL-SNOT NI JONVHD (3d17109) °*2<sT
ravanogd) + FavudSD + VHOND + SVANGD - 301709 + 101709 + IdL10GD + 1d1109 + ANVULWD - AOSND - AASWD - ASWD - ANVYULXD + AOSXD + AASXD + AIXD = dV¥4NQD
SL3SSV NOIZYOJ LIN NI JONVHD YO4d G3A10S - ALIINSGI dOd@ (d¥4NQD) ‘TST
uauad + (dX4adN + SYN - dX3dadd - SUD) * £0°O + (CT-)TdO/CT-3TdNISOT = (439)907
CNOILISOd 13SSV NOISYOI LIN WU3L-LYOHS GQSLYSANI) 3LVY 3ONVHIXS (439) “OST
SMO14 TVLIdVD YSHLO “G°A°D
- 2 -
$/1d1109 - (T-)1dL1D = “idL19 SYINSISNOS OL SAILIVIGVIT OLIOALNOd JLVAIUd WY3SL-INOT AO NOOLS (1119) ‘SET $/Id1L109 - (T-)IdL19 = 2dL19
SYSNDIFYOS NO SWIV1D O11041NOd 3LVAIYd WYFL-9NOT JO NOOLS (IcLI9) “LET
8£/T ‘G31VWILS3 09 = GON Dd SLOT OL TD T96T °39NVU Sb°2 = MG WN = SHI NV3W 868° = “Y'3°S SOSs’ = HSYuD
(€°T) (8°T) ToTza x GZ2SS2°T + TSTZa x £5299°'T - (4°2) (ANVULWD - AASWD - AOSWD - ASW - ANVYLXD + AASXD + AOSXD + AOXD) x BOL8Z2° - (1's) - (9°S) (CASH )730 - (A9XD)730) * 6808ZS° - (YSNAMND : T)1aq * SIess’ - (9° . *») — ) bb x S906" + fsb x 9TZ6T°2 + 20% SBOSS°L + ZEEZT*T- = OONVID SNOISSIWNO ONY SYOUN2 (OGNVAD) * 9ST 895°0 $+60°0 >WNS YN YN oo2°s 200°0 (g-) UN YN oo2*s s00°0o (o-) 005°0 626°0- 002 200°0 (<-) 005°0 288°0- 002° 600°0 (2-) 002°0 OdT‘O 002°< T10°0 (T-) 009°0 - gsT'z 002°£ 5T0°0 (0-)
iviS-1 243039V1 AViS-1 143039V1 vl
SZ/T ?d31VWILS3 09 = GON Dd SZ6T OL TD T96T > 39NVY Sb'2 = MG WN = SHI NV3W 525° = “U°3"S 9925" = BSUD
(6°T) ; TbIZ0 * Gez0G8°" + (€1)839/T) * 243099¥1 +
(9° “T (2) CCCIIMNN)130) * T42099v1 + $T69A03 * SSOZOZ" + TT52@0 * 626216" - 9ZTS90 * LHZz9bH° - (2°<) (s° “T) ££2290 * (ADWDITAG * 299592" + (SUNITS0 * Z69HIT° - SIYIXAGD * £29505" - (2°T) (2) (6°T) (9° ° (ASWD)130 * 2Z2TT60° + oD * £29595" - £0 * £905Z2E° - 20 * TZb6° - 80bZ8z°- = 118403
SY3NST34OI OL S3ILIVIGVIT WH31-LYOHS NI JONVHD (11809) “SET
GaLVWILS3 09 = SON dD SZ6T OL TD T96T :39NVU
SZ/T ? ST°2 = MQ WN = SHIT NV3W TZZ° = *Y'3°S 406° = BSYD (8°T) (a°) (2°) (>°T) TETZ0 * b226H°T - 921990 * I805ZT° + 92290 * bTIZez2° + TToL0 x ZE2ZT°T - (s° (2) (s°T) ‘Idild3 * 29882T° + (A9XI)130 * ZETZST° + (1¥014309 * 1)130 x (<Ezz9q - 1) x Ssaso° + (2°2) (>°<) (9°2) bT69AGD * G869GL° + (49SH49)1390 * 929855" + (S¥3)130 * Sessey° - (TT) (z) (9°) (24°T) . bd % 106225" + 2B * 886296" + 23% 6965T° - <TOvsg°- = (T-) x* ILSaD
SU3NOTIAO4 NO SWIV1D WU3L-1YOHS NI J9NVHD (2109) “oET
-~ $F -
WL13 + 143 = d149
SY3NOI3Z¥O4 OL SFIILITIGVIT 40 NOOLS (149)
30113 - 349 = d349
SY¥SNSTIYO4S NO SWIV1D OL104LYOd (d949)
MOND + OVIND + 90119 + Id1719 + 91S9 = 349
S¥INITIYO4A NO SWIV19 4O NIO1S (949)
6/11S09 - (T-)11S9 = 11S)
SY3NOTINO4 OL SFILITIGVIT WH31-LYOHS JLVAIYd 40 NOO1S (11S9)
$/ILS09 - (T-)31SI = I1S9
SYANST3404 NO SWIV1D WYFL-LYOHS JLVAIYd 4O NOOLS (9189)
- oF -
“oT
“2oT
“Tot
“ObT
“eT
<T0°0- 00g °T 900°0 006°0 g00°0O- 002°< <£T0°0O-
AVLS-1 %43099V1
(9°2) + (T-)dSND * T8eZ990° CCLJOVANGD) * £43099V1 + £22290 * (( T-1)139) x 243099V1 +
22600°T * I39 = 439
XJONI 3LVY JINVHIXA LOdS (139) ‘ST
-2 % ((2-)OVAND + (T-)SVINDI/CT- JAIN = 24axX143909
Cala GaXI3d) JONVHD JLVY FONVHOXE 03193adx3 uOd AXOUd (23XIS309) = * LT
ooo * (T - GVAIIR9/I49) = LvO14309
C(3iva SNILVOTS) JONVHD 3LVE JONVHIXA G3LIadX3 HOA AXOUd (.1VOT143IGI) °° 9bT
<T0°O 922°0 ‘ 962°0 WS 00< °2 200° 0- 00%°0 £352°0- 00s "2 tts °0- (2-) 000 °T s00°0 00S °0 $Z39°0 o0o08°0o 922°0- (T-) 000°S 9T0°0O ooTt*o £60°0- 009°S <<T't (0-)
AVis-1 £43099V1 AVIS-1 243039V1 ivis-1 143039V1 ovl
8Z/T ‘*G3LVWILS3 09 = GON SZ6T OL TD T96T *F9NVE ££°T = MG VN = SHT NV3W TO" = “Y°3a°S £26° = SUD
(te) (T°<) £22290 * ((T-)dSND x ZETI60° + dSND * GZb060°- )
(Z°2) - dOND * 99TSSO" + £22290 * (CI)OVANGD) x* 445099V1 +
9°) (9°)
( . (€T-1)IF9) *% T43090V1 + STOTbZ°- x 2290 + Sysees: = av311I353
X3GNI 3LVeY JONVHIXE L0dS G31 (GV31I39) “ST
SdIHSNOTLV13Y JLVY JONVHIXT °9°A‘'D
- G -
>/9VANGD + (T-)SVAND = SVINI
SSILIYOHLNY AUV.LINON JO SLASSV NOIZYOI LIN JO AIOLS (9VAND) “TST +/YYOND - CT-)IOND = WOND SLISSV .LN3WNUZA09 JO HDOLS (49ND) “OST I9/T ‘G3LVWILS3 0% = GON 20 O86T OL ZB OL6T *39ONVU b2°T = MG WN = SHIT NV3N $8°2 = ‘Y°S°S 942° = OSD 99°e-) (9z°2-) (>°2-) (9T°T-) - (439-) * Ze9Z°LZ2 = $269°69 - } «x 156920 + ((T-JSVIND * 26056" - (2°) (ST°T) 69T2°2 ) x (I6940 - T) = SVANQD
( CCT-)9OVAND * S62ZE'T “6bT
(T - (1-)4¥99/839) * TS69°%> +
AINSWNUZACD JO SL3SSY NOIZXNOI LAN NI JONVHD (SVINGD)
- 95 -
2° OXXNNT % GZHILT*OXXNNA % £°OXXNND % TLS8Z5°0%xNNN = ML:INN4D
C(SLHST3M J0VUL G3XI4) 3LVa INAaWAOTdN3NN NOT3IYOI (MLINN4D) = “SST
2° Oxx( Tar x ANOXde) * 6ZHTLT°Ox*( IZ % ANOXd]a) * £°ORX( 199 x ANSXdS) * TLS822°OxxANSXdN = ML:IXd49
C(SLHSTAM JQVUL G3XI4) JDIYd LYOdX3 NOIFYOS (M149:ddD) °° HST
Gay * 2£4°0 + SUN * 89Z°O = 4=1SN49
SWIVTI NOI3YOS - JLVY 1SIYFINI WU3L-LYOHS NOIZNOS (49SN49) "EST
OZWIMI*ETOSNdD % UZWLMI*ROXAMON % CZWLMD%( T3C 3% ANOXdE) % ACWIMIxH( IAI % ANDXdS) * OZWIMD**(I39 * ANSXdD) x NZWLMI*XANOXdN = MAAXdd9
C(SLHSI3M LYOdWI JTGVINVA) 391Ud 14OdX3 NOTINO4 (MWAXdd9) «= 2ST
SssssSSS=SS5 BSSSsssssssscsesssssssssscesrsse=ss
(S3SVUIAV GILHOISM) SATEVIUVA NOTSNO4 “IIA’) ©
- 14 -
1) St) 900°0 29=°O =00°0- (s-) <5b°2? oTO°0- 2<8°0 g00°0 (>-) 06%°T T20°0- 90Z°T It0°o (<-) 699°T s20°0- 25°22 <T0°0 (e-) Oze°2 $20°0- Tes" >T0°0 (T-) Ty8°O 210°0- Leo°T Tt0°o (0-)
dV1S-1 243099¥1 ivis-L 143099v1 ov
S8/> :Q31VNIISI $9 = GON 4B Z286T OL 4B 996T ?JONVY
(3°) £S° = OHY ST°T = SHT NVAW 660° = ‘Y'3a°S S89° = »dSUD (To<650° ) CTIS2T°2) (S62b0°2) £0 * T9ZTOO" + 20 * £22220" + TO x TZ6Z50° - (CI)dX3d3) * 243099V1 + (8S290°s) . (£9S9<0°T) “OOT * (T-)YINA * ET8680° - ((T-I)GA3) x* T430B0V1 + (T- dH * YAVIIGA + $92599°- = dHI3
S39Tad 226T - IN3SWLS3ANI NOILINULSNOD IWIINSGIS3IY JLVAINd (dHI3) ‘SST
seZ°T- WS 998°T 6IT°o- (>-) 998°T gz2°0- (<-) 998°T 2£S2°0- (2-) 9998°T 9Z>°0- (T-) 998°T S6S°0- (0-)
dviS-1 1430399v1 ov1
S8/> :Q3LVWILSS 69 = SON 8 286T OL SD S96T = 39NVY
(>°>) 2@b°- = OHY T2e°T = SHT NVBW Ssb° = ‘Y°3°S e25° = OSUD- (99885 °T) Noa * OSZTTO" + (CI)YNINI) x T43099V1 + ($202°TT) (d093)130 * £0°O + ((2-)UNdWa * YNAVIIGT - (1-)YNdIIa) x 662219" + (9TT£66°) (1-)YNdNa * YNAVIIGT + TH029°- = UNd4dTA
SaITYd 2Z6T - IN3SWLSSANI 1VILN3GIS3YNON 3LVAIYd (YNddIa) °ZST
S8/o :G31VWI1S3 TZ = GON 8 Z286T OL ID S96T *F9NVY
($°9) £29" = OHY STO° = SHIT NV3W STO” = ‘¥°3°S 989° = BSUD (8bT50°<) o/((T - WIWISYR = O *2- = WWNS * Z59500° - (89252 °2) (19002 "<) (($- 33/0 $- )GA3)901 * 6ZTSET’ + SNODAGS * SBBSTO’ + (£6059°T) . (£29Ze°) (25292 °T) (CC T-)GA3)901 = 6)130 * £59S80° + ((GA3)901 = 69130 * Z6ZT° + BE2z2E0" = ((33)901 = %)130
S33Tud 226T - JYNLIGNAdX3 NOILdWNSNOD JLVAIYd (93) °9ST
30IS Way IJILS3WOd =: 1300W *)7'Nn
- 9F -
GHI3 + YNddTR = ddIZ
S3IIUd 226T - INBSWLS3IANI G3XI4 3LVAIYd (d4I3)
d3 * 413 = AdIZ
S391Idd INIYND - INSWLSIANI G3XI4 WLOL (Ai1I3)
SddIa + 99413 + ddIZ = 413
Sa3Tud 226T ~ IN3SWLS3ANI G3XI4 ILOL (:113)
AIAVSA/AIT = WSNAIIZ
~CVSND Sa9Tdd ANFYIND - JYNLIGNAdXI NOILdWNSNOD JLVALYd ( YSNAD3)
da * 33 = AI
S39Tad LNAYUND - FJYNLIGN3IdXa NOILdNNSNOD ALVAIUd (4:93)
AdG93 = AciIND3
S$33TYd LNJWWND - LINGOYd TIWNOILYN SSOU9 (AdNda)
dq93 = diN9I
S3IIYd 2Z6T - LINGOYNd IWNOILYN SS0uS (dNS3)
Ad@94VS3/Ad093 = VSNAdd93
(VSN) S33IUd IN3YYND - LINGOYd IILSAWOd SSOYD ( VSNAdC9I)
ArQV3 + MSAdG93 * ( AVI43 - AINSOW] - AINSSX3 + AOI + da * Ila + ASI3Z + AIA) = AdQgz
S33TYd IN3YYND - LINGOUd IILS3WOG SsOU9 (Ad0dI)
ava + MSd093 * (V¥I4d3/AVI43 - INSOWJ - INSOX3 + 93 + IIa + 4I3Z + 93) = 4093
S331ad 226T - LINGOYd IILS3WOd SSOUN (4093)
s8/5 *G3LVWILSS 02 = GON od Z86T OL 2D S96T 2 39NVH
(9°02) 46° = OHY TZ°9 = SHI NV3W 666220" = “Y'a°S 966° = OSD (8b62°0T) (90E£0°2) (T-)dWd * G65960" + Z22Ts@°I- = dN9d3/AVI0A
- 6£ -
°69T
“S9T
“LOT
“99T
“GOT
“>9T
“<9T
“29oT
“TIT
°O9T
°6ST
00% x ((dN93)901)130 = dN9HId3
(S39IUd 2261) - AXOUd 3WOINI 31avVSOdSIG (GA)
AGAAVS3 * VSNAGAZ = AGA3Z
S$39Iud LNAWUND - AXOUd JWOINT 31GVSOdSIG (AGAR)
ANVULI + ALJ - AVID3 - YSNAdG9T = YSNAGAZ
(VSN) S33Iud LN3YYNI - AXOUd JWOINI 31GvSOdSIG ( YSNAGAZ)
AlW343 - SAINSOW] - SAINSSX3 + VSNAOZ + YSNAII3 + AdIdVS3/AdI3 + VSNAIJ = VSNAdd93
ANSWLS3ANI AYOLN3ANI S3NIWUZLIG - (YSN) Add93 (YSNAIT3)
Ad4dIAVS3/d3 * d4I3 = VYSNAdJI3
(VSN) S331ud IN3YYND - INBWLS3ANI G3XI4 3LVAIYd ( YSNAddI3)
- 0b -
“SLT
“oLT
“2Tt
“2LT
“TLT
“OLT
AFLIVS3/AVILI = ALF
(VSN) CLVA) S3YNLIGN3dX]3 NO S3XVL (Aa13)
A94VS3/A93 = YSNADZ
S8/b *GSLVWILS3 4S = GON TS zeet OL TB 696T *39NVu
2ZT°T = MG S%9° = SHI NY3WN 60T u’a°S see" = esd (S262EZ2°) CS8226°T) (Z9£29°2) Crszy* 02) (22¢20°S) £B x 06z20f0" - 2B * 966080" - TB % 668Z0T° - ASHI * %86ZTO + S8EG6T° = sone
S3ILNG SWOLSND ( AOUd.L:3)
s8/% *GALVWIISS 2S = GON 1B £86T Ol TD 696T :39NVU SST" = MG £9T°O2 = SHI NYBHW 268°T = “a°a°S 626° = BSUD
(£02°TS) ($0029°s) . AJZa * oaLeLe: + £0996°2- = AOUdLa - AVaZ
S8/5 :G3aLVWILS3 06 = GON Td <86T OL 2B £261 2 39NVU £IS'2 = MG %86°Tb = SH1 NY3N 990° &o = "URS 696° = BSyd
(92T66°2) (202695° ) (T6TOZ°8) (6S8T2°5) 2D * 8915'S + 2b x os998° ~ Ib x /569°9T + 433/TI0dO * S9E°O x« 1Ob3 x 92Z82T°2 + (%T<S0°T) (8£209°2) (60£968° ) VSNAdGS3 * SAULT * TI6e92° - VSNAdGS] * AULT x £96226 ° + 6T89Z°S = AONVYLXA - ATLA - Ala
S8/% [GALVWILSa 24> = GON %D 286T gt TB TL6t = JONVa (T°2) Gos’ = ONY 0 = SH? NV3H OF = ‘ug 629° = 8SUD (dd x
(20900°T)
d0d3)/T2/( OOT/(F MTR = O ‘Oz- = COWNS * 2/((T-)dSON3 + dSoya + (T-)50743 + SE1NI) * ST6Ge° +
(£6226 °4) (2T68S°2) ; d0d3/001/413 * NN3 x SToZz00° + Tsto0o0" = (dd 3% dOd3)/ANVYL:
-bo-
“28T
*TST
“6LT
“OZT
"LLU
V34d3a * @VS33 = AgyS3a
AVI44VS3/AV943 = ATVI43
AQVS33 - AV3L3 = AvI43
ASALAVS3/d3 * 99413 + ALJ - ANVULA + VSNAS3 = 43093
- 2 -
“SST
“y8T
“OT
S2°O % MNGZ + (T-)MNZ = MNG
HLYOM LIN (MNJ) = °O6T
S2°O % VSNMNGJZ + (T-)VSNMNZ = WSNMNZ
(VSN) HLYOM LAN (YSNMN3) ‘68T
MNGJVS3 + VSNMNG3 = MNG3
S39TYd INIYND - HLYOM L3N NI JONVHD (MNG3) ‘SeT
ASAT AVS3/d3 ; % Sd4Ia + AVIDA - VSNAIIZ + VSNAdSI3 + 43099 + ANVUING - ANVULX3 + SAINSSWA - SAINSSX3 = YSNMNGZ
CVSN) SJ3IUd INFYYND - HLYOM 13N NI JONVHD (VSNMNG3) «6° Z9T
- gb -
86S°0 ZT9°0- [WS 82>°0 sTt’o £65°0 T2T°O- (>-) sZ9°0 260°0 S9T°O £20°0-— (<-) 623S°0 860°0 S2T°o 420° 0- (2-) 9Ss38°0 ozTt°O 992°0 b2T°O- (T-) 429°0 s9T°O OLT'T bez°O~- (0-)
AVLS-1 24130991 iViS-1 1T43039V1 ov
S8/> ‘?Q31VWI1S3 <> = GON +d 286T O1 TD 2Z6T *39NVU (T°S) T69° = OHN %22°T = SHT NV3N ZO’ = “Y°3S°S 296° = O8SUD
(989ST°2) (9Z£090° ) (T9260° ) £0 * TEZZb0° - 2b x <89T00" + Td * S60ITO" +
(LL9s8°¢) BWIL % 906TO" + (((CI)IST % CI)IdMd3)/CI)I3C *% CLIANSXde)901) * Z49099V1 +
CCCCIITI3S x% (I)IdMd3)/(1I)I39 x (1)ANSXd9 1907) x% T43099V1 +
(TTZ6T*2) (TZ85°2) (dd93)901 * 99T2S°T + T629°9- = (CI39 % ANSXd9)/A93W)901
(°S°N $) ANYWY3D WOUI SLYOdWI SGOO9 "W'N (ADEN) *<6T
089°0- sWNS >2S°0 902°0- (2-) 2939°0 092°0- (T-) Tes "0 oT2°0- (0-)
dvVis-1 1430991 ov1
S8/b *G3LVWILSS 6 = SON Dd eeer OL TO £Z6T *39NVY
(2°2) TOb° = OHY 666160" = SH1 NVAW ZOT” = ‘a°S ses° = osHyd (688ST*2) . (ST69<°T) (166202 ° ) . <b x 9G2T80" - 2b * £698S0° + TO x 942220" - (@b02>°<) aWIL x 6TSSTO" - COCC$-1)T33 % (6-1) IdMd3)/(4-1)I39 * (4-I)ANSXdd)901) * T4AZIOIOVI + (S2T90°T) | (602292 ° ) (d093)501 * <950T°T + Sb0b0°S- = (CIaD % ANSXdd)/AI39X )901 C°S°N $) “WN BJHL OL SLYOdX3 SGOOD NVIGYNVD (AZ9X) °Z6T Tzb°0- *WNS 0Z<°0- 6T0°0O- (z-) £90°T- 290°0- (2-) 26T’s- 62T°O- (T-) 66T*2- 022°0- (0-) dvis-1 143099V1 vi 28/S_ :Q31LVWILS3) =6>2 = SON +) O86T OL TO SZ6T *F9ONVE (YN) 9022° = OHY VN = SHIT NV3W 95950" = “Y°3°S HTSb6° = OSYD C20Z2°oT-) (bbS52°9-) (TTbZT* >) <b x SGST802° - 20 * 4SSOT° - TOR x 290° + (9T82°S8T-) €d93)9071 + CCCCIIYII % (€1)d3)/C1)1I0d0 901) * T43099V1 + T2e90°<- = (1033 901
(G@W) 3WNTOA - NOILdWNSNOD 110 (1093) “Té6T
ANNOIIV INSNUND °II’3
8635°0- WS O<s°s S80 °0- (o-) ozs°sS Z<T°0- (£-) OsS°S oST°O- (2-) o<s°sS £<2T°O- (T-) o<rs'sS g80°0- (0-)
iViS-1 143039v1 svi
s8/> 'G31VWIISS = =6Ss = GON od 2861 OL TD SZ6T ?39NVU
(z°T) Te2°- = 2OHN (T°T) 202° = OHY 402°Z = SHT NW3N 290°. = “was 62° = Bsud (S22°6) ITTSq * TIezoz2° - CCCCT-1)T99 % (T-I)IdMd3)/( T~1)9XdMOU ION) x T43029V1 + (TOb2Z°2) (2£Z2ee°S) (dG93)901 * $9062°2 + 9992G°9- = (SXdMOU/( 433 * ATOSWS - AZYX))901
(°S'N $) “9M FHL OL S1UOdX3 SGO09 G1YOM JO 1S3Y (AFYuXx)
oge'T “WS £20°0O OTO*O0- (b-) SST°2? <Tz°0 (z-) sto'2 So>°0 (2-) S0Z°2 682 °0 (T-) v8b°O £>T°O (0-)
dvis-1 1430391 svi
S@/> ?Q31VWILS3 TZ = GON Dd Z296T ote Td S96T = JONVY
(£°>) Gb" = OWN STI'T = SH] NVSW TOT’ = ‘u'a 599° bsud (SZ5T2°2) sb x ST09Z0° - (£TS6S") (922802°) 2b * GEZ8TO" + TO * S9B86TO" + (((IANOXdN/(1)IS3 * (I)AN9Xd3)901) x T43009V1 + (£059°9) (Z1025'S) (d0931901 x 6919S°T +# SSZ8T°S- = (ANSXdN/AgNx)901
(°S°N $) “WN FHL OL S1YOdX3. SAD09 *s‘n (A3NX)
TZe°T- *WnS 6T9'T 2e2T‘0- (OT-) 28°? OvT'O- (6-) 96° 2ST °0- (e-) TZ9°9 SST °O- (Z-) L02°S 6ST*0- (9-) SLb°s >ST°O- (g-) $69°< <£d5T°O- {[o-) To2°¢ 92T°0- {-) 0Ze°2 <0T °0- (2-) Gz9°2 420 °0- {T-) 095°2 00°0- {O-) ivis-1 143099v1 oVv1
S8/> :Q31LVWI1LS3 0b = GON Dd 286T OL Td SZ6T :39NVY
420°2 = MG 968°E- = SHT NV3N SIT’ = "u°3°S 228° = osyd
(SZE9E°H) SWIL * 6950TO° + CCCCIVIFF x (IVIdMd3)/C IIa % CIIANOXde)901) x Td3039V1 + (90°22)
(d@53)901 + S2TZZ°b- = CCI3P % ANOXde)/A3PX 1901
- Gb -
“96T
4aASW2 + YAS/AL3W = ASW3
SISV@ dO@ - SLYOdWI SG009 “W'N Tv1OL (ADWA) Au3W + AD3W + ASSN + AC3W + ANBW = AL3W
C°S°N $) SISVa@ 100 - S1YOdWI SGOOD °Ax'N W101 (ALIN)
S$8/b > Q31VWILS3 06 = SON + 2861 O1 £0 096T *39NVY
60T°2 = MQ T20° = SHT NV3N STO" = ‘Y'3°S 616° = 8SUd (2TT2s*y) (LZT29°62) (S92Z°4) CCT- JAFaX/CT- JAMSWISOT % 6EE22H° | ((A3Y4X)901)140 * T96HTe@” + 00b+S0°" = (CAM3W 901) 13d
CALLINIGI-ISwne) (° “S° "A $) GTHOM 40 1S3Y WON SLYOdNI SGO09 °»°N (AYAaW)
$8/> ?Q31VWI1LS3 06 = SON Dd 286T OL £B O96T *39NVU
T6éT°2 = MQ 220° = SH1 NVSW 20° = was 992° = osyd (62089 °2) (2ST>°9T) (80059°9) CCT- JASNX/CT- JANSW)SOT * T90ZZ9° - (CAINX)901)130 * G6TOZ” + T8b6Z0° = CCANSW 907) 1340
CALTINIGI-ISvn®) (°S°N $) °S°N WOYA SLYOMNI SOON *y>°N CANAW)
8/5 *d31LVWI1S3 06 = SON Dd 286T OL 2D O96T > 39NVU
$00°2 = MG 900° = SHIT NV3N 8T° = “Y°S°S 225° = BSYD (2926 °8) (6<80°s) CCT-AarX/(T- JAP3WI901 % 688TSZ° - CCA3FX)901)1490 x 8°O + H8O0S90°- = CCAP SW 901) 130
CALTINIGI-ISvNS) (°S°N $) NVdVfF WOU SLYOdNI SGO09 °y'N (ACH)
58/» *G31VWILS4 06 = SON Dd 286T OL £D 096T :39NVU
626°T = Md 200° = SH1 NV3W 666690° = "Y°3°S TSZ° = BSUuD (69Tb6°2) (80TT*9T) (6SZ6T°2) (CC T- AZIX/CT- )AD3SW)I9OT * 99ZES8° - (CA33X%)901)190 * S2z208° + G6SSTI° = CCA33W 9079730
CALTINIGI-ISvnd) (°S°N $) VOYNVD WON SLYOdWI SG009 °»+°N (AIAN)
28/S *Q31VWI1S3 c= = GON + 98 et Ol TOD £Z6T :39NVU (VN) £SZ2° = OHY WN = SHIT NV3N 605° = ‘U’
a°S 69226" = osud (sT2sb"s) (T>080°T) (Z082Z2°T-) <0 * 922009" + 20 * 259802" + TO * $£EGTS° - (29682 °<) (8656 °S) (66082 °T-) (T-)433/0T-)1I0dO * 8OZEb° + 434/TIOdO * £9599" + 906se8s°- = BSAVO/109N3/0S2 x ATOSW3
CALIINIGI-ISvND) ANIVA - SLYOdWI TIO (ATO9N3) YFIOSNS + 10D3 - OSAVG/(10S3)130 + 109X3 + 1093 = 109N3
(GN) ANNIOA - S1YOdWI 110 (109W3)
- 9b -
“502
“£02
“202
*T02
“002
“66T
“S6T
“L6T
ANSWd3/ASNA = SWI
SadIdd 226T - S1YOdWI Sa009 “y'N WLOL (9W3 *S02
- lb -
2ua9X3 + ((AIXI/ATONXA - 1 )*xANOXdT * (ASX37A109X23 )%**221I0d0)/A9X2 = 9X3
S3ITUd 2Z6T ~- SLYOdX3 SGOOD *¥'N W.1OL (9X3) “TIZ
SZ/T_ ?G3LVWILS3 8S = GON bd G/6T Q1. £0 T96T *39NVY bz°2 = MG WN = SHIT NVSN TIO" = ‘Y°3°S 62T° = BSUD (o°T) ce" ( (€(€T- )133/11843)901)130 * 869950" + £d * 625200" - 2d * 692200" -
(¢ ) TO * "80200" + TZezo00°- = COCPOVASXA - AIOSX3) + 433/AL3X)907)730 - ((A9X3)901)14G
‘ CALIINIGI-ISvne) SIsva dO@ - S1LYOdX3 SGOOD “y'N WWLOL (ASXA) ‘“OTZ
AM3X + ALAXA = ALIX
(°S°N $) SISVG LOG - SLYOdX3 SGCOD “W'N W40OL (ALSX) °602
ASaX + AFAX + ADIX + ANAX = ALIXF
(°S°N $) SATYINNOD WIN Y3HLO OL SLYOdX3 SGOGD *“y'N (ALIX3) *80Z
82/1 *GaLVWILS3 62 = GON TO O86T OL TD £Z46T = 39NVU (VN) ST2°- = OHY VN = SHIT NV3N 6102" = “Y°5'S 266° = SUD (Z9T) AQ3X * L2E<s0°T = AJSW
(°S°N $) ANWWYI9 OL SLYOdXT SGOOD “w°N (ADIX) °20Z
28/G «=:G31VWILS3 2& = GON od OS6T OL TD £Z6T 2 39NVU
£8°T = MG WN = SH7 NVSWN 92Tb° = “U'S°S $6686" = SUD (ZZSZS9°-) (¥ES298°2) (T%0Z8° ) £0 * 6966IT" - 2D * £06285" + TD * +¥TST’ + (o29lb°s) (66£2°2) (£2Z68°2) (T-)8335/(T-)1f0d0 * gooses’ + 433/1I0d0 * Z280ZZ° + £0T9E9° = BSAVG/109X3/0S2 * AI09X3
CALTINSOI- ISVND) ANIA - SLYOdX]3 TIO (A1O9X3) *902
$aoo05S 40 S1LY¥Odx3 a II‘ 3
AGNASW3 + AGASW] = AASW3
SLIN3WAVd 3WOINT INSWLS3ANI (AASHA) “9T2
g8/ *G3LVWILS3 26 = GON Ib £86T OL ID 096T > JONVI (9°) T9s° = OHY 92°~ = SHI NV3W ToT" = "Y'a°S 96° = BSUD)
: (809°25) (4b29°8h) (AdN93)901 * 4OST6°T + ZS60T°9- = CANVYLhI2 907
WLOL - SINIWAVd UA4SNVUL ( ANVULW) “sT2
602°0 9ST°T *WNS 600°2 020°0 YN YN (Z-) 600°2 6£0°0 YN YN (9-) 600°2 6S0°0 VN YN (s-) 600°2 620°0 YN YN (o-} 600°2 860°0 S0Z*b 9TT°O (£-) 600°2 SIt‘o G0Z°b T£2°0 (2-) 600°2 8zT°O SO0Z*d 2oz°O (T-) 600°2 8ST°O S0Z°s 296°0 (0-)
4VIS-1 243099V1 4AVLS-1 143099¥7 ov
S8/> ‘G3AIVWIIST 69 = GON »d 286T OL TH 896T *JONVY
(£°f) 625° = OHY 29T° = SHI NY&W 620° = ‘y°a°S 292° = BSUD (99822°T) COOT/(I)143) * 243099V1 + COOT/( I)s¥a) * T43039V7 + 8Z2Tb0"- = d143/AGNASW3
S.LN3WAVd AWOINT INSHLS3ANI 1978 NON (AGNASH3) *oT2
S8/> >Q3LVWILS3 09 = GON___ID £86T OL TB Sgt *JONVY
(1°82) 686° = OHY SSe°2- = SHI NVBN f£f2° = ‘ya's = wsyd ; (89250°T) . (NNII901 % 28699s°- = . (CdN9d3 % 10.1783 )/AGASN3)901
865°0 7 NS <£9=°0 >ST°O (T-) >08°0 $b=°0 (0-)
ivis-1 1430397 ov e
S8/> ‘?Q3LYWILS3 99 = GON’ +B 286T OL 26 996T *JONVY (T°T) 96T° = OnU Sez's = SHT NV3N STT* = “yra's 29S" = wsyd COCCI M4Y43/( I M4d43)/0 1 d3)907) % T4AIOI9VI +
(ZT292°9) (992¢2°2) . (dN3S3)901 * Sb29T°T + 6868T°2- = ( (M4433/M4d43 )/AOSW3 901
- 6d -
S39TUd 2Z6T - SISVG@ VIN - SLYOdNI ( INSOWI)
AINNAVSI * SAINSOWA = AINSOWI
S331dd IN3IYYND - SISvd VIN - SLYOdNI (AINSOW])
SZ/T ?G31VWILS3 09 = GON 9 SZ6T OL TD T96T *39NVU (VN) 625° = OHY WN = SHIT NV3W 20° = “U°3'S 16666° = osu.
(5°SObT) (AOSW3 + ADWA) * 29000°T +
(8°) (T°T) (9°T) (z°2) <b * 228600" + 25 x £00Z00° + Id * TTZ600° + s19Z0°- = SAINSSW3
CALLINAGI-~IS¥ND) (VSN) S39IYd INIYYNND - SISvG VIN - SLUOdWI ( SAINSOWI)
ASW] + ASW = ASSN
SISva@ dO@ - SAIIANIS GNY SGOO9 4O SLYOdNI (ASSN) AASW3 + AOSW3 = ASWZ
W1LOL - SADIAN3S 40 SLYOdWI (ASHI)
- 0g -
“Tee
“022
“6T2
“STZ
“LT2
AGNASX4 + AQGASX3 = AASX3
SidI3I43N JWOINIT LN3WLSAANI ( AASX3)
S8/> ‘G3LVWILS3 OZ = GON 4 286T OL 2b 496t * JONVY
C£°9T) 216° = OHY 446°- = SH1 NV3W 940° 66° = osud . (<9e8<°0T) (o6e°TT) (L4AdN943)901 * ZST5O°T + HB2zb°l- = (AdNVULX3 1907
S1dI493u USISNVUL JLVAIYd ( AdNVULX3)
oee"o SWS 68's 420°0 (Z-) 68z°< 6%0°0 (9-) 68s" £Z0°0 (s-) 682°< 860°0 (>-) 68<°<s 2eTt’o (z-) 6sc"s 2oT°O (2-) 6ez°s TZT°O (T-) 682° s6T°O (0-) ivis-1 143099Vv1 ov S8/> ‘G31VWILS3 22 = GON 5d 286T OL TD 9Z6T *F9NVY €9°2) Zo" = OH TET” = SHIT NV3N STO" = “4'3°S 129° = oBSYuD (92828°2) (OOT/C I )M94SUIA) * TA3039V1 + 990290" = d343/AQNASX3
$1dI393uY SWOOINT LN3SWLSAANI 13I3NIG NON ( AGNASX3)
S8/> ‘G3LVWILSS 42 = GON 8 Z286T OL TD 9Z6T :?39NVU
(S°9) T@* = OHN 80E°2- = SHIT NVSN 82T° = ‘Y'a'S GEZz° = OSYD (66022°2) (96296 ° ) ; (M34NNIF)9O1 * 66940°T - 2zZT0Z°- = ((M943u393/94dN9d43 * 301783 )/AGASX3)901
S1dI393Y 3WOOINT LN3SWLSAANI 193NIG ( AGASXI)
£69°0 *NNS >5S9°0 26T°O (Tt) 6T9'T S65°0 (0-)
1Vis-1 143039v1 ov
S8/> :Q31VWILSA 99 = GON % Z86T OL £B 996T = 3ONVY SSZ2°T = MO 22S°T = SHI NV3N 60° = "Y'3"S STS° = SYD (CCI )dN9d3/C I )M4N93/( I M4d33)901) * T4I93099V1 +
(880T°9T) (68bb2°2) . (ML4IdN943)901 * 9Ebb9° + sez089°- = ( dN9d3/A0SX3 1901
SADIAYIS YIHLO JO SLYOdXZ ( AOSXI)
“922
“G22
“22
“£22
"222
SUJAISNVUL GNV S3DIAN3S JO SLYOdXx3 “O° II'S
- 1 -
ASNVULXS + AdNVULXS = ANVULXF
SidI3935u YAASNVUL W1LOL (ANVULX3)
AINXAVS3 * SINSOSXA = INSIXI
S$39Idd 2Z26T - SISVG VIN - SLYOdx]d ( INSSX3)
SXd3/AOSX3 + OXF = SINSIXF
(VSN) S39Iud 2261 - SISVG VIN - SLYOdxd ( SINSIXI)
AINX4VS43_ * SAINSSX3 = AINSSX4I
S33TYd INIXIND - SISVG VIN - SLY¥OdX3 (AINSSX3)
SZ/T ‘da 1LVWILS3 09 = GON 4D) SZ6T OL TD T96T *39NVU (VN) 299° = OHY WN = SHT NVSN £20" = ‘Y'3°S G6666° = 8SYD
(T°0%0T) (AOSX4 + ASX3) * £TOOO°T +
(2°) (2°2) (s") (1) <0 * S/5T00" - 20% @b8STO° - Ib x 9bb500° - ZeST00° = SAINSOX
(ALILN3GI-ISYND) (VSN) S3DIdd LNIXNND - SISVd VIN - SLYOdX3 ( SAINSOX])
ASX43 + ASX = ASIXF
SAIIAUAS GNVY SGO09 4O SLYOdX3 (AS9X3I) AASX4 + AOSXZ = ASX3
WLOL - SAIIAUSS 4O SLYOdXd (ASX3)
- 2 -
“£Ee
w+
“Tze
“Ose
"622
“See
“Lee
(T-)Tyveunooa + 6/ITvsund|a = Iwa8UNII3
‘LNNOIIV LNZNUND JAILVINNND ( 1vE4NIII)
aTVauNIa + ANVUIWS - AOSWI - AASW3 - ASW - ANVULX3 + AOSX3 + AASX] + ADXZS = TyveunIg
JINVIVE LNNOISDV LNSYYND ( TyEYuNII)
INSSW3 - INSOX3 = INXL3N3
S39Tdd 2261T-(SISVG VIN) S3DIAU3S GNV SG009 40 S1YOdX3 13N ( INXL3N3)
- £&G ~
.
ASSWA - ASOXA = 1vES93
S3IIAYAS GNY SGOOS NO JONV Iva ( 1vaS93)
ASW3 - ASX3 = 1V@53
S3IIAW3IS NO JINVIVE ( 1vaS])
ASWa - ASX3 = 1v809
S3INVIVE °3°
"622
“Sze
“Lee
“92
“GE2
“oE2
. 8Z/T :G31VWI1S3 IS = GON »%d GL6T Ol 20 £96T *39NVU (YN) ZT9° = OHY WN = SHT NVSW £00° = “Y°3a°S 226° = OBSUD
(£"2) (6°) (T°2) (T-)agd3a * S99TO0O" + aq@uz * <£25<00° + (($-)d3/006 * (d3 > %)130 ~- M1432) * Z2T000° - (<°T) ce°s) : (8°2) (S82 - G43) 3% 926200" - IbTZAGa * TOZ2Z20° + (T- )VSNMN3/( T- )VSNAdG93 * £26260" + - (9°) (T°T) ($°) (T° <b x 229000" + 2B * 905T00° + Td * 699200" - 600T00°- = (T- )VSNMN3/d013
SIN30GISSY AG G13H SLISOd3IG 3WIL (G13) “252
62=°0- 166°0 698°0 [WS 002°2 800°0- YN VN VN VN (1T-) 009°2 >T0°0- VN VN VN VN (OT-) 00o"s 8T0°0O- VN VN VN VN (6-) 000°sS T20°0- VN VN VN VN (3-) oot's 220°0- VN VN VN VN (Z-) 006°8 $20°0- VN VN VN YN (9-) 002°9 $20°0- VN VN VN VN (s-) 002°9 220°0- VN . VN VN VN (>-) oos*Z Tz0°0O- 006 °T gs<t°o VN VN (<-) 000°<T 2<£0°0- o02°< Z<2°0 00S ° OT S>T"O (2-) 00o°Z s+0°0O- 00°62 262°0 00S ° OT 062°0 (T-) 006°< 990°0- 00%°2 6T<°O 00S ° OT o2>°0 (0-)
AViS-1 £43039V1 AVLS-1 233039V1 divis-1 1413039V1 o3v1
8Z/T_ ?d3LVWILS3 29 = GON 48 GZ6T OL TB £96T *39NVU 9Z°T = MG WN = SHT NVAW STO" = “Y°S°S 966° = ObSxYD CCCIIVISH3ISO1) % £45099V1 + (€CI)d09d3)901) * 2430391 + (CCI )dd95d3/( I VSNAdd93)901) * T43099V1 +
(9°T) ( 2) <b x £y90T0" - 20 x G2TS20° - TS x 950STO° - Z9FEG9°- = (aqg3)S071
SIN3J0GIS3Y AG G13H SLISOd3G GNVW3AG (G03) “Tz
8Z/T ?d31VWILS3 Ts = GON 58 SZ6T O4. 20 £96T > 3FONVY (VN) 822° = OHY WN = SH1 NV3N 9TO° = “Y°S"S 266° = OBSYD
(s ) (2) (CT-)JYNDIISON * S9T9ZG° + (d3)SO1 * b8TT2s" + (d3/VSNAII)9O1 * TSSO0Z2° +
(<£°2) (6°T) (9°2) €(0u83 190713130 * 222690" - (d983/0u89}501 * 899620" - IbTZAG3 * SE9TZO° + (2°2) (<°) (>°T) (Z°T) <d * IZ6ZTO° - 20 * 669200" - Td x T8T9IO" + SSTZTb°- = (49N33 15907
SLIN30GIS39 A@ G13H AINAYYND (YNDI) = ° O02
LIWIVW IIINVNIS ITLS3aWOd “III’3
YagWa + S$2°O * AZWA + (T-)JEWA = £W3
<W - AlddNS AANOW (2W3)
SANNNGA + WONGT + °> *% CYNIIITIG = AIWF
£W - AlddNS A3NOW NI 3ONVHD (AEN)
OO * (( TW3)907)130 = TWHId3
3LVY IWANNV - TW NI JONVHD 39VINAIUad ( TWHd3 ) o9uiaad - unda + Gd; = ThiZ
IW - AlddNS AJNOW (TW3I)
JANNGZ - (CO9ULa) 13a - €@903)730 + €3003)130 + (013)130 + (003)130) * »
SYNVE “HTN LV SLISOdSG W1LOL NI JONVHD anna: €asogo3a - waa - T) « (99039 + 41d3 + GLa + aaa) = d3dl.4
SONVE TIWIDYSNNOD 40 SONNA JTIGYNVOT W1LOL (d3d1:!)
tst°o SWS
002° >T0°0O (<--) 00<°9 620°0 (2-) O02 ° $2 s50°0 (Tt) 00<°s - £90°O (0--)
AViS-1 143039V1 sv
8Z/T ‘*aQ31VWILS3 23 = GON 4} SGZ6T OL TO £96T ?FONVY (VN) 69° = OHY VN = SHIT NVSN £000" = "Y°3S°S 96° = OSHD
( CT-I)VSNMNA/CIISAINSSNI) * T43099V1 +
(>) ; (9°Z) (8 (2-)Waud3a * 220000" + ( T- )VSNMN3/90114 * 995529" - %9Z2000° = CT- )VSNMN3I/90013
SNVE °W'N LV SLISOd30 ONIVALS-NON IN3GIS3Y (900:1)
SZ/T *GaLVWILS4A 2S = GON Dd SZ6T OL re £96T >39NVU 2>°T = MG VN = SHT NV3N 400" = "N°A°S 96° = BSD
(6°T) C<°T)
(T-)TTE90 * HS5200" - T£99G * 496400" - (8°T) (8°2) (y) (s°T)
To2ZG x ZT2Z00° - IbTZAGA * 292600" + 2T>99AG4 * 960900°. - (T-)10113 3% 295900" - (>°T) (3°T) (6°)
(T-) 10113 * £SZ£00° + (1T-30d34S43/SAINSOXA * bEZT60" + CT-)0d34S43/SAINSOWA * T9Z9T" +
(2) ($°) (9°) (z°s) Wuddd * Z90T00° + Visda * GZ8T0O0" - 1d43 * SBTSOO" - 909990" = (T- )0d94S43/4113
SNVG “WN IY SLISOd3G ONITHALS SVASH3AO (4103)
- G-
°0S2
“ove
“Sbe
“Loe
“9b2
“Gb2
“Sb2
- 99 -
*ootT/asod + (T-)aS99a = asgIz43
SYNVE NO T1V9 4O 31V¥ WWI33dS (0S993)
3003 - <£W3a = S&Wi
£W ONITYALS - AlddNS ASNOW (SZW3)
“ege
“Ts2
(Z° (043)140 * 662292°
19)
+
8Z/T 2 aguas} 2S = SON + SZ6T Q1. TD £96T ?39NVY md
Sz°2 = = SHIT NV3H 260° = “Y°3d°S 666° = BSD (2°T22) (8°S) M1ua * 89020°T + Ts0Ts2°- = Ta
3LVY TOSNOD %2/T-2 (184) = *9S2
S8Z/T ?daLVWILS3S OG = GON Dd GZ6T OL £D £96T 2 JONVE
£6°T = MQ WN = SHIT NVSW £05" = ‘Y°S°S ZSZ° = BSUD (T°2) (2) CCTt- 3013)730 * B2beLe2" + (G13)140 x 990882" - (2°) (g°2) (T"). (V1Su3)140 x T8Zssh" + (G3u)130 * SZe6eT° + s<Z0TO"- = (aq@u3)130
SLNNOIIV Lisod3a NYE ONIYV31D NOGNOT NO dalva (dua) °SSz2
222°0- 7 WS 00 "2 250° 0- (<-) 00S *< 490°0- (2-) 000° $90°0- (Tt-) 000°T 250° 0- (0o-)
ivlS-1L Tid3039V1 svl
8Z/T *d31VWI1S3 ts = GON a¢ert oe 2b £96T = JONVY 26S5°T = MG VN = SHIT NVSW 952° = 986° esyd
(2°) (T-)ddGLF * 629260" + (CT-I)VISUA) % T43099V1 + 2°) (TS) (9°ZT) (2°2)
( Satya * 802622" - Gau * 96TTZ2T" + Sua * 826S2°T + 622925" = vista
HLINOW < - JLVY NVOT AUVEOdWIL SAILIYOHINY 1V301 CvIsua “S52
8Z/T_ ?G3LVWILS3 09 = GON SZ6T OL TD T96T *39NVU 2>°T = MG WN = SHT NVSW SST" = “U°S°S 966° = OSUD (8°2) (T°S) (6°29) (2°38) (2-JW3aud3 * Z82b00° + qg3u x 66890° + Gua * 996TS6° + GET96S°- = saa
BLVY T1Id AUNSVSUL AVG T6 (SUH) “£52
Salva LS3Y3INI GNVY YOLDSS SNIWNVE ALVAIYd ‘d° III'S
-1g-
8Z4/T ‘Q3LVWILSS TS = GON 8 GZ6T OL 2D £96T = 39NVU Zz°T = MQ WN = SHTNVSWH £62°2 = “YAS 126° = OSUD
(s° “2) (2) (T- du: * ¥S299°S - I2zZAda * 2b0T°SZ - (T-)0u3 x% (T-)IbTZAGS * 9ZG0E°2 +
(2) ( ) (T-)awaz * (CT-)JISTZAGR - T) * 209T6"9 + CT- M144 * (T-JISTZAGS * 2962" -
(2°6) (s°T) (z°b) (o°2) (T-)M1H3 * BETS6°> + aqua * 50Z22S6" + ISTLAGS * 6H8T°ST + It2°ttt = 2H1u4
aLVY ASVILYOW SAIL3ZIIOS ONIGTING (ZH144)
629°0O WS 682°0 800°0 (TTt-) £99°0 9T0°0 (OT-) Lett 4z0°0 (6-) 999°T © £20°O (8-) 692°2 T+0°0 (Z-) 928°2 650°0 (9-) 622° 2s0°0 (g-) 09S °< 990°0 (b-) 289°< >20°0O (<-) 269°S 2380°0 (2-) To9"< 060°0 (Tt-) T9S°< 660°0 (0-)
iViS-1 1343039V1 ov
S8/> :Q3LVWILS3 ZL = SON 2B £86T OL TH 496T = 39NVU (2°81) 216° = OHY TZL2°OT = SHIT NV3W 602° = “Y°S°S £6° = BSD
(zb80Z°T) €CL)VISH3) x* T4AIOIOVI + 92590°b = M1u3
31LVa NVOT MVM Z2/T-< (M183)
“LS2
G2°O * AdS93 + (T-)dSONZ = dS
YOL9aS JITAd AHL OL ONIONS YNV@-NON JO NIOLS (dSIWA) “£92
G2°O « 9813 + (T-)9ETNa = SETA
YOLISS JIIGNd 3SHL OL ONIGNST WNVE JO WIOLS (IAT) °292
Aoag3 - &193 = AdS34
YOL93S DIWNd 3HL OL SNIGNAT WNVG-NON NI JONVHD (AdS99) = ° 192
4343093 + *} x (YNdIa)130 - AOGIZ - AdS93 - 43093 = 9813
(SLTI9) SONO@ ANAWNYAAOS 40 SAIS Wi0L (8193) °092
7a WWILS3 25 = GON % SZ6T OL, TD £96T *JONVU eo°e? = “nd WN = SHT NVSW 892° = “US 259° = wBSUD
(s°T) (2) TbL290 * 22295" = (Qd94S43 * WUdj3)130 x ZTIOO" +
(T°2) TS) (8°2) ((2-)0dd)130 * T292¢2°T + $23943 * 991568" - (d0d94S43 % MTU3)190 * 462200" + (T°d) - (9°9) (>°) : (( T-)dd34S43 * (T-)@3WN)T3S0 * 26600" -~ O1GS * £42065" + £9>5220°- = 4o@a3 + Aod93
SUSNSIRNOS AG 19430 YOLIAS IIIANd 4O NOTLISINOV 43N CAO0S3} °692
id3q YyOLISS IIINd *I°III’S
- 65 -
S8/> *da1VWILS4 249 = GON 8 286T OL 2B 996T = 39NVU Ts0°2 = MQ ZTO° = SHIT NV3N 950° = “Y°3°S <bT° = OSD
(8929°T) (CC CT- )OMXAd43 907 - (CT-)SWd3)501) % 695T8O" -
(299bT°S) (SLH8H=° ) ( CGMXAd43 )9017)130 * 282259° + T20<00" = (CSWd3)901)130
S39DIAUIS JO SLUOdNI YO4 YOLVI430 (SWd3) “892
S8/5 ‘Q31VWI1S3 0S = GON 8 286T OL 2D OZ6T *J9NVU
(G°22) +o6° = ONY Z2T° = SHIT NVSW 220° = “Y°3°S £26° = OSD (969629° ) (£095°T) (£TO098Z° ) (S965T*T) "2D x ST9ZOO" + 2b x Sz1600° + TB * TOZb00° + (T-)JNNZ x GS9800°" - (ZTS990°%) (YSTOT'2)— CC T- ML4X%d4d3/0T- 133 * (T-)WOGd3)901 * Lezeze° - (WOGd3)901 + 9SO0ZT° = (ANSxXd3 907
XZONI 3NTWA LINN LYOdX3 (ANSXd3) = ° 292
$8/> ‘Q31VWIIS3 92 = GON Dd 286T O1 TD 496T *39NVU
289°T = MG 520° = SHIT NV3SW 210° = “Y°3°S 2bb°> = OSD (oTbZ2°5) (CC T-)M3)901 - €(T-)Id3dd3)901) * Z£z08S0° - (2T29"T) CLE>>T* 2) (8b2G2°S) (CINSSNd3 )901)130 * £66880" + ((M3)901)130 * <0Gz92" + Ss99%TO" = ( (-Id3d3 )901)130
X3QNI 391d YSWNSNOD (Id3d3) 992 (( WOGd3 )901)130 = (( IdMd3)901)130
ANdLNO ONIUNLIVINNWN - X3GNI 391d 3J1IVS31OHM (IdMd3) “S92
S8/>b ‘Q31VWILS3 62 = GON TB £86T OL 2D SZ6T *39NVY
(<°2T) 598° = OHY 19° = SHIT NV3N STO" = “Y°3°S 866° = DSUD (£22602 ° ) (<8Ze2T* ) (2Z22ST° ) <b * ££>T00" + 2b * 9TZ000° + Tb * <0Z000° + (8z0S6T*) (2T29Sz° ) (999922 ° ) NN3Z x SOZTOO”" - ((£-)133/(£-)1I0d0)501 * 4T9900" + (( 2- )133/(2-)110d0)901 * 892900° + (29229° } (89b8T9° ) (S222T*2) (C1T- )133/CT- )1I0d0)901 % T9Z2TO" + (I33/110d0)9071 * STTTTO” + (C2-)M3)9OT * Toz6z° + (oz0<Z°T) (22220°T) (5£099°8) ((T-)M3)901 * 2eb292° + (M3)901 * 2Z<£T6éST° + y9LGG°s- = ( TIONWd3 1901 * S2°0 - (d3)501
YOLV1430 NOIIdwOSsY (d3) “92
$33Idd “VAIS
AlddNS GNVY S39Iud “AI‘3
- 09 -
(WOGHVHS3/( ( INSSWd3 901 x (WOGYVHSS - T) - (d3)901))dxX2 = WOGd:!
(SLUOdWI LNOHLIM) NOIiduOSEVY JILSAWOG YOs YOLVISAG (WOdd3! “922
(€133/2Z21I0d0)S01 * 46T206°0/(56T206°0 - T) - $61206°0/C INSDSWd3)9071)dx3 = TIONNd:!
AYOdWI TIO-NON - YOLV1430 LYOdWI ( TIONNd3) 8 °SL2
INSOWA/AINSSWA = INSOWd:I
SISV@ VIN - MOLVIS3SG LYOdWI CINSSWdS! °522
@NS3/7AdN93 = dNOd:t
YOLV1S30 dN (dNOd3d) “£22 d093/AdG0934 = ddSd:i
imnaodd IILS3SWO0 SSOUS NOs YOLVIAAG (dd9d3) “~222
*GS1VWILS3 6< = GON + 286T OL 20 £Z6T > 39NVa
S8/b 606°T = MG 220° = SHIT NVBN 220° = “w°3a°S G2Z° = BSD (62926 °S) (LOZbZ°2) TTbZ0 * 99%bG2Z° ~- (CC T- JOMNAXdI3)901 - ((T-)I33 * (T-JANDNdSISO1) * Gb606T" - (26%b8° 6) (oeoes°2) CC OMWNAXdI3)901)140 * B2922°T + bL0zZz0°- = (CIaa % ANMOWd3)907)73)
XAQNI ANIWA LINN LYOdWI (CANSWd3) = *TL2
S8/> ‘:Q31VWI1S3 68 = GON 20D S86T OL 2B T96T *3Z9NVU
62>6°2 = MQ GZ0° = SHI NVaH 620° = “Y°a"S 995° = OBSYD (92S °T) 0286 °Z) C(CCT- )d09d3)9071 - (CT-)¥34d3)901) * 405050" - (CAdG93/A9VS33 - AV3L3)901)130 * 15660" tT + (<eS2<2°T) (£29460° ) . ((€d05d3)901)130 * TZ292e°- 0SZ000°- = (€(€¥34d3)901)1301
4O01V1330 INAWLSNrGVY 1SOD YOLIVS (VI4d5d) °022
S8/> *GS1VWILS3 92 = GON %D 286T OL TO 596T = 39ONVU
60°22 = MG 120° = SHT NVBWH 220° = "Y'3°S 66T° = BSUD (Tees °2) _ COCT=3M3)501 - (CT-)SXd3)901) x* O8B80%0" - C(ZeTEe°2) (9SZ26°T) (29662 °2) (€€133)901)130 * 29ST6T° - €€M3)901)130 * Ts9sss° + S9ZZZT°- = ((SXd3901)139
S3IIAWIS JO.SLYOdKF YOI HOLVISAA (SXdd) 692
- 19 -
00% * ((d3)901)130 = dH3d3
3LVa TVANNY - 13A37 391ud NI JONVHD 39VIN39U3d (dHId3) °622
CxeZ8°O ? TT OL O =F ) WNS/((5 - WIdN9d3/005 - WIdNOdF - ( WIdNOdF) % O- )ee2Z8°O * 0 STI- = WINNS *% OOT = dX3d3
3OVU3AV SNIAOW - SNOILVL949dX3 AUVNOILVIANI (dX3d3) “822
a (z-)da * (T + OOT/dX3d3) = Td]
- NOLLVINI @3134dX3 GV3HV-YALYYNB-ANO YO4 AXOUd (Td3) “LL2
- 29 -
592°0 * WINS. $80°< <£350°0 (<-) ¥e0"s 620°0 (2-) ¥80°< 620°0 (T-) 580° £50°0 (0-)
divis-1 143039V1 9v1
S$8/> :G31VWIISS Sb = GON 2d reeT Ol 20 2Z6T aol
Tz8°T = MG %TO°OT = SHT NV3W 900° “WaS 296° = (68eIT°Z) C€CT-)313)901 * G29569° + ( >oSTZ6° ) (ZT9Z9°T)
€CC1)373 x% CI)SYNOHT3)901) x T43099V1 + 3WIL x 660000° - Tsos0s°- = (€373)901
ANSWAOTIdGWNS (373) “£82
(20%bb2° ) (L2ST29° ) (2o9TT*T) (Zaz2b°2)
(2B * 662500" + 20 * 525800" + TO * 956800" + SzT09°2 - (62505°2) CT6sts") AWIL * S2<<00° + (Cdwa * 2°86)901 - (T86b6°0 * OOOT/S9E * 1093)901) * 699T5O° + (¥S225°2) (CdWa % 2°86)901 - (1T86056°0 * OOOT/S9= x 1034 ~ INSSW3)901) * 2Z5IST° + C2TZ9=Z°o) ; CCdwa % 2°96)901 - (922°TOT * 413)901) * 9TH60Z° + (dd * 2°96 1907)4x3 + INSSW3 - = LOddN93
(NOLLYNDI SYNOHTA NI G3LVINIIWI SIN3IIIS4909) dNO WWIINILOd ( 10ddN93) “282
S8/> ?G31VWILS3 22 = GON 6D OS6T OL TB £Z6T 2 39NVU
S@°T = MQ 269°- = SHT NVW 10° = ‘Y°a'S £25" = OSU (Z0%by2°) (229129°) (299IT°T) <b * 662600" + 2b x 55b800° + Td x 956800° + (926062) (16%TS") aWIL * 822500" + (( dd * NII)IIOI - (186066'0 * OOOT/S9E * 1099)901) * 699160" + (95225°2) ((d¥4a % 99)901 - (1860460 x 000T/S9E x 1093 - INSOWR)901) x 2Zs1ST° + (Z1Z9E°5) ( (da % M93)901 - (SYNOHTA * 379)901) * THEOL" + (2£9226°2) @2T09°Z- = (da * N99)901 - CINSONA + dN9F)907 CATII3M) SYNOH UNOAV] (SUNOHTE) “Tez S8/> :Q31VWIISA $6 = GON 2B S861 O1 Bb 6561 SONU (>°62) 626° = OHY GOT°2 = SHIT NV3N IST°2 = ‘U'a°S Zz@° = 8SUD (S5605°T) NNI * L6Sb25°- = dX3d39 - (5-)M3/00T x ((>-)Ma - Ma)
IN3WAOTdWA GNY S39VM °a° AI‘]
- £9 -
005 x ((M3)901)130 = MH3d3
3LVa TVWANNY -- S39VM NI JONVHD 39VINIDN3d (MHId3d)
413704313 - 413) * OOT = NN3
3LVa IN3SWAOTdWASNN (NN)
862°0 WAS 226°E 090°0- (Z-) 809°< 680 °0- (9-) >80°s $30°0- (s-) 280°2 4S90°0- (o-) <02°0 g00°0 (e-) S9L°D 260°0 (2-) 516°9 612°0O (Tt-) 918°9 2Z=°0 (0-)
iVis-1 143099V1 VT
S8/> ‘*G31VWIIS3 <2 = GON 2d s86T OL TD G96T *39NVU (9°29) GSG6° = OHY 699°- = SHIT NVSW 400° = "Y'3°S G6° = OBSYD (£8S298°2) (92928°S) SWIL 3 94ST00° + (CC I3dO0d3/01)313)901) * T43099V1 + <£S029°- = (d0d3/413)901
3340s YORV] (513)
- 69 -
“982
"G82
(YAVI303 + OOT/dXx3d3 - (OOOT/ZHTHS) * EAULA - T)) % CYLNVYSS - T) = ONE
ANAWLSAANI IWILNSGISSY YO4 WLIdVD 30 LSOD MASA CHINA) °b62
. CUN34I1WS % COOT/THA) *% CDANLA - T))/CCYN3SST US x (OOT/TU3) * CIAULT - 1))/C CCUNSATVA % COOT/THR) % CDAULA - 1))-ddx9 - T) - T) % 2 = aaq9a3
INSHLSIANI IWILN3GIS3Y NON JO NOILVID3Ndad DJIWONOIT (d30999) *£62
(JANLS - T)/CYNAVD303 + OOT/dX3d3 - (OOT/ TH3) * CIANLA - T)) % CUNINVYSS - d3d933 x JAULA - T) = YNIN:!
ww a we ew wr a ne a a ee ee ee ae an ae ee ee eee
ANSWLSIANI WIIN3GIS3U-NON 404 WiIdv) 40 1S09 YASN CYNINA) = * 262
s2°O x IIZ + (T-)ITIWA = ITH
ANSWLSSJANI AYOLNSANI JO NIOLS CITWA! “62
dH3 + UNdNS = dE
WIOLS WILIdVD JLVAIYd SSOUD (dd) *06z
S°Ox* (5/YAVIIGS - T) * b/dHIS + (6/8AVIDS0S - T) * CT-JdHS = dH
SNISNOH - WOOLS WLIdVD JLVAIYd SSOUS (dHN3) °692
S°Oxx(4/ YNAVISGA - T) * 6/YNdAIZ + (5/YNAVIAGS - T) % CT-JUNdNS = YUNA
WILNAGISSY-NON - WIOLS WLIdVD 3LVAIYd SSOUS (YNdWa) °SBZ
wanda + ( (. 10ddN93/dN93 1907130 = ((€NII)I9O1) 1390
aLlVa NOILYZITILN ALIDVdVD (NDA) °282
SHWIOLS WiLIdVD W3Y GNV ALIDVdVD °D°AI’S
- G9 -
WOONS + 901703 + 101703 + Ivwaunsas = Ivads
JINVIVE JISVA (1vad3) “Tos
GNSd3/101103 * S2°O + (T-)1G1783 = WaL743 “00%
S3ILIVIGVIT 1543uIG JO WIOLS W3Yy (101743)
(93dN9d33/495N39) * 3JGLIGZ x SZ2°O - (T-)90L7NR = 3aL7N3a
SWIVTD 193uIG JO WOOLS W]e (DGL1WF) *662
s2°O * 101703 + (T-)10L73 = 10113
“862
SYANST3IYOJ OL SAITLIVIGVIT INSWLS3ANI 193NIG JO WOOLS (10173)
s2°oO x 301703 - (1T-)301739 = 30173
“L62
SU3NSISNOs NO SWIV1D INAWLSIANI 193410 40 YOOLS (30173)
Q31VWILS3 2S = GON SZ6T OL TD £96T *39NVU Mad VN = SH1 NV3N 58T° ‘wars 229° = oBSUD
SL/T
92°2 = (2°)
Svagiiag3 - (€(1T-)M143)1490 x bySO5T* T’2) (g°2) (2°9) (M143 )140 x* 299TST° (q3u)130 * T2690" - VSNAddIa * 658290° (9°) (2°T) ; (>°) (3°) <b * 925240" 2b x 6959960" + TO * 669TSO" - G2990°- = 1a11043
SYANSTINOS OL SATLIVIGVIT IN3SWLSZANI 193410 NI 3ONVHD (1011043)
+
+
°962
(2 £5690 * 2T8T22° +
8Z/T_ ?da1LVWILS3 09 = GON +d GZ6T OL TO T96T *39NVU = MG VN = SHIT NV3WN 522° = “4°3S°S GZ6° = bSUD
69°T 2°o)
o°) (o°T) (2° OSTO9G * 892E9°T - GdyNd43 * ITsZd x T8922
( IlzZd * 628G5°2 + (6°) ANI]a3 * (S301703 - 901704)
(8°?) Qdydj3 * AWIL x T8zz00" - eG2bZZ° =
Gdyd43 * OSTO9G * 9<TTZT° + SYSNITINOS NO SWIV1D INAWLSSANI 193NIG NI JONVHD (3017103) “S6z
’
LSWUVW TVIDNYNIS TWNOILVNUSINI “A'S
- 9 -
$2°O * 141103 + (T-)1d173 = 14173
SUINDIZNOS OL SIILIVIGVIT O11041LNOd ALVAIYd JO NIOLS (141713)
$2°O * 3dL103 - (T-)IdLT3 = IdLTI
SUINIIZNOS NO SWIVID OIIOSLUNOd JALVAIUd 40 WIOLS (3d173)
dV43NG3 - Iwada = 40983
ONIDNVNIS WIIISS0 JO JINVIVE (40083)
AWINUGSS + VON + 3017103 + 101103 + TvaYNDa + SVINGA - = dVjING3
CALILNAGI dO@) MOTSLNO WLIdVD *AIud LIN (dV4NG3)
SZ/T -d3LVWILS3 2S = SON BD GZ6T OL TD £96T = FONVU 9@°T = MG WN = SHT NVSN T40° = “Y°a'°S 39° = OSD
(9°) (0d94S43 * 1443)130 * 859200" -—
(9°2) (g°2) (e°2o) djIa * Z¥00T° + G33S034 * G86220° + (Gd94S43 * (1T-)4393/((T-)833 - Y33)I130 * 22THTO” +
( ) (dd33S43 % G34)190 * 620TOO" + seesss"- => 141103
SU3NSIINOS OL SIILITIGVIT O1103LYOd WSL SNOT NI 39SNVHD (1d1103)
400°0 0bS°0 WHS: 00z°<s VN ~ VN YN (s-) 002 °T 000°0 YN VN (>-) 000°2 t00°O o0z*s <80°0 (z-) 009°2 ToOo°O. 002°< Z<t°O (2-) 002° 100°0 00%" 29t'o (Tt-) o000°s 100°0 oot’s 4st°O (o--)
ivis-1 2433039V1 89=1ViS-1 143095V1 ov"
SZ/T ‘*d31VWI1S3 25 = GON 4D GZ6T OL TD 296T *FONVU (VN) GgZ° = OHY WN = SHIT NV3N ssT° = ‘Y'3°S 209° = BSD CCCI OVSNMNS % (€C1)7843 - CI)IM1H39))1390) % 24509971 + (>°2) (CC T-1I)A9%3 91430) % TSIFOIOVI + (CZ- )VSNMNZ x (z-)Wads3 * 13130 * TStTOOO" -
. . .
(6°T) , (6 I>TZAG3 * TOSS%2° - (2-)VSNMNOGZ x 25S0TO' - s868Z0°- = ddlT03
SYANSTINOS NO SWIV1D O11031N0d WH31 SNOT NI JONVHD (3d11031)
((1M3d033 - SY33) - dX3d3 - VISHS) * £0°O + (( T-)Td3/( T-)TM3d33)901 = (M3435 )901
"80
*L0E
°902
“G0
“bO0z
“£0
“20
SMO13 IW1IdV3 Y3HLO “d°A°F
-19-
VOLTS + Wild = d143
WILOL - SAILIVIGVIT O11OsLYOd NOTINOS (d143)
30113 + IdL13 = d3d44
W1LOL- SWIV1D OI11031LNOd NOTIIYOS (d9449)
S2°O * 101103 + (T-)10113 = 10113
SY¥INIIZVOS OL SAILTIIIGVIT Waal SNOT YSHLO 4O NSOLS (10113)
S2°O * 301103 - (T-)30L13 = 3OL13
SYINIIZNOS NO SWIV1D WY3L SNOT YSHLO 40 ADOLS (30113)
- 99 -
"ete
“Tle
“ots
"60
OOb x (T - 4339/8433) = Wad:13
SNITHILS NO WNIW3Yd GUVMNO4s YVIIOT (WYdd:) “LTS
T600S°2/83a3 = 153
XJGNI ALVA JINVHIXS LOdS (13:1) “9Ts
2S° Oxxedaa x T2°Oxe( M3F/N92) % ST O%( Y39/NI3) % GO Oxxe( 439/99) = MOANAS
(Q3LHSI3M dNS) ALVY JONVHIXS (M94N3H) “STE (29° O/T dex T° Oxx(YSC/ UII) % T2°Oxe( 439/99) * 60° OxK(NII/NTS) % £2°O*KUTS) = MAYS
(433 YO4 G3AI0S) SLHOI3M G3XI4 - 3LVY JONVHOX| (YUBA) “STS
eLeT ‘Ga WWTIS3 2G = GON % SZ6T OL TD £96T *J9NVU
“T= VN = SH? NV3WN £00° = “Y°S'S 666° = BSD (o°2) (o°e) va3adj3 * 699000° + OSTO9G x 822640" - (Z°T) (s°99T) (T-)4083 % 265000" - (°00b/( G38 ~ VISUA) - 153) * OSTO9G * ITZ<O°T + (TZ) (s°T) . (°006/(d3e - V1ISU3) - 133) * (OSTO9G - T) * Sb6Z6° + 2696TO° = 9T68h° 2/45:13
ALVY JONVHIXA GUVMYOs HINOW ASYHL (449) “STS
SdIHSNOILV13Y 3LVY FJONVHOX: °3°A‘3
- 69 -
>/IVANOS + (T-JOVING = SVAN
ANAWNY3ZA0S 3HL 40 SL3SSY NOIZNO4 L3N 4O NIOLS (OVANI) ‘“6TE
T8/T ‘G31VWIISS ST = GON 20 OS6T OL TD 9Z6T *39NVU
G6°T = Md WN = SH? NV3N 699°2 = "Y'3'S 999° = BSYD (tT) (2's) (1-)9VAN3 % 96295" - CC CPISVANGZ ? T- 68- = OWNS * GZT°O) * (12620 - LT) * 99ET°2 - (9) (433 - (()83d + 0 *E- = FINNS x GZ°O) x B0B'bL - (12) (2°T) (433 - COP)NRd + O *E- = PWNS * G2°O) x 12620 x Bs62°29 + BSb6S°T = SVANGA
AN3WNY3A09 3HL 4O SLISSY NOIZWO4 LIN NI JONVHD (9V4NGd) ‘STS
SLIN3NAVd JO 3INV1IVE ONY NOTINSAYN3LNI WI91440 *IA‘3
- 02 -
2° Omxe( T3C % ANOXdE) * SZEHET* Ox IZ * ANDXdD) * SEHETS*OMK( TID % ANXdD) * 8ZEbE*OXXANDXAN = ML4Xd:13
ANTWA LINN LYOdX3 39OVYSAV NOIZYOS (MLIXd4:1)
OWLM33%x*2271I0dO % UWLM3%xDXdMON % CHIMSI( TSC % ANOXdr) % OWIM3%*( T39 % ANOXdS) % IWIMSe( 13D % ANOXdI) 3% NWIMIxANSXdN = OMWAXd:IF
3IIUd LYOdX3 IOVUSAV NOIINOS ( GMWAXd4:1)
OOT * (T - (%-)TM4d4d3/TMISd4d3) = TM4d0:13
3LVa NOILVIANI 39VU3AV NOIZNOS G3L93dxX3 ( TM4dG4:1)
(S- )M4d33 * %>2522°0 + (5-)M4dda * 86E58T°O ~ (£-)M4d43 % 656220°O - (2-)Midd3 % 298865°0 - (T-)Mddd3 % ES6T9T'O — Mdddd * ZESGG°T + 6STTOO°O - = TMdd13
T3A37 3DTad JOVUZAV NOIZYOS G3L939dX3 ( TMjd4:3)
(29° O/T )xx( OT’ Oxeedr 3% T2°OxKdD % 60°O%dD * E2°ORKGN) = Mdd:13
SLHSI3M G3XI4 ~- YOLV14390 NOLLddosay 3OVUaAV NOIRNOS (M4d4:))
25° OxedNSdN % T2°O%xXdNSdE %- T° ORKUNDdD % GO°OXXdNDdD = 94dN9d:13
( O3LHOIIM GNS) YOLV1S30 GND NOIZNOS (94dN9d4:3)
IT33/IXLMI*X( TID % dd) % CXIMS**( TSC % do) % NXIMIxxdN % OXLMI%*( 13D * dd) = OMXAd:13
(G3LH9IIM JTAVIUVA) - YO1V1430 NOI1ldyOSayY 39vVY3ZAV NOIZUOS ( GMXAdd33)
2S ° ONAN 3 T2°OXXNAT 3% 5T°OXXNND 3% GO°O2NND = MOINNAZ
(G3LHSIIM dND) INSWAOTdWINN NOIZYOI (M94ANNS:2)
(29° O72 °O)3%AGNON (29° O/%T°O dx ADNOF % UBS) * (29°O/ TZ°O)3ex( AdNID % UID) * (29°0/60°O)%x( AdNDD * Y39) = L4AdNI:13
(G3LHSI3M 30VUL) dNO TWNIWON NOT3OS ( L4AdN943)
(29° O/7E2 ° 0 )x*xdNON % (29°O/%T*O )xxeCdNOF 3% WEE) x (29°O/TZ°O)x«C dNID % HID) * (29°0/60'0 )xx( dNID * YAD) = MLJdNI-I9
CS39VY3AV G3LHOI3M) SITGVIUVA NOIZYOS *IIA‘Z
-jTZ-
"62E
"82
“Lee
“92E
"G2e
“o2E
“Eee
“22E
“Tee
“O02
(0d943S33)1390 = a94Sa43
GT4OM JO 1S3Y NO SWIVID JLVAIYd NOIZNOI NI JFONVHD (0948043)
4394/0439 % dd49 + dddN + GdddF + UBD * (IdL19 + 91S9)) = Gdd4S43
a140M 40 1S3u NO SHIVI9 NSOTINOS JLVAIYd (0d94S43)
=°O * HID * dd * (dtd) 130 + 9°O *% dN * (dN)130 + 2°O x UID * dd * (dx9)T90 = Gdwad4d32
SWIOLS WiIdVI 3JLVAIYd Ssoud NOTIYO4 ‘NI JONVHD (dd'd43)
<°OxKTHD % GS OxmTUN % T° OxmeTUT % 2°OHKTHD = TH43
aLvVa 1S3Y31NI WH31l SNOT J9VYaAY NOISWO4 (1443)
2S°0 * SYN + T2°O x SUF + ST°O x SUD + GO°O * SUD = MOASHAR
(GALHSI3M dND) Alva WIIG AUNSVINL ANVYIAY NOIZWO4 (M9ISU4AF) sur * £9°O/9T°O + SYD x £9°0/TZ°O + SUD x £9°0/60°O + SUN x £9°0/E2°O0 = Sud3
(G3LHSISM AGVUL) JLVY WIIG AUNSVIUL AJNVYSAV NOIINOI .(SYIsI)
- 2Zi-
“Ste
“OEE
“£ee
“Ze
“Tre
“Oz
[] N N °o
093°T 900°0 (l-) 0938°T <1T0°0O (9-} 09e°T 6T0°0 (g-) 0938°T s20°0 (>-) 098°T 2<0°O (<-} 093 °T 8z0°O (2-) 093°T 40°00 (T-) o92°T Ts0°0O (o-)
dvis-1 143039V1 ov
G$8/> :G31VWI1S3 52 = GON Td £86T Ol 2B 496T > 39NVE
(6°2) @ss°- = OHY TZZ°ZE.= SHIT NVSH Z422°s = “Y'S'S Ted’ = BSUI (9TS9<°T) OOT * (T-JYINS * eG48Ee° - (CC T-1)d9/0T-1I)AGAS 130) * TAZOIDVI + (2986 °8T) (296°T) (C2-)udNS * TEZ8TO°O - (T-)UdsIO) * 2TZE68" + (T-3UdHS * TEZ8TO°O + GTE29°> = udsI9
S$39TUd 226T - INSWLSSANI IILNAGIS3Y 3LVAINd (edsIS) = “Ske
699° 20z- SZT°O SWS 250 °T 828 °6<- 20s°T 250°0 (<-) s2s°Tt ET OL- 262 'T s90°0 (2-) 999°% 892° 06- 926°T <S0°0 (Tt-) 96S °T osZ°TOt- esst‘o Tto0°o (o-)
AvVis-1 243039V1 AViS-1 T430309V1 ov1
G@/> :Q31VWIISA 0S = +b 2961 OL £0 OZ6T_ + 3ONVY 92U2 MO SEb EE | SHINER BL5°2 was) ONES esuo (22220°2) (N99)730 x 296066" + ((CT-1)YNIN9)13G) x Z43099V1 + = (((T-1)dN99)730) * T43099V7 + (9252°02) (6S2b2°T) ((2-JUNdND % 80E90'O - (T-)UNdSIO) * ZOZTOG* + (T-JUNdY X BOS9D'O + ZE009°Z = UNdSID S39IUd 2261 - INSWIS3ANI IWIIN3GISSYNON SLVAIUd (UNdSID) = *ZES 246°0 WAS 921°0 600°0 (<-) 09T'Z 99T°0 (2-) b60°ET -E2E°0 (T-) TZ2°9 086-0 (0-) 4ViS-1 143099¥V1 9v7 G@/> ‘:Q31VWIIS 92 = SON Td S86T OL Td 596T = 3ONVU (2°6) GZZ° = OHY 901T°9 = SH1 NV3N 800° = ‘Y°3'S 966° = SUI (GS985S5°) ( 20652") ( T5060" 3
<b x 189000" + 2b * b=G000° + TOS x ZZT000°" + (€CI)GA9)501) % T43099V1 +
(£90Z0°T) ( 992260" ) UMND * (CT - (OOT/dX3d9 + T)/(OOT/SUS + T)) % OGO000" - S9TZIO° = €39)501
S33Tad 2261 - JYNLIGN3SdX3 NOLIdWNSNOD ALVAIYd (35) “9Ee
30IS 1V3au JILS3NO"d 213000 NYWU39
- 1 -
Yd4I9 + YNdsID = djIS
S$39TYd 226T - IN3WLSIANI G3XI4 AVAIUd (d4I9)
A34VS9/d9 * JD = VSNAID
(VSN) S39TUd INFWND - FJYNLIGNAdXA NOILdWNSNOD ALVAIUd (YSNAIS)
dN9d9/VSNAdNSS = VSNdNSO
CYSN) S39Iud 2261 - LINGOYd TVNOILYN SSOU9D ( YSNdN99)
AdNSAVSS/AdNOS = VSNAdNSIS
CYSN) S39I¥d LINJYYND - LINGOUd TWNOILVN SSOU9 ( YSNAdNII)
AINSSWS - AINSSXD + (99 + TID + 9419 + ddIO + 39) * dD = AdNID
S$33IUd IN3FYUND - LINGOYd TVNOILYN SSOUY9D ( AdN99)
(8/(T)dNSO = 0 fZ- = TIWNS = 1dN99
dN9S JO ANVUSAV ONIAOW YALYVND-8 ( 1dN99)
INSSHWS - INSSXD + 99 + IID + 9SID + dsID + 3D = dNOOD
$39Tud 2261 - JINGOYd TWNOILYN SSOU9 (dNS9)
S8/b ?Q31LVWILSA 06 = +O 286T OL 20 O96T *FONVY (6°9T) Tye’ = OHY 649°08 = SHIT NVM <09° = "Y°3°S 666° = BSHD (96229°2) (6ssSZZ") (S£Z0T6* ) (T-)19 * £B * 6246000" - (T- yo % 20 x 99T000" + (T-)49 * Td * 2Z2T000°" - (S626 °T) (922TlLy" ) (2<2sSg°T) (8968 °6S) (92892 °s) <b x 20S8bL°" + 20 * B6EET2" + Td x 62219" + (T-)99 *% 685220" + tslzl*> = d9/VSNAVI39
2ZT°0 *WS szs°0O S+0°0 (£-) 2ZZ°T 6ZT°O C2-) 980°T ott’o (T-) £6 °T £9T*O- (0-)
dvis-1 143099V1 Sv
S$8/b ‘:Q31VWILSS b> = SON TD £86T OL TD TZ6T *FONVU (o°>) 899° = OHY 696°S = SHIT NVSW ZST‘9 = “Y'a’S ZLE° = BSD
(8ZZZ12") (TT22b" ) (CCTISNS - CIIOXD + (IJSISD + (1)39)1390) * TAROIOVI + (T-)IINO * TzbeTo° - TtzZ°Ot = IIs
$39IUd 226T - INAWLSSANI AYOLNSANI (TIS)
- %J -
“Loe
“9b
“Sb
“Eb
“20
“Tbe
“Ob
“62
00% * ((dN99)907)13G = dNSHId9
aLVY WANNY - dNO NI JONVHD JOVINSINAd (dNIHId9)
d9/AGAD = GAD
S$331Yd 2Z6T - AXOY¥d SWOINI 31IGVSOdSIG (GAS)
AGAAVSS * IVSNAGAD = AGA
$33Idd LN3XUNI - AWOINI 3JIWVSOdSIG (AGA9)
AdNVULWS - AdNVULXS + (ASNVULWS - SNANVYLS) + (ASNVYLXS - VSNALD) - VSNAVYII9 - VSNAdNSS = IVSNAGAD
(VSN) S39Iu¥d LN3XYND - AWODNI 3IAVSOdSIG G3LVINITVI ( IVSNAGAS)
IIdVS9/TIS = VSNIIS
_ (WSN) S33Tad 226T - LNAWLSAANI AYOLNSANI (VSNIIS)
AITAVSS * VSNAIIS = AIIS
S$39Tdd INFYIND - LNAWLSSANI AYOLNAANI (AIIS)
d3 * VSNIIS = YSNAIIS
(VSN) S39ITdd LN3YYND - LNSWLS3ANI AYOLNSANI (YSNAIIS)
AAdTAVSS/( 9419 + ddID) * dD = VSNAIIO
CVSN) S33Idd LN3UYND - LINAWLSSANI G3XI4 IWLOL (VSNASID)
JIS * dd = ASIO
$3IIdd INAMYND - LNAWLSSANI G4xXI4 Wi0Ol (A4I9) 94ID + d4dID. = AIO
- ga9Tud 22461 - INSWLS3ANI G3XI4d WWLOL (419)
- Gi-
“Za
99E
“GG
“eG
“2S
“Tse
“OS
“6d
VSNALS ~ VSNASSIS + VSNASS + SNANVULD = VSNJ3099
(VSN) SISV@ VIN - LIDI490 LNAaWNYAAOS (YSNJ3099) “29
S94AISVS9/dI * DAIS = VSNAIISII
(VSN) S39TYd LNSYYND - INAJWLSJANI G3XI4 LINJWNYZAOD (VSNADSII) = *29¢ 3943VS9/d9 * 9D = VSNAII
CVYSN) S39Iud LNAYYND - SAYNLIGNAdX3 LNAWNYJAOS (VSNAID) “T9S
S8/b ot wat isa Gz = GON 20 <86T OL £0 HZ6T *39NVU
(9°) 909°- = OH Seb" = SHIT NV3N 200° = “Y°3a°S GSZ° = bdSxd (20009°<) (22062 °<) <b x 8Z9T20° - 20 * OZIOTO” - (29829) (L226 °4) (62898° 5) (962bT"8) Td x 208920" - DJAULS * 659902" + AULD * L5S929° + 968bT2" = VSNAdN39/VSNALI
(VSN) S39Tud LNSYYND -- ANNIAAN LNAWNYSAODS WWL1OL (VSNALID) °O09E
S8/> =? G31VWI1S4I 9 = GON TD £86T OL TO $Z6T *39ONVY “weaS 266° = BSD
(2) 962°- = OHY 22°92 = SHIT NV3W 668°2 = “YF <D. * OT/(02/(F 189 = O f6T- = CIWNS * 2/(( T-)@Gdd9ND - AddIND - (T-)VSNLGI09 + YSNLGI0G9) x 3or9e0" - 20 x OOT/( 02/707) 199 = O f6T- = CIWNS * 2/(( T-)@8d9N9 - GEBd9ND - (T-)VSNLG309 + VSNLG309) x Tts0" + Id x (92206°)
OT/(O2Z/(F)199 = O f6T- = CIWNS * 2/1 ( T-)Gad9NI - AAdIND - ( T-)VSNLG30G9 + VSNLGIG9) x ZIOGZZ° +
(T688°2T) OT/( 02/707 )18D = O f6T- = CIWNS * 2/(( T-)@Gd9ND - AadOND - (T-)VSNLG309 + VSNIG30G9) x 9899Ge° + (T2S9°s) (oZoT2°s)
8
OOT/SUS * 2/(( T-)Gad9SND - GadOND - (T-)VSNLiG309 + VSNLGI09) x H9STIT" + TTltet *o-
SINSWAVd LSIYAINI INAWNYSAOS (dI99) °6S¢
S8/> *Q31VWI1LS3 Sz = GON +d 296T ot TO >Z6T *JONVY “9 =
(9°29) 656° = OH ZG°222 = SHIT NVSW 226 ‘wears «6196° = oSyXd (18s25°9) <0 * bBST°ZT - (6T9TE°9) (82865°S) (662TT’T) (9226°2) 20 * 6992°6T - Td x TST2°ST - d9 x OOT/I19 * NNO * BSbTZ2TO" + dI99 + TO9°Ss<s = SNANVULS
YOLIZS LNSWNYFAGD °a°I°9S
- 9Z -
-il-
%/YSNI3099 + (T-)VSNL@309 = VSNLES9
(VSN) SISVG@ VIN ~ 19830 .N3WNY3A09 ( VSN1G305))
°o9E
- : (VS) IWae-HLYOM LAN (UMNO) “OZE
(WS) S33IYd LNINYNI-HLYOM LIN (MND) °69¢
_ 9 3% VSNYMNSD + VSNAAMNS = YSNAMNOD
(VSN) S39Iud AN3YYNI-HLYOM M3N WV.LOL (YSNAMND) °S9s
‘CdS % 9)/CVSNAVII9 - AIIS + VSNASID) + (T-JYSNYMNS = YSNIMNOD
CVSN) 1V3u-TVLIdV3 - HLYOM 13N CVSNDIMNSD) §=—-° 29
%/SNAAIMNGS + (T- )YSNAAMND = VSNAAJMNO
(VSN) S39Iadd .IN3YUNI-HLYOM M3N IVIDNVYNI4 (YSNAAMNS) 6° 99¢
YSNAIS - AIIS - VSNAJIS - SNANVULS + AdNVUINS - ASNVYLNS - AdNVULXS + ADNVULXS + YSNALO - VSNAGNOD = SNAIMNGD
CVSN) 3Lu °NNV S39IYd YND-HLYOM 13N IVIONVNI4 NI JONVHD (SNAJMNGD) °S9¢
HL1V3M GNY SONIAVS 321VAIUd °9°1°9
- @Z-
6%5°0 *WNS
29<°T $+0°0O (z-) 29e°T 060°0 (2-) 29E°T SzT°oO (T-) 292°T ost’o (0-)
ivis-1 143039V1 sv
S$8/> ‘Q31VWILS3 Sf = GON £D Z286T OL TD £Z6T *39NVY (T°>) 65° = OHN %28°S- = SHT NVBN ZS0° = “Y°3a°S 196° = BSD
(S$S6S°T) (Z8T00°T) (60T8=zZ° ) 169929°6)
<b x Z8G550° - 26% €28220° + IB x Z50STO" + T£220 * 260865" + . (SEE6EL) . . JHIL * 999620" + (€(CCI)I939 * CIVANOXd])/CI)IIS * (1)dId9)SO1) * T43099V1 + ; (2999°52) (VSNdNI9)901 + 18695°S- = ( (133 * ANSXd3)/AI9N)901
wee wee mem ee ww ewww we ww oe ww ww nw wr wn www ee ee
C°S°N $) “WAN 3HL WONS SLYOdWI SGOOD NVWUAS (A3SW) “Ze
08°0 ?HNS £9S°2 080°0 (£-) £85 °2 19T°0 (2-) £99°2 Td2°0 (T-) <9G°2 22<°0 (0-)
ivis-L 133039V1 . 9V1
S8/> ‘G3LVWILSA 08 = GON %D 2961 O1 Z596T *JONVa
(£) £22" = OHN 2E8°- = SHIT NV3W 6ST° = ‘4°3°S £98° ssa (%TOT*T) (269296 ° y £0 * 6422490" - 20 * 069250° - (96628°2) ; TB * 2eSZeT° - CCCCIITAD x% €IIANSXd3)/0 IMIS % €I)dId9)9O1) * T4IOIOVI + (£9S62°9) C2TT2T°s) CYSNdNS9)901 * 98592°T + bb2E6°8- = €€133 3% ANSXd3)/AISW)501 C°S°N $) VOYNYD WOUS SLYOdWI SGO0D NYWU39 (ASSW) “22 8<2°O- “WINS 49=°0 <£10°0- (<-) 9T6°2 50° 0- (2-) Sz<°y $Z20°0- (T-) T2e°2 ZOT°O- (6-) dvis-L 1330395V1 Sv S8/> ‘G3LVWIISA 62 = GON 8 2861 OL ID £Z6T *39NVU (8°<) 285° = OHY 696°S- = SHT NW3H 690° = “Yu°3°S Zoe’ = 8SYD (692296°) (25806 °T) (£Z800T° ) £B * 290610" - 2b x T9ZEb0° - Td * 960200" - (2900 ° dz) CCCCI)839 % (1)d9)/(1)1I0d0)901) * T33009V1 + (dN59)901 + C868I°S- = (1039 )907
SSSSsssslssssssscz=sc=
inno3a¥ ANIZMIND °II’S
- 6Z -
Tes°0 WAS T9S"< 8390°0 (<-) 19S°¢ 9IT°O (2-) T9S°¢ %ZT°O (T-). T9S°< 222°0 (0-)
ivVlS-1 1413039V1 ov
S@/> -Q3LVWILSS IS = GON Id £6T O1 TD OZ6T *39NVU
(z) TZ<° = 2OHN (S°T) 802° = OHA 269°S- = SHIT NVEN 450° ‘a32°S see" = BSYD (85282 °S) (T1692°6) (£1S92°2T) <b x £26280" + 2B OSSHIT” + TS * 612902" + (80202 °5) (225G°9) TToZd * IZ2eT2° - JWIL * $8S900° + CCCI IANSXd1/0 1139 * CI IdIdS)SO1) *% T430I9V1 + . (S92°80T) C¥SNdNSS 1907 * S°T + 94962°6- = CANSXd 717A 19H 1907
ee ee meee ee ee mee ewe owe ee ee ee ee eee
C°S°N $) IGT WOUA SLYOMNI SGO0D NVWUS9 (ATION)
925°0 TWAS £90°0 Or0'O (Z-) 22°00 <20°0 (9-) %2S°0 8<0°0 (g-) T2s°0 ¥50°0 (>-) $89°0 140°0 (s-) SZ2°t Q60°0 (e-) 989° t 60T°O (Tt) 062 °0 O<T°O (Q-)
AViS-L 143035V1 ov
S8/ *G31VWILS3 ZZ = GON TB £86T OL *. £961 2 pd
(Z°2) 6TZ" = OHY L250°T = SHIT NV3H 666960" = “Y°3'S (82669°2) £0 * 229020" - (TZ69°2) ( 9eSb0°<) 20 * 696130" + TO * £oTT60° + COCTIANSXAN/CT NID % CIVGIdSISON) % TAZOIOVT + (62266 8) (6T689°S) CVSNdNS9 901 * 68TO2Z°T + LZ2282°9- = CANSXdN/ASNX 1907 csn $) ANYHUS OL SLYOdX3 SGOGS °S°N (ADNX) 06 °T [WS 2eez°T 8 8 869g22°0 (Z-) STTt°2 <8T°O (9-) 20E°2 >9T°O (s-) 210°2% 69T'°0 (b-) Toe°2 86T°O (<-) sos°< os2°0 (2-) 956° 92<°0 (T-) ToZ°2 926°0 (0-) AVLiS-£L T43039V1 ov S8/> ‘:Q3LVWILSI 2 = GON Id £86T Le 6% <£96T *JONVY (2°<) 465° = OHU BZT°- = SHIT NV3N 280° = “Y'3°S 686° = BSHD (ZE2Z<6°) (<TTSt’T) (62092°T) <0 * 20S220"° + 20% SETZ50° + Td * 928790" + (S£b28'T) (TOZT"9) (82662 °9) (15906 “<) TToZq * Tz2zssit* - Teood * T260zS° - SWIL * Z529TO° + (VSNdNOID)901 * £ISSb°T + (89802 °=)
CCOCIIIS® 3% CIIVANOXdLI/CI NID x (I)dId9I9SO1) * TAIOIOVI + 86—29266°8- = (CIT3ar 3% ANSXde)/A9CXI901
C°S°n $) ANWWURI9 OL SLYOdX3 "$0009 3S3NVdr (ASPX)
“9LE
“GZe
“OLE
066°0 7 WMS
026°T S2T°O (T-) ‘ o<b°sT s98°0 (o-)
4VLIS-1 143039V1 ) A}
S@/> ‘G3LVWIIST 06 = SON % 296T ots <d 096T | *JONVY
ZSZ°T = MG TOZ°T = SHIT NV3N $ST° = "US'S 466° sud (9%G05°T) CCIJASFX) 3% TS3099V1 + &b2020° = ACW
(ALLIN3GI-ISvNd) (°S°N $) Nvdve Hous SLYOdWI SdOOS NVWY3S9 (ACSW)
439 3% ATOSWS x YHSAOSNS = ADO
(°S°N $) 3adO WOUS SLUOdNI TIO (AOS)
986°0 WMS 6Ze°0 6S0°0 (Tt) S>9°<T 226°0 , €0-)
AVLiS-1 T43099V1 ov
$8/> *GaLVWILS3 Sk = GON %D 286T OL 2D EZ6T 2 39NVU (9°2Z) 808° = ONY 216°>> = SHIT NVSW T6°T = “4'3°S 886° = O8SUD (8S948S°) - CLETLyd°) (8T%TT’T) <b x £0S9T° + 2B x 6TOZOE" - TO * £82299" - (86626°T) (OOOT/( 1T)N39/CII1VIOdO x & x CIIOSAVG * (I)1OOND) * T43099V1 + S8Eb6°9. = ATOIND
(ALLIN3GI-ISYND) ANIVA - SLYOdWI 1IO (A109)
4a TOONS + 1089 - BSAVG/(10S9)130 + 109X9 + 1039 = 109N9
zIt’t 7 WINS, BSz°b TIt’o . Ce-) SSz°b £22°0 (2--) SSz°b oz<°O0 (Tt) SSz°b so>°O (0-+) AVLS-1 143039V1 ov
S8/b ‘Q31VWIISA 29 = SON Td seet OL TS OL6T + FONVe
(8°S) 266° = OHY 622° = SHIT NVBH £0° = “H°S°S 246° = ‘BSUD (>>6TT’2) (8602T*<) £0 * £22520" - 2D * SZ48SZ0° + (££685°2) (T90b2°=) ; ; Td x 60¢S80° + aWIL * 8bT900° + CCOTIANSXdI/(I3TRS * (I )dId9)I901) * T43099V1 + (2£829z°<) (6£260°2) CVSNdNSS 19071 * 6£900°T + 62886°E- = CANSXdI/AISW 901
S3TUINNOD WWIYLSNGNI WOW NON WOuUd SLWOdWI SGOOS NYWU39 (AIS)
- 18 -
“Tee
“oes
"6@2E
“ele
“LZLe
(9TSb2°2) £B * L2T622°
S$33Idd 226T - SLYOdWI SGOOS NYWYSS 1V101 (SWS)
(PQVASNS - (Y39/A0DH - ATOSWS) + YI9/ALIWISOT = (AINID)I90T
SISV@ dO@ - SLYOdWI SGOOS NYWYU39 1VLOL (ADNS)
ANOH + ATSH + AZOW + AION + AOSH + APSH + AFOW + AION = ALOH
(°S°N $) SIS¥E LOG - SLYOdWI SGOOS NVWUS9 W101 (ALON)
_$08°0 TWnS - 12g°S E20 (1-) b0S°ST O25°0 (0-)
AVLIS-1 143039V1 ov1
S8/> ‘:Q31VWIISJ 06 = GON rtd 1s 2b o7et * JONVY (@°b) Zo° = OHN BLT’ = SHI NVBH 95° = "Ua'S osud
(8Z£20°2) (Z2622°T) (85820°T)
2B * 2T2s02° = - TD x £Z22tT" - (CIJANSW) % T43099V1 + £829ET° = ASNX
(ALLINJGI-ISYN®) (°S'N $) *S°N NOUS SLYOdNI SGOOS NVWN39 ( ANON)
- 2@ -
“SS
“£8Es
“28e
$33Iud 226T - SLYOdX3 SGOOD NVWY39 IW.LOL (9X9)
(839/AL9X 3901 = (AIX9)901
SISve dOd - SLYOdX3 SGOOS NVWYSS W101 ( ASiX9)
ANSX + AYOX + APEX + AIOX + AIX = ALOX
(°S°N $) SISVG 100 - SLYOdXI SGOOS NYWYSS IWLOL (AI9X)
228°0 :WiNS 216°0 §90°0 (1-) ‘8>°IT | 218°0 (0-)
AVLS-1 1T43039V71 sv
S8/b ha teers 06 = GON 5D 286T OL 2d 096T *F9NVU
6£6°T = 468° = SHIT NV3N 940° = “U°3°S 686° = OBSUD ( TO<0T*2) (LZ£0T" 4) (2zs21") (900ZT"s) ; £D % b2>8b0" - 20 * 9TEH60" - TB x G/ETZO" - (C{I)ASCH) x T49099V7 + 825650" = APSX (ALLIN3OI-ISYND) (°S°N $) N¥d¥f OL SLYOdX3 SGOOD NYWY3S (AP9X) oto'T ?WNS es0"s T6T'0 (1-) 950°ST . 618°0 (0-)
dViS-1 143039V1. svt
S8/b :Q21VWI1Sa_ 68 = GON $8 286T OL 2D 096T *F9NVU
(2°?) Gb2° = 2OHY (9°2) 222° = OHY OB" = SHI NV3H so" = °u°3a°S 866° = oBSxd (o2265°2) (T6S89°2) (£8090°) <d x L6T8<0° — 2B * soezso° - TB * S8Z4S0° - (eto *T) (T9062 °9) ; (982b02°) Toll x Sa0260" + T2220 % 61862" + CCCIJAIINISON) % TS430909V1 + TS9TTO’- = CA39X 1501
sa009 4O SLUOdxa ‘8°
- ¢8 -
“06
“68t
“Lee
“995.
AGNASWS + AGASHD = AASHO
SINJSWAVd JWOINI INSWIS3ANI TWLOL ( AASHO)
S8/> ‘:Q3LVWILSZ O24 = SON od 286T OL 25 S96T *F9NVU
(Z2°0T) 82° = OHN TbO°2 = SHIT NV3W TIT’. = "¥°3°S 966° = BSD (92088°9) (S$2629°%) (AGA9)901 * £5600°T + ZETZE*b- = CAdNVaYLKS 907
ALVAIYd - SIN3WAVd YaISNVUL CAdNVULHS D
<£6T°O 922°0 WAS
O<e°T Tto°o L£92°S 800°0 (Z-)
8sTo0°? 610°0 L92L°S sTO°O (9-)
To0s°2 920°0 L9L°S £20°0 (s-)
2gZ°2 620°0 L9L°S Tz0°0 (o-)
<£Le°< Tz0°0 LOL°S gz0°0O (<-)
622° 0<0°0 L9L°S 940°0O (2-)
sve°T 220°0 L292°S ¥S0°0 (T-)
7 £28°0 Teo°O = ss 92° T90°0 (0-)
dvis-1 243039V1 dvVis-1 143039V1 SVT
$8/h ‘G3LVWILS2 62 = GON 5d Z286T OL 2D £96T 2 39NVY Ma 640 71 osua
400°2 = “= SH NV3H 600° = "y°3°S 609° = (£9999°T)
(OOT/(I)'5U9) % 249090V71 + COOT/CI)M14SN59) % T43039V1. + $9900" = d149/A0NASHW9
SIN3WAVd AWOINI LINSWISJANI LISUIGNI ( AGNASWS)
S8/b *daLVWIisa TS = GON 5d 2986T ots To. OZ6T *JSNVY
(6°T) 22° = OHY 290° = SHIT NVEW 610° = “Y°3°S £459° = BSD (692TT°2) T2osd x SZT6s0° - (60S29°2) (8T60T"S) (66<8T°S) (96692 °) TzLZ0 * $22840° + ToTZ0 * 862560° + NIS * £6S400°" + veTSIZ*- = CdNSd9 * 101789 )/AGASHS
SINA3WAVd SWODNT INASWLSSANI L935uNIG ( AGASHS)
et8'"0 [WINS s<8°O 9z>°0 (T-) 9%2°0O 92Z=°O (0-)
dvis-1 143039V1 2)
S$8/5 :d31LVWI1S3 99 = GON ba Ot 20 9961 = 39NVU (2°) 220°- = OHY £29°S = SH1 NVAW 2ST" = a°S see’ = odsud
CC CCI M43a39/CI )M4d49)/01d9)901) * T43099V1 +
(92Ts°TT) (62220°6) (dNS9)901 * £TLe2e°2 + S2ago°TI- = €0444839/M4id49 ) /AdOSHO )907
“G6
“v6
“£6
“26
“T6s
SUS4SNVUL ONY S3DIAURS JO SLYOdWI °3°II'S
AINWIVSS * SINSOND = INSSWD
S39Iudd 226T - SISV@ VIN - SIYOdWI (INSOND) ‘20% 7> QalVWILSS IS = SON Dd 286T OL 1b OZ6T ?39NVU (9°2) 29° = OHY G62°S = SHI NV3W 2TO° = ‘Y°4a°S 966° = ObSUd (81652 °2) ($9202°<) <b * 200600" + 2b * SOZbTO" + (T895°<) (TS05°2Z9) . (<£Tes0° ) ; Td * GSEbTO" + (d3/(ASOSHS + AdOSWD + AASHS) + SHDIDO] x 200066" + 966900°- = (SINSSWS 3501 CALLINJGI-ISWND) CVSN) S33IUd 226T - SISV@ VIN - SIYOdWI (SINSSWD) ~TOd AINNIVSS * SAINSSWS = AINSSNS SadTad INIBNI - SISV@ VIN - SLYOdWI (AINSOWD) °00b S$8/> ‘Q31VWILSS 06 = GON +8 Z286T OL 2D O96T :39NVU (6°2) 99° = OHY 820°S = SHI NV3W TO" = *‘y°3°S T= obSYd (s2Zeb°2) (5208S °2) <b x 8£2500° + 20 * 6T4900° + (69282 °) (688°9d2) (29992°T) Td * STZTOO" + CASOSHS + AdOSWSD + AASHS + ASWDIDOT x 506866" + =2S920°- = C(SAINSSNS 1907 CALTIN3GI-ISvVN®) (VSN) S39IYd INFWWND - SISVG VIN - SLYOdWI (SAINSOWND) ‘*66¢ ASWS + ADWS = ASIN SISV@ dO@ - S3IDIAYIS GNY SGOCS JO SLYOdWI (ASOWD) °865 AASHS + AOSHS = ASHS W1OL - S39IAN3S 40 S1NOdHI (ASWS) °26¢ ASOSWS + AdOSWS = AOSD TWLOl - S39TAU3S Y3HLO 4O S1LYOdWI (AOSHI) °96¢
AGNASXS + AGASX9 = AASKS
“S1dT3938 3SWOINT NAWLS3ANI WWLOL (AASX9)
S8/5 ?031VWIIS3 O04 = GON od 286T on 20 S96T ?39NVU
(6) SbZ = OHU @b°- = SHIT NW3W G/T° = ‘4°3°S ST6° = 8Sy9 (T9TZ9°9) (T82980°2) (14AdNS49 901 * 888866" + G6z0S°9- = CAdNVULXS 1907
ALVAINd - S1idI393N UAASNVUL ( AdNVULXD)
6TT°o 0bv=°0 =WNS Toe": 2T0°0 626°< ><£0°O (<-) Toe°Tt $20°0 626° 890°0 C2-) Toe°Tt 9<0°0 626° 20T’o (T-) Toe°T 850°0 626° 9<T°O (0-)
AVIS-L 243099V1 AVIS-1 T43039V1 Sv1
S8/> <G31VWIIS3 62 = GON bd 2861 OL Tb £96T = F9NVY (2°T) ToT’ = OHY 290° = SHIT NVBW 10° = ‘U'3°S Tso" = osu. (S99bb°S)
COOT/( 1. )M34SU4D) % Z4R009V1 + (OOT/(I)SYD) * T42099V1 + 92T0z0° = d949/AGNASX9
SidI393u 3WOONT AN3WLS3ANI LISUIGNI ( AGNASX9)
S8/b One eeazisa <> = GON 5D 2986T OL TD 2261 ?39NVY
(o°<) 985° 620° SHIT NV3H <TO° = “Y°3°S £2b° = BSUD (88990°s) (2ZZTT°T) <b * SBbsTO" + 2B * 809900" + (2>b09T*) (TZO0z9°T) (969%>°T) ; TB * O£4000" + MIINIID x 6TETOO’ + 2£2£2Z80°- = (M34439/I4dN9dI9 * IGL1UD)/AGASXO
SidI393u AWOINI LN3WLSIANI 193NIG ( AGASX9)
g2Z°0 *WNS 692°0 2b2°0 (Tt-) 8bS°T £8d°0 (0-)
dvis-1 1430391 Sv
S8/% *G3LVWILS3 99 = GON Dd 286T OL 2b 996T = 39NVU (Z£°S) 965° = OHY Gze's = SH NV3H 460° = "Y'a°S G6e° = BSUD
CCCI) dNSd9/( I MJU39/( I )Midi9)901) * T43099V1 +
(96025°S) (ST269°S) (ML4IdNSI9 901 * TITZZ°T + 2006°9- = ( dNSd9/AdOSX9 1907
“LOb
°905
“S05
“905
“£0b
SUaISNVUL GNVY SAIIAUIS 40 SLUOdxa “@°rr’s
(Z60SZT* ) TD * 269000° +
($9980°2) Td x S200"
AINXAVSI * SINSOXS = INSSX9
$39IUd 2261 - SISVa VIN - SLUOdX3 CINSSXD) “oTy S8/5 so aeNT Sa Ts = GON coer os a) een 5 JONVY (<£°6T) £T6° = OHY = SHT NV3N 600° = “Y°3°S 866° = dsud (86999°T) (1262S ° } <b * 292500" + 20 * <ITTOO’ - (oTZ9° £2) (8859956 * ) ; ' (d9/CASOSXS + AdOSXS + AASXS) + 9X9)ISO1 * GGZ6G6°" + TS<8Tz2° = CSINSSX9S 1507 (ALLIN3OI-ISVNO) (VSN) S39IUd 2267. - SISW@ VIN - SLYOdX3 (SINSSX9) “<I AINXAVSS % SAINSSXS = AINSSX9 a 6)
S$39Iudd LN3IYUNI - SISVG VIN - SLYOdX3 (AINSSX9)
- 6 286T OL Te 096T *3ONVY dsud
S$8/> <G3LVWILSA 16 = GON (2°9) 9£S° = OHY 9T°S = SHT NV3W 400° = *u° T= (29920°T) (926b2°2) <b * £6ZT00° + 2b x 492900" - (82Z8°S2y) (Ze22°) ‘ ° + 296950°- = (SAINSSXS 1907
CASOSXS + AdOSXS + AASXSD + ADKD)ISOT * SHb00°T
(ALLIN3GI-IS¥NO) (VSN) S39Iud INZWND - SISVa VIN - S1WOdX3 (SAINSOXO) “ITS ASKS + ASXS = ASOXO SISV@ dO@ - S39IAYSS GNY SGOOD 40 S1YOdXa (ASOXI) “OTS AASXS + AOSXS = ASK W101 - S3OTAU3S 40 S1uOdxa (ASKD) “605 = AOSKD
WLOL - SAITAURS Y3HLO 4O SLYOdX3 (AOSXD) “80%
- 42 -
TWENVYLS + TvaSss9 = TyvaYuNns9
JINVIVE INNOIDVY IN3SYYND ( 1yvaYuNI9)
ASNVYLWS - AdNVULWO - ADNVYLXS + AdNVULXD = TVENVULD
JINVIVE INSWAVd YSadISNVUL ( TYSNVULS)
INSOWD - INSOXD = INXL3N9
$331uUd 2261 - C(SISV@ VIN) S33IAaS GNY SGO0S JO SLYOdX3 L3N ( INXLIND) 1vaso + alvd + Tyva99 = 1vas99
S32IAU3S GNV SGO09 NO JINV IVa ( 1¥aS99)
ASOSWD - AdOSWD - AASWS - ASOSXD + AdOSXD + AASXD = 1vES9
“025
“6Td
“STb
“LT
“9Td
“ST
SJINVIVa “3°II'S
66 °0- [WS
<£ZZ°T <£82°0- ([-) 8b9°0 9TT°O- (O-)
Avis-1 143039V1 OVI
G8/> 7Q31VWIIS3 £8 = GON 4d Z86T OL TB 296T *39NVU (9°22) 22° = OH %6°S = SHIT NVBW TSO" = “Y°3°S 266° = BSD
(99TT2"s) ( 89012")
€b * 222880" - 20 x £oT90T° - (£9062°>) (T2006°2) . ; (62226 °2) Td * £6090T° - (dS/VSNAMNS)901 * BSEEEzEz° + (Ta9 - 3WILYD) * 426G20° + (6%S5°<T) (98SZT°T) CCCIIVSNdNSS 9071) x* T33039V1 + (CT-)d9/(T- )ddL9)901 * TZTOZZ° + 90Sb2°T = (d9/dGL9 )901
BLVAIUd - SIN3GIS3Y AG G13H SLISOd30 3WIL (dOLD) “£25
sto°o- 9o<°T. . "WIS VN VN 988°< veto (r-) VN ' VN 009°S £Z2°0 (2-) TZT°s 800°0- 9TZ°6 80s°0 CT-) yea" Tt0°o- T6ez°2. TS=°O (0-)
divis-1 243039V1 ivVis-1 133099V1 ov1
S8/5 *G3LVWILS3 98 = GON Dd 296T Ot. 20 T96T 'JONVE (T°2) ££9° = OHY GS2°> = SHIT NV3N STO" = “Y°3 §66° = SUD (60T2S°9) (£98Z25°2) (S9Z8T°6) <b * YGbEG0° - 2b x 619820" - TD * <<0<s80° = - . (9£bb°d2) (CI)SHD) *% 243039V1 + CCCI IVSNdNSS 901) x* T43039V1 + 22S°b- = (d9/d0G9 ):301
3LVATYd - SIN3GIS34 Ad G13H S1ISsod3a GNVW3G (ddd) “225
$8/>y ‘G3LVWILS3 28 = GON + Z286T 1. 2B 296T = 39NVU (£°6) T2Z° = OHY G9Z*s = SHI NV3W >TO" = "Y°3S°S 886° = odSxD
(¥9<9T°<) (S95 °9) (9£69°4) TZ990 * 695920". + AVSUS * OSTTZ0" - (dS/VSNAGASD 901 * £<£<Z0T° + (20262 °%) (9962Z°2) CTITss* >) . (d3/VSNAMNS 1901 * 251620" + (0 9- )d3/( >- JUNI HOT * E9ZHEG" + boZBS9° = (d9/¢NIS 1307
ALVAIUd - SINAGIS3Y Ad G13H AININUND (NID) “TZ
LDRIVW ‘WIINYNIA STLS3WOG “III'S
-~ 68 -
£W - AlddNS A3NOW (SHO) “255
Ggi5 + TWO = ZnO
@W - AlddNS AJNOW (Z2W9) “Ts
9aaqs + dIWS = IWS
TW - AlddNS A3NOW (THD) “Osh
dagqd + unde = dIW9
TW O13H ATSLVAINd (dTW9) 8 *625
‘a39 + GSS + Gi5 + aad = 1a9
SLISOd3O WV101 (109) ‘82
9019 + d0l9 = als
W101 - SINJGIS3Y AG G13H SL1ISOd30 3WIL (019) “225 saq9s + daas = aas
W1OL - S1ISOd3d GNYW30 (Gd9) “925
S8/b *da1VWILSa 8c = GON 5B 286T O1 2B FZ6T = 39ONVU
996°T = MOQ SZ°ST = SHT NVBW 625° = ‘U°3'S 156° = OSU (960%TS" ) sb x 195° . - (#060T") ( 810599") (Z1S9°2T) (8bbT9°S) Zex #G5T2°2 - bx 2/2086" - (U39/OMN49) x ZZSTOO" + 439 * T69ST'T - (20sIS°¢) (1e9TZ°2) (6S12°T) (698Z°ST) = ai9
Gay * GfZ80°T - Sud * TOZ9Z9" + (439/0MN49)7A9X9 * L°LZT6T + «§=949T9°Ob-
SNVE NVWUZ9 LV SLISOd3d WUVW G13H NOI3NOs WIV (049) “Sz
S@/b :Q31VWI1S3 15 = GON 8 2986T OL 2b OZ6T *39NVY S2°2 = MO 626°S = SHIT NV3WN 210° = “Y°3°S 166° = SYD
(T0035 °6) <b x 868Eb0" - Cy¥S9ZL°TT) (£2892 °6) ($82IZ"4) L996 °2) 20 * ST6S950° - TB * G2Z4b0" - (AVSUS - SYD) * 9T0900° - (d9/MN9 1901 * $S202T° + (8ST269°T) (88S °02) (2T062°2) (dNS9)SOT1 * ZOLEZ2°- ((T-)d9/(T-)0S9)901 * ST6S68° + B0ESZ°T = (d9/0S9 35071
W101 - SLN3GISIY AG 013H ‘SlIsOd3a SONTAVS (GS9) “beb
- 06 -
00% * (CTWIISOTIT3IQ = TWHIdD
aLVa IVWANNY - TW NI JONVHD 39VIN39U3d (THH9d9) ‘Sb
- T% -
$8/> ‘:Q31VWILS] I5 = GON %8 Z286T O1 2D OL6T *3ONVU 222°T = MG S92°> = SHIT NV3W 202° = “U°3a°S TS6° = OSD
(oy202°T) (82¢9°S) (2052 °T) (9T2899°) 189 x TOZsS0° + Su9 x O£8580" + (T-JAVSYS * 695602" + STI9bdT° = AVSUSD
alva 1ISOdaa SONIAVS (AySUS)
S$8/> <:Q31VWILSA £9 = GON Id £6T oo 2B 2496T *39NVU
(6°2) GSE" = CHU 259°9 = SHIT NVBN S8fb° = “U°a°S 246° = OSD (2T6e5°2) - (y<eg° ZT) (99996 ° ) THD * bbTbS2° + SUS x S9EGHL" + 29ZSSS°- = | 3WILYS
alva 11SO0d30 SWIL ( 3WILYS)
2£92°T- =WNS 2e<°0 9S5°0- (I-) 2e<°0 216 °0- (0-)
ivis-1 143039V1 svi
S8/> :Q31VWI1S3 %& = %) 296T OL £b SZ6T *39NVU 6TS°T = MG 666690°- = SHI NYSH blZ° = "W3"S 9H° = BSUD (9909 °S) (T0z60<° ) (G85)130 x eS2g9Z° + CCCIIGONS/(1)389)13G) * T43099V1 + O99TSO" = ($49 )130
S3AN3S3YN GINDI1 33u4 (449)
_ S8/b 'G3LVWILS3 <> = GON % 296T OL TD 2Z6T :JONVY (8°9) TSZ2° = OHY GE9°b- = SHT NV3BH 90° = “U'3°S BeZ° = SYD (61T099°3) <b « ZQ9IST" + (z990°0T) (TZ98T°S) -(C9Z8T<SB° ) (TOZ°<0T)
2b * ‘5385L02° + TD * 2T62ST° + Itezaq x TO9zbO0" + s9282°b- = (109/984NI9)501
“Leo
“9Eb
“Geb
S31vVe 1S3Y31NT aNY ¥YO1I3S SNIWNVG JLVAIYd °d° III° 9
- 2-
. (>>Z8° OT) 2b * ShTSG0° +
(22ZT0°2) 2b x L240ZT°
+
aaS * (OOT/aquNeS - T) = GaN
S3AU3S38 SS37 SIN3GIS3Y AG O13H SLISOd30 GNYW30 (G0N)) ‘Tb>d
S8/> :G31VWI1S3 9¢ = +8 286T Ol HD S/6T *3ONVY (Z°T) 682° = OHY 906° = SHI NvaH TTo*” = *¥U"3°S £66° = BSYD (9292°OT) £0. * GbZ640° + (2tZe°tt) (Ss2T0°<s) (8002 “023 . TO x Teezg0°" + (29899901 x £2980°T + £9LZE°S- = (ITsZq x* @una9 + 4Y9)91
(ALIIN3ZGI-ISVN®) S3AN3S3Y G3YINOIY WALIV (YN) “Obb
G45 x GsdNaVS + GSO x asyyYNd + G19 x GLlvwwyd + GdS x GauyYNd = IYO
S3AU3S39 A3YINDIY 4O ANIVA GALVINIIVI (9NUI) “6b
s<<c°0 SWS
SSS°T 91T0°0 (It-) <££Q°2 st0°0 (OT-) 199° 020°0 (6-) 62>" £20°0 (8-) 295° S20°0 (Z-) $22°S £20°0 (9-) 829°S 620°0 (g-) 68S°S T<0°O (>-) L£LZT°S £<20°0O (<-) S69" g<0°0 (2-) 292° ££0°0 (T-) 268° 0+0°0 (0-) 4ViS-1 143099V1 ov
S8/b *O3LVWIIS3 6Z = GON _>8 286T OL ID £96T :39NVU
(9°8) 62° = OHN Té6ee*Z = SHI NVBN S2e° = “Y'a'S Gb6° = BSUD (89¢92°¢) <b x T90bEz° + (£6020°T) (62620°9)} (T5619°8) Td x 2yb80" + ((T-I)SUS) * T43099V1 + SUD x €26092° + 6ST6"S = THD
3LVa 1S3YSINI WYAL SNOT (149) = ‘esb
- £6 -
004 * ((¥SWE99)901)130 = NEDHIdD
SISV@ TVNNNY - AJNOW YINV@ TVULN3D NI JONVHD 39VINIIU3d (NEIHId9) "Lob
(a39 * GsydAvS + GSO x (Z21°S - GSHNUD) + GLO x (%b°ZT - GLUYYD) + Gad x (19°9T - GaNNYd)) * TO0°O = raysau9
S.LN3W3ININD 3a 3AUIS3U $Z6T YOS INNODDV O1 WEDS OL “ASNaV (FAVS3YD) °9by WEISVSS x WEDD = YSNAaIS
(VS) AANOW DINVE TVYIN3D 40 3NIVA TwNLoV (YSNaI9) “Sbb
S8/ *G3LVWIISS = 62 = GON . od 286T OL TD SZ6T 2 39NVU
(8°S) 2° = OHY Sb8"> = SHIT NV3H S0O° = "Y°3°S 666° = BSYD (22£20¢°T) <0 * ST£Z200°" - (22029°) (1To2$8°2) (9£52°99) (8609T°Z)
2B * 525600" - Td x 98TS00° - CINGI5 901 * ST6S8" + S819625° = (W899 1901
(SYS .SANINUILIG. }) AIJNOW SNVG TWUIN3D JO SNIVA TWNLOV - WEIS (SUD) ‘“Hbb
ass x 180°O + G19 * 52T°O + GGD x 99T°O + G4uNDS + YNDS = DWAD9
AJNOW YNVE TVYINSD 40 3NIVA G3LVINIIVI (INAISD) =“ Sbd
FavS3uS - GaH1O9 + Gad9ND - OVIND = IWGIS + 4d
DNVES3IONNG 3HL JO SWIVID Y3HLO - ALIINAGI 133HS JINVIVE NVA TVYINSD (GGHLO9) “Zbb
SITLIYOHLNV AYVLANOW ° 2° III'S
G8/> :G31VWIISI %¢ = SON 5B 286T OL 2b 5Z6T *3ONVU
(<°2Z2) G26" = OHY 298° = SHIT NVSN 220° = "Y°3°S Té6é6’ = BSUS (62292 °=) <b * 5240220" - (265299° ) (252S8°T) (6T09S"Z) (8S09Tz*) 2B * 986500" - TO * 68E2TO” + (GMAXd49 901 * e9sese’ + LTSbl0°- = (139 x% ANSWdS )}9071
CALLIN3SGI-ISvVND) X3ONI 3NTIVWA LINN LYOdWI CANDWdS) “TS
S8/b :G3,VWILSA TS = GON 8 Z286T OL TD OZ6T *FONVE:
(9°ZT) 956° = OHN 90° = SHIT NV3N STO" = ‘“¥°3a°S 406° = osu (96%S62° } Ce2T9898<° ) CeteZ2°T) <b % 496000° + 2b * <£95T00° - TD x 222500" + (£9S22°9) (82526 °T) . CCT- ML4AXd4d9/0T- 139 % CT- }WOGdSISOT x 908ZT° - (WOdd9)901 + SSbbSO° = (ANMSxXd9 3901.
X3Q0NI ANTVA LINN 1YOdX3 (ANSXdS) = *OSb
S@/> ‘G31VWI1S3 92 = SON 8 286T OL +S £96T = JONVU
(82) 56° = OHN 980° = SHIT NV3W TO” = “¥°3°S 46° = BSD (8686Ts° ) (92962 ° ) (x<Sez<°T) <b x 089000" - 2b * TS6TOO" - TR * GS@z00° + (Z998T* 5) (86069 °2)} CCT- MLSXdd9/CT- 139 % CT-)WOGdSISOT * 6HB6CT" - (WOdd9 )SOT + T9650" = (dId9)9¢9
XJONI 3DIUd WIBLSNGNI (didi) “6%b
2600 . €62°0 T1z°0
TWINS: VN VN VN VN SIs" bz 8bz°O (z-) VN VN VN VN £69°L2 Ts2°0 Ce-) SSsO°T 0<0°0 £59°T 640°0O Z£TZ°8 6ZT°0 (Tt) Tss°0 sto°o 202° $02°0 662°0 2<0°0 (0--)
divlS-L £430239V1 iv1s-L 243099V1 1ViS-L T43039V1 )
<
S8/b _ GALVWILS3 9¢ = BON 2d ze6l co gb <£Z6T *3ONVY (8°682) 296° = OHY 299°2 = SHI NV3W 500 “wares T= osyd
(9TZ00°2) (£9992 °<} (1sz<2Z°) <b * 252200" + 2B * 256500" + TD * 882000" +
CCCT-IINAS/T)) 3% £dFOIOVI . + COCCI AYNING 1901 - CCI) TIONNdS )901)) x* (I) 243099V1
(929°) (CAYNIND 901 - €139/2Z2110d0)901) * 2ZT6éTO”" +
COCCI IAYNINSD SOT - C€CIIM9ISO1)) x% TASOIOVI +
‘(s<28°TT) $2°0 * (CCT JAYUNINDISOT = O *E- = MIWNS + ELEH°T- = (d93907
+
YOLV134ad NOTIdvuOSEY (d9) “Sbb
S$39Tdd “VAIS
AlddNS GNY S30IUd *AI‘S
~ G6 -
(g-)d9 * (T + OOT/dxX4dd9) = Tdd
AXOUd 13A31 39d 03193dx3 AGVAHV-YILYVNG-ANO (Td)
(ybee29°O 2 TT OL”
= 9) WAS/((S - P)dN9dD/( 0% - FIdUNDdD - ( FIMNOdD) % (-)eKLB°O > O STT- = PIWNS x OOT = dX3d9
JOVUFAV SNIAOW - SNOILVLDSdX3 AUVNOILVIANI (dX3d9)
(WOGYVHS9I/( CINSSWdD)907 * (WOGYVHSS - T) - €d9)901) Idx = WOddS
(SLYOdNI LNOHLIM) NOILduOSEY IILSINOO YO4 YOLV14390 (WOdd9)
({ 139/2Z1I0d0)901 * STIS98°0/(STISe8°0 - T) - STT888°0/( INSONdD)901)dx3 = TIONWdS
SLYOdNI TIO-NON 4YO4 XSONI 39IUd ( TIONWdS)
00% * ((€d9)901)130 = dHId9
3LVa WOANNVY - 13A37 g01ud NI JONVHD 39V1N3943d (dHdd9)
INSSWS/AINSONS = INSOWdS
SIsva VIN - YOLV1430 LYOdWI ( INSSWd9)
dN9S9/AdNDS = dNId9D
YOLV1430 LINGOYd TVWNOILYN SSOYD (dNSd9)
S8/> ‘Q3LVWILSI 9¢ = GON 4b Z96T OL 5D S46T *39NVU
(1°6) ST8* = ONY 8S5°5 = SHI NV3W 400° = “Y°3°S G24" = BSYD (é6Stys°T) CTT869"=) — (4y9T2" 9) (1° £90T) <6 * SG8TOO" + 25 x 288500" + TO * £28500" + (d9)501 + T6éz2sz*> = (Id3d9)901
(ALLINJONI-ISYVND) X3JGNI 3IIYd YAWNSNOD (Id3d9)
- 9 -
“6S%
“LS5
“9Sb
“Ssh
“Sb
“2a
£zb°O *WNS ose°0 800°0- (Z-) 98b°0 .£00°0- (9-) oot’o 200°0 (s-) SST°T . 020°0 (>-) sS2°< 9%40°0O (£-) $10°9 T80°0O (2-) 400°9 o2T°O (T-) T00°sS 9ZT°O (0-) ivis-1 143099V1 svi S8/> :Q31VWIIS3 GZ = GON B £86T OL TD S96T FONE (2°12) ££6° = OHY 826°- = SH1 NVSN 200° = “Y°3°S 266° = bSUD (22620°6) (629T6°2) .
AWIL x T99TOO° + (CCI )dOd9/01)319)901) * 1430991 + SbEGl9°- = (d0d9/419 501
43404 YOUVT (3719)
5E5°0 WNS T6e°2 290°0 “(£-) T68°z OOT"O (2-) T6S°z O0T’0 (T-) 169-2 290°0 (0-)
AVLS-1 143039V1 Sv1
S8/5 :G31VWILSS 68 = GON 2D £86T OL TD 196T = 39NVY (9°@) 269° = OHY 666°6 = SHIT NV3W 200° = “4°3a°S £66° = oSYD
(£2802°2) (8S68°8T) | ' BWIL x% 822000° + (CT-)3719)901 * 922568" + (6T8T9°2) ; (£Z902°") CIH19)501 * 90£T60° + C€CCCI)IH19)901)130) * 143039v1 + £L£9%2°T = (319)501
ANIJWAOTdWA (379)
S8/p :G31VWIISI 49 = GON ID £86T OL Id Z96T 2 39NVU (o°£2) 296° = OHN 8b9°> = SHT NV3N 268°T = "U°a°S s6e@° = BSD
(69b2<8° )
NND * 282z2ZH°- = dX4d9 - (5-)M9/00T ¥ ((b- MS - MO)
“T9b
“095
IN3HAO1¢N3 GNY S39YM ‘@°AI’9
- 46 -
00% * (€(M9)901)130 = MHId9
JLVa TVWNNNVY - S39VM NI 3ONVHD J9VINIOU3d (MH9d9) = °295
N14dvVS9/(319 - 419) = YSNNTS
(VS) 3LVY INSWAOIdN3NN (YSNN19) °995
4719/0319 - 419) * OOT =
aLVa LNAWAOTdWSNN (NID) §6°S9b
280°0 [WS s02°T 020°0 (<-) 9T6'T 920°0 (2-) 622°0 sto°O (T-) 806°0 sT0°O (0-)
AvVis-1 143099V1 Sv
(<Tezes*) © (9gg2<2°) (£6290°T) (<b x 8999000" -- 28 * TsSTOO’ - TO x 628100" - (£2098°S) SWIL * O£2b00° + COCCI * 269901 - (s85G5°2 x G9E°O * (1)1099)901)) x TAIODNVT + (992S5°5) COD * 26)501 - (£858b°2 * G9E'O x 1029 - INSOWS)901) * 2£969T° + (9<TSe°<) COW * 26)901 - (b0T00"'O * 419)901) * 9°O + (XD * 261901 + 80686°T ) dX3 + INSONSD - = 1LOddNOD (NOILVNOS IH1S NI G31LVINDIIVI SINZIII4S309) dNO WWI1IN3L0d ( 10daN99) “bob 280°0 =WNS S02 °T 020°0 (<-) 9T6°T 9<0°O (2-) 622°0 sT0°O (T-) 206°0 st0°0O (0-) ivis-1. 143039V1 ov1 S8/> *daLVWI1Sa Sz = GON + 286T O1 2D SZ6T *39NVU (£°2T) 228° = OHN 282° = SHIT NVAW SOO" = “Y°3°S £66° = SUD (<£TeZes°) (999222 ° ) (£6£90°T) <b x 899000" - 2B * TESTOO" - TD x 628T0O" - (£20998°S) SWIL * O£2500° + COCCI x% CIINDSISOT - (2eGS5°2 * S9E°O * (1)1099)901)) * T43009V1 + ( 99255") CO * NI9)501 - (<BGRb°2 * G9Z"O * 1099 - INSIWS)ION) *« 4£969T° + (9zTee°s) 90695°T = COS * NI9IS01 - (IHI9)901) * 9°O - (9 * NID)IOT - CINSINS + dNIN)901
X3Q0NI - YO8V1 4O SYNCH TVLOL (IH19) “295
- 8 -
(UNBSIWD * COOT/TUD) * CIAULD - T))/CCYNSSIND * (COOT/IND) %* CCDAWLI - T)-))dX3 - T) = dad3399
NOILVI93Ud30 DJIWONOIZ (d30939)
d9 * CYNIND + T) 901 3S713 dd * (T0000°T)901 N3HL °O 37 YNINS 4I = AYNIND
WILN3GIS38-NON - 1WLIdVI 40 1S0D Y3SN TWNIWON (AYNINS)
(JABLS
- T)/CENAVI309 + O00T/dx3d9 - (OOT/ 189) * (DAULD - T)) % CUNINVUSS - d30939 * JAULI - T) = YNINS
TWILN3GIS3YU-NON - Wwildv> 40 1S09 Y3aSN TW3a¥ CYNINSD)
(YAVID309 + OOT/dX3d9 - (00T/TH9) * (AULD - T)) % CULNVHSS - T) = YONh
TWILN3GIS3Y - WLIdvVD 40 1S0D Y3SN WW3ae (INS)
$/TI9 + (T-)ITWS = IDE)
IN3HIS3ANI AYOLN3ANI 40 WOOLS (IIN)
949 + dO = OK)
WOLS WLIdvVD Ssous Wi0l OV)
' §°Oxx(G2900°O - T) * 9/9419 + (T-)9NO * (92900°0 - T) = 9)
WIOLS WLIdVS INSWNY3A09 SSO (99)
Udo + YUNG = dH)
WIOLS WLIdVD 3LVAIYd SSOUD (dO)
S°Oxx (5/80290°0 - T) * b/UNdSIS + (T-)UNdNS * (5/80290°0 - T) = YUNA
WILN30IS3Y-NON
- WIOLS TWLIdVD JLVAIYd SSOUS (CYNdNO)
S°Oxx (6/TZZ8T0°O - T) * b/UdSIS + (CT-)UdNS * (6/TEZ8TO°O - T) = Ud)
WILNAGIS3SY - NIOLS WLIdVD ALVAIYd SSOUS (aay)
- 66 -
( (.LOddN99/dN99 1907730 = ((N99)907)730
“Slo
“LLo
“9Lb
“Glo
“oLb
“lb
"elo
“TLd
"OLb
“695
“895
SWIOLS .W1LIdVD W3e GNV ALIDVdVD °3°AI'S
(34dN9d49/M94N39) * JGLIGS * SZ2°O + (T-)3017N9 = IGLTU9
z>0°O SANS Z£ST°O Too°o (ST-) 222°0 T00°O (oT-) oTs’o 200°0O (<T-) <£9S°0 200°0 (2T-) T2Z°o 200°0 (TT-) 228°0 <00°0 (OT-) 200°T <£00°0 (6-) tet't <00°0 (e-) Ts2°T <00°0O (2-) 22Z2°T <00°0 (9-) tts°t <00°0 (s-) Tz9°T £00°0O (o-) 699°T <00°0 (z-) TzS°T <00°0 (2-) To2°T <00°0 (T-) 226°0 <00°0 (o-) AViS-1 143039V1 sv1 S8/> ?G31VWI1S3 +45 = GON Dd 296T ote 2b 696T > JONVY (9°>) TZG° = OHY ££28°S = SHT NVBW 26Z°T = “Y'3"S bbd* osu (ZT828°2) (2626T’S) €92962°T) vOLT*S) <b x 4Z585°T - 2b * £026°T - TD * 62256" - TT2Zq * 9960L S + CC6LETH2 *Oxmxe( (CCI) YAS/CIINAF) % CIIAMNSF) * 268902 ° Oxx( ( (1 9N39/CI)N33) * (IIJAdNSI) % 29996E°Oxe(( TIYR9/CTIAMGNON) % CLTSST *Oxmx( ( (I )N39/0 INA) % CIJAdNSD) 1490) * TAdOD9V1 + (1T9625°S) G2ol°S = 3a174095 SY3N9T3I404 NO SWIVID LINSWLSAANI 1935uIG NI 3ONVHI (9017109)
“08
“6ld
La VW IVIDNYNI4S TWNOILYNUSINI °A°9S
- OOT -
@N5d9/101109 x SZ2°0 + (T-)1GL18S = 1OLTES
wee ee ee ee Su a ca Se ce ee we ee ee ee ee ee a
SUINSIFNOS OL SITLIVIGVIT 193uI0 WUSL-SNOT Wway (101L7u9)
oto°o 890°0 WAS
392°0 000°0 9635°0 T00°O (sT-) 900°T _ 000°0 965°0 200°0 . (oT-) £ee°T 000°0 96S°0 £00°0 (£T-) £6Z°T = 000°0 9639°0 400°0 (2T-) L90°% T00°0O 965°0 s00°0 (II-) SSo°< T00°0 ' 969°0 s00°0 .COT-) 2L£9°% © to0°O 965°0 900°0 (6-) 20¢°S t00°O 969°0 900°0 ce-) 862° 1T00°0O 965°0 900°0 (Z-) $16°E T00°Oo 96S°0 900°0 (9-) stz°< t00°O 96S°0 s00°0 (s-) toe°s t00°O 96S°0 s00°0 (o-) 905°2 t100°0 9639°0 400°0 (£-) SS2°2 tTo00°O 969°0 £00°0 (2-) ¥90°2 t00°O -96S°0 200°0 (T-) oT6°T 000°0 96S°0 T00°O (o-) AVIS-1 2413039V1 AVIS-1L 143039V1 ovi
S8/> ‘:G3IVWIISA 69 = GON %B 286T OL 5B S96T *39ONVY
662°T = Md 26°2 = SHIT NVBH 22S°T = "u'3a°S Sb° = BSUD . (%6Z0S5°£) : TU2Z0 % 98TOS°S + (CC IDTGNSS 3% ((I)TUN - (1)789)730) * 243099V1 + ; (20%b6°S) CCC T638/C 1 )AGNS9 130) * T43009V1 + sogsz’s = d9/101109
- TOT -
OMNIS + & % (d199)T30 + dVSNGD = © * (d919)130
we me wwe eww EEE eee eee eee ewe wee eo eee meen to me
SUINBIINOI NO SHIVID OT104.1N0d WIINWNIS (d949)
101749 + 301109 - O109 + VIGNS - TIVGUNDS + SV4ANGS - = dV¥4INGS
CALLINZGI dOG) MOTZING WildVS ATud LIN (dV¥4Nd9)
1T00°0- 200°0 *WNS 69T°O 000°0 3) 000°0- (s-) Sz0°O 000°0 <t<°t 100°0 (>-) 62T°O 000°0- <£9T°S? t00°0 (z-) 029°0 000°0- 90°2 tTo0°o (2-) 9355°0 000°0- s0Z°0 o000°0 (T-) 46S°0 000°0- ts9°0 To00°0- (0-)
i1ViS-1 243038V1 1ViS-1 123099V1 ovt
S8/» :Q3LVWLLS3 S> = GON 5D Z286T OL 5D IZ6T *39NVU 2e°2 = Md =%el°S- = SHI NVBW £S2°ST = “Y3°S 626° = BSYd
( 94656° 4) (29290°S)
£6 * 9ST°9S + 2B LLES°OD +
(2S1S0°%) (9£229°9) TD x LOKH"SS + «=THGLG * T906°Z6 + © COC I)YSNAMND % (1)034N)130) * 243099VT + (966£T0" ) (S20°)
CCCIIVSNAMNS x (1)SU9)7130) % T43099¥1 + (ASHS - ASXS) x Sbss00° - ZIT°Ss- = OONY39 SNOISSINO GNY SHOUT (OONV39) $08°0- Z19°S- . €92°0 ZWNS YN vN ~ Zte"t 26 °0- YN VN (Z-) VN VN Zse°T 169°0- YN YN (9-) VN VN eoe°T 189° 0- VN VN (S-) YN YN 1<8°T 996 °0- €20°2 69T°0 (o-) 260°T £TS°0- @sZ°T - 256°0- ° 252° 19T°0 (<-) 2Z0°T SOs ‘0- 2Lo°T <£<@°0- 069°S <ST°O (2-) S62°0 260°0- 226°0 . OT9°0- <62°¢ SoT 0 (T-) z02°0 TIt‘o 99°0 $92 ‘*0- 09 °T Z<T°0 (0-) AV1IS-1 £43099V1 1VIS-1 243099V1 41viS-1 1413099V1 9v1
G8/% :@aLWWIISa Sf = GON ob 2961 OL <5 £261 2 ONE
(6°) GTZ° = OHY 26€°Sb2 = SHIT NVSWH TOS = °U°3 566° sud ( 221660") <b % Tzszet" - (28852 °T) (1zz98%8° ) (9869°T) , 2B % 6b60/°2 - TR TSE9G°T - Ios420 e TSEZ°OT + ((1)03N) * £43009VT + (96Z8T°T) (<£0261T"T)
((€1)d339) % 243095V1 + CCIJASNS) % T430095V71 + GMN4S * Z456<TO" + 6829°SZ- = d149
SUINITIVOA OL SZLLITIGVIT O11041LN0d WIINVNIA (d149)
(dX3NOd4d9 + MASUAD - dX3d9 - SUD) * £0°O + (( T-)Td9/( T- )TdN9d49)901 = (M41N39)901
° Leb
"Sey
“oOb
“SMOT4d TWLIdVS Y3BHLO *S°A'S
- 20F -
$9<T<°O x 139 = 439
(WO/$) - X3Q0NI 3LVY 3SNVHDX3 LOdS (139) °06
- C8S° O/T )xee( OT * Ox AAr/ YAS) % 21" Oxx«( 493/439 ) % 60° Ox( Y39D/N39) * £2°OxKNRD) = M4IYH39
(439 YO4 G3A10S) SLHOIZM G3XI4d - 3LVY JONVHOX] (U3d) *“6ed
SZ/T GaLYWILS3S £9 = GON 5D GZ6T OL 2B O96T *39NVE
<2°T = MG WN = SH1T NV3H 556° = “Y°3°S 426° = BSD (>°2T) (W3a - SYD) * O2TOZG x TZ209Z6° - (s°5) (9°2) (CCC )T39/C T- \OMAXd49 )/C T- JANSXdD) *% 9BE6G°6 + (CT- )JSVINS/CT- JAINSSNSD) * SbebSZ° +
(T°02) . (6°2)
(Su9 - G34) * T52068°- ) x (LVOTAD - T) + (CCC T-)I39/CT- )OMAXd4d9)/( T- JANDXdD) * BGTHS'S + (2° (£°ET)
( (T- )9VINO/CT- JAINSSNS) * 6£296°2 + (SUD - Gay) * ZEEZT'I- )
C (2°T) (3°T) (T°S) : x LvVO149 + £b * 260060" + 2B x §$0920Z2° + Td * 262902" + SI2°OI- = d439
SdIHSNOLLV 134 aLVa JSNVHIXS °3°A'9
- £0T -
(L26ZT°2) IbZZ0 * 666°62
(T-J9VANS + 6/( 1VA9VAGS - LSVINGS) = SVIND
AN3SWNYIAOS 3HL 40 SL3SSY NOIZNO4 13N 40 NIOLS (9V4N9)
WASVAGS + SVAINGS = 19V4NG9
$13434443 NOILVNIVA INI *1A09 3H1L 40 SLASSV ‘YO4 13N NI SHD (19V4NG9)
S8/p ‘ G31VWILSS 62 = GON 8 Z86T OL 2D S261 = 39NVU ST@°T = MG T2T°>- = SHI NV3W £62°22 = “U°3°S 651° = OSUD
(22T98°2) (L166 '2) (85285 °2) €T-JSVANS * T2Z4S0°T - (T - (1T-)439/839) x* $28°08ST + 9T298°T9 = 9VINGS
S.LN3WAVd 4O JINVIVd ONY NOLINSAUSINI WI3I4dO “IA’S
- 5OT -
“6b
“26
“Téb
To°O * SUN + 9T°O % SUF + 6F°O *% SUZ + 40°O * SYD = MIASUIAC
SWIV1D °“YOs AG °GLM - 31LVY LSAYZINI WY31-LYOHS NOIZYOs (MI4SUI9)
T° O3ENIN 3% IT*ONIC % 65 °02HENIZT *% 4O°OHRENID = MIANIIS
SWIV1D °YOs AG GALHSIIM - NOILVZIVIIN ALIDVdVI NOIZOS (M94NIS9 }:
T>* O24dNIdN % IT * OxKdNOdS *% 62° ONXdDNOdS *% 50°OxxdNSdD = JJSdNOdJS)
SWIV1D *YOJ A@ G3LHOI3M - SISVa dNO - 13A37 39Td NOI3ZNO4 ( D4dN9d49 |!
SUr * 85°0/bT°O + SUI * BS°O/ZT"O + SUD * 89°0/60°0 + SUN x 85°0/52°0 = M4SUd¢)
3LVa TIId AUNSV3UL ABVUZAVY NOIZNOS (MISYUIS |!
(£-)M4dNSddD * (T + OOT/dX3N9dI9) = TdNOdds)
13A31 39T8d ‘NOTIYO4 G3.193dx3 (TdN9SdJ49 |
(ybee 28°O =? TT OL O = Wd) WHS/ OD ~ PIMIdNOdI9/( (0% - CIMSdNIdID - CC IMSGNSdID) % CP-)xxZB°O = O STT- = PWNS * OOT = dX3N9dd9
Q3LH9I3M = 31Ve NOILVIJNI NOIZUOS 03.193dx3 (dX3N9d49 )
(85° O/T )ex( "Ox dNOdP % ZT" OxxdNOdS % 60°Ox*dNOdD % €2°OxxdNOdN) = M4dNSdJ°) ©
G3LHSTIM - ¥OLV1430 NOTIddOSdY NOISYOI (M4dNSdJ9 }
(85° 0/T )xae( HT * Oxxdr % 2T°Oxxdd % 60°Oxxd) * £2°OxKdN) = Midd
SLHSTIM G3XI4 ~ YOLV1430 NOILduOSay 39vuaAV NOIZYOS (M4d59)
OWLMS%% ZL1I0dO % THWIMOxXXANSXd1 % IWLMOxxXANOXdI x - FWIMSx( TSP 3% ANOXde) % SWIMS (139 % ANSXda) % IWIMIe( 13D x ANIXdD) % NMALLMS%XANDXdN = GMAXd4d9
($) SLHSISM 3TEVIUVA - S39Iud LYOdX3 JOVUZAV NOIZYOI ( GMAXdJ9)
MND + Yat % MNT + 499 % MNZ + Y39 *% AMND = GMNd9
(S39VeaAV GSLHOI3M) ‘SaTEVIEVA NOI3UOS “IIA‘S
- SOT -
“0S
°20S
“Tos
°00S
“665
“86
“L6
“965
“S64
2LTSST ° Oxx( T39 x% ANOXdD) x* 268902 °Oxe( I33 % ANDXdA) * G6LETHS°Oxmxe( ISS % ANDXdE) *% 2SS96E°OXXANSDXdN = MLIXdjID
SIHOI3M JOVUL G3XI4 A@ “GJM - 3NIVA LINN LYOdX3 NOT3NOI (ML4xdI9)
' Th° Oxyd % OT Oxme( YIC/NID) ¥ 62" Ox¥( U99/NI9) x 0° Ox*(Y39/NR9) = M9INI9
SWIV19 NOTIN04 AG GALHSISM - 3LVa FJINVHIX2 (MI4N39)
(89° 0/22 °0 )xxAdNON x (8S°0O/5T "0 )see( AGNI 3% UAC) % (8S°O/ 2T°O )xex(AMNOZ * Y33) % (89°0/60°0 )x*(AdNDD * 439) = LIAdNDIS
SLHOI3M 3GVULl G3XI4 A@ GALHOISM - dNO *YO4s IWNIWON ( 14AdN949)
(89° 0/£2 ° 0 )xx%dNON % (89°O/5T°O )xexe( NOC % WAC) % (9S°O/2T"O jee GND * YI) .* (85°0/60°O )ex( dNDD x 439) = ML4IdNIID
“SLHSI3M 30VaUL G3XIZ A@ G3LHOIIM ~ dN NOIFNOS WY (MLIdNIID)
62°O0 * SUN + 40°O * Sur + T9°O * SHa + £0°O * SYD = M14SHA9
“SGVI1 °YOS AG “CIM - 31VY 1SSUZINI WYIL-INOT NOIZNOS (M14SYI9)
- 90T -
"90S
°“Z09
"905
°g0S
46° S0T- 6T0°0 <6<°O SWS YN VN T9b"s T00°O 9TL*b Tt0°o (Z-) VN VN T9o"S 1T00°O 9TL*d 220°0 (9-) VN VN 19b°< 200°0 9TL*d <<0°O (s-) £28" zz2°l- 19d°s 200°0 9TL*b +b0°0O (>-) £28" 99>°>T- = THE <00°0 9TL*o s90°0 (z-) 228° 669°T2- 90° <00°0 9TL*d g90°0 (2-) £28" 226°82- = =190°S $00°0 STL" 9Z0°0 (T-) 228° 99T° 9E- T9o°S $00°0 9TL* 280°0 (0-)
AV1IS-1L £43099V1.. 1iV1S-1 233099V71 AVIS-1L 143039V1 Sv
G8/> ‘G3LVWILSS &> = GON TD £96T OL 4B OL6T *39NVU (2) @Tg°- = 2OHN (2°T) £2°- = OHY 90°9b2E = SHT NV3H 2o9°6Ts = “Y°3a°S 228° = BSI
(106°) : IloZg % 995°S2Z - (°OOT * (T-I1)NINF) * F430IIVT + = (CC T-I)dS/0T-I)MNC) % 2430991 + (86192°T) (CCC T-1)df/CT-IAGAC 1390) % T43099V1 + = ((£-UdWF 4% -ZBO°O - (2-)UdsIC) % 669TS2" + (92906°) (96850°Z) ((2-)uar * 280°O - (T-)uddIC) * 925225" + = (T- dd wr * 280°O + GZ°STST- = wadsI¢ S39I4d 2261 - LNSWISSANI IWILNIGISSS (dddIF) “ITS 000°69T- 00s "0 tHNS VN YN 465 °2 .990°0 (s-) VN WN | °. ££9°2 960°0 (2-) 06E°T. _ 000°8S9S- 949°2 060°0 (T-) 065 °T 000° 9TETI-825°T 650°0 (0-) AVIS-1 243099V7 1V1S-1 143099V1 vi S@/> <:Oa3LYWIISS 95 = GON 48 2861 OL 2B TZ61 *3ONVY . (1'>) 159° = OHY 20°689% = SHI NVBN 225°59Z2 = ‘YAS 126° = OBSYd (962251) (nor lad * 600Z°T=S + . (995920°S) IToza * 15Z°289 - (CC T-T)YNONF)190) x 243099V1 + = (CC T-I1)dN9C-)130) % T43099V1 + . (9662°IT) (82505 °2) , ((2-)YNdNe %* 9OT°O - (T-)UNddIC) % 65928Z° + (CT-)UNdIT * 90T°O + BZ°TSTT = YNdsIC
S39IUd 2Z6T - INSWLS3ANI TWILNSOISSYNON 3LVAIYd CYNdJIC) “OTS
$8/> :Q3LVWILSS SS = GON 8 286T O1 2D 696T *39NVU
LbZ°T = MQ S6°OT = SHT NVSN TIO" = °Y"'3"S 966° = BSD . (809ST°T) (OOT/Tar + T)SOT * £24688zZ" - (22£280°2) (9902 °6T) (60Z2T89° ) CGAP I9OT * LZ5Z52T" + CCT-)9P 901 * 622288" + <£060bT*- = CSF 907
SaITUd 226T - JYNLIGNAdXS NOTLdWASNOD SLVAIYd (9F') *60S
3QIS 1W3u JILSSNOG *1S0GOWN. ASANVdYer
- LOT -
ASvIOr + AdVIIC = AVI
S39I8d IN3WIND - JINVMOTIV NOLL GNNSNOD WiIdv3 CAV2ar)
AIISVSC/AIIC = VSNATIC
(VSN) $30Iud ANFWUNID - IN3HIS3ANI AYOLNSANI CVSNAIIC )
dr x IIf = AIIr
S33IUd IN3YUND - INSWLS3ZANI AYOLN3ANI CAIISC)
AdAsITAVSF/AdSIC = VSNAdSIC
(VSN) S331dd INZYUND - INSWLS3ANI G3XId 3LVAIYd ( VSNAdJIP )
df x daIf = AdsIC
S$33Idd IN3YWND - IN3WIS3ANI G3XI4 31LVAIUd (AdsIe} adjIr + UNdsIC = dsIr S39IUd 22461 - INSWLS3ANI G3XI4 31VAIUd (d4IP)
d- * IF = A
S331udd INFUNI - JYALIGN3SdXa NOILdWNSNOD JLVAIYd (AIF)
AdNOAVSP/AGNOP = VSNAdNOS
CVSN) S33TUd INI8YND - LINGOYNd TIWNOILVN SSOYS ( VSNAdNOP)
AINSOWF - AINSOXC + ADT + ATIC + AQAIC + AddaIC + AIC = AdNOF
$331Ted IN388ND - 19NdOUd TVNOILYN SSOU9 (AdNIS)
INSOWT - INSOX® + df/( ASF + AIIC + AQAIC + AddIC + ADC) = ANF
S$331Iudd 2Z6T - 19NdOYNd TVWNOILYN SSOYS (dNOF)
8/>° 2: G31VWILS3 = GON Dd 296T OL 5D 296T *39NVU (>°S25) 166° = On 9°>Z98T = SHT NVaH T9E" ToS = “Y°3a°S 266° = OSD
(29692 °T) (9Z89T*2) (T66ZE°2)
(Aor - AL& - AdNOP) * 6TZ920° + (dr x (T-)dr) * BZ0" + 2°20Z6E = Adv39r
$39I¥d LIN3IYYNI-3JINVMOTIV NOILdNNSNOD IWLIdVD 3LVAIUd (AdVvIF)
- S0T -
"22g
“Tes
“02S
“6Ts
“STS
“ZTS
“9TS
“STS
“ors
“e1Ts
"ets
df 7AGAL = GAL
S39IUd 2261 - 3WOINI 3F1GVSOdSIG (GAM)
AGAAYS® % YSNAGAr = AGAr
wr we ew ee me ee eee ween
S$39IUd IN3YUND - AWOINI 3J1VSOdSIG (AGA)
VSNAVIS® - SNANVULT + VSNALT - VSNAdUNOS = YWSNAGAL
(YSN) S30Iud IN3UYND - SWOINI J 1avSOdSIG ( VSNAGAS) AVIIAVSF/AVIIC = VSNAVIIC
(VSN) S49Tud INJYYNI-JINVMOTIY NOILdWNSNOD WWiIdvd (YSNAVIOF)
- 60T -
“92S
“Ses
“$2S
“ees
NVULAVSS/ANVULE = SNANVULS
(YSN) 40193S BIVATad OL SUIISNVEL ANSHNUFA0S (SNANVULE )
- ASATAVSC/ANIIC = VSNAOSIC
CVSN) S39TUd IN3YEND - IN3WLS3ANI G3XI4 IN3WNY3A09 (YSNASIIF )
df x S4IF = AQAIC
$33Iadd IN3SYUND - IN3SWLSSANI G3XI4 LN3WNYRA09 (ADSI)
ASSVSC/ADF = VSNASr
$339Tud LN3NUND - SAYNLIGNAdX3 LN3WNY3A09 (ASF)
S8/> ‘:QG31VWIISI 25 = GON % Z296T OL 2B 2261 * 39NVU (2) 822° = OHN 992° = SHI NV3H 610° = “u'3°S 609° = OBSUD (29866 °4) (28426 ° 9) <b * 98920" + 20 *% GbbLE0° + (809T°9) (sS408" ) (80T2Z°2) '(909292"°) TO x 28G250°" + JAULF * BTSZOZ" + AMLr x% £56822" + S226Z0°" = VSNAdNOP/ALS
$39Tad AIN3UUND ~ 3ONNFA3Y LNSWNY3A09 WLOL (ALP)
o2>°0 7WNS 2£29°0 020°0 (s-) 2£29°0 0+0°0O (o-) £29°0 190°0 (z-) 2<9°0 T80°0 (2-) 2£29°0 Tot’o (T-) 2£29°0O T2t’°o (0o-)
AVLS-1 143099V1 ovT
s8/ *G31VWILSS eG = +S 286T OL %D 696T *FONVY (6°T) 282° = OHY 98°6600T = SHIT NV3W pe <s0T = "u°3a°S ZT6° = oBSYD
(99989°9) dOdr * 60TZbL° + (df/ OOT/TUF *% 2/CCT-I1)dONE - CIIdGONF - CT-1)L8309r + (1)18309F)) .* T43099V1 +
(22985°9) >°Ts0bl- = dC /ANVULS
YOLIIZS 3LVAIUd OL SU3ASNVUL INSWY3A09 ( ANVULT)
337]
"22S
"ISG
“ors
“62S
“82s
“Lea
Y4O1L33S LIN3SWNY3ZA09 °S°I'r
- OTT -
4d309f * S2°O + (T-)1La309F = 1La3091"
41930 IN3WNU3A09 40 NOOLS (1499097) *9E9g
ANVULE + Air - ASSIF + ADF = 43091
SISV@ VIN - LI91330 LN3WNY3A09 (4309F) °*SEG ALAVSF/ALP = VSNALI*
CVSN) 3NN3A3Y INSHNYFA09 TWLOL (YSNALT) «6° oSS
- tt -
(T-)MNC + MNGT = MNT
HLYOM 13N (MNF) “65S
MNG4VSP 3x VSNMNOC = MNOS
C3LVa ATHLB) S3ITed LN3YYNI-HLYOM LIN NI 3ONVHD (MNO) = ‘“9S9
(CVSNAVISF - VSNAIIC + VSNAdJIC) + CVSNALT - SNANWULT + YSNASSIC + YSNAST) + ANVULWE - ANVULXT + ASOWS - ASOXP) x S2°O = YSNMNGP
C3LVa ULB-VSN) S39TUd INJYYNI-HLYOM 13N NI 39NVHD (YSNMNOT) «6° ZS
HL1V3M GNV SONIAVS 3LVAIYd °2°I'r
- 2qt -
T<8°0O WS sT9°0 960°0 (<-) 066°0 ost’o (2-) 0b0°2 652°0 (T-) O<t’t 90<°0 (0-)
ivis-1 143039V1 svi
28/2 :Q31VWILS3 9f = GON %D 646T OL TD TZ6T *3ONVY (YN) 90TS° = ZOHY (WN) £Z2g° = ONY WN = SHIT NV3N 90T° = “Y°a°S f° = BSD
(82°) (200°2) <b * SZE9Z0" - 2B x T2Te90° + (oeZe°) To x Ts0sTO” - CCCCII9S % CIVANOXdS/CIIIIC % (I)IdMdf 901) * T4S3039V1 + (T° TOT) CINSOWF + 93IF - OF ~ dNOrF)9O1 * T + £292°2T- = (C Id] % ANSXd3)/AC3X 1901
(°S'°N $) N¥dVf OL SLUOdX3a SGOOD “WN CACAX) = ° 26S
408°0 WAS T¥6°O 29t°O (<-) £e2°T 2b2°0 . C2-) TIT"? Ty2°O0 (T-) 299°0 SST’Oo (o-)
dvVis-1 143039V1 ovl
28/2: Q3LVWILS3 92 = GON % 6Z6T O1 TD TL6T *39ONVU (VN) 922° = ZOHA (VN) 9922" = OHY VN = SHIT NV3N TSS" = “Y°da°S 4° = sud
CCCCIVIID x% CLIANNXdII/CIIIIC % CI)IdMdf 901) * TAZ0I9V1 + (2°SZT) CINSOWr + 943IF - Of - dNOT)SOT * T + 6S982°TT- = (C139 x% ANSXdd)/ACIXIS071
(°S°N $) NVd¥fF OL SLYOdXI SGOOS NVIGYNVD (CAFSX) = TS
oeT°O- — FWAS
0<Z°O 220°0- (<--) OSt’T TbO0°O- (2--) 00°2 $90 °0- (T--) o2Tt°T 990°0- (0--)
dviS-1L T43039V1 - SVT
28/S = :QALVYWILSA) 62 = GON % OG6T O1 TD SZ6T *39ONVE (WN) 66° = OHY VN = SHT NV3W ZTO° = “Y°3a°S G6" = ODSUD
(8Z°OT) (Tz°OT) (S9°%) <b x 9T822T° - 2B x ZOBLZET° - IB * 266450" +
(80°98) (dN9F 901 + (CC T-I)df/CT-1)T3aC/CT-1)22110d0)901) * TA3R0I9V1T + Tz@oe"6- = (103F 3351
ANNOIJIV INSYUND “IT'S
- <It -
zoe°0 20s :WNS
089°0 622°0 (£-) 029°0 Le2°0- (2-) 0<2°0 Ts0°0O (T-) os2°2 022°0 (0-)
AViS-1 14309901 Sv
29/2 4 :G31VWI1S3 Sf = GON 20 6261 OL TO OZ6T *39NVU (WN) 2628" = OHY WN = SHIT NVBW 2OT* = "4°3°S 289° = BSD
(8%S° ) <b * Z20TO" -
(62°T) (57) 2B * S3E0° - TR SbBO" - (CC IIANSXdI/( 1)I3C x (L)IdMdl)901) * T43099V1 + (Lo) (60°S) (dNOP- 901 * 8066Z'T + 692E°ST- = (ANSXAI/AIFW)9OI
SAIYLNNOD IWIYLSNGNI WIN NON WOU SLYOdNI SGOOS 3S3NVdYWE CAICW) “SoS
926°0 WAS OLT°2? T90°0 (Z-) og2°2 ZOT°O (9-) Odvd*2 S<Tt°O (s~) 0£9°2 %ST"O (9-) o1e’2 sst°o (<-) 029°2 ToT "0 (2-) OtZ*T 2tt’o (T-) £1Z°0 690°0 (o-)
iVis-1 143039V1 svi
28/2 «= :GALVWI1S3 06 = GON 4D 6Z6T O1 TD cet = JONVY
(VN) ££09° = OHY YN = SHT NV3W 640° = ‘u'a‘S 998° bsud (26°T) <b * 62z50° - Cts") (<0°S) 2B * 29600' - TB * $8580" - (CC I)AMOXdI/(I)I3f % (I) IdMd?)901) % T43020V1 + (98°9) (2°) (dNOF)9O1 x HTTOZ*T + T986°TT- = C(ANOXdV/ATFH)IOT
68<°0- 0<S°0- 7 WS VN YN LoT'T <0T°O- (9-) YN YN O2<'T SST°O- (z-) 49%°0 22eTt‘o- 00s °T 9ST‘O- (2-) ges"0 SsT‘Oo- O<T’T 80T*O- (T-) 405°0 Oott’o- £40°O 600°0- (0-)
L1V1S-1 243099V1 ivis-1 143099V1 svi
28/5 98 G31LVWILS3 2S = GON Dd O86T OL re 896T_ = JONVY
(YN) 2562° = OHY YN = SHIT NV3W 890° = "Y'A'S 99° osyd (20°) (6T°T) (sTZ° (CCT dWODdFN/(TISYNXdNISO1) % 233099V1 + <b * 9£2850° - 2B * 68250" - IB * 628<TO" -
(o°) CVNXSGAGN)S01 * S52689°" + COCCLIdl % CIVISCI/CIIANSXdNISOT) * TAZOIOVI +
(¥8°2) (£222°2-) CdNOP 901 x Z2e8TSZ" + L9S6T*L- = CANSXdN/ACNX 1907
C S°N $) NVdv¥rF OL SLYOdXd SGOOD “S'N (AFNX) “£bS
- ott -
$8/o ‘:G31VWIISA 16 = GON 8 286T OL ZB 096T *F9NVU
2oe°T = MG 662°T = SHIT NV3SW GZT° = ‘4°3°S 66° = 5SuYO ~ (8992L°2) T2620 * G6bLZbE° + CoTTye°T) (S222°S) C2ets°9T) (LZ862T° ) To2Z0 * 669222" - (T-JAPIX % SHBOTS” + AIK * TE6G68° + L29500°- = AICW
CALTIN30I-ISyND) (°S°N $)- VOVNVD WOUS SLYOdWI SG009 3S3NVdYr (ATW)
$8/> ‘Q31VWILS3 06 = GON 28 £86T OL £B O96T *3ONVE
(T°T) 22T°- = ZOHM (£°2) £28° = OHNY G6Z° = SHI NVAN 9ST° = “u°3'S 356° = sud (£9040°) (T06%8°T) (2-JAFIX * IZ08d * 685Z29°T - (T-JAraX * Iso0ed * Tsosee’ + (y0%bS°2) ; (82622°2) ($6969°9) (Te2T26") Ar3X * Ik08d * £2HGs6° + (1-)APIX x T90LZ5° + ArIX * ZTESO°T + T92980°- = A3CW
(ALLIN3ZOI-ISVND) (°S°N $) - “AM 3HL WOYS SLUOdNI $0009 3S3NVdvr CAIMW)
S8/b wae et tsa 98 = GON 8 Z286T OL TB T96T *39NVE
sse°T = by>°6 = SHIT NV3H fheb° = °Y°S"S 666° = BSI (20225°2) (TS282°T) (S£<T°9) ; (z<29°2T) 12920 * SSSOT°T + TToZq «x ssozes’ - (T-JAPNX % LZST6S° + ArNX * Tz9s8Z° = ANH
CALLIN3GI-ISvne) (°S'N $)- °S'°N 3HL WOYS SLYOdWI SGO0D 3S3NVdv¥r CANN)
waaorwr + Yar x ATOOWS = AOCW
ew mm er wm we ee we nn ee eee
(°S°N $) J3dO WOU SLYOMWI TIO (AOFW)
S8/> ‘G31VWILS2 8 = 5D 286T OL 2B £26T 2 39NVU (z°S) 689° = OHY Tr°OT+e = SHT NV3W ese" Tzt = °"Y°3S°S T66* = OSUI (£806 ° 92) (s99<°T) (O00T/83F/1I0d0 * » * BSAVG * TOONS) * £2226" + o0s°T2s = A10SwWr
CALIINIGI-ISWNS) ANTIVA - SLYOdWI 110 (ATOSWS) waz10SWr + BSAVG/(10SF)130 + Tor = 109Wr
(G@N) 3HNIOA - SLYOdWI 110 (TO9NF)
- SIT -
“TSS
“OSS
"60S
“LS
“90S
(TS68T<° ) 2d * 210600"
ANSWdC/ASWC = SWE
SAIIUd 226T - SLYOdWI SGOO9 3S3NVdY¥f TV10L (OWT) “259
SW3ar x* GASWE = ASNT
SISV@ dO@ - SLYOdWI SGOCS 3S3NVd¥f TVLOL (ASNT) °9959
S$@/y ?Q31LVWILS3 98 = GON Dd 296T ty 2b 196T :JONVY (9°S) 992° = QHY S8E°25 = SHIT NWSW 22°T = ‘Ua 666° = OobSYD (200° 902) (26>5°T) (ALCW x YU4IIC) % 5986° + L£282b°- = GASWr
(ALITLINIGI- ~IS¥ne} SISV@ dO@-SLYOdWI SGOOD 3S3NVd¥r WWLOL (GASWE) “SSS
AUCH + AaCW + ASPW + ADCW + ANCH = ALCH
(°S°N $) SISVG 100 - SLYOdWI SGOOS 3S3NVdVf TVLOL (ALCW) ° 55S
AZCW + AOPW + AICW + ATCW = AUCH
T°S'°N $) G1TYOM 40 1S3Y WOUA SLYOdNI 3S3NVdYF (AUCH) ess
z
£TZ°0- : oTe°0 390° 0- (s-) 6%6°0 960°0~ (>-) OST ’T 92T°0- (<-) sts*T S>T°0O- (2-) oTo'T TST °0- (Tt-) 262°0 S>T°O- (0-)
41VIS-1 T1T43099V1 . 9V1
S8/p ‘G31VWIIS3 > = GON 4d Z96T OL 5B IZ6T °39NVU
(9°2) 882° = OHY SE9°OT- = SHT NV3N S80" = ‘4u o S 29° = oSHD (T806<°T) <b x ZTIbs0" - (8hd02° } TS * ZTZOTO” + CCCCLILIIC % CIIdPI/C1INIS % CIJANSXd9)901) % T43099V1 + (6260°T2) CANS I901 + T9Sb°TI- = ((839 x% ANSXd9)/A9FWII01
(°S°N $) ANVWYID WOU4 SLYOdNI SGO09 3S3NVdv¥r (ADPW) °259
- 9IT -
_ ANEXdr * OXC = ASX
S39Iud 2261 - S1Y0dX3 Sd009 3SSNVdVF WW1LOL (9XxP) SX3C/ASXF = GASKET
SISVa@ dO - SLYOdX3 SGOO9 3S3NVdYl TWLOL (ASXM)
<G31VWI1S3) 28 = GON Ib <86T OL gb. T96T =JONVY
S8/b (9°2) $62° = OHN 9TZ°6> = SHIT NWSN 2I8° = "u'” T= osyd (22g "Ses ) (z2Z920°T)
ALFX * 896986" + 20zsst’- = gAoxr
ALIIN3GI-IsvNd SISva dOd-S1LYOdX3 SGOOD 3S3NVd¥f WLOL (GA9XP)
AUrX + AIPX + AOPX + AIX + ANCX = ALCX
‘199
“09S
“6SS
$ado009 40 SLYOUXa “a II
- £1T -
GAAGSWP - GAASWE = GAAOSWE
Se te ee ee ee ee ee eee neon
C°S°N $1) SINBWAVd SWOINT IN3WIS3ANI (GAASHT) 6° 29S
‘AdOSNE + ASOSWE = AOSHE
Seen eee en eeeoowe fee cee ne wee meme eee
W101 - S39IAUaS B3zHLO 40 SANOdHI (AOSHI "99S
$6/> ‘Q31VWIiS3 249 = GON $B Z86T Of TB 9961 *39NVU (T°ST) T98" = GHU O5E°2 = SHI NV3N 650° = ‘Y°S°S 666° = BSD
(T09@0°T} £0 *% S6Z2TTO" + (8T%E2°T) (56%298" ) ($9602°T) (ob56l9°2) 20% 4T62TO" - Th * 606800" + (SWF ISO} % SO6TS" + (MINIT /AM4dsde)/do 901 * LOS69S" + €zS9Zz0°2) (261T90°9) . CAN9C13501 * T9SSS°T + =8=69SbE°ZT- = (CMABIE/ ddd ZAdOSHE 901
PS wwe ee ee ew Cee mee ee mmo eee een ew em
SZIIANIS Y3HLO 4O SLYOdWI 3LVAIYd (AdOSWF) S99
$8/> ‘G3LVMILS3 04 = GON 8 Z296T OL °° oi 7et 7 39NVa (2°) Tee” = ONG Tot’ > = -SHT NVBW 5° = °4'3°S = SND
£STLO° OT) €92VBT*6) (AGA S01 * £02526" + E£1908°9- = FCAMNVUIWE 907
See mses eeeeeeme eww eee en wm semen -—
BRVATUd. - SLNIWAVE 4agsnves C AGN} "99S
260°0 _ tes°o wns 002°0 900°0 2oZ°T £90°0 (<-) sso°O 9T0°0 gz0°s O2t°O (2-) 269° 826°0 <TZ°OT 6ST°O (Tt) 1Z9°0 290°O <ez°2 s8T°O (o-)
AVLS-1 23303071 dvis-1 143059V1 vl
> : 31 VWI1S3 +e = GON 4) Z96T O1 %D I96T *39NVU
9. (£°<2) 2G" = OHN 90° = SHI NV3N 800° = "Y°3°S 984° = BSUD ; (82566°2) COOT/CIISUr) * 243099V1 + (OOT/CIIM1SSUSF) *% T43099V1 + GZ2STO" = d14°-7AGNASHE
(°S°N $) SINSWAVd SWOINI INSWIS3ANI LOSYIGNON CAGNASWE) °599
S8/> ‘Q31VWI1S3 69 = GON 48 2986T Ol 48 S96T : JONVY £0%°2 = MO LEz*2- = SHI NVSW 992° = *Y°3°S ZTO° = odSUD
(9292Z<°T) ; (CT- JdNSdf/dNSdf 501 * & * E2Z2E2°T + (29920°T) (L99S0°2) : (NIFISOT * 29906S" + 692490°S- = (CAdNSdf % TOLTES )/AGASHE 1901
(°S°N $) SINSWAVd SWOINI IN3WIS3ANI 19394IG CAGASWE) 8°29
SSSSSSSSSSSsSSSsesSsssrtesssssrsssssscses=
SYR4SNVUL GNV S3DIAU3S 4O SLYOdWI “D° IIS
- SIt -
Y3aC/GAAGSWE = AGASWE
(°S°N $) SLN3WAVd 3WOINT IN3WLS3ANT 19380 (OAAGSHE } @msdf/1Gligr « S2°O *¢ (T-)TGLIeF = Taller SUINSIZNOS OL SZILIVIGVIT INBWLSAANI 1LI3NIO ( TLTEF)
ASNVULLWT ¢ ADNVUIME = ANVULNE
S325Ued INBwIND ~- SISVG VIN - SLUOdNI CAINSOWE }
ses TG31VMTISS 240 = GON $B ZE6T OL 2B T96T *39NVi Ix9°T = MO B°TZ60T = SH NVI 98H'SLZT = UZ'S Ts OSU)
(£00°669) ss (Z2STS6°) ASOWT = TOTOO'T + 9665°92- = SAINSSWE
CALLINIGI-ISYNB) (VSN) $39IUd ANINENI-SISVG VIN-SLYOdNI ( SAINSOWE)
S$8/>o_ ‘:Q31VWILS3 O02 = GON Id £86T ot <0 S96T *3ONVY (£°2) 999° = OHY S9°88S6 = SHIT NVBH 260° 66T = “Ua 966° = bSYD
(2£00°99) (STTZZ°T) (df /ASWE + SWE) *% 2OBBT6" + <2S°8Ze = SNINSSWr
W1LOL - S3DIAUIS JO SLUOdWI (ASHE) YaC/OAASWE = AASWE
SIN3WAVd 3WOINT IN3WLSSANI (AASWE)
- 6IT -
“L449
“9LS
“Sd
"2lS
“TZS
“02S
"69S
"89S
Yar/GAAOSWE = AGNASHT
(N3A) WLOL - S39IAUIS YURHLO 4O SLUOdWI (GAAOSWT) °8ZS
- O2T -
GAAGSXr - GAASXf = GAAOSXT
(°s'n $) W101 - S3JDIANIS Y3HLO 40 SLYOdX3 (GAADSXT)
AdOSXf + ASOSXT = AOSXT
WLOL - SJDIIAU3ZS YIHLO JO SLYOdXZI (ADSXT)
$8/> :Q31VWIIS3 249 = GON dD 286T OL re 996T *JONVU
(S°IT) Sze" = OHN £S52°2 = SHT NVSW Sb0° = “Y°3S°S 66° = SYD (6TZ90°S) (SZ0259° ) (6£90T°2Z) (9S222°9) <0 * £60220" + 20 * £99600" + TD * 8G2250° + (9X )501 * B9Leel° + (oS929°S) (220S2°2) (629°) ( dNSdf/MAN Se /Midsr SOT * 192968" + (M4dN94C 1907 * ZT8S°< + 826To’6- = ( dNSdf/AdOSXP 19071
S3JIIANIS YZHLO JO SLYOdXA ALVAIYUd (AdOSxXE )
S$8/> ‘G3LVWILSS OZ = GON 5D 286T OL 2D S96T = 39NVY
(S°T) ZZT° = OHY 606°S = SHT NVSN S8ST° = “Y°3S°S T26°* = BSHI (L9Z29°S2) (TOSS °ST) (Msuar/Middar x M4dN9SCI901 * 80ZZ9°T + 6S9SS°l- = CANVULXP 907
ina) nN “ o & ”
o
al
+
\o
Lan
w
~
o
°o on fantom tan tan tan ton OCANMPUON t)rrrpbrrvees wee ewww wwe
AVLS-L 143029V7 ov |
S$8/5 *G31LVWILS3 O08 = GON +8 286T OL 5D 296T *39NVU
(>°T) SOT" = OH Zb50° = SHIT NVSW 800° = “¥°3°S 428° = BSI : ( T2085" (OOT/( I MD4ASHIC) % T43039V1 + 90STOO°- = d34C-/AQNASXC
(°S°N $) S1dI393¥ AWOINI LNAWLSIANI LOZMIGNON ( AGNASX? )
S8/> *Q31VWILS3 TS = GON 9 286T OL TD OL6T *39NVU
(2°) 620° = OHN TEe2°s- = SHIT NVSW 252° = “¥Y°3a'S S09° = OSHYI (6ZT26°o) ( £98825" ) ; <0 * £ZTSlb° - 2b x OT6T4O" + (6%b22°2) (T29T2") (T8S902°T) TB x GOGO2Z° - (MD4ANIACISOT * LEH95T° + S9965°s- = COM23N3Sr/943dN9d4de * IGLTACS)/AGASXL 901
C°S°N $) S1dIFIIN AWOINIT INSWLSJANI 193YNI0 ( AGASXP)
“£98S
“28S
“Tes
“oss
“62S
SUJISNVUL GNV S3ITA83S 4O S1UQdX3 ‘Q°II'S
- Tet -
43aC/QAAGSXr = AGASXC
(°S°N $) SLdI3DIN AWOINI ANSWLSSANI 1939NIG ( GAAGSX&)
(DJ4dNSddC/M9dNSC) * DOLIOF * GZ°O + (T-)90LTUr = JaLTer
SU3NITIYOI NO SWIVTD IN3SWLS3ANI 1939NIG (9017ar)
9X3ar % GANVYELXC = ANVULXC
(°S°N $) S1dI3939uN YSSSNVAL COANVULXC)
INX3VSC_ %* SNINSSXC = INSSXC
S$39Iud 226T - SISVG VIN - S1LYOdWI ( INSOXC) AINX3VSC % SAINSSXC = AINSSXC
$33Idd IN3YUND - SISVG WIN - SLYOdxX3 (AINSOX& )
S8/% ?G31VWILS3 28 = GON +d 286T OL 2D T96T *39NVU
2£06°T = MO Z°EeSST = SHIT NVSW £22°05E = “Y°3°S 666° = OBSYI (ZIT*TSe) (T9TZZ<E°) ASSXF * 69200°T + L606°T2- = SAINSSXC
CALILNIGI-ISWNO) C VSN) S39Idd LN3XNNI-SISVG VIN-SLYOdX3 (SAINSOX& )
S8/> :Q31VWI1S2 OZ = GON — Tb £86T OL £dB S96T 2 39NVU
(9°ST) 698° = OHN 8° SSbdT = SHI NV3W TS6°9TS = “Y°3°S 966° = BSYD (9T0Z° 92) (8869°2) (CdP7ASXF + OXF) * LT6Z*T + 92°O0222- = SNINSSOXr
(VSN) S39IUd 226T - SISV@ VIN - S1YOdx3 (SNINSOXP )
ASXf + ASXf = ASOXC
SISv@ dOd - SAIIAN3SS ONY SGOOD 40 SLYOdx3 (AS9XT)
Oxar x CGAAOSXF + GAAGSXC) + ASOSXC + AdOSXf = ASXC
WLOL - SADIAUIS JO SLYOdX3 (CASKET) aar/GAASXC = AASKC
SLdI393Y SWOINT INAWLSIANI ( AASXE)
- 22T -
“£69
°26S
“T6S
“06S
“68S
“Ses
“28S
“98S
“S89
war/GAAOSXF = AGNASXf*
C°S°N$) SldI3IIU SWOINT LN3SWLSSANI (OAASXf)] °S6S
- £2T -
S39Iud 2Z6T - (SISVd VIN)
war/aqivaunor = IWwauanor
JINVIVEA LNNOIDV LNAYNND ( IvaYNor )
war x CIVaNvair + Ivasr + Ivaor) = aivaunor
(°S°N $) JINVIVE LNNODDV LIN3YNuND Ca lvayUnor )
€Y3C/COWAC/ANVELWE - GANVYELXC) = TIWaNVvaLle
JINVIVE LNAWAVd YS4SNVUL (TVENVULE )
INSOWr - INSOXC = INXLINC
SADIAWAaS ONY SGO09 4O SL¥OdX3 LAN ( INXL3NT) Asowr ~- ASOXF = Tvasor
S3DIAWaS GNY SGO0S NO JONV IVa ( 1vasor )
war/9war/CSWar * ( GAAOSWr
+ GAAGSHE) + ADOSWE + AdOSWE) - Yar/9X43C/( 9X3 * (GAAOSXT + GAAGSXC) + AIOSXF + AdOSXT) = Tvasr
- $2T -
Sa2IAWaS NO JONVIVE (C1vasr)
war/CQASwr - GASxXr) = IWwE9r
“209
“T09
“009
“66S
“86S
“L6S
°969
SAINVIVE “AIT
air + twe = 2H
Nvd¥r JO WNVE 3H1 40 31VY ANNOISIO IIDISIO (Gur) = 6° 809
agar + andr = Tw
TW - AlddNS A3NOW C(twr) =° 209 aig + agar = Lar
$1IS0d3d 1V.1OL Caar °909
$8/5 :Q31VWI1S3 S9 = SON 2d £861 Ol 2D 296T *39ONVY
g2e°T = Md 610° = SHIT NV3W TO" = “Y°3°S £245" = BSYD (<>eee°2) (v2bb"s) CCT-)SUF 901 * 98OT9IO® + (sur 901 * 894690" - (90Z2£9S° ) (222880° ) (o<T98°2) (CT-)aLur 901 * Gz09z0" - (GLUT )901 * SGZbb00°" + ((Cdf/AdNOP )907)130 * Te9Z9E° + (6Z6TT*T) . (£>62S9°2) (28662 °2) (£9bG5°2) . £d x G8ZS00°" + 2b * 9T6TTO” + TOD x 69STO° - 850690" = ((d¢/01LF 1907)130
SLIN3GIS3Y A@ G13H SLISOd30 3WIL (GIF) °S09
S$8/> ‘?Q31VWILSI 59 = SON 2d £86T OL 2D L96T *F9ONVU
(3°29) S6° = OHY 6TO°OT = SHIT NVAW 220° = "Y°3°S 686° = O8SUD (L69T°2) (629°T) (SYr 501 * O£8590° - Cdf/AdNOP 901 * GLT62b° + (Sz<eTe°6) (82Z9Tz°<) (92ZTz"2) (£29<2°T) <b * £99550" - 20 * ££2220°— - TO * 652610" - £8T0b°S = (de-7aar )so1
SIN3GIS3Y AG 13H SLISOd3d GNYW30 (ddr) 09
S8/b :Q31VWIIS3 9 = GON 20 <86T Ol 2b wn eete * JONVY (8°22) 956° = OHH Sb2°S = SHT NV3N 220° = “4°R>'S osyd (y89999" ) (60688 °2) (SUF )5907 x%* SOSETO” - (d&/AdNSP 501 * G6bb59° + (Tys2°05) (£992 °<2) (S259 ° 02) (6oTS29° )
<£D * 5£6S56T° - 2D * 22862T° - TD * ¥SE8oT° - 2oGSl°T = (df-/48NSr 1501
ALVATdd - SLNSGIS3Y AG G13H AINIYUNI (UNI) °<09
LOWIVW IWISNVNIS IILS3WO0 “III'r
- S2T -
Adwe - SUC 3STT O N3HL O 11 ASUUT - SUr 4I = ZAgur
Adar AG ANIVA G3YIS3IQ (ZAaar)
(GUrMr - T)exsur x GNrMcxxdur = Saur
sur any aur 4o 3OVURAV O31HOI3M (SO"r)
CC9~ SUF) SOT * £0°O + ((S-)SYFIDOT * GOO + (1 5-)SUC)90T % 60°O + ((£-)SUFIDON * IT°O + ((2-)SUCIIOT * HT*O + ((T-)SUFIDOT * ZT°O + TOZe°T = (THU )901
Jive LSIYZINI 39VOLYOW 3OVUFAV ( THUS) Cvardvdr - T) x alar + TWardvdr x War = Tar
S3uNLN3G30 YNVG NO G13IA (1ur)
28/S =? G3iVWILSA 19 = GON 9 O86T OL SD S96T *39NVU
29°T = MG VN = SHIT NVSW £60°2 = “U°O°S 226° = OBSYD (S2°s) (TO°2) (T-)1ur x* Tz009° + (ITOZG * Sur) x ZTHOT" + (622°) (69Z°T) (T<°T) (29°S) sur x Gb<ZTO" + (IT02G * GLUr) x HEZ2T" - Glur x T8TST" + 26296°T = aver
S3YNIN3430 WNVG 4O NOILINNS AlddNS 13N V WOUd - S3YNLN3IG30 WNYE NO G13IA (altar)
(9-)sur x G0°O + (S-)SUr * 60°D + (%-)SUr x TT°O + (£-3SUF x OT°O + (2-)SUT * ZT°O + (T-JSUF x 2°0 + » = VIE
Sur JO 39VY3AV INIAOW V SV - S3YNLNAG30 YNVG NO G13IA (V1er)
S8/>b =?031LVWILSA Tz = GON + SZ6T OL TD 896T *39NVY
(£°S8T) 2b6° = OHY 99%°8 = SHIT NVSW 292° = "U°S°S 626° = BSD (S9022°<) (b028S °6 ) (S9T69°T) Jur x 28000" - aur x TIeG<°T + boOLTZ°2- = sur
S3AN3S3a 33a3 GILYSANI - A3NOW 11V3 NO 31VY LS3YSINI (Sar)
S8/> :Q31LVWIIS3 569 = GON 2D <86T OL 2D L96T *39NVU
(>) 62>° = OHY 268°9 = SHT NV3W ZS0° = “Y°3S°S TI6* = oSHYd (ZT¥TO°2) (S69T9"s) (882639°S) (CT-)df/CT- 310035907 * (20 x T699Z° - 2b x SLITE2" - TO x T2Z862° - (29b8°2T) (9>289°9} (990bb°<) (29682 °S} (ST622°T) s9eel° ) + £0 x $9268°S + 20 * 94E2E°2 + TD x I9TST*S + 46b2T°T- = (de/aanor 3901
“919
“SsT9
“oT9
"£19
“2T9
“119
“O19
°609
S3iVa LS3UZINI GNVY YOLIIS INIWNVE JLVAIYd “a°IIi'r
- 92T -
(0OT/33Sr x JASUUT + OOT/OLC * (VLUUT x Vier + Sluur x SLar + WLUUr x Wear + TLuur x 1Ler) + OOT/Gar « (vauur x yaar + sauur x« Sagar + WaYNUr *« WaEr + Tawar «x 1der)) * TO°O = uur
S3AUN3S34 G3YIND’Y (uur) “619
QO 3S13 T N3HL O 63 ZAsur AE = QASAOC
SL1ISOd30 N3A 3344 NO STIOULNOD HOA JTEVINVA ANNNG (GASAGr) “ST9 GLUF 39713 ZASUr N3HL GLur 11 ZAdur AT = ASU
SLISOd30 N3A 33¥d NO 31VY LSINBINI YOS AXOUd CASI) = *ZT9
- Zt -
dasar - LASIC = dONC
NOILISOd INSWNYSA09 13N (dONT) 8 °229
dur - Xar = Ur
SYNV@ ASNOW LTSOd3d NO SHIVT9 S3ILIMOHINY AUVL3NON (aur) = "129
gunor + unor + sur + war + HLor - dONf - SVANC - = 0
S3AN3S3aN 33Y4 AOA SNIATOS ~- 133HS JONVIVE WNVS TVYLNSD (5ur) = 6°029
S3ILIYOHLNY AUVLSNOW °I° III'S
- S2T -
$8/o ‘:G3LVWILSJ 25 = GON 68 286T OL 2B 2261 2 39ONVU (9°S) 549° = OHY S66" = SHT-NV3H £20° = “4°3°S 266° = SUD (T96T9°%) CT- )MAASXd4r % SOLETE* + (£T<09°2) (T922e°2) (86226 °T) (29209°T) MHADXdde * SGGbbG" + T2o20 * 628640" + TT52G * £02550" + ££9620° = COANDWdr 3901
a we ee ee eee
(°S°A $) XJONI SATIVA LINN LYOdWI (GANDWd!) °929
S$8/> :G31LVWILSA S9 = GON Td zeer oe <£d 996T_ * JONVE (£°T) 2ZT°- = 2OHY (8) Z2OT°T = OHH %TO* = SHT NV3W TsO° = 26° osud (62905<° ) (Tse08<° ) (69025°T) £0 % 5T2Z200° - 2B * 266200° - TB x 022600" - (68560°T) (21s9<"<)
6226S0° - (CT- MLAXdSF/CT- Tar 3% (T- WOddl)901 * *eOZss" - (WOddr }901 = CANSXdr )907
XAIGNI ANIVA LINN 18Y0dXx3 CANSXd) = °S29
$8/> ‘:Q31VWIIS3 IZ = SON 2b £861 OL £d S96T_ 2 JONVY (9°06) 696° = OHY 902" = SH1 NV3N 6T0° = “u°3"°S 966° ssud
SsTs0° 8) (T52T66°) {WOGdl)S01 x Lagat" + 66960T’- = (IdMde 501
X30NI 3928d J1VSIIOHM ( TdMd{*) “929
2T0°0 S>S°0 7 WS SZT°T - €00°0 VN VN (e-) T6s°2 =00°0 YN YN (2-) OZ °s <£00°0 906° oT2°0 (T-) 9<2°e@ 400°0 20°S szz°O (O-}
AVLIS-1 . 233039V1 > dWis-L 1430391 ov"
S8/> ‘:G3LVWILSS 92 = GON Dd 286T OL TB SZ6T *39NVU T9T°T = MG S9S° = SHT NV3H 900° = ‘Y°3S°S 866° = osy2
(oe<T°62) (968TZ2°) (896929° ) (299200° ) (996b5°T). 9TLZbl°< <b % 082000" + 20 * ££0200° + TD * 90-386658°2 + NOT x 29600" - CCCCCTIYNING 3S13 SO - 3JOO00000*T N3HL O 37 (I)YNOAF 4I ) + T)901 * CI)dF 901) x 243099V1 +
(<6929°2) (2S95@5° ) ( TIONHd? 19071 x 022020" + (13F/2Z110d0)901 * STZ400° + ((C1)MP)901) * T43099V1 = (dr)907
S33Iud “V°AI‘S
AlddNS GNY S39IUd “AI'r
- 62T -
0=
Cz-Idf % (T + OOT/dX3d~) = Td
32Va NOILVIANI GV3SHV Y3ALYYN® JNO (Tdl)
(fexZ8°O = TT OL CY WAS/OO® - PIdNSdC/O0D - PIANDdC - € CIdNOdT) % C- )3*28°O * O STT- = TIWNS * OOT = dX4df
ASVUSAY ONIAOW - SNOTLV1949dx3 AUVNOILVIANI (dX4df) (WOGUVHSS/( CINSONdS 901 * CWOGNVHS® - T) - (df )I901))dxX3 = WOddr CSLYOGWI LNOHLIM) 390ed IILS3WOd YOs YO1LV1I30 (woddr)
CCLTIF/2Z110d01901 * $41892°0/( boT892°0 - T) - SbT892°0/( INSSHdS )901)dxX3 = TIONNdS
SLUOGNI VIONON € TIONNdS )
SNINSSHE/SAINSSNE = INSSNdD
SIsva VIN - YO1V13490 LYOdWI CINSONdS)
dNOP/AdNOPr = dNOdc
4OLV1430 1INGOYNd TIWNOILVYN SSOUD (dNSdo) TaC/QANOWNdr = ANOWde
X30NI 3NIVA LINN LYOdWI CANSWNdS)
S8/> ‘Q31VWILSA 29 = GON 206 £86T O1 ZB OL6T *39NVU
80>°2 = MQ STO" = SH] NV3N 400° = "¥°3°S 2T8° = osyd (S6640°) <b x 699TTO" - (99862 °T) (6s0ST°T) (6TbO° oT) (8Z8z2°2) 2B x O£TSOO" + Td x ¥8zs00" - (Cd )901)130 * <<e896° + S8S2500° = ((Id3dd)901)130
CALILN3GI-ISWNO) X3ONI 391Yd A3BWNSNOD (Td3de)
- O&T -
“9S9
“<9
"229
“Ts9
“029
“629
“829
°L29
§8/> ‘G32IVWWIISI 9 2 GON Td £96T OL sO %L6T *3ONVY (8°£) TOS" = OHN 8Z4°>- = SHIT NVI 400° = “4°S°S 886° = B8SuD
(95296 °4 (x642To") (9%0S42") =: (98226 °S)
£B *« STOQS00" + zb x 969200° *¢ TS % G09200° - <fOze6°T - (208€2°9) (se0s'°T)
BWIL * 619900" + (Cdxr * NIFI9OI - (9BE'TIZ * OOOT/S9E x 1097901) x 220050" + (81899°2)
(Cd IP * NIFIDOT - (98E"TIZ * OOOT/S9E * OOF - INSOWF)NOT) x 9OTOTI® +
(6085 °£T) (CdaP 3% N9FI9071 - CH * 3IFI901) % 286682" = (de * NIFI907 - CINSOWT + dNOF)901
G3NYOM SYNOH ATHLINOW 39veaAV (HE) “829
<2T°O [WAS sts°2 g20°0 (z-) sTs°2 2<0°0 (2-) ste°2 2<0°0O (Tt-) ste°2 g20°0 (0o-)
dVis~L 143039V1 svi
S8/> ‘:G31VWILSA O08 = GON + eet OL re £96T = FONVY £96°T = MG 96S5°8 = SH1 NV3W 900° “was 66° = BSUS
(TZ22T°8) (CT-)37F 9907 * 229699" +
(2oeTe°<) (98902°2) (COTS % CIDKEISO1) * T43039V7 + SHIL * 5TZ000° + 99620°T = (317F 907
See ween me meee were en wo ween ne
(CSUINUOM DOCOT) ANBWADTAGNA (310) = ° 259
S8/> -Q3LVWILST 62 = GON 28 £86T OL TD S96T *39NVU
£8" = MG Z60°T- = SHIT NV3N ZOO" = ‘Y°3a°S %TO°- = aSUd (996£60° ) SWIL * 90-392282° - ((£- )dOdf/( £- 31901 * GO°O + (206 °6Z2)
(( 2- )dOd?/( 2-370) 907 * T'O # CC T-)dOdP/(T- Y317 501 % 2°O + (dOdf/31F 901 * £°0 + 98950'T- =
(dOdf-741F 1907
(SNOSU3d OOOOT) 3DNO4 YOAV] (47%) “959
S8/p ‘GaLVWIIS3 25 = GON. 20 <86T OL vo. ocet *JONVa
(9°2) Toe" = ZOHY (%°%) 865° = ONY SSb°S = SHIT NWBW 269°2 = ‘uy’ a°s 8sus _ Co8T89°) . . NNT x 2>62Z20°T- = dX3df - (%-)MC/00T * ((%-)ME - Mn)
SNTUNLIVANNYW NI 3ivu JSVM ATUNOH (MI*) = °S=9
AN3WAOTdWA ONY S39VM “a°AI‘'C
- T&T -
OOoT * JIF/NIC = NAC
3Lva IN3WAOTdNANN (NOT) = *T49
aw - ar = aw
(SY3NYOM OOOOT) LN3WAOIdNANN (NIC) *Ob9
(9926 ° ) (£6ZZTd* ) (920G22° ) (98226°S)
(sd x £T8b00° + 20 x 965200" + Td x 909200° - <£0286°T - (Zoe<l°9) (28509 °T)
SWIL x 4T8900° + ( (df * °OOT)ISOT - (98E°TIZ * OOOT/S9=E * 1097 )901) x 420050" + (8T8S59°s)
[Cdr x °OOT)IDOT - (98E°TIZ * OOOT/S9S * 1OIF - INSOWC)9SO1) x 9OTOTT” +
(608 °<T) (Cdr * °0OT)90T - CIT°SO2 * 47173901) * Zeb682° + (df * °00T)9071)dx3a + INSOWE - = 1OddNSC
(NOILYNOA HE NI G3LVWILSA SIN3JIIIA43909) dNO WILN3LOd (LOddNOF) = *° 659
- eet -
€ 280°O + OOT/dX3dr - (OOT/IHUT) * CAULF - T)) * (s0°O - T) = Yar
TWILNJGIS3Y - WiIdVI JO 1SOD YASN CYSNIM)
CIANLF - TI/C90T*O + OOT/dXddr - (OOT/ Tar) * CIAMLF - T)) % CUNINVUSr - daGoar x DJAMIF - T) = YNONr
IWILLINIGIS3YNON - WWLId¥I 40 1SO9 YSN CYNDN*)
(S°s2 % COOT/IUT) * CIAMIC - TIIZE(S°S2 * COOT/IUT) * CCDAMLE - T)-))dX3 - T) = d3dG93F
MIOLS WAIdVD WIISAHd JO NOILVID3Nd30 JO ALWYN (d3093")
o/TIr + (T-)IDW = ID
ANIWLSIANI AYOLNSANI 40 WOOLS CII")
udir + UNG = dar
MIOLS WLIdVI JLVAIYd SSOYUS (dy)
S*Oxx(b/ Z9090T°O - T) * b/YUNdSIC + (4/Z25090T°O ~ T) * (T-JUNdT = UNG
TWLINASGISSYUNON - NOOLS IWLIdVI JLVAIYd SSOUD ( YNdwI) S°Oxx (4/29Z580°0 - T) * 5/adsdsICF + €5/292580°0 - T) * (T-)dwe = Yar
WILN3GIS3SY - NOOLS WA1IdVI JLVAIYd SSOUD (Yd)
((LOddNOP/dNOP 90717130 = ((NIF)907)7:0
"669
“Bb9
“L£b69
“969
“Sb9
“2b9
"obo
S¥O01S. WLIdV way aNY ALIDVdVD °D°AI'L
- £&T -
war/Cataiiar - adaltar) = gyaqLir
13N - SWIV1D 193uIG Waal SNOT NI JONVHD (8yGL1F)
yar7ataijar = 1aL10a¢r
SUY3NITINOA OL SATLITIGVIT INAaWLS3ANI 193uIG NI 39NVHD (10L10r)
ywar7asaitar = saL tar
SYaNSTaNO4 NO SWIV1D INBWLSSANI 1343uId NI 3ONVHD (D0L10r)
2oe°2- 680°0 =WOAS Sz2°T £60 °O- Se" T00°0 (OT-) Sz2'°T 980°0- oS8°s £00°0 (6-) Sz2°T 62T°O- oS8°< 400°0 (e-) Sz2°T <£ZT*O- Se" s00°0 (Z-) Sz2°T 9T2°0- 9S8°< 200°0 (9-) 8z2°T 692 °0- ySe"s 800°0 (g-) 8t2°T 20¢ °0- S98" 600°0 (o-) 8z2°T soz °0- G8" It0°0 (<-) er2°T Ses °O- >S8°< 210'°0 (2-) Sx2°Tt Tzb°O- $S8°£ <10°0 (T-) sz2°T $L>°0- SS" sT0°O (o-)
divis-1 243099V1 divis-1 1T43099V1 Sv
$8/> *G3LVWIISA - 59 = GON Dd 286T OL 3” 996T *JONVY (T°6) 992° = OHYN b22°T = SHI NVAaN TO9° = “U°d Tees" = syd
. COCCI ISXdMON % (I )dIMONITAG) x* 243099V1 +
(69TSZ°2) ( £02880" ) CCI)MAdNOAGS) % T43039V1 + Tz<zL0 x 8OZO<°T + 600%S0°- = qoaLtar
LD RIVW TWIINVNIS TWNOILYNUSINI *A* r
- o2T -
“£99
"2g9
“TS9
*“0s9
86S°0 220° T82- Tze°sTt sWNS
c6T°2 s>0°8- 9L2°T 68S°22- YN VN (s-) S86°0 <£10°O 89o°2 268°2e- 060°0 0+8°0- (o-) 20S °O0T TZ0°0 Sob°h S6T°2>- 260°0 <9T°T (<-) £T8°9T 62T°O 9L6°S 865° TS- bob°0 99T°s (2-) 696 °2T Z8T°O 22'S 008° 09- 2Ty’0 69T'°S (T-) 620°TT so2°0 292° o> <0T°OL- = z2°0 2zt°l (0-)
AViS-L £43039V1 dV1S-i 233099V1 divis-1 143099v1 ovl
S8/> -G31VWILSS 69 = GON % GZ6T OL £B 296T *39NVU Tee°t = MG £2°2OS2 = SHI-_NV3H %62°602 = "Y°3°S T66° = dSUD
CCLIASWE) 3% £43099V1 + CCLIMISS8AC) % 243099V7T + = (CC I)SGUF) * T43099V7 +
(98T<2°T) ( 26208" } (£Z95T*2) (s28ZS°2) I2z2G * TOv°SE2 + 1z0Z0 *% 90E2°S6 - Ivvo9d * 102°9242 + 686°IS9 = Talsir
SU3INSTIUOI QL S3ELIVIGVIT SNIDINVE HURL LYOHS JO NIOLS ( TdLSF)
O2E°OZE sans
STZ°T 6T2°92T {o-) 190°T Tx6°<S {<-) 224°0 £S2°22 (2-9 £22°0 296 °2< (T-) To<’Tt Tz<° oe (0-3
AVIS-L 1430390V7 ov
S8/> ‘GaLVWILSS) 24 = SON TB e86T ote TB S961 =39NVY
(9°2T) S@° = OHY £Z2°O88y = SHIT NV3N 905°62S = £86° = oSYuD ($b20°T) CCIIMI4SUSF) % TAIOIOVI + (T-)GUNF * Szz°BLZT. - (oTTZ2°T) (£T662°T) (£9292°2) (T98TT°T)
aur x TZ2*202 - Addn * GZ8040" + (T-)ASX % 9ZTOTE" + 62°892T- = JaLsi*
siz°o 96T°O 22T°s *WNS o0s*< 220°0 YN VN YN VN (9-) 002° 2<0°0 VN VN VN YN (g-) 006° s+0°0 VN VN 005°2 sTt2°0 (o-) 002°S 990°0 . 002°0 400°0 00%°< Tzo°0 (<-) 003°» 6£0°O 000°T 420°0 000°S 069°0 (2-) 009°T $20°0 000°S 690°0 009°sS >v8"0 (T-) oot‘o %00°0 00<°4% 60T°O 006° S>0°T (0-)
iV1S-1 £43099V1 AiViS-1 243039V1 1V1S-1 143039V1 ovl
28/2 2G3LVWILSS 62 = Td Leet Ol Td OZ6T *39NVY 6T°T = MG WN = SHI NvaN $1S° = °Y°3°S 466° = OSYD
(CIIGASXP) * £43099V1 + (CLISTaNOdr) x 2430991 +
(2°9) (9°8) CCCLTar - CII@aW)) *% T43099V1 + Yar x MNT x 829EzZ0° + 62068°9- = Gt3di 1
3LVY SNTLVONS - (°S'N $) SWIVID O11041YOd WY3L SNOT 4O WOOLS (OTIdL1F)
(dX3NSd4ar + MdSYST - dX3df - SUP) * £0°O + ((T-)TdP/( T-)TdNSd4de 901 = (M4u3r 907
°299
°999
“GS9
SMO14 1VWLIdvV) Y3HLO “G‘A'r
- Gxt -
% x (Taisr)13d = TaLS0r
ee ee ee Ce re ee ee er me ee ee ee em ee ee ee eee ee
SUSNSTSYOA OL SATLTIIGVIT SNDINVE WSL LYOHS NI 3ONVHD (TELsdr) °299
> * (3a1SfF)13ad = JaLsar
SUINSTAuO4 NO SWIV19 SNDINVE Wai LOHS NI SONVHD (981SEF)3 °999 (T-101dLY + O/(HIOLIGr + Qidaitar) = adi c°s° “A $) S3TLTVWEVIT 031041404 waa SNOT 40 Y3IOLS ca1dLr) °S99
war/7Caiditar - Gadit0r) = adyXsr
LIN - SWIVTID OL1OILNOd WUSL SNOT NI JONVHD (addr) °499
war/didligr = IWditdr
S311 11avI1 OT1WOsALNOd WYAL SNOT NI 39NVHD (CIdildr) “£99
yar/aodliar = IdLio¢r
SWIV1D OIT04LNOd WHSL SNOT NI JONVHD (CIdiTdr) 299
® * (G9dL1F°91740 = dddL14r
(°S°N $) SWIVID OFIO41YOd WY31 SNOT NI JONVHD (d9di10r) “199
GosdlIr + GTIdLIF = GddLIC
(°S°N $) SWIVID OITIO3LNOd WYAL SNOT 3O NIOLS (GddLIF) °099
sauwr - @Nagltir - aweunor + Sv4anar - = dvV4Nndqr
(ALILNSGI dO@) - SMOTSLNO JLVATYd LAN NI 39ONVHD (d¥4N0F) °6S9
S8/> *d31VWILSI Ob = bo SZ6T ote 50 S96T *JONVY (8°>) 229° = OHY ZOZ° = SHI NV3W beets0: = "ua°S Gs6° = SYD (TZ0¢E°T) (9929S °T) GASAGr * S9ZGST" + asIqyosr * 662900° - (62899°<) ; (9zbTZ°T) ; (2999 °0T) (20228"6) M1SSHudr % GZEESO" - Adar x% GO%OZO” + MN * SZ5TOO" + Zo06T°Z- = GAleisr
(°S°N $) SLTSOd30 N3A 33ud (GATALSS) °8S9
- 9&T -
Misar = » * (>ULSf)130
SYINIIZNOA OL SITLITIGVIT SNIINVENON WUSL LYOHS 4O IOS (LST)
ease + a@dddr + OGNVAr - dV4NOr - = »LSOr
SUSNSIINO4 OL SATLITIGVIT SNIANVENON WYAL LYOHS NI 3ONVH? (>LLSGr) yalsor - JaLs0r = @@iisr
43N - SYSNSTIYOS NO SWIVTD SNDINVE WAL LYOHS 40 NIOLS (anise)
~ £&T -
“029
°699
°899
uar7auowar = OWS
$/N3A - 3LVY NOISUSANOD LYOdWI COWSE) °929
war7eexar = 9xXar
$/NBA - 3LVY NOISYZANOD LYOdx3 (9X3F) = °SZ9
<<00°O * I3ar = 43ar
(N3A/$) - X3Z0NI 31va JONVHIXA LOdS (13ar) “29
GS°OxxUar x SZ°Oxx( Y39/UIC) % LT°Oxe( U33/NIC) = MIMIC
SWIV19 NOIZ¥O4 AG G3LHSIIM - JLVa JONVHIXS (MI4SNIC) =“ EL9 (59° O/T deel T2° Oxx( MAO YIC) % 2T*Onx( UII/UIC) * 60° Oxx( YI9/UIP D % £2°OxxUSr) = MSN3IC
ALIIN3ZOI - 3LVea JONVHIXS AVYSAV GSLHOIIM (Yar) “229
S8/> :Q31VWILSA 988 = GON Ib s86T OL TO T96T *JONVU
(£°9) 999° = OHU 2S<°T = SHI NVBN £0°2 = “Y°3a°S TIS’ = BSYd (1965°L)
TloZa * 6STZ°bT + (68888 °§:) (STSETT* ) ; (6<TeSs° )
TbeZ0 * 68429°. + (CC CSNSP/ASHS )/OLSVANC) * T9B8ZE8° (ANDXdP/ANOXdN - I3C) * £668E°9 - (>6229°T) (Sb6Sz°5)
£0990°> ) x LVO1SC + ((OWAC/ASNS /OLOVANG) x 6S88°TT -
(924220°T) (86559 °2) (ANOXdP/ANOXdN - I3C) x LEZG°OT + v0O8>°S = as1auosr
ANNOISIO JONVHIX3 GUVMO4 HLINOW 33YNHL (ISIGYOAT) = “TL9
SdIHSNOILV13Y JLVY JONVHIXA °D°A'C
- get -
wusr + WEar7OATaLsr + Yar7aidlir + Wise = der
SUHINIIZNOA OL SAILIVIGVIT O1VOILYOd WIINVNIA (ddr)
waelsr + War x JGLSF - GIL = AdI4r
(°S°N $) SM3INDI3ZO4 NO SWIVID O1IOILYNOd IWIINYNIS (0d940)
Sv4anr + DJaLSF + YaC/0IdL IF = ddAr
SY3NOIINOS NO SWIVID O1104140d WIONYNIS (d3o4e)
agar + avouasr + QSV4NF = GLOVANT
(°S°N $) FAV WA INI LAOS 3H1 40 SLASSV NOIZNO4S LAN JO NIOLS (GLSV:INT )
S8/b *O31VWILS3 26 = GON 2d £86T OL 2D 096T *39NVE (8°) £S>°- = OHY TOO’ = SHT NV3W GZ0° = “u°a°S T2e* = Bsyud
(92960°9) (T-)G09V4NC x €3LVUNGSF)140 x Z2TIs0z° = (GAr 3130
(°S'°N $) SLASSV NOISNOS LAN JO NDOLS FHL NO INAWLSNFGV NOILVNIVA CAC)
(T-)aSV4NrF + S7a9V4NGr = GSV4INC
C°S°N $) JNAWNY3A09 3H1 40 SLAISSV NOIZHO4 LAN 40 YDOLS (a9v.ANr)
(T-JSVANF + %/OVANGr = SVAN
ANSWNYIA09S 3H1 JO SLASSV NOIZNO4 LEN 4O ADOLS (9VANT) war x OVANOF = aSv.4Nar
AN3WNYAA0S 3H1L JO SL3SSV NOIZO4 13N NI JINVHD covanar)
S8/b *Ga1VWIISS 62 = GON 2d O86T ot. 2b <£Z6T > FONVY
626°T = MG 09° = SHI NV3H 4ot’L = °u'3a°S Tes’ = BSuD (68d¢5° 5) (T-)G9SV4NF * bbZ65°T - (Z982Z°") : (6Z£92°S) (S90TO"<) SWIL * ZTZ8698° + (uar - COP8ar = O fs- = FIWNS * G2°0) x G°TzG0e - beS8L°Bb- = aSv 4nar
C°S°A $) INSWNYZAOS 3H1 40 SL3SSV NOIFNOA LIN NI FONVHD (adv4Nar)
SINAMAVd 4O JONVIVE ONY NOTINSANSINI WIIISIO “IAC
- 6&T -
*S99
“£89
“299
“T1389
"089
“629
“829
°L429
<£4°0 * SUN + 9F°O * SUD + TZ°O * SUa = MTSSUdr
SS°O * SYN + 92°O x SUD + ZT°O * SUR = MOASUIC
SLHSTIM G3XIJ-SALVY 1LSAYFINI WU3L-1S J9VYZAY NOI3NO4 (M4SUsr)
T9O8E=T ° Oxx( TAD % AMDXdI) * 1268902 Oxx( 133 x ANOXda) * LZOEZE°Oxx( 13D % ANIXdD) * 9HBSGS*OXXANSXAN = MLAXddr
SLHOTSM LYOdX3 G3XI4d - SAIIIYd SLYOdX3 3NVUSAV NOIZNOS (MLsAXd4e )
(GANSWdr) SOT * AZLWHIMS + (221I0d0)901 % AOLWIME + CAMOXdI)SO1 * ALLWLMT + (ANOXd1) 9071 x* ATLWLIME + (133 % AN9Xd3)901 * ATLWLIMe + (139 % ANOXd))901 * ADLWIME + (139 % ANMSXd3)901 * ADLWIME + (ANSXdN)901 * ANLWIMS = MNA9Xddr
SLHSI3M LYOdWI G3XI4 - S3ITUd LYOdXa JNVUSAY NOIZXOS (MNAOXdAr)
(59° O/T )xx(T2°OxxdD % ZT*Oxxda % 60°OxKdD % £2°Ox*dN) = M4ddt
SLHSI3M G3XI4 - YOLV1S90 NOILdwyOSay J39VYSAV NOIZNOS (M4dsr)
SS°OxxXNIN * BZ2°OxXXNID * ZT°Ox*XNDT = MOANIIC
SWIV19 NOI3YO4 AG G3LHOISM - “TLIN ALIDVdvD 39VYSAY “YOs {M94N34F )
(439 x AdNS9)130 x £S0T°O + (434 * Add93)130 * 6£262°0 + (HAD x AdNDII190 * 1990°O + (AdNSN)I190 * T989°0 = M4dNOsar
(°S°N $) SLHOI3M G3XI4d - dNO NOIANO4 NI JINVHD (M4dN9A0F )
(dIMOU)907 * 89Z°O + (dNSD) 9071 x ZIT'O + (d093)901 * TET°O + (dN9IN)I9OT * 8S°O = M4dNOIC
(°S°N $). SLHOISM GAXI4d - dNO NOTAYOS ANVYFAAY GSLHOISM (M4dNOIC)
SS°OxxdNOdN * 82°OxxdNOdD * ZT°OxxdN9dd = I4dNOd4der
(S39VaaAV Q3LH9I3M) SAT@VIUVA NOIZNOS “IIA
- OOT -
“S69
“£69
"269
“T69
°069
"689
“889
“289
“989
(£- IMSdNSddr o% CT + OOT/dX4SNSddr) = TdNOdscr
4YOLV14390 dNO NOIZXOA JOVUSAV G3LIFIdXT (TdNidsr) ° 869
(bee Z8°O = TT OL O = WH) WNS/I(S ~ FIMIdMNOdSF/00% - FIMAMNDdIS - CF IMIAGNOdSE) 3% (F-)3eeZ8°O = O STI- = FINNS * OOT = dX4N9dsr
G3SV@ dNO -NOILVIAINI 3ordd NOIIYOS GILIAdXS (dXANIdsF) ° 269 (82220° T/T deel LLOZZE ° OXHMNOdS % 268902" OxxXdNOdT * T9SBET*OxdNDdD * HESS’ Ox*XdNDdN) = M4dNOdse
(°S°N $) SLHOISM G3xXI4d - YOLV143G dNOD NOIZUOI JOVUSAV G3ALHOIIM (M4dNOdde) °969
- ToT -
SL2°STT- o9T°O *WNS YN YN 808°2 $20°0 (s-) VN YN ObL°2 8<0°0 (>-) VN YN TO9°2 zb0°O (z-) YN YN gl2°2% 8z0°0O (2-) Sv6°T S2y°Se- slo°T £20°0 (T-) S>6°T ose°9Z- s20°0 T00°0- (0-)
AVIS-1 243039V1 iV1S-1 1T43099V1 ov
S87 ?G3LVWILSS TZ = GON 8 286T OL TD S96T = 39ONVU
(T°O2) 926° = OHY £TZ°S2 = SHI NV3H 269°T = "W°S°S fb6° = OSUD (£Sz82°T) 2bb10 * T900ZL°T + (((T-1}dd9NNd130) * 2435099V71 + (2e922°Z) (2S6TT'S) NIN * 46698" + (CC T-1}dNSNI130) * T43039V1 + S2TS°6%- = (T-)0dIN * SZ9SZT°O - Ad4sIN
S49IUd ZZ6T --JNAWLSSANI IN3WdIN®a JIGVUNG SSOUND 3LVAIYd (dd4IN) ‘TOL
65T°0 =: WS
Tb6°< 0s0°O (T-) Td6 “< 660°0 (0-)
ivils-1 T43039V1 ‘SVT
S@/> :G3LVWIISA <2 = GON 2D £86T OL TD S96T :3ONVY (%°20T) 896° = OHY Ts6°22 = SHIT NWSW 29Z2°2 = “Y'A*S 296° = OSD
(42698°S)} oT x% (T-)YINN * 9GS02°S - (CIJGAN) x% TAZOIOVI + (Ts99°5) (2S200°<) ((2-)adIN x 6F8Es0°O - (T-JUdsIN) * 99605" + v68°ZTT- = (T-)YdWN * 6E8E20°O - Ad4sIN
S4a9IUd 2Z61T--INIWLSAANI WWIAN3GISIY SSOUD ALVAIYd (dddIN) *O002
280°T WS Sze"? sIt’°o (z-) 00s" TT 022°0 (2-) 689°9T <2z°0 (T-) 00°38 92>°0 (0-)
divls-1L 1T43099V1 v1
S$8/> ?G31VWIISI ZZ = GON 2B <£86T OL TD 496T > 3ONVY
(2°>T) 628° = OHY £29°9 = SHIT NVSN 400° = “Y°3°S 866° = BSUD (82ze2°=2) (¥S99980°<) ((CI)GANISO1) * TAIOINVI + ((1T-JdX4adN - (T-)SUN) * BVTZOO”" - HLZT69°- = (9n)9017
$39Iud 226T--3YNLIGNAdXI NOILdWNSNOD S3LVAIYd (9N) °669
301s 1vau JILSaWod *130O0W °*S°N
- 2oT -
dN x* d4dIN = AdJIN
S$33Iud. LN3JXYNI--FUNLIGNIdX3 NOILdWNSNOD 3LVATYd (AN)
Y3ZAdNON + INSOIWdN x INSOWN - INSSXdN x INSSXN + (9N + TIN + ddIN + IN) * dN = AdMNON
$39Iud LN3YYNI--LINGOUd TWNOILVN SSOUS ( AdNON)
Y3dNON + INSOWN - INSSXN + 9N + TIN + djIN + IN = JNIN
820°0 “TNS
909°99. —- 800°0 [s-) 809°99 9100 {2-) 809°99 £20°0 {T-) g09°99 Ts0°0 —S—si(0-) 4vis-1 143099¥V1 -9V7
; S$8/> ‘Q3LVWILSS I8 = GON 20D £96T OL TD £96T *JONVY (6°6T) ST6° = OHY 292°SST = SHIT NV3W 996°T = "Y°3°S T= ObdSYD
(6£9TEZ°S) (CCIIdN * CT-1)dN)) % T43099V1 + S80T°O2- = AvYIIN
$331ud LN3IYUNI--JINVMOTIVY NOILdGNNSNOD WWLIdvVI (AVIIN)
QdJIN + SdjJIN + YdsIN = dJjIN
S33IUd 2261T--LNSWLSIANI G3XId 3LVATYd (ddIN)
£90°O *WAS 9ZS°T 600°0 (-) 6TT*2 9T0°0O (e-) To0°s 61T0°0 (T-) 662°T 610°0 (o-)
ivis-1 143099V1 svi
S8/> ‘:Q31VWILS3 IZ = GON 8 2986T O1 Tb S96T *39NVU (T°2) 2G2° = OHY Té6T® = SHIT NVSN ZS8T°T = “Y°a°S ST&° = oSYD
C(TO<60°T)
(CT-)Sd3NN) 130 x GSeGe°bs - (C€T-I)dN9SN) 130) * T430990V1 + (22029°2) (22beT°T) . CNIN = 1)1430 ¥* 6T2602° + 1260962°- = (CT-)SdINIT3G ¥ 900990°0 ~ (Sd4dIN)130
S331dd 2Z6T --SIUNLINULS S.YIIMNAOUd NI IN3WLSIANI SSOYD JLVAIUd (SddIN)
- £oT -
“ZOOL
“902
“SOL
“>0Z
“£02
“202
OOT * (CT - dxx€CT-)dNSN/dNON)) = dNOHIdN
$39Iad 2Z6T--3WOINI 3JTavSOdSIa (GAN)
Adéu4aaAn + AVION - AODLNIN - AISN + ANVULN + ALN - AdNSN = AGAN
$391dd IN3YYNI--S3WOINT 3J1GVSOdSIG (AQAN)
dN/AATIN = ATIN
$391ud 2261--SAIIYOINJANI WHV4 NI J3SNVHD (4TIN) dn x* IIN = AIIN
$3918d INIXYNI--ANSWLSIANI AYOLNSANI 31VAIYUd (AIIN)
- bbT -
"ETZ
"etd
“TZ
“OTL
“602
S8/> ‘:QG31VWIISA 465 = GON 2D S86T OL 4D 696T *FONVY
(8°9T) 288° = OHY TIS’ = SHIT NVAN 00° = “Y°S°S 6£8° = OHSUD (£6>T8°2) (Sz8T6°9) (88TTd*<) DAULN * 650602" + AULN % G2LLZ6E° + <<S82T° = AdNON/JALN
(SidI393u XV1 1V301 GNV 3LVLS 034) 3NN3A3Y IN3WNY3A09 CIALN) = “STZ
oto'o = WAS 062°0 000°0 (s-) 09°T 000°0 (b-) 028° 100°0 (g-) 009°6T 200°0 (2-) O<T St <00°0 (T-) 00S *6 400°0 (0-)
ivis-1 143039V1 Sv
SZ/T =?Q31LVWILS3 99 = GON %D SZ6T OL. TO 296T a
(0) 922° = OHY VN = SHIT NV3W 2TT° = “Y°a°S 256° = . (sZ°) COCT-I)VONN % S°Oxx*C T-LIGITUN % G°Oxx( E-IITSUN)) % TSIOIOVI + SOzZZ0°- = AdusdAN
1140Ud 3ANSS3N Wusdss (AdeysAN)D “LTZ
G8/> ?Q31LVWILS3I og = TD <86T OL we. £96T > 39ONVY (T) 60T°- = OHY TST’S = SHI NVI tso" = uw T= o8SYd (69° ZT8T) (Z6TST*) ASASWN * SOOOO*T + 09Z000°- = SS.NIN
SYSNSIFNOS OL SINSWAVd 1LS3YS1NI INSWNY3SA09 (S9ININ) = °9TZ
s8/y -Q31LVWILS3A og = GON _ Ib <86T O1. TD £96T = 39NVY (T°6Td) 466° = OHN £2°ST = SHIT NVSW <bE°T = “Y°3°S 886° = BSYD 2/CCCT-)VGNN - (T-)La3a09nN)
(T92<S"=) + VONN - 14309N) * OOTY ((2T/(FIBITIN = O STI- = FIWNS * 9°O + TSUN * 6°O) * T2Ts6sg° +
(2TSe9Z°2) S426°9L = AdusdAN - AION
SIN3WAVd 1S3Y31INI LIN3SWNYSA09 (AION) = “STZ
S8/> ‘?Q3LVWILSI 06 = GON 2D S86T OL 4D 096T *39NVY (S°TST) 86° = OHY 695° = SHT NVAH 920° = "Y°3°S 666° = BSYD
($9269 °5) (9/00 dN 2 O fE- = CIWNS *% dOdN)I9O1 * SGO0T'T +
. (85086 °2) (69ST°02) : (9/70 dN 2? O fE- = TIWNS * OOT/4IN * NNNISO] * B69TST” + S9zTb°9 = CANVYLI 507
YOLISS 3LVAIYd O1 SYSISNVUL INSNNYSAOD CANVELN) =“ >TZ
YOLITS AINSWNYZIAOD “a I'n
- GoT -
(T-)18309N + 674305N = 14309N
193d .INSWNY3SA09 (18305N)
ALN - ASSN + AISN + AYASN + ANVYALN + AON = 43G9N
S$331dd IN3YUND --(1VI01 ONY 3LVLS G34) LISIASG LN3SWNYSA09 ( 4309N)
ASVELN + JALN x* ALVYELN = ALN
(1¥301 GNY 3LVLS 034) SASVHIUNd INSWNYSAC9 (ASN) CASNVYELXN * ONVULFN) - = AYASN
SYANOTIYOS OL SYSASNVYL LNAWNY3ZA09 (Aud9N)
- 9T -
“eed
“22d
“Tez
“O22
“6TZ
(T- MNO + MNGN x S2°O = MNN HLYOM LAN 3LVATYd (MND) °S2Z
dn x IN - AGAN = MNGN
HLUOM JIN 3LVAIUd NI JONVHD (MNGN) =“ b2Z
HL1V3M GNV SONIAVS 3LVALYd “3°I°N
- LoT -
N i—J M °o 1
9eb°T T00°0- (Tz-) 266°T TO0O°O- (0<-) 999°T 200°0- (62-) 259°T 200°0- (82-) 222°t £00°0- (Le-) gze°T 400° 0- (92-) TS6°T 400° 0- (S2-) 620°2 s00°0- (y2-) Ge2°2 s00°0- (<2-) £6=2°2 900°0- (22-) ses"2 900°0- (T2-) ZT9°2 200°0- (02-) 680° 800°0- (6T-) ST>"< 800°0- (8T-) <T8°s 600 °0- (ZT-) 02° 600°0- (9T-) 9T6° OTO°O- (sT-)
°S oT0°0O- (oT-) 629°9 Tt0°0- (<T-) £TZ°Z TTt0°0- (2T-) $2L°8 2T0°0- (TT-) 022°6 <10°0- (OT-) 698°3 <£T0°0- (6-) $06°Z yT0°O- (8-) 262°9 $1T0°0O- (Z-) 862°S sTO°0O- (9-) S86°b sTO°0- (s-) 9Zz°b 9T0°0- (o-) ste’< 9T0°0O- (<-) 00s ZT0°0O- (2-) 2S0°< ZT0°O- (T-) £ZZ°2 sT0°O- (0-)
-lvis-1 143039V1 svi
S8/> ‘:Q31VWILSS 65 = GON 8 296T ote TO 896T ?FONVE
(9°2) 65° = ONY £02°> = SHT NVAN 220° = ‘W'a’S 296° = O8SUD (ZLZTLE°S) (69S9°ZT) (2222°9T) (£9%69°9) TIsZQ * SSTTZO° - dx ZOH8TT’ - 20% E2eEzT° - TOx Bb8T9I0" +. (62Z2T°0T) (<2e59°s) (CCI )dNOd1’C 1 )34IMdN)9O1) * T43099V1 + (NON 1901 % 26566" + ZOT@S*2- = (973N)901
(SALE) NOILdWNSNOD ASYINA JLlv9sE99V (IT1SN) “L222
686 °0- 196°T WAS Tt9°0 <T0°O TZ9°% T<Tt°O (Z-) 9b2°0 800°0 TZ9°% 622°0 (9-) 9Z<°0 >T0°O- 129° 462°0 (s-) 929°T <90°0- TL9°% Ze<°0 (>-) Zee" 60T “0- IL9°b 2e2<°0 (<=) 2g5°8 28T°0- TL9°b b62°0 (2-) 9128°S £22 °0- TZ9°% 622°0 (T-) blo" oss *0- TL9°% T<t°O (0-)
4ViS-1 243099V1 ivVils-1 1430995V1 ov1
S8/b -QSLVWILSI TZ = GON 296T 1. TO S96T > 39NVU (6°>) 264° = OHY G68°S = SHIT NVSN 220° = ‘Y°a°S BB6° = HSUI
(26TZT°2) CdNSNISOT * 2ees9°T + €C CCI )d@9dN/C I) TANSWdN) * CIISSTYVINISON) x% 2430991 + (CCT-L)AIddNSN/C(T-T)AIddNSGT + (T-I)ATddNS9I))901) * T43099V1 +
(Tee2e°s) (G69T2°S) (22Z062°¢) CANNSGAGN)5071 * 940006" + CCT- ININ/CT- JOTMINIAN SOT * 9OE0Zb" - GOTZ°*9- = (14NSWN 507
$39Tud 226T--SLYOdWI SGO09 13N4-NON JO SWNMIOA CTSNSWN) = °922
ANNOIIV INININI “ITN
- @oT -
052°0 s00°0 (8-) 990°0 200°0 (t-) 96T°O 200°0- (9-) 029°0 S20°0- (9-) OTd’T 6%0°O- (%-) 6S2°2 T80°0- (%-) 9L49°< O2T°O- (2-) £90°< 99T*O- CT-) Szs"2 6T2°O- (0-)
divis-L1 143099V1 ov
28/> 4 :G3LVWIISS 25 = GON %D O86T OL TH 896T *39NVH
(2b6°>) 2909° = OHY WN = SHI NVBN TIb0° = “N°3a°S Té* = SSHD (60°OT) (88Z2°T) (be°5) <b * ZOZ2T° - 2b * STSb20° + TD x 892250" -
(29°) ((N33)901 * BBS°O - (dNDD)ISON) x 966LTH” + CCCIIGN/CI)IID %*% CIJANSXd3)901) * T4IOIOVI +
(TTZ°62) (dN9SN)SOT * S°T + S2T6Z°S- = (C133 3% ANDXd3)/ANIXK)901
(100) °S°N OL SLYOdX3 SG009 NVIGYNYI (ANDX)
38/9 *GalVWILsa ZZ = GON %D 296T OL TD S96T *39NVU
5L48°T = MQ 820° = SHT NV3N 995° = “YES 622° = BSUD (ybl2e°s) (TSUN -— CT - dexe( CT-)TSIMdN/14IMdN)) * COT) * OBSHOO" + (2zote2°Z2) (8T6ST*9) ( £9285") (80882 °<) <d x 280988" + 2B x 6028SZ° + TO x TIssss° - 9b8z82Z°- = SNISd14N
(VSN G@H) JLVAIYd--SNIGTING AIOLS TIO (SN3Sd14N)
9T6°S <98°Z “WINS VN VN ¥86°s 6392°0 (1Tt-) VN VN ¥86°E SZ>°0 (OoT-) VN VN ¥86°s 859°0 (6-) VN VN ¥86°s 82Z°0 (3-) VN VN 986° 4938°0 (Z-) VN VN 986° 206°0 (9-) VN YN 586° 206°0 (s-) VN VN 586° 498°0 (>-) 400°0 400 °0O- 86° 8ZZ°0 (<-) 19S°0 885 °0 86° 859°0 (2-) 826°2 SZZ°T $86 °< sZb°0 (T-) 656 °T 299°¢ $86°S 6392°0 (0-)
iviS-L 243039V1 Avis-1 1T43099V1 sv
$8/5 ‘G31VWILSA TZ = GON os 296T oe TO S96T *39ONVY (8°6) S@Z° = OHY 60°¢S = SHIT NV3H 226° = “U°3°S TO06° = BSD
COOL) 14 IMdN/CT JONIIMdN S01) * 243099V71 +
; (68ZS99Z°) (69T6°OT) CCCI) V4 IMdN/(CT )34IMdN)ISOT) x TIZO0ISVI + C(NINISOT * 299GS°E - 2B * STob°2 + (£2902 °6) (eSTZ9°S) o2TD" ) (ee2ce"<s) 2b x $998b°2 + TD x Bs80s*T - TTtoZa x tszees" - €&T6°S9 = DTAN/TANLGN % SNITIN % OF
CVSN GG) NOILdWNSNOD 110 (SNI14N)
- 6bsT -
“Osd
“622
“S2Z
Can © ee et 1
OTZ°T TIt’o- (y-) se2°2? 86T°O- (z£-) Soe" 092°0- (e-) Tve°9 662 °0- (T-) 0s2°2 <Tz°0- (0-)
AVLiS-1 1T43099V1 ov
S8/> ‘:G3LVWILSS <£s = GON %D 286T OL 2B HZ6T 2? 39NVY "32°S bb6° = BSD
(2°) 89S°- = ZOHY (9°S) 698° = OHY 9TZ°6- = SHI NVAW 650° = °Y"S (8z2To"2) (ST6S%°2) <b * SObSE0" - 2b * 856840" - (5S992°9) Td x £bz200T° - (€LOddNSC SOT + COCIIdNZCIVISF * CIVANOXde)901) * T43099V1 + (Th96T"S) (22ly"oT) C9TIZ" 2) CAIIN - IIN) * BT2200° + €dNONISOT * GZGG8°T + b29b°S2- = (€1ar x ANSXde)/ANCX)IO1 (100) °S°N 3HL OL SLYOdXa SGO0O09 3SINVdWF CANFX) “eel eL2°T- 9T8°T- “WINS VN VN T20°9- S2T°0- (6-) VN VN 602 °9- 6T2°0- (e-) VN YN 22L°9- £982 °0- (Z-) VN VN 6S °2- 9Tz°0- (9-) VN YN 92b°S- stz*o- (s$-) VN VN 68T°OT- 062 °0- (>-) VN VN £92 °6- Tz2°0- (z-) VN YN G29°<- 2oT"0- (2-) OSZ°T- £<98° O- ots*o- 220°0- (T-) ooTT- 625°0- 2et't 62T°0 (0-) AVLS-1 243099V1 AVIS-1L T430I99V1 ov 28/75 =? G31LVWILS3 2S = GON 8 O86T OL TD 896T *JONVY Z0°2 = MG WN = SHIT NV3SW 680° = “Y°3S°S TIL" = OSHD (CCI )dWOId9N/(1II39 * (IIANDXd9)901) * Z43099V1 + (89992°<-) (S0T<>"T-) (86225°2-) , (>TS9Z°2) <b * ZOL8TT° - 2b x 920TSO" - TO x e<2Z80° - CANNSGAGN)901 * £SS5T°T + (€N99)901 * £h°T - €dNIDISOT) * GZ°O + CCCT-LIdN/CT-I)JI3RS * (T-IJANSXd9 901) * T453099V1 + (b2ebb°2) (22809°9) (T2896 “S-) (CT- INID/CT-ININISON * 2T606S" + (dNSNISOT * $0626°T + Tes9°2t- = (C139 % ANSDXd9)/ANIX 901 (100) °S°N 3HL OL SLYOdXa SGOOD NVWYAS CANDX) “222 268° 0- *WAS ocb'°T Ozb*O0- (T-) T9S°T 29° 0- (0-) divis-1 143039V1 vl S8/> ?G31VWILS3 TZ = GON 5D) 286T OL TD S96T *3ONVU (6°9) 289° = OHY £80°T = SHIT NV3W 60° = “¥Y°S°S TS8° = BSD (86296 °T) (T96ST°T) (98962 °5) (<20c2°T) <b * 065240° - 2D * 662620" - TB x 606260" - SWIL * 896200" + ; (16026 °2) ( INWSGAGN)901 x Z0080°T + CCCIIdNZCIIIZR * CIJANSXd3)901) * T43099V1 + (ZTZ92°T) (22be2°T) (dNON)ISOT * SEZET°T + 92Z0b5°2- = ((€133 % ANSXd3 )/7AN3X 1901
(100) “S°N 3HL OL SLYOdX3 SGOOD “WN (ANSX) “TEL
- OST -
TASWNdN/ATASWN = 149NN
S$33IUd 226T--SLYOdWI 13N4 40 AWNIOA (14°5HWN)
YPTISNN + ANTISNdN * S9Z°O x* TISOWN = ATISWN
$39TYd LN3JWWNI--SLYOdWI 13N4 JO ANIVA CATASWN)
ASTAONN/CANITIONIN + YUdS14N + SNISdTAN + SN14BXN + SNBINTAN - SNNTD1SN - SNI1SN) = 14°59HN
(VS) (GGW) SLYOdWI TIO 40 3WNIOA (149EHN) TANSWdN x T4ANSWN = AT4NOWN
$3ITYd IN3SYNNI--SLYOdWI SGOOD 13N4-NON 4O 3NTIVA CATANEWN)
28/5 =?G31VWI1S3 ty = GON Dd O86T OL TD OZ6T *39NVU ua
Z3°T = VN = SHIT NV3H 829° = “U'3°S G66° = OSD (92T°T6) CCT-ANSX + ANCX) % S°O * ITZGO°T +
(o<°2) (92°S) (2°22) (6°T) £0 * £25229" + 2D * TZ65S°T + TD * 9T29° + Tlze2Gg°-
:
(ALLIN3O0J-ISWNO) NVdvVf NOYS SLYQdWI SGOOS “S'°N CAH)
2002. SauMNTIS3 +> = GON 5B OV6T OL TD OZ6T *39NVU
VN = SH1 NV3W 506° = "U°R°S 86° = OSD ; (90°S) CCT-JANSX %* GZ°O + ANDX * G9°O) * 6HHS0°T + ; — (2S°T) (929° (20°2) (oe°) (SS0° ) AISTIAGN * G9Z8ZE" £dD *% 66295T° + 2D * 226252" + TD * G26090° + 9Z<zTTO°- = ASW
(ALIIN30I-ISvNd) ANVWUSS WON4 SLYOdWI SG009 °S’°N (ASINN)
28/5 :G3LVWI1S3 +b = GON 4d OS6T OL TD OZ6T *39NVU
eZ°T = MG VN = SHIT NV3H cs° = “4°3°S 296° = bSUD (6°9b) ANIX * 968516" + (ST°T) (6°) (Z2°T) (Z0°T) (2T°2) ASTIAGAN * ZGTO2" - <0 * 19462T° + 2B * SOTS6T’ + TO * 29995T" + 22G2e° = AaNW
CALLLINJGI-ISVND) °A°N WOUS SLYOdWI SGO00D “S‘N (AZINN)
28/5 =?031VWILS3 +b = GON 4D 0861 Ol TB OZ6T 2 JINVa
2S°T = MG VN = SHIT NV3N 925° = “"Y°3°S 266° = OBSYD (82°<IT) (99°T) (68°T) - . (T8°T) (8e°Z) ANIX * 906266° + <8 x ISzG0" - 2b * 960995" - TD * 628955" - 6920T°2 = ANH
CALIIN3GI-IS¥N®) VOVNVI WOY4 SLYOdWI S009 °S°/N (AZINN)
- 1ST -
“Tbd
“Ob2
“622
“Sel
“L£el
“9eZz
“Gel
“oel
(VSN) (LOG) S39TUd INIYUNI--SLYOJNI SG009 *S°N TWLOL (ALNW)
YZINSWN + INSWdN/AINSWN = INSWN
(SISV@ VIN) S33IUd 226T--SLYOdWI SGOOS IWLOL 40 AWNTIOA (INSWN)
YAVNASWN + GIOSINN + GIOSWN - ASWN = AINSWN
(SISV@ dO) SAIIUd 2Z6T--SLYOdWI SGOO9 WWLOL 40 3WNIOA (SHN) A1SNOWN + ATASWN = ASWN
(SISV@ dOd) S3ITYd LNIXYNI--SLYOdWI SGOGOD TWLOL 40 SNIVA CASWN)
- 2ST -
“Lod
“9bL
"Gbl
“bbl
“Sbd
"Sol
AWNOXN + AVOXN = ASN
(SISV@ dO) SIIIUd IN3XYNI--SLYOdXI SGOOD WLOL CADHN) = *2GZ
SVXdN x% VOXN = AVEIXN
$32Idd LN3IYNNI--SLYOdX3 SAOOD WAUNLINITINSV CAVSIN) “TSZ SVNXdN % VNOXN = AVNEIXN
$39Tdd LN3IYNND--SLYOdX3 SGOO9 WUNLINITYSV-NON CAYNS2N) = ~OSZ
s98°0- 825°0 SHS
Gz2°2 390°0O- 9T2°T 220°0 (2-) T62°2% ZTT°o- bez°T 990°0 (9-) 929°2% ZoT°0- 26o°T 120°0 (g-) GS0°< 6ST*O- ots’T 620°0 (- ) b6L°S Tst*O- 595°2% 0380°0 C2-) £12" S2T°O- 216 °2 220°0 (¢-) SSz°T T80°0- vert 9590°0 (t-) 6ST°O 2T0°0- 09<°0 <20°0O - (0-)
41V1S-1L 243099V1 iViS-1 143099V1 ow
S8/>o *Q31VWI1LS3 49 = GON 4D £86T OL TD 896T = JONVU S68°T = Md 98b°2 = SHT NV3W 280° = “Y°3"S B26" = osyud (CCT-LSNIIdSN/CT-1LISVXdN *% OOTIIOT) * 243099V1 + ((€2-1)Id3dN/C2-LISVXdN * OOT * OOT)ISON) * T4I0I9NV1 +
(22826°92) (2Z969°3) (WMXdNOINISOT * beTE2°T + 62998°Z- = CVSXN 307
S391Tdd 226T--3WNIOA 1LYOdXF TWHUNLINIIUIY (VIN) = “6bL
i 8 et t et é et ' z a
eToO°<s e2T°0- 9TT°OT 690°0- (L-) eto°s oT2°O- 9TT°OT TeT*0o- (9-) eto'<s 9242°0- 9TT “OT 9ST“ O- (a-) eT0°s 90<°0- 9TT‘OT <ZT°O- (b-) eto°< © 902°0- 9TT°OT <ZT°O- (z-) eto"s 922 °0- 9TT°OT 9ST" O- (2-) eT0°s oT2°0- 9TT°OT TeT°O- ({t-) ra 2eT*0- 9TT°OT = 690°0- (0-)
AVLS-1 243039V1 1VIS-1 143039V1 v1
S8/y :Q31VWILSS 65 = GON 4d 296T OL TD 896T *FONVU (z°>) 905° = OHY T26°s = SHT NV3N 920° = “Y°S°S T66° = BSD COCT-LT)AVddNSN/( CT-TIAITddNSAT + CT-I)JATddNSII) 901) * 243099V71 + CCCT-1)OTM439d4N/( T-I OVNXdN * OOT * (T-IJOTI3NI9ON) * T43099V1 + °
(88625°2) (2222°6) ( 265852") CWMXdN9AN SOT * ZE2SZ°T + (YNXSGAGN)901 * SZTTS’ + %6TSSE°- = ( ¥NOXN ):307
SdITUd 2Z61T--3WMIOA LYOdX3 WUNLINIIYSV-NON CYNOXN) “SbZ
$d009 40 SluOdXx3 “a Ir‘n
- <£ST -
CYSN)€100) S33I¥d LNIYYNI--Siv¥OdX4d SGOOS SN WLOL CALAX) YZINIXN + INDXdN/AINSXN = INOXN
(SISV@ VIN) Sd3Iud 2261--SL¥OdxX3 SGOOS -WWiLOl ( INDXN)
~Y3YNASXN + GIOOXN - AIXN = AINSXN
(SISVa@ dO@) S391IUd 2261--SL¥OdX4d SGO009 W10L (9xN)
- $ST -
“9SL
"SSZ
“eS
ATINSWN + AASHN + AOSWN = ASHN
SIN3WAVd S3DIAUSS WA0L CASHND = ~<9Z
ASASHN + AGNdASHN + AGdASHN = AASWN
SIN3WAVd 3WOINT LNSWLS3ANI W10L CAASHND = °29Z2 AGPASHN x* BNGdASHN = AddASHN
(VSN) SIN3WAVd BWOINT INBWLS3ANI 193410 3LVATYd CAGdASHN) "T9Z
S8/> 203LVWI1S3I O2 = GON %D 296I QL. Te. 82el 2 pe
Sb°2 = MG ZL2b°2- = SHI NVSWH 520° = “YRS Be) (>s62°S8T) ((C T- JSAVS14N/CT— JASASHNISOT * 228228" + (>Z08T°<) (6T202 °<)
(TSUNISOT * GZT22T° + SB8ESZ9°- = CSAVSTIN/ASASHN D307
S.IN3WAVd JWOINT IN3WLS3ANI LNSWNY3SA09 CASASHN) "092
S8/> 2Q31LVWI1S3 O02 = GON +8 Z86T OL TD 8Z6T *39NVU IZT°2 = MQ 609°2- = SHIT NV3W 650° = "Y°3S°S 296° = OSD
(8TT60°6) (CT- JOAVATIN/( T- JAGNdASHN}901 * 596T2S° +
(26005°2) (2ee2e 8) CTSUNISOT * 9Z5GES° + LLo°2- = (SAVd14N/AGNdASHN 501
SIN3HAVd 3MOINI IN3WIS3ANI 193YT0-NON SLVATad (AGNdASWN) = “692
S8/> *Q31LVWILS3 <> = GON 4D 286T OL TD 2Z6T *39NVU (Z£°>) 229° = OHN 29T°T = SHIT NV3W 902° = “4°3°S 988° = BSYD (662226° ) . (€9SZ02°2) (sS2SZ2°2) (S692 °T) CCT-JdNSN/dNSNISOT x BOZTI"S + <0 * 866S5T° + 20 * SoL66T° + Td * TOOT60" + (69202 °S) (8db2<26°2) (ZEs6T"s)
(d31IGN x IdddN)SO1 x 222608" + (NINIIOT * 2TL6°2 + $060°ST- = (W8dVIN - BNAGdASHN)9O1
(VSN) --SIN3WAVd 3WOINT INSWISSANI 1939410 3LVAIUd (ONGdASHN) “SZ
S@/> ‘Q31VWIISI TZ = GON 5d Z96T OL TD S96T = 39NVY
(2°6) TZZ° = OHY 6TZ°2 = SHT NVSW 920° = “Y°3°S 866° = OdSYD (6629b°2) (829Sb°<) (dNSN)9O1 * SZ680Z" + COTISN/OTMAIdAN SOT. * 269202" + (£5022°9) (T8Tsb"<) (96626 °<)
(d@9dN * OOT)ISOT * 962662° + (SWNISOT x G6Z2002° + TSbz0°lL- = (AQSWN)}5S01
AMVLITIW ONY INSWLSAANI SNIGN1DX3 SINSWAVd 3DIAUSS (AOSWN} = °ZSZ
SUJ4ASNVUL GNVY S3DIAUSS 4O SLYOdWI “D°II-N
- GST -
YZINSWN + INOSWN + ISSWN = INSWN
(SISV@ VIN) S39Iud 2Z26T--SLN3WAVd JIIAYNSS 1VLOL CINSWN)
Y3NOSWHN + INSOWNdN/AINOSWN = INOSWN
(SISV@ VIN) S39IYd 2Z261--SLNAWAVd JIIAYNSS Y3HLO ( INOSWN)
YANISSWN + I4SNdN/AISSWA = ISSWN
(SISV@ VIN) S39IuYd 226T-- SLNAWAVd JAWOINI YOLIVS ( 14SWN)
€YZINASWN + AINOSWN + AIJSWN = AINSWN
( SISV@ VIN) S391udd LNIYYND--SLNSWAVd JIIAYSS WLOL (AINSWN)
YFAOSWN + ATINSWN + AOSWN = AINOSNWN
CSISV@ VIN) S33Idd LNSYYNI--SLNAWAVd JIIAYSS YAHLO ( AINOSWN)
YALISWHN + ADASWHN - TSYNN - AASWN = AIISWN
( SIS¥d@ VIN) S39Ied LNFXYNI--S.LN3WAVd SWOOINT YOLIVS CAISSWN)
~ 9ST -
“692
“B89L
“292
"992
“GOL
"o9L
G@/> :Q31VWIISA <b = GON DB Z86T OL TD 246T *JONVY
(6°E) GSS° = OHY 820°2 = SHIT NV3W TSO" = “Y°3a°S 996° = OBSUD (22002 °T) (Lebe°s) CC CT- OTIGSANZAC T- JOTIGdIN) /OTIGIAN/OTIAdIN ISON * 629995" + <d * 466280" - (2T8Z6Z° ) (2Z6z0z°2) (9929°5T) 2B * 620520" - TO * 616290" - (OTIGSIN/OTIAGdIAN * OdIDIGNISOT * 2L2e8" + - (Tzo9°T) (28<298°T) (MIGNIINISOT * THSs°2 + 692°2T- = (.LYNGASXN - XO9dVIN - BOAGASXN)SO1
(YSN) YSHLO--SidI3938 JWOINT INSWLSIANI 193uI0 (BOAGASEN) "eLZ
S8/>) *G31VWILS3 <> = GON Dd 286T OL TD 2Z46T ?39ONVE
(Z°>) 609° = OHH 8t0°2 = SHI NV3SW <sT° = “4Y°3a°S G28" = O8SYd (Z28To"s) (999sT°Z) CCOCT~ OTIGISNA( T- JOTIGdIN) /OTIGIAN/OTIAdAN SOT * Teez°s + =D * 660662° - (266929° ) (¥2ZST6°2) (90862 °=) 2b * £55020" - TS x 22892T° - COTIGIAN/OTIAdIN * WdIDIGNISOT * BZZZbb° + (92625°S) (2926E°=) . (MIGNIINISO * ¥=8SS°S + TZ9T°6E- = (XW9dVIN - BWAGASXN)01
C YSN) SNTYNLIVINNYW--S1dT393u 3WOINT IN3SWLSASANI 193NIG (OWAGASKN) = °222
S@/> -Q31VWI1LSI <> = GON >d Z286T OL TD 2Z6T *3ONVE
(Z2°S) 269° = OHY 926°T = SHT NVSW 9T° = “Y°S°S 268" = O8SHD
(19969 °T)
(d3dXVS/dIdNYS )SO7 * ITOSG * 220226" + (TOZ2T°S) (96026Z° )
(CT- )dDdXVS/dIdXVS 1901 * 62Z2ZAGN * TETs65° + <b * 996850" - (2998S°T) (22e2e") (6262T°S)
2b * 929880" - TS x 88Z9TO” - (OTIGISN/OTIGdIN * ddIDIGNISOT * £04696" +
(606T6°2) (1T6800°<) (MIGNIINISON * 9ZE29°6 + TxT6°Sb- = (Xd9dVIN - BdAGASKN)IO1
C VSN) WNITONLAd--S1dI393e JWOINT LNSWLSIANI 193NIG (OdAGASKN) “TZZ
S8/> :Q31VWILS3 TZ = GON %® 296T Ol TD G96T 2 FONVU
(8°9) 269° = OHY 282°2 = SHT NV3W 20° = “4Y°3°S 666° = BSYD ( 18266") (Leao") (9XNISOT * B9I2ZE2° ot COT4AdNDAN)SOT * B908ZG" + (6268b°<) (£969°oT) (2809°O0T) . COTIIN/OTMIIdINISOT * HSL9TZ° + (d@9dN *°00T)SO1 * ZIZ260°T + 2£L£>16°G- = CAGSXN )307
AUVLITIWN GNY SWOINI INSWISJANI SNIGNIIXS S1idI393uN ADIAUIS (AOSKN) “OLLZ
SUaISNVUL GNV SADIAUSS JO S1LYOdX3 “a°II'N
- £9T -
YAAOSXN + SITINXN - ATIWSXN + AOSXN = AINOSXN
(SISVG VIN) S39Iudd INSNUNI--SidI4I3e- ADIAUIS Y3SHLO ( AINOSXN)
Y3aTASXN + WWAKN - AASXN = ATASXN
( SISV@ VIN) S39IUd IN3SYYNI--SidI393U 3SWOINT YOLIVA (AT4ASXN)
ATINSXN + AASXN + AOSXN = ASXN
$1dI393U JDIANAS WALOL CASXN)
WOAGASXN + dAGASXN = AGdASXN
SidI393¥ JNOINI INSWLSSANI 1WLOL (AASKN)
XWOdVIN + XOIdVIN + OAGFASXN/(XWIdVIN - BWAGASXN + XOSdVIN - BOAGASXN) = WOAGASXN
(WS - YYW) YSHLO + “4NNVW--SidI493U SJWOINT INASWLSSANI 1943uIG CWOAGASXN)
XdIdVIN + dAGFASKN/(XdIdVIN - BdAGASXN) = dAGASXN
(VS - YV) WNIIOULId--SLdI3IIeY AWOINI LN3AWLSAANI 1939uNIG (dAGASXN)
S8/>b ?G31VWILS3I O2 = GON +d 286T OL TD BZ6T *FONVY $8b°2 = MG %ST°S- = SHIT NV3N 980° = “Y°d°S £249" = BSD
(5ST8°2) (( T- ISAVIIAN/CT- JASNASXNISOT * 2062S" +
(£2902°T) (9TZ82°2) (TSYUN)SOT * Z=E9b=T° + TsZ9Z°T- = CSAVIISN/AINASXN 901
$1dI3939u 3WOINT LINSWLSSANI 1LD3YNIG-NON IN3WNY3A09 ( ASNASXN)
S8/5 ‘?Q31VWI1S3 O02 = GON Dd 286T OL TD SZ6T 2 JONVY $eg°2 = MG G8T°2- = SHT NV3W 220° = “Y°3S°S 286° = bdSYD
(2602 °TT) ( CT- )9AVd94N/( T- JAdNASXNIIOT * G6529b"° +
(ST09°2T) (2699°<T) (TSUNISOT * 2986H° + 6882e"2- = (9AVdI4N/AGNASXN 1301
S$1idI393U JWOINI INSWLS3IANI 193YNIG-NON SLVAIYd CAdNASXN)
- @SIT -
"28d
“Tez
“os
“@lZ
“SZZ
“LLL
“9LZ
*GZZ
“HLL
ANVULXN + TWasn + TEIN = TwaYNIN
(dO@) 3ONVIVE INN J9V INZYYND CTvE"riond) °“Z8Z
YZINSXN + INOSXN + I4SXN = INSXN
(SISV@ VIN) S39IUd 226T--S1idI399N JDIANTS WLOL CINSXN) *982Z
Y3NOSXN + INSOXdN/AINOSXN = INCSXN
CSISV@ VIN) S39TYd 2261T--S1ldI3938 JIIAUSS Y3HLO CINOSXN) “SEZ
YANISSXN + (I4SSXdN * OOTI/AISSXN * OOT = T:ISXN
(SISV@ VIN) S39Id 2246T--S1dI393N AWOINT YOLIVA (T4SXN) ° bel YAINASXN + AINOSXN + AIASXN = AINSXN
( SISVG VIN) S39TYd INSYYNI--SLdIIIIN JDIAUSS WLOL (CAINSXN) *s8Z
- 6ST -
AINSSWN - AINSSXN = AINXLANN
(SISV@ VIN) S3DIAU3S GNY SG009 40 S1LYOdX3 L3N (AINXL3NN)
¥aNSOXN + INSXN + INSXN = INSSXN
(SISVA VIN) S39IUd 2Z261--S3IIAU3S GNY SdOO09 4O S1Y¥Odx3 ( INSSXN)
YANASSXN + AINSXN + AINSXN = AINSOXN
(SISV@ VIN) S39IUd 2Z61--SADIANSS GNY SG009 JO SLYOdWI CINSSWN) Y3NASOWN + AINSWN + AINSWN = AINSSWN
(VIN) S39TUd INSWIND--SAIIAYTS UNV SOC 40 SLYOdNT (AINSOWN) ASNVULXN + AdNVYLXN = ANVULXN
(dO@) SldI393e YAASNVAL LIN CANVULXN)
ASOWN - ASOXN = TVESSN
(doe) $39Idd INIYYNI--SAIIIAUAS GNVY SGOOD 40 SLYOdWI (ASSWN)
ASXN + ASXN = ASSXN
“862
“LOL
“962
°G6L
“262
“262
“T6Z
“062
“682
SJONVIVE °3°II'N
- O9T -
INSSWN - INSSXN = INXLINN
(SISV@ VIN) S39IAU3S GNVY SGOOS 4O SLuOdX3 13N 1V3e CINKLANN) = °662
- T9T -
962°0 <T0°O0- *WNS
VN 199 Ga) VN TO0O0°0- (<-) VN OZT°O VN 200°0- (2-) VN 822°0 VN 400°0- (T-) VN 282°0 YN s00°0- (0-)
dvis-1l 243039V1 Avis-1 1T43039V1 ov
(CC IJdNINISOT) x* 243039V1 + CCCIIMONUN - CIITSUN) x ITSZG) x T43OISVI +
(VN) CV¥N) (VN) SWIL x G6S500° + (TVHd1¥N)901 * TéTsO°T + 980L92° = (dn/as0n)501
(VYTWN-TWN) SLISOd3aqd AWIL Y3aHLO (a30N)
962°O <T0°O- WAS VN IIt‘o VN T00°O- (<-) VN OZT°O YN 200° 0- (2-) VN g22°0 YN +00°0- (T-) YN 2£82°0 VN s00°0- (0-)
dvis-1 2430239V1 dvis-L 1430959V1 ov
@Z/l :Q3LVWILSA 95 = BON 4D SZ6T OL TD 296T *39NVY
(0) 286° = OHY WN = SH1 NVSN ZOO" = ‘Y°a'S 9TS° = BSYD CYN) @gaqqAan x 68Z0TO" - (CC I)dN9INISOT) x 245099V1 + C(CIITSIN) x TAIOINVI + CVN) ; CVN) (VN) SWIL x GS6Sb00° + (TVHd1¥N - 1)901 * T6éTsO°T + 806z200°- = (dnzaan)so1 SINJGIS3U¥ AG G13H SLISOdad GNYW3d (adn) 950° 0- 959°0 [WNS VN 600°0- YN 092°0 (<-) VN >+T0°0- VN <2T°O0 (2-) VN >T0°0- VN 960°0 (T-) VN 600°0- VN 6ZT°O (0-) dvis-1 243035V1 Avis-1 1T43099V71 ov 8Z/T ‘*d3aLVWIiS3 9G = SON Dd GZ6T OL TD 296T *J9NVU (0) 288° = OHY WN = SHI NV3N <£00° = “US'S 266° = BSYD CVWN) (CCTITSYNISOT) * 243039V1 + (€€II9NISO1) x% TAZOIOVI + Let9gt2°- = (dN/aNdN 507
LVN IWIINVYNIS IILSAWOG “ITI'N
- 29T -
“208
“Toes
TW--AlddNS A3NOW ('YTWN)
agqgn + yN3N = YIWN
ogZ°T 020°2 059°2 SsT°9 062°T 800°0O
sTT’O 200°0
totam tonto ton’ CANM St Preprerte weewewwewe
AViS-1 1430391 ov71
. 28/6 ‘Q31VWILS3 $< = GON 2D I86T OL TO £26T 2 39NVU (VN) 26TS° = ZOHY (0) So4e°T = OHN WN = SHIT NVAH GSTO°. = “a’a°S s908° = obS4YuD (99°2) GLuN x 68TTO’- - COCIIMNA/(CTIAINSSHN + CIJAINSSXN - (I)AdNIN) 901) x TA3039V1— + (99°2) (98T°02) gO1UN * 68ITO" - 996Z'°T- = CMNN/019) 3907
SINIGISIY AG G13H SLISOd30 3WIL (ain)
- £9T -
“soe
*b08
“08
S8/o *Q31LVWILS3 £6 = 2b £86T O1 ID 0961 *39NVY (2°OT) Tez" = OH 222°6 = SHI NVaN 282° = "WU a'S £66" = bsyd
(6900° d=) (669S2°") g9T1UN * bOSGZ*T + 2o9Tes* = THEN
SASVILYON NO Q13IA 3AIL939443 (1HYUN) *608
268°0 *WAS 20° TI0°o (TI-) 20°83 £20°0 (OT-) 20° 4<0°0 (6-) y20°S 9%0°0O (¢-) y20°S 2s0°0 (Z-) y20°S 690°0 (9-) y20°S 0g0°0O (s$-) ><0°8 260°0 (>-) >20°8 <0T°O (<-) 420°S SIT‘O (2-) >v20°S 92T°O (T-) 20'S g<I°O (0-)
divis-1 143099V1 ov
$8/p *Q3A1LVWILS3 @Z = GON 20 £86T OL 5D S96T 2 J9NVY
(2°=T) 268° = OHY fT°Z = SHI NVEN bE" = “YRS TS6° = OHSUD (8200S90° ) ($9800°2) dXadN * 226900" + (CIITSUN) * T43039V1 + Tes92°T = as7un
aLlvad 1S3Y3LNI GNO@ IN3WNYIAO9 WH3L SNOT (g9TYeN) ‘soe
<28°0 =WNS
oge°s It0°o (IT-) ogee? 120°0 (Ot-) ose"? 220°0 (6-) os2°2 240°0O (3-) os2°e £50°0 (Z-) - og2'e £90°0O (9-) og2°e 4L0°0 (s-) os2°s 430°0 (>-) os2°s s60°0 (<-) os2°3s 90T°O (2-) os2°s 9IT°O (T-) og2"s Zet°o (0-)
divis-1 143039V1 ov
S$8/> = 2Q31VWILS3 92 = GON 2D £86T OL 5D £96T 2 F9NVY
(6°TT) £T@° = OHY ¢f>5°S = SHIT NVAW TSE" = “Y'3S°S G86° = OHSeD (TZbSZ°T) (2S9TT"2)
dXadN * <b6e2z" + (CIISYN) * T45099V1 + <2G6T°T = Tan
JLVY LS3Y3INI GNOG VVY WY3L-ONOT (149N) “Zoe
S8/> =? Q31LVWILS3 06 = GON 2b £86T OL 4D 096T = 39NVU
(2°) 2To° = OHN 922°9 = SHIT NVSW £29° = “Y°S'S G96° = OHSYHD (9Z022°S) ( 2222" be) ( 228622") CGGNN/4YN) * B=SB°96 - GUN * 26bbE6° + veSTSO" = Tsun
(° 03 S3AN3SIN JANA GILYFZANI) JLVY WIIG AYNSVaYL HINOW-<S (44UN) *908
S3iva LSAMSLINI GNV YOLISS ONINNVE JLVAIUd “a@°III'N
- $9T -
COC) SGWN x COP )TWHSEN - T) = O ‘E- = CIWNS * GZ°O == GQNN
CASVESAV SNIAOW Bb) SINSWANINDSY 3AN3S3Y Wwuads4s 4O LIN SLISOd3za ONVNaG (GQNN)
WNYYN + HLONUN + TIWWSYN * GIN + TWwNSEN x SGWN = 4UYNn
S3AYN3S3Y GaAYINDA’Y (eYN)
g@swrn/(9aan + YSWrN/Gdn) == SGNN
SLIN3W3ININDIY JAYNSSIY OL LIICFANS SLISOd30 GNYW3G ( SGWN)
Tsun + synrn = sun
SHINOW 9-4 JLVY LS3YFINI YadVd TWIDYSWWOD (SUN) Q34uN * $°T19/9°96 + GDN * b°119/8°STS = GLUN
ALVY 1S3Y¥31NI LISOdad SONIAVS ONY SWIL ( GLUN)
8Z/T *Q31LVWILS3 95 = GON 8 SZ6T OL TD 296T ?39NVU
(0) 699°" = OHY WN = SHT NV3H SZO° = ‘Y°a°S Z2Z6° = dSU:) CYWN) CYN) CWN) (TSYNISO] * 61T9ETZ2° + (SYNISOT * geszse° + TISstt’ = Ca3uN 507
CALIINAGI-ISWNO) Jive 1LSAYFLINI AVG-06 (a94uN)
- S9T -
“ste
“oT
“<T8
“218
“Its
“ots
anon + 3uN + YIN = NEN
“ZT8
“9Te
S3ILIYOHLNY AYVLANOW °3°III°N
- 99T -
695°T ?WNS
206°T 9>T"0 (z-) 206°T 262°0 (2-) 20%°T gzb°0 (T-) . 20% °T <85°0 (0-)
Avis-1 143099V1 ov
S8/b *GaLVWILSa OZ = GON 4d Z286T OL ID S96T ?39NVY (6°E) Sbb"~ = 2OHY (2°2T) Tés*T = OHN LbE° = SHT NV3N 160° = ‘U°a'S 166° = dSY)
COCTININ *% £°O + CI)OTMINDAN * 2°0)901) * T43099V1 +
(6999<°T) (TEST '>) (T69TT*T) (OTISNISON * 2ge9s2° ~- CdN9SdN)SOT ¥ bOLZ0°T + 696%2°S- = (SVXdN)SOT
3NTWA LINN LYOdX3 WANLINIINSY (YvxXdN) ‘oze
S8/> =? Q41LVWILSI TZ = GON Dd Z286T OL TD S96T = F9NVU
ca oT) 6>8" = OHN ZEZ2° = SHI NVAW ZTO* = “Y'3°S 666° = OSU) (TzeaZ°<) (ZZ2T@"2) (CT-JOTIINISON x £TE9L2° - COTISNISOT x G2eZo0z° - (92£29°<2) ; (2ZOLS2°T) (282986°S) (OTM49dINIIOTN * 7G6466° + (WOIS4Id)501 * £58090" + 9069°2- = (C14N9WcIN 507
ANTWA LINN LYOdWI TIO-NON (14N9WdN) “6Te
1z0°0 099°0 :WNS gST°0 £00°0 <02°8T (092°0 (s-) Z5°0 £00°0 €0Z°ST S6T°O (2-) gbe"T 810°0 £0/°8T O£T'O (T-) <09°¢ 250°0 £0Z°ST S90'0 (0-)
41V1S-1 2430391 ivis-1 143099V1 ov
S8/b 2 Q31LVWILSI 8< = GON 2D S86T on 2» Z£Z6T = FONVY (2°S) 2° = OHY S06" = SHIT NVAW £00° = a°S T= osuys (SOTSS°T) (209S52°T) (62520°T) £5 * SSZTOO" - 20 * 462200" - TS * BZTTOO" - (T¥2680° ) (NAN/T) * 025900" - (€C1)34IMdN)901) * 245009V1 + (CCIJMN)SO1) % T43099V1 + (oT bs °22) Te81TO°T- = C CCT) 14NSWdN 901 * S°O + (14NOWdN)SO1 * S°0) % T4NOHWLMN - (€dN)S01
yOLV1430 NOI1dyOSay (dN) ‘sTe
S39IUd “VAIN
AlddNS GNV S39Iud “AI‘N
~ £9T -
(rexZe°O = TL OL O = F J WAS/E(H ~ WIdNOdN/((% - WIdNOdN - C WdNOdN) % C- )2Z8°O * O STT- = OWNS * OOT = dXadN
AOVUAAV ONIAOW -- NOILVISNI G3L94dx3 (dX3dN) 628
((2T-}1cddN/Id3dN) * ZT'O + ((8-)IdddN/IdddN) * EE°O + ((o-)IdddN/EdddN) % G*O = IdddHIIN
(39VYUFAV SNIAOW) NOILVISNI JILSSWO0 (IdIdHIIN) *92e
OOT * (T - Hxex((T-)dN/dN)) = dHIdN
3LVa TWWOANNY--13A31 391Yd NI SONVHD J9VINAIU3d (dHIdN) “228
adaxIdMdn + (dN)901 = (MXIdMdN)9071
SLHOISM LYOdX3--X3GNI 3DIYd JIVSAIIOHM *S°N (MXIdMdN) ‘922
Yad@9dN + (dN9dNISOT = (da@ddN)901
X3O0NI LH9OI3M G3XI4--LINGOUd SSANISNG SSOUD °S°N (d@9dN) “Sze
a43IdIdN + (dN)ISO1 = (Id3ddN}901
X3QNI 391dd YSWNSNOD (IdddN) “929
dNSN/ZAdNSN = dNOdN
¢4O1V1440 dNO (dNOSdN) “s28
yzJ9WdN + (T - C(T-)TINSWdN/TANDWNdN) * OS + (T - (T-) 149WdN/TIONdN) * OS = (T - (T-)ANOWdN/ANDNdN) * OOT
X30NI 3NTIVA LINN LYOdWI SGOOS (ANSWdN) *22e8
290°0 *WAS Loz°T 020°0 (2-) 2oz°T 220°0 (T-) £b2°T 020°0 (0-)
AVLS-L 143039V1 ov
- G@/y iQ3LVWILS3 SG = GON 286T OL TD 696T ?39NVU (1°22) TTZ* = OHY 6%>5° = SHIT NV3W 210" = “Y°3"S 666° = bSHD
(G626°ZT) (2955'S) ((( 1-1 )OTI3N/( 1-1 )0TM49d4N)901) * T43099V1 + (MXIdMdN)9O1 * 9G8ET°T + Z8s0S0° = (9YNXdN)907
SNTWA LINN 1Y0dX3 TWYNLINIIUSV-NON (SVNXdN) “T2e
- S9T -
Y3NSOXdN + (IdIdN)I9SOT * 95°O + (dd9dNIDOT * 692°0 + (dNOdNISON * T82°O = CINSOXdN)S01
$1dI393U JDIAUIS Y3HLO YOS YOLVISSG 3IIYd LIDIIdWI CINSOXdN) ‘“Ob8
YANSXdN + (dN9dNISOT = C(I4ASXdN)IO1
$1d1I393N SWOINI YOLIVA YOS YOLVIAIG JITUd (TASXdN) “6e8
YANSXdN + CC VYNOXN + VOXNI/CAYNOXN + AVOXN)ISOT = CINSXdN)ISOT
LuOdX3 ASIONVHINAW YOS YOLVISSG JIIYd LIDIIdWI CINOXdN) “88
yagxXdnN + (T - CT-)SVYNXdN/SVNXdN) * 29°99 + (T - (T-JOVXdN/OVXdN) * ZE°EE = (CT - CT- ANDXdN/ZANDXdN) * OOT
ee ee ee ee ee Ae ee an ae
XJONI 3ANIVA LINN LYOdX3 SGOOS (ANDXdN) “ZB
JANIOWdN * ANTJSWdN = 14:5NdN
(OOT=226T) ANIVA LINN LYOdWI TIO (149WdN) °9<S98
dN WdWON + T1IOdO = ANTASNdN
(138uavVe Yad SYV1100) ANTIVA LINN LYOdWI TIO (ANISDWdN) “Sse
YANSINdN + INSOWN/AINSOWN = INSOWdN
S3IIAUNZS GNY SGOOS YO4s YOLV1430 LYOdWI (CINSOWNdN) “bse
Y3NSOWdN + (TO°O * SNIIdJNIDON x 985°O + (daddNISOT * £22°0 + (dNOdNIDOT * TST°O = (INSOWdN)901
SANAHAVd AIIAUSS YSHLO YOI YOLVISIG 39IYd LIDIIdMWI ( INSOWdN) ‘<<
Y3NSNdN + (dN9dNISOT = (14SWdN)901
SLN3WAVd SWOINT YOLIVS YOs YOLVISIG 3DIYd LIDIIdWI (I4SWdN) “2¢8
YANSWdN + CC T4NSWN + T4J9WN)/CATINOWA + A14I9WN))I9O1 = CINDSWdN)901
LYOdWI SJSIGNVHIYNSW YOS YOLVIS3G 3d LIDIIMWI (INDWdN) ‘Ise
(z-)dN * CT + OOT/dx3dN) = Td/N
33Tdd G3193dx3 YO4 AXOUd (TdN) ‘ose
7 69T -
ua4dIMdN + €134IMdN)901 % SZST°O + (ONIIMdN)SO] * S9T°O + (24IMdN)ISOT ¥ SbS0°O + (14IMdNISOT x G949°O = (34IMdN)901
XJONI 3DTad JIVSAIOHM ADNANA 3LVIINIOV (34IMdN) “?2bs YANSOXdN + INSOXN/AINSSXN = INSOXdN
S39IAUN3S GNY SGOOS yO4 YOLVIS9G LYOdX3a CINSOXdN) “Tbe
- OZT -
922°0 “WAS
99g "2 s>0°0 (<-) 98g "2 890°0 (2-) 9e5°2 890°0 (T-) 9eg°2 g>0°0 (0-)
dvis-1 143039V1 sv
S8/> :Q31LVWILS3 98 = GON 20 S86T OL t8 ret ZONVY <0°T = MG STb°> = SHT NVSN ZO0O0° = ‘U° sud - (8T0°2T) (46905 °6) ((T-)37N)901 x £0zez7S° + ~=6 (HIN * 31N)INOT * ZTTTOD’ + (90958°Z) (8ZS92ET" ) JWIL * 298000" + (CCC IDHIN * €1)37NI90T1I130) * TI3I0INV]T + FB9TIO’- = (37N!901 SNOITTIW--C(NVITIAID 1WLOL) INAaWAOIdNS (211N) “Se (£8ES2°T) (£29225 °) (TOSbOT* ) (20500°2) (sb x 822500" + zd x 486000° - 18 x TOZ000° - a4WIL * SzEz00° + (Z2Z£90°2) CCC T-)dW * €£9°T6 901 - (SZ5E°2 *% OOOT/S9E * (T-)SND14NI901) * 009ZE0° + (90292°T) (Cd * £ES°T6)901 - (SGLbE°2 * OOOT/S9E * SNITINIDOT) x BG6ES0°" + (S29SZ°T)Y COCT-)edIN * EE5°16I9O1 - (GLHE°Z * OOOT/S9E * (T- YSNITIN - CT-)INSIWN IDIOT) * 996220" + (80TE2°5) (Cd * ££S°T6I901 - (SL5E°Z * DOOT/S9E * SNO1IN - INSSWN)SO1) x 9S590° + (1292°22) (CdWN % €E9°T6)901 - (46°T * 41NIDOT) * ZZZZ9L° + (20T52°S) ZO68S°T + (dN *% £E9°16)901)dXa + INSOWN - = LOddNON
aNS TIWIINSLOd °S'N (LOddNON) “be
S8/o ‘:G31LVWILS3S 68 = GON TD <£86T OL 4B 096T * BONY tbe]
(9°Sz) 606° = OHY %2°>- = SHT NV3H G00" = “Y°3a°S 486° = (28<SZ°T) (2ZSe2zz° ) (TO8bOT* ) (Z0%00°Z) <b * 822200" + 2b * 286000" - TD * TOZ000° - SWIL * $22200° +
(22£90°2) CCOCT=)dWN * CT-ININISON - (SLbz°2 % OOOT/S9=S * (T-)ISNI1INIION) x OO9ZEO" +
(9029Z°T) CCI * NINISOT - CSZbz°2 * OOOT/S9E %* SND1IN)ISNOT) * BG6Es0° +
(S29SZ°T) COCT=)dWN * CT-ININISOT - (SLZHz°2 * OOOT/S9S * (T-ISNITIN - (T-)INSIWNIDOT) * 996220° +
(80T&2°o) CCAM x nan)901 - (S2b2°2 * OOOT/S9E * SNOTIN - INSOWNISOT) * 9950" +
(T£S2°22) (20Tb2°G) . CCdIN ¥ NINISOT - CHIN * AJINISOT) * ZZ4229Z° + 2068S°T = (dN % NINISOT - CINSOWN + dN9N)901
4ANAWAOTdWS ONY S39'%M “a AI'N
- Tat -
OOT * (T - bxex((T-)MN/MN)) = MHIdN
JLVY TWANNY--S39VM NI JONVHD JSVINIINISd (MHIdN)
S8/> *G3LVWILS3 SZ = GON <d +86T ote +d 596T = JONVY
(6°) STb’- = ZOHY (6°6) 290°T = OHY 625°T = SHIT NVSW ZbG° = "YASS £98" = BSD
(9T9b°9) (9>9TO"6) NNN x* Tbz9GS° - Ts6T0°S = dX3dN ~- (>-JMN/OOT * ((5-JMN - MN)
(YOL93S SSINISNG JLVAINd WYV4-NON) 31Va J9VM (MN)
- SIN/CAIN - ATN) * *OOT = NAN
4AN39u3d--31Va LINSWAOTdNSNN (NNN)
OeT/NMN x* JIN = NIN
SYINNOM GJAOTdWINN (NIN)
662°0 =WNS
<It°o T00°Oo- (Z-)
S6T°O <00°0 (9-)
029°0 2T0°0 (s-)
. 299°T £20°0 (>-) 6S8°2 £y0°0 (z-)
809° 2Z0°0 (2-)
sel" 20t’°o (T-)
610" Z<T°0 (0-)
ivis-1 143039V1 ov
S8/> ?QS1LVWILSI SZ = GON <b 486T OL TD S96T *JONVU
(6°12) S26" = OHY 990°9 = SHIT NVAW £00" = “Y°S°S 666° = osud (86299°2) (9208T°9) SWIL * GS2200° + CCCI }dOdN/CI)31NISO1) % T43099V1 + <£6860°S = (dOdN/41N)301
SNOITTIW--33404 YOaVT (41N)
- 22T -
“oss
*6>8
“8be
“Loe
“9b8
((Sd3sT1N
% (CCOOTS THN) % CIABLN - T))-)IdXT - CCECSdHTIVEN/T - T) % SdddIIN) % COOT/TUN) * (IAYLN -
T))- )dXa) 3% COCSAIWEN/T - T) * Sd3ATIN - Sd3dTIN) * COOT/TYUN) * CIAYIN - TII/CCCSdHIVEN/T - T) *
Sd3sIIN) % CC Sd3dTIN/SATVEN)—)IdXT + COC CSdTIWEN/T - T) % SdadIIN) *% (CSda4dTIN/SdTVEN + (OOT/TYN) % CIAMLN — T))-))dXd - T) % (SdddAIIN SdIVEN + COOT/TUN) * CIAVLN - T))/SdddIIN/Sd IVAN = <£Sda93N
C(NOTLVID3INdAG ZOST) SATaVUNG YIINGOYd YOs NOILVID3Nd3G IJIWONOIIZ ( £Sdd93N)
(Sd3ATIN *% COOT/TUND * COAMULN - TIIZECSd34dTIN x% COOT/TUN) *% CIAMLN - TIIZCO CSdadTIN % COOT/TUN) % CDAULN - 1))-)dX3 - T) - T) *¥ 2 = 2Saaaan
(SYV3A JO WNS) S3ATEVENG Y3IINGOYNd YOA NOILVII3ZNd3d JIWONOIZ ( 2Sda93N)
(Sd3dIIN * (OOT/TEN) * CIAMIN - TII/CCSd3sSTIN * COOT/TEN) % CCIAYULN ~ T)-))dxXd - T) = TSdQ93aN
C(NOILVINIIVI SNIT LHOIVYLS) SATEVUNG YIINGONd YO4A NOILVIIINdIG JIWONODZ ( TSdaI3N)
(T-JIDIN + G2°O x IIN = IDM
ANJWLS3ANI AYOINSANI 4O NIOLS CIDIN)
yd + SdiN + GdiIN = dw
Sa9Tud 2Z26T--NIOLS WLIdVD ALVAIYd 13N G3XI4 (dN)
S°Oxx (4/290990°0 - T) * 6/SddIN + (4/290990°0 - T) % (T-)SdIN = San
S49Iud 2261 --SAYNLINULS S.YIIMNGOYd 4O AIOLS LIN 31VAIYd (SdywN)
S°Oxx (4/S29SET°O - T) * 6/Qd4dIN + (4/SZ29SET°O - T) * (T-)0dxN = AdIN
S39Iud 2Z6T--LNANdINOA AavUNd 40 AOOLS LIN JLVAIYd (addy)
S°Oxx (6/628E20°O - T) * b/UddIN + (5/6E8EE0°O - T) * (T-)YdN = Ydw
SadTUd 2Z6T--NDIOLS TWLIdVD IWIIN3IGISSY LIN 3LVAIYd (adn)
| ¥Y3NIN + ((.1LOddNON/dNON)901)730 = ((NdN)I90T) 730
“6s8
“ZS¢
“9S8
“Sse
“S98
“258
“Tse
SNIOLS WLIdvVI Way ONY ALIDVdYD *9°AI'N
- £2T -
CAMLN - T)/CYAVDAGN + OOT/dX3dN - (OOT/THYA) % CAULN - T)) % CULNVYON - (CCua4dIIN % (CCOOT/THEN) % CAMLID - T))-))dxXT - COCCHTVEN/T - T) % YFATIN)D % COOT/THYN) * CAMLN - T))-)dxA) x% (CCMIVEA/TE - T) * MaATIN - YAATIN) % COOT/THEN) * CAMLN - TIIZECCHIWENZT - T) * Ya4dTIN) x% (C MSS INA aI)- dxd + COCCRTVENZT - T) * YadTIN) * (CaaaTInetven + (OOT/THYUN) * CAYLN - T))-))dX3 - T) % CHRSIIN/ATWAEN + COOT/TIHEN) * CAMLN - T))/7eaST INVA IVEN) * AMLN - T) = YSONN
AN3WLSJANI IWILNAGISSY YO4 W1IdVD JO 1SOD YaSN Tw3ad CYOAN)
. (DAMLN - T)I/CGdAVD3GN + OOT/dX3dN - (OOT/TUN) * CIAMLN - T)) % CGdLNVYIN - Tad9NN x* (GdLNVYON * DNILN - T) * JAMIN - T) = GdonNnN
Salavuna YsaINGONd YO4 Wildvd 4O 1SO09 YASN waa (addNN)
(Gd3sIIN x (OOT/THN) * CIAMLN - T)I/CCGdadTIN *% COOT/TEN) % CIANLN - T))I/CCCGddSTIIN % COOT/TUN) % CIAUIN - T) J-)dXd - T) - T) % 2 % dSODAGN + (Gd5dTIN * (OOT/TYN) % CIAMLI - T)I/CCGddSTIN *% COOT/TUN) *% CCDAMLN - T)-))dXd - T) *% CdSODAGN - T) = TAdDNN
S31dVUNG YIINGONd HOI TW1IIdvI 4O 1S09 YASN WW3Y JO LINANOdWOD (TGd9NN)
(JAULN ~ TI/CSdAVIIGN + OOT/dX3ddN - (OOT/THN) x CIAMLN - T)) * (CC 4SdGDIN * SSODAGN * (1s69G - LET09G - T) + £SdGD4N x SSODAGN * 15690 + 2Sd093N * SSODAGN * ZETO9G + TSdGD3N * (SSODAGN - T)) * JAMIN - T) = Sd3NN
SAUNLINULS YAINGOUd YO4 WWLIdVD 4O 1SOD YASN TV3e (Sd3NN)
(CSda4dIIN * CCCOOT/TNN) % CDIAMLN - TI)-)IdxT - COOOOSZ°O ~- SdIVENI/T - T) % Sd3dIINI % COOT/14HN) % (DAMULN - T))-)dXa) * COCCS2Z°O - SdIVaN)/T - T) * Sd3dIIN ~- Sd3STIN) * COOT/THN) * CIAYNLN - T)IZCCO0S2°O - Sd1IVENI/T - T) % SdddIIN)D * CCSdAAITINY (92°0 - SdTVEN))-)Idxd + COOOOS2°O - SdIVGN)/T - ©) * SdddTIN) *% (CSddSTINA( GZ°O - SdIVEN) + COOT/TUN) * CIAMIN - T)I-))dxS - T) * (Sd3SIIN/(G2°0 - Sd1VEN) + (OOT/TUN) * CIAMLN - T))/SdddSTIN/GS2°O - SdIVEN) = Sdaz3an
(NOTLVID39Nd3G ZSZT) S3ATEVUNG YAINGONd YO4 NOILVIIINdaG JIWONOIA (4SdGI3N)
~ bLT -
“498
"£98
“2998
“198
"098
sbe°O [WAS szs°0 220°0 (2Z-) 602°0 s+0°0 (9-) 206 °0 $90°0O (s-) 622°T 260°0 (>-) 99Z°T ZIt‘0 (z-) oT"? 2oT'O (2-) Lo2°S s9T°O (T-) 909°T g6T°O (0-)
ivis-1 143039V1 sv
S8/> :031VWI1LS3 6< = GON +) 286T OL ID £Z6T *JONVY 2 =
(S°<) 269°- = OHY £68°S = SHT NV3N ZOOS" “weaves «<@S° = bSud (925056 * ) (96T69°T) (T92L29° ) <b x TS9809°T - 2b * GZ6Z2S°T + TD * 26601°T + (%bL£26°S) (28650 °2) H9O2L°S) . (T-JWOIGN * bSSB8T° - (ugariy - San) x Z2e<0T9" - IQWdHIAN * CT- WdIDIGN * (226625° + (969%b°s) (CCLIIOTAdNSANITIG * CC IIOTIGIAN/CIOTIGdIN) » % T43099V1 + e90Ez°6- = XNSdYIN - WITGGN
SNTYNL3V SNNVW--MO14.LNO WLIdvVd IN3WLS3ANI 193810 (worcian) °998
z2b°0 SbINS 9zb°0 T20°0 (Z-} 825°0 8<0°O (9-) 6239°0 Ts0°O (s-) 22£9°O 190°0 (>-) TZZ°0 990°0 (<-) 968°0 390°0 (2-) 922°0 290°0 (T-) 2240 T90°0 (0-)
AViS-1 1T43099V1 ‘
S < -
S8/> = *G3LVWI1LS3 O04 = DON +S 286T OL ID <£Z6T *3ONVY
Zoe'l = Md S%8°S = SHI NVSH $6°T = “u'a°S @&b° = 8Sud (£56890°" ) <b * 590090" + (828899°) (62569°T) (89Z25°S) (1e995°T) 2b x 629985" + ID x S6505°T + “(T-)O9TGN x 9TZ9T° - (uearTy - Tsun) x ZTZ0e" - (65555 °4) IGIdHI4N * (T-)OdIDIGN ¥ HHLZZH° + = (CC IOT4ANOAN)V39G ¥ CIOTIGRSN/( L)OTIGdIN) * T43099V1 + (<£66T'S) €€SZ¢°8- = XOSdVIN - VIOIIGGN - 30DIGGN - odIGGN
43HLO--MO014.LNO WALIdVD ANSWIS3ANI 193¥IG (ODIUGN) “S998
LDRVW IWIDNVNIS TWNOILVNYUSINI “AN
- ST -
b/(VIOIIAGN - 3209I0GN - OIIGGN) + (T-)OIIGN = OdIAaN
43HLO--Gvyouay SL3SSV INSWLS3ANI 1934¥IG IVWNIWON °S°/N (ODIGN)
>/WIIGGN + (T-)JWOIGN = WOIGN
SNTUNLIVANNYH --dvOudY SLISSV IN3SWLS3ANI 133YIG TWNIWON ‘S°N (WOIGN)
$/ddIGGN + (T-)dIIGN = dIIGN
WNI1IONLId --dvOUNaY SLISSY INSWLS3ANI 193YuIG IWNIWON °S°N (d3IGN)
dJIaagn + WOIGGN + ODIGGN = IIaan
TW1LOL--MOTJLNO WIIdVD LINAaWLSSANI 199uIG (3DIGGN)
TIt‘o *=WNS 990°T 800°0 (<-) 896 °T 610°0 (2-) T9L°E £<0°O (T-) b6T*d Ts0°0O (0o-)
dVLIS-1 1T43099V1 ov
S8/> = :Q31VNI1S3 2b = GON 5D 286T OL TD TZ6T *39NVU
(£°) 990° = OHY T6s*Z = SHIT NVAW 595°S = “YAS GB* = HSYD (6o>298b°T) (60ZTSE° ) (T-)1IGN x Z620Z2° + IdIdHIIN * (T-IdITIGN * 28660" - , (¥OTST’2) CCCT-T)IdIdN * CT-IJMNON = 13140) * TAIOBNV1 + <0vel*s- = usTidggn — WIdvan - 114dd0N
W1LOL--MOTANI WW1LIdVD LNSWLS3ANI 199UNIG ( 1Id0GN)
rm) rm) on | 4 5 ”
<10°O 200°0 (2Z-) >Z0°0 ZT0°0O (9-) S9T°O >+>0°0 (s-) eTz°0 g30°0 (>-) 6gg°0 6<T°0O (<-) g06°0 902°0 (2-) 9<0°T g8z°o (T-) T6é3°0 eZ<°0 (0o-)
1Vis-1 143039V1 eo) a
S8/> =?Q31LVWILSI 6& = GON Dd 286T OL TO <Z6T *JONVY
(Z°T) Té2* = OHY 859°2 = SHIT NVAW TZ°> = “Y'a°S 900°- = OHSYD (9990°T) CugarIia - TSUN) * 626926" - ( 206609" ) (<8T9e8°T) IG1dHIIN * (T-)ddIDIGN * YBTS6ZT" + OT4dNODIN * (dIdXVS)IT130 x ZOTOTO" - (989669° ) (CCT )OTAdNS-INIIZ0 * (CC TIOTIAGSAN/C I )OTIGdAN)) * T43099V71 + STzeb°s- = Xd9dV3N - dIIGGN
WN310813d--MO1I1NO WIIdVI INSWLSSANI 193uI0 (ddIGGN)
- 9LT -
“2Ze
“TZ
“O28
“698
“898
“L998
862°O * 6/IdddN/TIGON + €T-)dDTIGN = d21IGN
SY3N9I3ZNOs NO SWIV19 LNSWISSANI L9394IG wad (dd7IGN)
b/COTIOGSIN’ OTIAdIN)I/( VIODIGGN - AOIIGGN - OIIaGGN) + (T-)OdDIIGN = Odz9IGN
Yy3aHLO--dvONdY SL3SSV IN3SWLS3ANI LOZNIG Wad “S°N (Od9210N)
$/( OTIGSAN/OTIAdAN/WIIGGN + (T-)Wd39DIGN = Wd29IGN
SNTYNLIVINNVH --dvOuav S.LASSV INSWIS3JANI LO3NIG Way °S'N (WddZIGN)
b/COTIGSIN/OTIAdjAN)/dIIGGN + (T-)dddDIGN = dd29IGN
WNATONL3Sd --dVONdY SL3SSV LN3SWISASANI LIANIG Way *S°N (dddZIGN) $/1I00N + (T-)1IGN = 1IGN
“S°N NO SUH3NSIZYOS AM SWIVID LNSWIS3ANI 19310 IWNIWON (IGN)
- LLT -
“ZZ8
“9Z8
“SZ8
“oZ8
“£28
2/((T-)d1dN + d14N) = SAVd14N
(°SAV GOTYad) SYANSTINOA OL SAILIVIGVIT JLVAIYd (9AVd14N)
2@/((T-)d345N + d3dN) = DAVdIIN
(°SAV GOTY3d) SYANSISYOI NO SWIV1D JLVAIYd (9AVd94N)
$/N140N + (T-)91AN = 914N
(GOIdad 40 GNI) SYSN9IZNOd OL SITLITIGVIT LN3WNY3A09 (914N)
$/(S8QGSV4ANGN + G109940N - 994GN) + (T-)I9DAN = 994N
(GOTYad 40 GNI) SYANSIZNOs OL SIILIVIGVIT 31VAIYd (d14N)
$/d340N + (T-)d34dN = d3JsN
(GOINad 40 GNI) SYINIIINO4S NO SWIV1D ALVAIYd (d94N)
S8/b =? G31 VWILS3 2Z = GON 5d 286T OL TD G96T = 39NVU 6Z4S°T = MG TSZ°S = SHIT NV3W Gb6O°ZT = "Y°3S°S 402° = OBSYD
(9OT2T"2) (T9228°2) ( 92802") (2299°2) (T-)914N * 695982" - SWIL * 292626" + CCT-JOTIAN/OTIINISON * 2T@°es2 - OOLZ°ZO- = 9174G0nN
SYANSTSINOS OL SAILITIGVIT LNSWNYSA09 NI JONVHD (9740N)
4uad14Gn + dVJNGN * (S°O-) = d1J4qan
SU3NIIINOS OL SAILIVIGYIT 3LVAIYd NI JONVHD (d140N)
44ad340N + d¥VINGN * G°O = d343aN
SY¥ANOTINOS NO SWIV1D 3LVAIYd NI JONVHD (d340N)
uvysdan + OGNVAGN + Ywasv4NGN - 9940N - 914GN + JIaGN - TIGGN + IwaYNaN = dv4ANGN
“Zee
“988
“see
“$8e
“£898
“299
“Tse
“ose
“6Z28
“SZ
SMO14 TVLIdVI Y3SHLO “a°A'N
- SLT -
2/((T-)974N + 914N) = DAVDTAN
C°SAV GOTYad) SYSNSIZNOI OL SATLIIIGVIT LNSWNYSA0D (9AV91IN) 2/((T-)993N + 994N) = DAVIIIN
(°SAV GOTY3d) SYSNSIZNO4 NO SWIV1D LN3WNY3A09 (9AV99IN)
- 6ZT -
“688
“838
%/IJADVANN + 5/SVINGN + (T-)IVANN = SVANN
Sl3ssv NOIZX4Od LIN WIIITSIO JO WIOLS (OVINN) “068
SLNIWAVd 40 JONVIVE GNVY NOILINSAYNSINI WIITSIO “IAN
- OST -
430d3N + (MG41d94N)901 = (OTIGdIN)S01
OT-9 - (SLHOISM IN3WLSJANI 1934¥IG) X30NI 391d Y3SWNSNOD NOIZNOS (COTIGdIN)
GSS622 * Oxx( T2ZTO%°T % Iddd9D) * 9G6G6T"Oxx( 90ZZT°T %* Iddd3) * 9520°Oxx(H9Z2°OTT * Id3Jdf) * LTL00S°OxxIdddd = MOATdIIN
(SLHOI3M IN3NIS3JANI 193410) X30NI 391¥d Y3WNSNOD 39VY3AV G3SLHOISM NSIZXOS (MOITd4N)
YaMGNIIN + (NI9ISO1 * €2°O + (NIF) JOT * 96T°O + (NIFISOT * GZ0°O + (NID)I9OT * TOS°O = (MIGNIINISOT
(SLHOI3M IN3WASIANI 1934IG) NOILVZITIIN ALISVdVI NOIZNOS (MIGNIAN)
YAOINIAN + (NI9D)I9OT * ZTE"O + (NDZ) 901 x ST°O + (NIFISOT * STH"O + (NIDISOTN * T2T°O = (OTMINIIN)ISON
NOTLVZITILN ALIDSVdVI NOIIYOI COTMSNDIN)
Y3aXINIIN + CMXIdN9INISOT = CWMXdNIIN)SO1
(SLHOTSM JOVYHL WH3LVIIG) ALIAILIV JIWONOIA NOISYOS GTHOM (WMXdN954N)
- 96Z80T ‘Oxx( TOTOST*O * dN9D) % 96ZT* Oxx( Z6858"°T % dNOZ) * SZET'Oxx(9EZT00'O x MNO) * 2829‘ 0xx(GZ2Z0°T * dN9D) = MXJdNOIN
C(SLHSIIM JOVUL WHILVIIG) dNO JOVYSAV G3LHITISM NOIZNOS (MX4dNIIN)
¥31493N + (MLIdNDINISOT = (OTIdNIIN)SOT
(SLHOIIM JOVYL WuaLVITLINA) GND NOIZNOIJ OT-9 (OT4dNSAN)
S>SZ¢°Oxx( TOTOZT'O * dNID) x SbIZ* Oxx( 2Z68S8°T * dN) * LEbSbz°Oxx (9S2TO0"'O * MNO) * 92H9T*Oxx(GLZZ0°T * dNID) = ML4IdNOAN
(SLHSTIM JOVYUL TWYSLVIILINN) dNS 39VY3SAV G3LHOI3M NOIZNOS (ML4dN9IN)
¥Y39IN94N + CM94dNIINISON = (OTIdNDIN SOT
(SLHSI3M dND) dNO NOIZNO4 OT-9 ( OTIdNIAN)
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(SI9VUIAY GILHOIIM) SITAVINVA NOIZNOS “TIAN
- Tet -
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28. (V¥N} 6° = ZOHY (0) 2°T = ONY WN = SH7T NVSW S800" = “Y°3'S 26° = SYD CV¥N) CVN} (MLAISN)SON * 992296" + L£eST9°b = COTI3N}9071
X3Z0NI 31Ve 3ONVHIX3 YVTIIO °S°N G3LHOLI3M-30vVaL Gds ( OTIIN)
(ML4IbI3NISOT = (MLATIN)ISON
(GI-ISVND) “1M “UL “LTILINW YaND-5($79ND HOA) Alva "X43 $ “AV (ML4STAN)
ST2°Oxx((I33 * T6009°2)/226°2) * GLZ°OxK( (149 % 9STE°O)/GSSE°D) * Gb2°Oxx(( IS x ££00°0)/6T8200°0) * G9T*Oxx((I3D * Z£600°T)/200°T) = ML4IbIIN
(QI-ISWVNO) *IM "UL “LIILINW YYNI-5($79ND HOI) BLva *X3 $ “AV (ML45I3N)
ST2°Oxx(I3D x ANMOXdD) * GB2°Oxx( IFS * ANDXd]a) * G°Oxx( IAS * ANDXdD) = dWOddfN
NOILVNDA JAVUL NVdVF-"S°N S4ADIUd ONTLAdWOD AYLNNOD GUIHL (dWOIdM™M)
G92°Oxx(I3D * ANDXdD) * bz°Oxe( TS3 % ANDXd]a) * G6Z°Ox*( TSF x ANDXde) = dWOIdIN
NOILYNDA JAGVYL NVWYN3AI-°S°N SADIUd ONILIdWOD AMLNNOD GUIHL ( dWOdd9N)
GS2°Oxx(I33 * ANDXd]a) * Gb°Oxx(I39 % ANDXdD) *% GZL2°Oxx( TSF % ANIXde) = dWOIdIN
NOILYND3 30VAL VOVNVI-"S'N NI S39IUd SNIL3dWOD AULNNOD GYIHL (dWOId9N)
(C2T- OTIGAIN/( 2T- \OTIGdIAN) /COTIGAAN/OTIAGdIN) x ZT°O + ((8- )OTIAIAN/( B- JOTIGdAN)/( OL1G34N/OTIdd4Nn) x% ££°O + ((- JOTIGIIN/( $- \OTIAdAN)/COTIGSAN/OTIGdIN) * G°O = IG1dHIIN
SLH9OI3M INAWLS3ANI 193NIG (39VUSAV SNIAOW) NOILVIANI NOISXO4 ( 1d1dHI4N)
_ €9220° T/C OTIIN/OTM4IdIN) * OOT = SNIIdIN
SUuv71100 °S‘N NI G3SS3¥dX3 X3ZONI 3DIYd YAWNSNOD NOTISNOS (SNIIdAN)
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SLHSTSM JQVYL WUILVIILINN SALVa LSAYBINI WH31-LYOHS NOTRNOS (MLdSYAN) “ETE
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S.2301 TIO-NON :X3O0NI JNIVA LINN 180dxXa (ANSXdT)
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aTavIUvA J1avIUVA ATavVINVA 3TAVIYVA a1avIUvA 31aVINVA ATaVIUVA JTaVINVA aTavIUVA a1avIUvA J1avIUVA JTaVINVA a1avIUvA J1avIUVA A1aVIUVA J 1avIUVA JTaVINVA F1avINVA ATaVIYVA aTavIYvA Fav INVA J1avIUVA J1aVINVA a1avIUvA 3aTavIUvA 31avINvA ATaVIYVA J1avIUVA 31avINVA ATGVINVA J1aVIUVA a1aVIYVvA J1QVINVA JTaVINVA F1GVINVA J 1avIUVA 31avIUVA J1avIUVvA a1avIUva JIGVINVA FTQVIUVA . JTEVIAvVA ANNA a7aviIuvA AWN
AWWNG AWWNG AWNNG AWNNG AWNNG AWHNG AWNNG AWWNG AWHNG
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SAVG JO YASWON
(VSN) S391ud INJYYAD - AXOUNd JWOONT 3718VvSOdSIG $33Iudd LINIYYND - AXOY¥d SWOINI 31EVSOdSIG
(VSN) S33IYd INJuYND - JWOINE FIAVSOdSIG IWNOSYAd $39Iud 2Z6T - AXOUd JWOINI 318VSOdSId
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NOILINI430
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| NOILVNOJ | DJINOWINN
S33Tad IN38UND - LONTGOYd TVWNOILVN SSOUud
CNOTLONAS NOILINGOYd 3HL WOUA GSATHA0 JLVWILS3) dNO Ty i 1N310d S$2JIIUd 2Z6T - LINGOUNd TYNOILVN SSOUS
d09 WNIWON WN (O°T=) FZINS9OONS YO (O=) FZINIIOXS OL YALIWVYVd (VSN) Sa9T&d LNANEND - LINACYd IILS3NOG SSOUS
(VS) Sa3TYd INJEIND - LINGOdd IJILSAWOG SSOUD
dg9 WN (O°T=) AZINSSOGN] HO (0=) AZINIOOX] OL YALINVYVd
(VS) Sd3Ted 2Z6T - LaNGOdd IJILSAWOG SsoUd
SUANOI3NO4 AG 1830 YOLIIS II1IGNd 4G NOILISINOV 14N
NOLLVND3 LIDTIS3C INSWNYSA09 NI WY3L TWNGIS3Y
(a@Sd) SISVG VIN - 1LI9T430 LNASWNY3SA09
JINVIVE JGVYl JSIGNVHIYIW
(VS) S39Iudd 2Z6T - S3SVHIWNd LNSWNY3ZA09 1VYe3aN39
(G3LHSISM dN9) LNAWAOTdWANN NOIIYNOS
Q140OM 4O 1S] NO SWIVID NOIZYO4 JLVAIYd
O°T=2Z6T - X3ONI LHOI3ZN4 SANIT NVYWU39
(Q3LH9I3M dNS) 3LVeY T1Id AYuNSVaUL 39VeSAV NOISNO4
JLVY VIId AYWNSV3NL JNVYSAV NOIZYOS
S3LVa LSAYSINI WH31l INO] G3LHOISM NOISN04
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00° T=2Z6T - SLHOISM G3XI4 YOLV1430 NOILdyOSaY 39VHAAV NOIZNO4
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WLOL - SAILIVIGVIT O1104140d NOIZNO4
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(Q3LHOI3M J0VaL) dNO Wv3u NOIINO4
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3LVY NOILVIANI 39VYSAY NOISNOS d31L34dx3
SNIOLS WLIdVD JALVAIYd: NOTSYO4 NI JONVHD
: W1OL - SWIV1D O1104iN0d NOI3ZYO4
AW3SHIS YAAOD JONVHIX3S - ONIMONNOd AINSYYNI NIISYO4
(VSN) S331Tudd LIN3YYND - INSWLSArAY 1SO3 YOLIV4
(VS) Sa3Iu¥d 1IN3YUND - INSWLSNFaY 1SO) YOLIVI
(¥S) S33INd LN3¥WND - SISVd VIN - S3IGISENS
SISVa VIN - S3IGISENS INAWNYSAOD 1V3u
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SNT TALS GNNOd/SSN - 3LVY FJONVHIXA INSWLS3ANT
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. “ONT1YSLS annod/$sn - 3LYY JONVHIXT GUYMYOS HINOW 33yHL i . _ JNBWLSSANI TWIIN30IS3Y NON JO NOILVI939Nd30 JIWONOD3 6°O = NO 2:€Z O°LT = 1:2 HIROYHL SAIVILYOW NOILdO JO NOILINGOULNI - JIAVINVA AWNNG O°L = NO T:2Z 9°0 = %:TZ -, STOU.INOD LIG3YD M3N - J1SVIYVA AWNNG O°E = £:69-1:29 G°O = $399 SNOILIIUISIY FONVHIXS NOIINOI - 3TAVIVA AWWNG NOILYNOA NOILdGWNSNOD NI J1aVIYVA ANWAG
SNIOLS YalYvNe 40 GNA - LVO14 - SWI1I LISNVUL 40 709
SNOLS YBLYYND 4O GN] - SNVa "XN AV SLISOd3G SNITNALS .SV3ISYIAO SNDOLS UD GN3 - 3LVAIYd GNY JIT8Nd - SWNYE “WN LV SLISOd3G SNITUILS-NON IN3GIS3uY (VSN) S393I4d LN3MYND - HLYOM LIN NI JINVHD
(VS) S331U¥d- LNSNYND - HLYOM LIN NI JONVHD
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ANSWNYFA09 3HL 40 SLASSV NOIZYO4 LIN NI JONVHD
SYANOIZNOS OL SAILIVIAGVIT O11041N0d WSL SNOT NI JONVHD
SY3aN9TINO4 NO SWIV1D O1104.1NOd Waal INO] NI JSNVHS
U3BHLO - YOLIAS ALVAIYd “A°N NI IN3WLSAANI SVISY3SA0
Y3HLO - SV3SYSAO LNSWLSSANI SLVAIUd “XN
SMOT4NI INSWLSSANI 193NIG - SNOILIVSNVUL Y39NIW
SY3NOTZNO4 OL SAILIVIGVIT LNSWLS3SANI 1935uId NI JONVHD
SMO14iNO LNAWLSSANI 1939uI0 - SNOILIVSNVYL YISYAN
SU3NOTINO4 NO SWIV1D IN3SWLSAANI 193uIG NI ASNVHD
SISva dO@ - SYSJQIOH IWIIIS4O OL SAILIDIGVIN NI 3SNVHD
W1LOL - (SNITHILS GNNOd) SLISOd3d YO1LISS IIIANd 40 ADIOLS
W1IdvVd IWIIN3IGIS3SY 4O AVI3G JIWONOIS
WALId¥D IWILN3GISAY-NON 40 AVIA0 JINONOI3
SYOOLS YaLYyNMD 4O GN3 - SLN3GIS3Y Ad 013H SLISOd3d ONVW3d
(CYSN) S391Iud INFYNND - FYNLIGN3dX3 NOILdWASNOD 3LVATUd
(WS) S$39IYd LNFYYND - FYNLIGNAdDX3S NOTLdWNSNOD ALVATYd
ALIINJOI INNOD3V IN3YYND NI WIL TwNdIsay
JINVIVE LNNOIDV IN3IYYND
SIN30IS34 AG 013H AINIYINS
ANSWLSNFOV 3LVe NOTLVZITIIN ALIDvVdVD
4IN3943d - 31VY NOILVZIIIIN ALIDVdVS
AVG U3d S13uuve JO SNOITIIW —- NOILdWNSNOD 110
~waluvn® 40 ON3 - .IN3943d - SWNVG NO T1V9 4O 31Va WWID3dS
ANNODIDV INSYYND JAILVINWAD
(VS) S39IYd LNAYYND - JINVYMOTIV NOIIdWNSNOD W1iIdVd
(WS) S39IYd ZZ6T - JYALIGNAdXS NOILdWASNOD JLVAIud
SNIDNYNI4 1VIDI4IO 4O JINVIVE
JINVIVES JISVG
(VS) S309IYd LN3NYND - ALILNAGI dd9 NI W351 TWNGIS3Ia
NOILINI430
- 802 -
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| NOILYNDA | IINOWSNW
3LVY JOVILYON S3IL3IIOS SNIATING
31LVY IOSNOD %42/T-2
3LVY SNIONA) WNWINIW GNVISN3 JO INVG
. SINNOIDV 1LISOd3d WNVG SNTYV319 NOGNOT NO 31lVva AVG 43d S13uuvVE JO SNOITTTIN - WNATONL3d JO NOLLINGOYd “y'N 31Va NOILVIJNI GV3HV GOIY3d 3NO 03193dxX3
0O°T=2Z6T - S3DIANSS 4O S1YOdX3 YOs YOLV1AIG
00°T=226T - X3QNI ANTIVA LINN 18d0dx3
0O°T=2Z6T - INdLNO SNIYNLIVINNVN - X3GNI 391Yd 3I1VSI1IOHM AININUND INAWLSSANI NO WNIW3Nd
SONVSNOHL - SNOSU3d - NOILVINdOd “'N
00°T=2Z6T - S3DIANIS JO SLYOdWI YOS YOLV1430
CVS) 00°T=2Z6T - LYOdWI TIO-NON - YO1LV1430 1LYOdWI
CVS) 00°T=2Z6T - X3ZONI ANIVA LINN LYOdWI
(VS) OO°T=2Z6T - SISVE VIN - YOLV1330 1LYOdWI
0O°T=2Z6T - YOLV1430 dNO
(VS) O0O°T=2Z6T - YOLVIS3IG LINGONd II1S3WOd SSONI
(VS) OO°T=2Z6T - YO1V1430 IN3WISNray 1S09 YOLIV4
JOVYRSAV SNIAOW - SNOT1V193dxX3 NOILV14NI
0O0°T=2Z6T - NOIIdHOSEY IILSAWOd - YOLVIS30 LISI IdWI 0O0*OOT=226T - X30NI 3918d YSWNSNOD
31LVa WOANNY. - S39SVM NI 39NVHD 39V.1IN39N3d
31LVa TWANNY - 13A317 39TYd NI 3ONVHD 39V.1N3983d
31LVY TWANNY - TW NI J3SNVHD 39V.1N39N3d
31LVY IVNNNY - dNSD NI JSNVHD 39V.1N39N4d
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(VSN) YSLYYN® 4O GN3 - HLYOM LIN
(VS) YaLYvN® 4JO GNI - HLYOM LAN
(dO@) SMOTINI WiIdV¥) Waal SNOT WI9DIII0
SWIOLS ABLYVNS 40 GN3 _ - .IN3WNY3A09 3H1L 40 SLASSVY NOIZNO 1L3N JO AIOLS (VS) S39IYd 226T - SISV@ VIN - S3DIAN3S GNY SG009 - SluOdxX43 LAN <W - AlddNS AJNOW NI JONVHD
SWIOLS YALYVNB 4O GN3Z - WH ONITH3LS - AlddNS AZNOW NOTLVNO3 <W NI 1vWNGIS34y
SWIOLS Y3ILUVND 40 GN3 - <W - AlddNS A3ZNOW ©
SNIOLS Y3LYVNB 4O GN3 - TW - AlddNS A3NOW
WLOL - SLINSWAVd Y34SNVUL
SLN3WAVd SWOINT IN3SWLSIANI
AN3WAVd SWOINT INAWLSSANI 193410 NON
ANAWAVd 3WOINT LNSWLS3ANI 193410
W1lOl - S33IAN3S 40 SLYOdWI
S3IIANAS Y3SHLO 40 SLUOdWI
Vivd 30VY140 NOILIZYIG GNY SGN3Y1 JIWONOIS °N°N IJTIINOIZY OL WU3L TWNGISIY SIsva@ dOd - S1LYOdWI SG009 °x'N 1VLOL
-SISva dO@ - S39IAN3S GNY SdG009 JO S1YOdWI
CVSN) S33Iud IN3YYNI - SISVG VIN - SLYOdNI
(VS) S39IYd INIJNUND - SISVA VIN - SLYOdWI
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ANIVA - S1¥OdWI TIO
ALLLIN3OI SLYOdNI 1IO IWIISAHd NI WY3L TWNdIS3y
AVG U3d S13NNVEa JO SNOITTIN - SLYOdWI 110
(G04) SaDTeYd 226T - S1YOdWI SGO009 “W'N W1OL SU3INIIZNOS OL SAILTVIGVIT O1IOILYOd 3LVAIYd 4O NIOLS SY3N9T3INOI NO SWIV1D O11031NOd JLVAIYd 40 ADOLS SY3NIT3SNO4 OL SIILIVIGVIT WY3l INOT Y3SHLO 40 ND01S
SH3N9I3ZNO04 NO SWIV1D Wal SNOT Y3SHLO 40 NDO1S.
SYSNITINOA OL SSTLIVIGVIT IN3SWIS3ANI 193410 4O NIOLS
SY3N9IIZNO4 NO SWIVID INSWLS3ANI 1934IG 40 IDOLS
SLISSV W1IIdV3 IVILN30ISSY-NON JO 3411
G3NYOM SYNCH YNOdV] A1N33M
SGNVSNOHL - 39404 4oaVyl
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YOLI3S JIVWNd 3H1 OL SNIGN3] WAV NI 39SNVHD
CVS) YaLYVND JO GNF - S39TYd 226T - IWILNAGIS3Y-NON - WIOLS IVLIdVI 3LVAIYd SSOY9 (VS_) Y3aLuvNo 4O GNA - S3IIUd 226T - NIOLS IWLIdVI JLVAIYd SSOU9 SNIOLS Y3LYVND JO GNI - YOLIIS III@Nd 3H1 O1 ONIONS] WNVG 4O YI0LS (VS) Y3ILYVMO JO _ON3 - S3IIYd 2261 - LINSNLS3ANI AYOLN3ANI JO YO0LS (VS) Y3LYVN® 40 GNF - S3IIUd 2261 - ONISNOH —- WOOLS TW1IdvI JLVAIYd SSOU9 SHIOLS YALYVNH JO GNA - YO1IIS I11ANd JH1 OL SNIGNIT YNVE-NON 4O NOLS (VSN) INSWLSSANI AYOLN3ANI S3NIWNY3L3I0 - AdQ93
(VS) S39IYd 226T - INSWLS3ANI AYOLN3ANI 3LVAIUd
(VS) S39Iud 226T - INSWISSANI NOILINULSNOD WILNIGIS3AY JLVAIUd $39Tdd IN3NYND - INSWLS3IANI G3XI4 W101
(VSN) S39IYd IN3ZYUND - INSWLS3ANI G3XI4 3LVAIUd
(VS) S32IYd 226T - INSWLS3ANI TWILNAGIS3SUNON 3LVAIUd
(VS) S391Tad 226T - SNOILVYOdNOD IIIGNd - INSWLSSANI G3XI4
(VS) S39IUd 226T - LNSNLSSANI G3XI4 JLVAIYd
(VS) Sd9Tud 226T - LNSWNY3A09 WVWH3N39 - NOILVWYOS TVLIdvVd G4xI4 (WS) S39Tud 2Z6T - INSWLS3ANI G3XI4 1VLOL
(VSN) S39IYd .LN3YuND - S3ASVHIYNd LN3WNYIA09
(VS) S32Tad LN3YIND - S3ISVHIYNd LN3WNYIA09
(SLTIS) SONOS IN3WNU3A09 JO S31VS IVLOL
4O1LI3S IIWNd 3H1 Ol SNIGN31 YNVG-NON NI 39NVHD
Y3aLYVMS Yad - W1VI 4O JLVa JOVINIIYIAd NI 39NVHI
S3DIAUZS GNV SG009 NO 3°NV1Va
AN3WLSAIANI WILIN3S0ISSY S3ALLNJINI XVL
AN3WLS3ANI IWILN3SGIS33-NON S3AILNSINI XVL
NOLLINI430
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| NOILVNDA | IINOWSNN
WIIN3GIS3Y - 3LV8 NOILVII34d3aG0 JIWONOI3 TWILN3GIS38-NON - 31V8 NOILVI93Nd30 JIWONOD3
SISVG VIN - 19390 .LN3NNY3A09
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W101 - SiTSOd30 GNVW3d
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SONVG AG G13H ADNAYNS
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A3NOW NYE TVYIN3ID JO ANIVA G3LVINIIVS
AANOW INV TWeIN3D JO SNIVA TYALOV
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$1d1I333Y 3JWOINT INAWLSJANI 1LISNIG-NON
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(A109X3=) SLYOdX3 TWNIWON Ol INAWLSNrayV
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(YSN) S4d3Tud 2Z6T - SISVE VIN - SLYOdx4
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ANTVA - SLYOdXd 110
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00°OOT=2Z6T - SNTYNLIVINNVW NI 3LVY 3OSVM ATYNOH
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XVL SWOONT JO 31VY GYVONVIS
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| NOLLYNDI | IINOWANW
WLOL - SADIANSS 40 SLYOdWI
WLOL - S3DIAYIS YSHLO 40 SLYOdWI
S3DIAUNIS YBHLO 40 SLYOdWI JLVAIYd
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(YSN) S391¥d LNAWYND - SISVE VIN - SLYOdWI
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(WSN) S39IUd 2Z6T - SISV@ VIN - SLYOdWI
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yoav1 40 SYNOH WVLOL 4O X30NI
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(VSN) S39IuYd 2246T - INSNIS3ANI AYOLNSANT
$39Iudd 226T - LIN3SWLS3ANI_AYOLNJANT
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00°T=2Z6T - YOLV1430 NOILduOSay NOIZYNO4
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NOTLINI33q
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| NOILYND3 | DJINOW3NW
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3LVY LNSWAOTdWANN
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(VSN) 3AN3AZYN LNSWNYSA09 1VLOL
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NOILINI430
- ete -
(90X43) TWIMS (90X34) CWLMS (90X34) IWLMS (90X43) SWIMS (90X3) SWiM9 095 i) G9 NAS GLb ~y3ons LLo AYNINS 9Ld ¢YNINS 092 YSNALS (90X43) JAULS (90X3) AYLS sgt SNANVULS 6Ty WadNVaULS eA) dais (90X43) 90.19 Ley ails (90X43) 10S9 (90X32) WOdYVHSS bed ass 9Td Twas (90X43) AGAJSVSS. (90x4) AINXIVSI (90X43) MNIVSS (90X43) AINWAVSI (90X3) msavss (90xX3) AITAVSS (90X34) II4vVS9 (90X34) AJdIAVSI. (90X43) 94ISVSI (90X34) AdNIIAVSS (90X32) 994VS9 (90X34) A24VSS (90X3) Wa34VSI 925 AWILUS Leo Avysus sug (90X43) alu (90X3) asus (90X43) agus 62> 249, Od wus cep 1401149 osy 30117489 8zb Tas Ged | dug 9b ravsays (90X43) aus (90X33) 10d9 65> Td9 osb ANDXd9 (90X34) dOd9. 9g TVIONWNdS Tab ANSWd9 Sb INSSWd9 6o> dId3 <a> dN9d9 sab dX3d9 Lg wWoad9 ra Id3d9 L9% MHId9 sg dH3d9 £eo TWHId9 LS dNSHId9 Lob WaIHId9 Bob ebb ggHio3 89 ole YMNO L9E VSNDIMNS 99% VSNAJIMNI. 69 (90X23) gad9ONS (90X43) VISNS 26d SVAN sty INXLINS Tob GOONS co <W9 Teo eh 62 dIwgo oz T OS AdNVaLWS (90X44 ) ASNVULWS G62 AASWS £6 AGNASHS 26 AGASWS
| NOTLYN®I | JINOWINW
L3N - SWIV19 O11041N0d W351 SNOT NI_ASNVHD
($SN) SLHOI3M G3XI4d - dNS NOIANO4 J9VYE3AV G3ILHOTAM SWIV19 NOIZNOS AG GSLHOISM - NOILVZITITILN ALIDVdvI 39VeaAV NOTIYOA ($SN) SY3NIIZNO4S NO SWIV1D OI104LNOd IVISNVNIS SYAN9IZNOI NO SHIVID O11041NOd WIINVNIS
3Llva JONVHIXS LAWUVW OL JLVY NOISH3ANOD LYOdx3 JO OTLVY ($SA/N3A) 3LVa NOISYSANOD 1LYOdx43
ALva JONVHIX3S JIWVAZAV G3LHII3M
SHIV19 NOIZYOJ AM GALHOI3M - 31LVY 3ONVHIXS
(N3A/$SN) 3LVY JINVHIX3 LOdS
31Va JONVHOXS LBWVW OL JLVY NOISYFANOD 1YOdWI JO OILVY ($SN/N3A) 3LVY NOISYSANOD LYOdWI
(N3A/$SN) X30NI 31Va FJONVHIXA 10dS
WIOLS WLIdVI WOIISAHd JO NOILVI9D3Nd30 JO Jive
133HS JOINV1Vd dO@ NO SNOISSIWO GNY SYOuds
SLISOd30 NJA 33u43 NO STOULNOD YOJ JIAVIUVA AWNNG S1ISOd3ad WLOL
SUINIIZNOS OL-S3IILITIGVIT SNTDINVG-NON Wu3l LYOHS NI JONVHD SUINIIZNOI OL SASILIVIGVIT ONINNVE WSL LYOHS NI JONVHD SUaN9IZNO4 NO SWIV19 SNDINVE WY3L LYOHS NI JSNVHD
(VSN) 3LVY ATHSLYYND - S39TUd IN3YYNI - HLYOM LIN NI 39NVHI 3LVa ATUSLUYND - S3IIed LN3YNND - HLYOM L3N NI JONVHD CALILNSGI dO@) SMOTSLNO 3LVAIUd L3N NI JONVHD
($SN) LN3SWNY3ZA09 3HL JO SL3SSV NOIZXO04 L3N NI 39NVHD ANSWNYAAOD 3HL JO SL3SSV NOISYOS LIN NI 3ONVHD
($SN) SAILITIGVIT 011041NOd 3LVAINd WH3L SNOT NI 3ONVHD ($SN) S3JILIVIGVIT O11031N0d WY3L SNOT NI JONVHD S3ILIVIGVIT O1104LNOd WY3L INOT NI 3ONVHD
($SN) SWIV1D O11041NOd WY3L SNOT NI JONVHD
SWIV19 O11041LYOd WY3L SNOT NI 3INVHD
S3ILIVIGVIT WH3L SNOT Y3SHLO NI 39ONVHD
($SN) S3ILIVEVIT 1934uId WHdl SNOT NI 39ONVHD
SUINSIZNOS OL SIILIVIGVIT 1IN3WLS3ANI 1335uId NI 39NVHD ($SN) SYIN9IZYOS NO SWIV1D INSWLS3ANI 1LI3NTC NI 39SNVHD SU3N9IZNOS NO SWIV1D JNSWIS3ANI 193410 NI 39NVHD SLISOd30 1IN3WNY3IA09 SSILIYOHLINY AUV.LINOW
($SN) SLHSI3M G3XIJ - dNO NOIZNO4 NI 39NVHD
SIN3GIS34 Ad G13H SLISOd30d GNVW3Id
S301Yd IN3YYND - 3SYNLIGN3SdX3 NOILdWNSNOD 3LVATad
($SAN) JINVIVE LNNODDV INAWND
JINVIVE INNOJDV INSYYND
. SNVG AG G13H AINSYNI
BLVAIUd - SINIGIS3Y Ad G13H ADNSYUNI
3LVY NOILVZIIIIN ALISVdV)
BWN TOA - NOILdWNSNOD 110 . X30N{T 419/904
__ LNAWNY3ZA09 NO SWIV1D S3ILIYOHINY AdvVL3NOW
(VSN) S391ad IN3YYND - JINVMOTIV NOILdNNSNOD IWLIdv9
$391ad IN3YEND - JONVMOTIV NOILdWNSNOD IvLIdvo
$39IUd IN3XUND - JINVMOTIV NOILGWASNOD WLIdvI 3LVAIUd
AN3WU3A09 AG NOILdNNSNOD WWLIdvd
S$391Ud 2261 - 3YMLIGN3dX3 NOILdWNSNOD J3LVAIUd
SYNVG 31VIS TIVWS AG 073H SLISOd3G 3WIL 4O 3YVHS
SYNVG 37VIS WNIG3W AG OTSH SLISOd3d 3WIL JO 3YVHS
SYNVG 31VIS 39YV1 AG 013H SLISOd3d 3WIL JO 3XVHS
"dO4 + “OV 4O WNVG JALLVYSdOOD WWYIN3D 3HL AG G13H SLISOd30 3WIL JO JYVHS SNVE 31VIS TIVWS Ad G13H SLISOd3G GNVW30 JO 3YVHS
SYNVE 31VIS WNIG3W AG G13H SLISOd30 GNVW3G 4O 3YVHS
SNVE 31VIS 39YV1 Ad G13H SLISOd3d ONYWAG 4O JYVHS
*u04d + “SV JO WNVE SAILVY3d0OD TVYINID 3HL AG O1SH S1LISOd30 GNVW30 40 JYVHS (O°T OL 1¥NBI 13S) ANOXdI YO NOTLVNDA NI YSLaWVUVd
NOT.LYND3 on aONt 3N1IVA LINN LYOdX3 S3IMLNNOD IWIYLSNONI WOH-NON NI ‘IwndIsaa O°T=ZZ6T - S3IMLNNOD IW IYISNGNI WOW-NON °X30NI_3N1VA LINN LuOdx4 (X30NI) S3IYLNNOD TWIYISNGNI SN-NON NI 1NdinO YO4 AXOUd
(VSN) S39IUd INJYYND - SWOINI JIGvSOdSIG G3ILVINIIVI
(VSN) S39IYd IN3YIND - 3WOINT 37GVSOdSIa
S$391ud INJYUND - JWOINI 371GVSOdSIG
$39IUYd 2261 - AXOUd 3WOINI 31GVvSOdSIG
ALVAIYd - S1dI393N YIISNVAL
. $1d13934 Y34NVUL LNSWNYZA09
. $1dI393Y JWOINT INSWLSIANI
S1d1393Y 3WOINT IN3WLS3ANI 1I3NIONI
S1d1I3934 3WOINT INSWLS3ANI 193YIG
W1LOL - S3DIANIS 4O SLYOdX3
WLOL - S3DIAN3S Y3HLO JO SLYOdx3
S3IIAUSS YSHLO JO SivOdX3 JLVATUd
$1d1393Y LINNOIDV 3DIAN3S LN3WNY3A09
. SIS¥@ dO@ - SLYOdxX3 SGOOS NYWYAD WLOL
SISva dOd - S3IIAUN3S GNY SGOO9 4O S1uOdx3
(VSN) S391ud INJYYND - SISVG VIN - S1¥OdxX3
$391Ud LN3YUND - SISVd VIN - SLYOdX3
(VSN) S39IUd 2461 - SISV@ WIN - S1¥0dx3
. $39IUd 22461 - SISVG VIN - SLYOdX3
SLoNdodd WNIIONLId JO SLYOdx3
$39IUd 2261 - SL¥Odx3 S009 NYWH39 IWLOL
($SN) SLYOdNI S009 NVW39 W101 NI “S'N 4O 3YVHS
($SN) SLYOdNI SG00S NVWU3I9 W1OL JO I3d0 WOUS SLUOdWI TIO 40 JYVHS
NOILINI430
- £12 -
$99 adysr 2389 M4dN94F 689 M34NIISC 589 ad3ar £89 ddsr (90X34) ~ugx3ar SL9 9x3ar ¥S9 Mjiuar £29 M34¢Nar 229 yar (90X33) ~wswar 9L19 SWar 619 Tar Lo9 d3093° (30X3 ) OaNv3r st9 agAsAar 909 iar 699 yuLSar 299 1aLsar 999 Jaisar £eg VSNMNOC gzs MNar 699 dv3Nor 2149 asv4jnqr 8l9 Sv4Nar (90X3 ) (1dd110r (90X3) ajdl1ar £99 1ditar 199 a3di10r 299 IdL 10°F (90xX4 ) HLOTLIGOF (30X43) qiai10r 239 14g110° 0s9 qd0170r Ts9 3q170r (90X43) AA90r 899 M4ddN940r $09 gar 91S ASr 109 J 1vaunor 209 Wweaunor 609 aunor £09 —- . anor 209 nor 06S . Toor (90X3) adore (90X3) AASIL £2S YSNAVIIC 22S AV39r 2ts AdVIIF (90X33) ASVIIF 60S ar (90X43) siLar (90X3) wWiar (90X3) Wer (90X43) vier (90X43) saar (90X34) waar (90X34) daar (90x43) yaar (Wavd) WVddXdI (90X3 ) yaANOXdI . £26 ANSXdI (90X33) AlddNSII SS IVSNAGAI (90X33) VSNAGAS SS AGA. 992 GA9 90 AdNVaLX9 (90X3) ASNVULXS 20% AASXI. SOb AGNASXS, +05 AGASX3. 606 ASX3 805 AOSX9 £0 AdOSX9 (90X3) ASOSXI 68: AIX Ot ASSX9 It SAINSSXI ety AINSIXS <td SINSIXI >To INSSXI (90X43) VOIX 062 9X (90X32) NALMS (90X3 ) OWLMS
| NOILYND3 | DJINOWSNN
Tar SNIWN3130 O!. (T=) aTur ONY (O=) VIUF NOILVNDT N33ML36 3JSOOHD OL Y3LSNVUVd (Wad) Tacavde
00°T=226T - YOLV1430 NOILdyOSaV £29 dt SL3SSV Q3I4ISSVIINN SAILINOHLINY AYV.LINOW (90X3) HLOr
HLUOM .L3N 65S MNC
NOILLISOd JN3WNYSA09 13N 229 dONT
($SN) INAWLSACGY NOLLVAIVA SNIGNIINI IN3WNY3AG9 3HL 4O SL3SSY NOIZUS4 LN 40 YO01S 299 GLOVANC ($SN) INO S,.YdS - NOILISOd 4WI - S3AN3S3Y Q109 - ZL3SSV NOIZYNOI 13N 190X3) aoov 4Nr ($SN) INSWNU3A09 3HL 40 SLISSV NUIZ4O4 L3N JO NOO1S 039 asv4nr
ANSWNY3A09 3HL 4O SL3SSW NOI3ZYO4 13N JO NIOLS 629 9SvANC
S30IUd 2261 - SISVA VIN - S3dIAUSS GNV SGOO9 4O SLYOdxX3 13N 669 INXLINC
2W - AlddNS ASNOW (90X3) ewr
IW - AlddMS AJNOW . 209 Iwe
$39IUd IN3XNND - SINSWAVd Y3S4SNVUL SZS ANVULWe
BIVAIYd - SIN3WAVd Yd4SNVEL 59S AdNVU.LWC
AN3WNU3A09 - SINSWAVd Y3SdSNVUL (90X3 ) ASNVALWe
($SN) SIN3WAVd 3NOODNT INSWIS3ANI 499 GAASWr
SIN3WAVd 3WODNI LN3SWLS3SANI 899 AASWC
(N3A) SINSWAVd JWODNIT INSWIS3ANI 1LI3YIGNON £96 AGNASWC
(N3A) SLINSWAVd JWOONI IN3WLISSANI 193410 296 AGASW
W101 - S39IAN3S 4O SLYOdWI 69S ASW
($SN) WLOL - S3DIANSS Y3HLO JO SLYOdWI Sl¢ GAAOSWr
WLOL - S3DIANSS YSHLO JO SLYOdWI 999 AOSWr
BLVAIUd - S3DIAUSS Y3HLO JO SLYOdWI 99S AdOSWr
AN3SWNYUZA09 - 3JNOINI LN3WIS3ANI NVHL Y3HLO SINSWAVd INNODDV 39DIAN3S 11V (90X3 ) ASOSHr ($SN) SINSWAVd 3WOONT IN3WLS3ANI 193410 2L4S GAAGSWr
NOILVNDA I3d0 HONS SLYOdWI TIO NI ADNVd3YISIO IVIILSILVIS (90X3) waaorner
($SN) SISV8 dOd - SLUOdNI SGOCD 3SASNVd¥r 1VLOL GSS GgAoWr
SISVG dOd - SLUOdNI SG009 3S3NVd¥r 1VLOL 95S ASW
SISVa dOd - S3IDIAUNRS ONY SGO009 4O SLYOdWI OLS ASOSWF
(VSN) SJ9Iud IN3YYND - SISVa VIN - SLYOdWI- 2Zq SAINSOWP
$39Iud IN3XUND - SISVA VIN - SLUOdWI lS AINSOWS
(WSN) S39IUd 2Z6T - SISVA VIN - SLYOdWI 12s SNINSOWT
S390IUd 2261 - SISVG VIN - SLYOdNI oLS INSOWC
3NIWA - SLYOdWI 110 LoS A109Wr
NOILYNDI SLYOdNI TIO JO 3WNIOA NI ADNVd3NISIG IVIILSILVLS (90X3) 43 109Wr
A3WNIOA - SLYOdNI 110 965 OSWr
Saolud 2Z6T - SLYOdNI SGO09 JS3NYd¥f 1VLOL 29S Owe
SU3NNOM OO0O0T) @3A01dWANN 4O Y3AaHNN 069 nic
($sn) sariavr OI1031N0d WH3L SNOT 4O XDO0LS 999 aqidLir
ALVY INILVOTS - ($SN) SWIV1D O11041N0d W321 SNOT JO NDO0LS S99 atddL1¢ SY3N91aNOS NO SHIV1D OT1041NOd WYIL-9NO1 JO 3NTWA NOLS (90X3 ) aqodd11¢r
($SN) SWIV1D OI1041NOd Waal SNOT JO D01S 099 add.3¢r
L3N - SWIV1D 1939NIG WY3L SNOT NI 3JONVHO £99 anaLmr
- (SNOSU3d O00OT) 39N04 YOayT 959 40r
: . JNAWAO1dW] £9 31°
3ONVHOXA ‘NOTaNO4 GNV 0109 SNIGN1DX3 SINSW3AOW ASNOW WY3L LYOHS NI JONVHO (90X3 ) sar , . WILIIN30IS3Y - WOOLS WiIdvd 3LVAIYNd SSOU9 £59 yd IWILIN30IS3U-NON - WOOLS WiLIdvVI JLVAIYd SSOUd 59 YNd yr
WOLS WLIdVd 3LVAIUd SSOND $9 dr
; ANSWLSSANI AYNOLNSANI 40 3901S 959 Inr
(VSN) S39Iud AN3YYND - INSWLSSANI AYOLNZANI 12g YSNAIIC
S$39IUd IN3YYND - IN3SWLS3ANI AYOLN3ANI 02S ALI
SNIOLS NI 3SV3YINI - NOILYWYOS TWLId¥D IILN3WOd SSOU9 (90X43) rr
(VSN) S39IY¥d IN3YYND - LNSWIS3ANI G3XI4 JLVAIUd 61S VSNAdJIC
S$33IUd INFXUND - INSWIS3ANI G3XI4 JLVAIYd gIs AddIC
S$30IUd 2261 - INSWIS3ANI TWIIN30IS3Y 3LVAIYd I1¢ uddIer
S$39Iud 2261 - ANSWLS3ANI WWIIN3GIS3YNON JLVAIUd ors YyNdsIC
S$30Iud 2261 - INSWIS3ANI G3XId 3LVAIUd zts d4jIr
(VSN) S39Iud IN3XYND - LINSWIS3ANI G3XI4 LN3WNY3A09 25g VSNASSIC
S$39IUd INZXYND - IN3SWIS3ANI G3XI4 LN3SWNY3A09 Iss “ADSI
AINSWNUSAOS AG INSWLS3ANI G3XI4 (90X3) 94Ir
QG3XYOM SYNOH ATHLNOW 39VESAV es9 Hr
(VSN) S39IYd IN3YYND - S3SVHIUNd LNSAWNYZACS . Oss YSNASr
S39IUd IN3YYND - S3SVHIUNd LN3WNYIA09 629 Agr
S39IAUN3S GNY S009 NO 3°NV1Va 86S Ivasor
AWIAN3GIS3U-NON - (S3ALLNFINI XVL) SLNVES IN3WNY3A09 (90X3) YNINVUSr
(VSN) S39Iud IN3UYND - LONGOYNd TVNOILYN SSOU9 STS VSNAdNOC
$39Iud IN3YUND - LONGOUd IWNOILVYN SSOUd 51S AdNOC
dN9 WIIN3L0d 629 LOddNOr
S$39IUd 2261 - LONGOYd TWNOILYN SSOU9d <1S dNor
SISV@ VIN - 1LI91430 LN3WNY3A09 SEs 4309¢
1930 IN3WNY3A09 JO NI0LS 9G .aaaor ° JONVIVa J0VUL 966 qweor -
S3SVHOUNd ANSWNYZAG9 ‘1va3N39 (90X3) or
SLH9I3M G3XI4 - S3LVY LSFNFLINI WH31-LYOHS 39VN3AV NOIIYNO4 £69 mssaser
SIHOI3IM ALITIGVI1 G3XI4 - S3LVY LSAYSINI WU3L LYOHS 39Ve3AV NOI3ZNOS S69 M14Sa4¢ SLHOISM WIV1D G3XI4d - S3LVY LSSYSINI WY3L LYOHS 39VY3AV NOI3YO4 +69 Mo4dSUIC SLH9I3M 1LYOdxX3 G3XI4S - S3IIIYd LYOdX3 39VUZAV NOIZNOS 169 MN4d9Xds5e
00°T=2Z6T - SIHOI3M O3XI4 - S3IDIYd SLYOdX]a 3OVUZAV NOIFNOS 269 MLIXdde 00°T=2Z6T - YOLV1430 dNO NOIZNOA Z39VURAV G3193dx3 869 TdNOdse
($SN) 00°1=2Z6T - SLHOI3M G3XI4 - YOLV1430 dNO NOIZUNOA JIOVASAV GALHOI3M 969 M4dN9d5 00°T=2Z6T - SWIV1D NOIZNOS AD GILHOI3M - YOLV1430 dNO AIVASAV NOI3YOs 989 J4dN9d4d¢r Q3SVd dNO -NOLLVIANI 391Yd NOIIYOS O3193dx3 469 dX3N9d5r
00°T=2Z6T - SLHOI3M G3XI4d - YOLV1430 NOTLduOSaVY J9VA3AV NOI3YO4 069 M4dar ANNOIJSIO JONVHIX3 GYVMO4 HINOW 33yHL 149 asrauosr
-S$Y3N9SI3NOI OL SIILITIGVIT O110J1NOd WIDNVNIS $89 d1s¢
(Tt €Z WaLAY T) GOIWAd 3LVY ZONVHOX ONILVOT4 YO4 ANWNG (90X3 ) 1vo1se
NOILINI430 | NOLLYNDI | JINOWSNW
- oT2 -
MOU + SAIUANNOD WOW WON4 SLYOdWI 4O JYVHS V SV MOY HONA SLYOdWI (90X34) AZ IAIN
MOU + SAIYINNOD WON WOU SLYOdWI JO 3JYVHS V SV “S°N JHL WOUNS SLYOdWI (90X35) AMLWLIMT MOU + S3IMINNOD WIN WOUS SLYOdWI 4O JYVHS V SV J3dO woud SLYOdWI (S0x3) AQLLALLMT MOY + SAIMINNOD WOW WOUd SLUOdWI 4O JYVHS V SV $:301 WOUS SLYOdWI (90X3)} ALLWIMC MOU + SAIYINNOD WON WOU SLUOdWI JO JYVHS V SV S3IYLNNOD WOW-NON WOY4 SLYOdWI (90X43) ATLWLIMC MOY + SAININNOD WOH WOU SLYOdWI 4O 3YVHS V ANVWYaS Wous SLUCdWI (90X43) ASLWIMT
MOU + SAIMINNOD WON WOU4 SLYOdWI 4O JYVHS V SV “M'N BHL WOUS SLYOdWI (90xX3) ALLWLMC MOU + S3IMINNOD WON WOUS SLYOdWI JO JYVHS V SV VOYNVD HONS SLYOdWT (90X34) ADLALMC LGUrMr NI ASNOW GaMONNOd JO 39V1INI9UId (90X34) aurmer
ONIUNLIVANNWN NI 31ve 39VM ATYNOH S29 Mr
SL3SSV NOIZYOs L3N 4O NOOLS 3HL NO INAWLSNGV NOILVNIVA 189 Gar
3Lva LNaWAOIdWANN Tb9 Nar
(N3A) SYANDISNOS OL SIILITIGVIT JLVAIUd “S'N dO SOLS (90X43) Ad14Ne
WWLIIN3GIS3Y - WLIdvd 40 1SOD YaSN WW3u 659 yaar
WILN3GIS3Y-NON - WVLIdvd 40 1SO9 YaSN_1V3e 8o9 ¢yNINC
(VSN) 3NN3A3Y LN3WNY3ZA09 WLOL oe YSNALC
3NN3A3Y¥ LNSWNYSA09 IvLOl 82g Alc
OILVY XV1 SWOINI jALveoddOD (90X43) SAMLC
OILVY XVL ANOINI IWNOSU3d (90X4 ) AULe
(VSN) YOLDAS ALVAIYd OL SYASSNVYL LNAWNY3SA09 <£2G SNANVULC
$39Iud INSYYND - YOLIIS JLVATYd OL SYA4SNVUL LNSWY3A09 Lea ANVULE
JONVIVE INSWAVd Ya4dSNVaL 009 TW ONVULe
SIN3GIS3Y AG Q13H SLISOd3ad 3WIL S09 air
13N - SUSN9TIXO4 NO SWIV1D SNIYNVE Waal LYOHS 40 NIOLS 399 ‘ease
SY3N9IIZNOS OL SAILIVIGVI1 SNTANVYE-NON Waal LYOHS dO SOLS 029 Sr
($SN) SLISOdaG N3A 3344 “ 869 GA1aisr
SYANOISYOS OL SAIILITIGVI1 ONIWNVE Waal LYOHS 40 WIOLS _ 299 Taser
NOILYND3 SYINIISNOs NO SWIV1D O11041NOd IWIDNVNIS NI ADNVdSuSISIG IWOIILSILVIS (50X3} yaaisr SY3NDIZNO4 NO SWIV1D ONIWNVE Weal LYOHS 40 WIOLS 959 oaisr
AVG u3d SIZeUVa 4O SNOIITIW - NS0LS 110 (90X3) 10s
(Q3A0W3Y SLYUOdWI) dN 4O FYVHS IILS3WOG (90xX3 } woauvHsr SJYUNLIN3GAG WNVE 4O 3NIVA LNAYYNI_INIGNVLSLNO (90X%3) 33S give ugs/$sn (90X43) aivaNasr
IN3WLSNCOY NOILYNIVA SNIGNIDX3 SNOILVSOTIV Yas JAILV INNS (90X3) avauasr S39IAUN3S NO JINVIVE L639 waser
AGAr - YOLIV4 LNSWLSNraV VNOSV3S (90X3) AQASVSr
AINSSXP - yOLIV4 LNAaWLSNrGy IWNOSV3S (90X34) ‘AINXAVSE
INSOX? - YOLIVA INSNLSNFdY IVNOSVAS (90X43) INX4VSC
ALF - 4OL9v4 INAaWLSNraV IWNOSV3S (90X43) ALAVSr
ANVULT - YOLIVS INSaWLSNraY IVWNOSV3S (90X3) NVULAVSS
AINSOWC - YOLIVS LN3WLSAray TWNOSV3S (30X43) AINHAIVSC
INSOW? - YOLIVS INSWLSArdY TWNOSV3S (90X43) TNAAVSC
AIIF - YOLIVS LNSWLSNCGY VNOSV3S ‘((90X3) . ALIISVSC
AdsIf - YOLIVA INSWLSArGY TWNOSV3S (90X44) AdsISVSC
ASSIF - YOLIV4 LNAWLESNCGY TWNOSV3S (90X34) Ags TAVSE
: Aor - yOL2v4s INSWLSNraY JWNOSV3S | (90X32) ASsvsr
AdNOP - yOLIV4 LNSWLSNCaV TWNOSV3S (90X3) AdNSAVSE
. MNOr - YOLIv4 LN3NLSNray IvNOSV3S (90X43) MNGAVS
- Avoor -'40L9v4 IN3WLSNCaY IWNOSV3S (390X3) AWI394VSC
. $3AUN3S39 SS3IX3 (90X32 ) xur
S1ISOd30 3WIL YV3A 3NO NO 31V8 1S3031NT (90X3) aLur
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Cite this document
Hali J. Edison, Jaime R. Marquez, & and Ralph W. Tryon (1986). The Structure and Properties of the FRB Multicountry Model Part I: Model Description and Simulation Results (IFDP 1986-293). Board of Governors of the Federal Reserve System, International Finance Discussion Papers. https://whenthefedspeaks.com/doc/ifdp_1986-293
@techreport{wtfs_ifdp_1986_293,
author = {Hali J. Edison and Jaime R. Marquez and and Ralph W. Tryon},
title = {The Structure and Properties of the FRB Multicountry Model Part I: Model Description and Simulation Results},
type = {International Finance Discussion Papers},
number = {1986-293},
institution = {Board of Governors of the Federal Reserve System},
year = {1986},
url = {https://whenthefedspeaks.com/doc/ifdp_1986-293},
abstract = {The FRB Multicountry Model (MCM) is a linked system of five quarterly national macroeconometric models of the United States, Canada, Germany, Japan, and the United Kingdom. The MCM emphasizes international linkages, and has equations for trade in goods and services, investment income flows, and exchange rates. This paper documents the current version of the MCM. The paper describes the theoretical structure of the model, and presents the empirical estimation results. The paper also describes a series of simulations of fiscal and monetary policy scenarios and external shocks. A complete listing of the model is given in an appendix.},
}