Are Long-Term Inflation Expectations Well Anchored in Brazil, Chile and Mexico?
Abstract
In this paper, we consider whether long-term inflation expectations have become better anchored in Brazil, Chile, and Mexico. We do so using survey-based measures as well as financial market-based measures of long-term inflation expectations, where we construct the market-based measures from daily prices on nominal and inflation-linked bonds. This paper is the first to examine the evidence from Brazil and Mexico, making use of the fact that markets for longterm government debt have become better developed over the past decade. We find that inflation expectations have become much better anchored over the past decade in all three countries, as a testament to the improved credibility of the central banks in these countries when it comes to keeping inflation low. That said, one-year inflation compensation in the far future displays some sensitivity to at least one macroeconomic data release per country. However, the impact of these releases is small and it does not appear that investors systematically alter their expectations for inflation as a result of surprises in monetary policy, consumer prices, or real activity variables. Finally, long-run inflation expectations in Brazil appear to have been less well anchored than in Chile and Mexico.
Board of Governors of the Federal Reserve System International Finance Discussion Papers Number 1098 March 2014 Are Long-Term In(cid:13)ation Expectations Well Anchored in Brazil, Chile and Mexico? Michiel De Pooter Patrice Robitaille Ian Walker Michael Zdinak NOTE: International Finance Discussion Papers are preliminary material circulated to stimulate discussionandcriticalcomment. ReferencestoInternationalFinanceDiscussionPapers(otherthan an acknowledgment that the writer has had access to unpublished material) should be cleared with theauthororauthors. RecentIFDPsareavailableontheWebatwww.federalreserve.gov/pubs/ifdp. This paper can be downloaded without charge from the Social Science Research Network electronic library at www.ssrn.com.
Are Long-Term Inflation Expectations Well Anchored in Brazil, Chile and Mexico?∗ Michiel De Pooter Patrice Robitaille Ian Walker Michael Zdinak † † Federal Reserve Board of Governors First draft: March 2013 This draft: March 2014 Abstract In this paper, we consider whether long-term inflation expectations have become better anchoredinBrazil,Chile,andMexico. Wedosousingsurvey-basedmeasuresaswellasfinancialmarket-basedmeasuresoflong-terminflationexpectations,whereweconstructthemarket-based measures from daily prices on nominal and inflation-linked bonds. This paper is the first to examine the evidence from Brazil and Mexico, making use of the fact that markets for longtermgovernmentdebthavebecomebetterdevelopedoverthepastdecade. Wefindthatinflation expectations have become much better anchored over the past decade in all three countries, as a testamentto the improvedcredibility ofthe centralbanks inthese countrieswhen itcomes to keepinginflationlow. Thatsaid,one-yearinflationcompensationinthefarfuturedisplayssome sensitivitytoatleastonemacroeconomicdatareleasepercountry. However,theimpactofthese releasesissmallanditdoesnotappearthatinvestorssystematicallyaltertheirexpectationsfor inflation as a result of surprises in monetary policy, consumer prices, or real activity variables. Finally, long-runinflationexpectations inBrazilappear to havebeenless wellanchoredthanin Chile and Mexico. Keywords: Inflation targeting, survey expectations, inflation compensation, Nelson-Siegel model, macro news suprises, Brazil, Chile, Mexico JEL classification: D84, E31, E43, E44, E52, E58, G14 ∗We thank Refet Gu¨rkaynak, Andrew Levin, Jonathan Wright, participants at the 2013 Research Conference of the International Journal of Central Banking in Warsaw and the 2013 LACEA Meeting in Mexico City, and seminarparticipantsattheFederalReserveBoardandtheBankofMexicoforveryhelpfulcomments. Wealsothank RiskAmericaforkindlyprovidinguswithdataonChilean bondyieldsandProveedorIntegraldePreciosfordataon Mexican bond prices. The views expressed in this paper are solely the responsibility of the authors and should not be interpreted as reflecting the views of the Board of Governors of the Federal Reserve or of any other employee of theFederal ReserveSystem. †Corresponding authors. Board of Governors of the Federal Reserve System, Washington, D.C. 20551; US. Tel.: (202)452-2359. E-mailaddresses: michiel.d.depooter@frb.gov (M.DePooter),patrice.robitaille@frb.gov (P. Robitaille), ian.a.walker@frb.gov (I. Walker),michael.g.zdinak@frb.gov (Michael Zdinak).
1 Introduction Nearly 30 countries have adopted inflation-targeting frameworks, driven by a conviction that defininganexplicitinflationtargetandcommunicatinghowthecentralbankwillstrivetomeetthatgoal is the best monetary policy strategy for maintaining inflation at a relatively low and stable level 1 without sacrificing long-term growth. Nonetheless, it is still an open question whether countries thathave adoptedinflation-targeting regimes havelower inflationandbettereconomicperformance than countries that follow other monetary frameworks, see for example the research on macroeconomicperformanceinBall(2011), BallandSheridan(2005), Gon¸calves andSalles(2002), andBrito and Bystedt (2010). Others have taken a different approach by looking for evidence on the extent to which inflation expectations are well anchored using survey and financial market data. Because of data limitations, however, most of thelatter work has focused on the experience of industrialized countries. In this study, we overcome some of these data problems for developing countries and explore whether, and to what degree, long-term inflation expectations are well anchored in three emerging market economies: Brazil, Chile, and Mexico. The behavior of long-term inflation expectations provides insight into the success of inflation targeting as a monetary policy strategy. Emerging market economies (EMEs) tend to besubject to particularly large and frequent disturbances to the economy (Fraga, Goldfajn, and Minella, 2004), and these disturbances at times can drive inflation away from the target. Furthermore, monetary policy influences inflation with a considerable lag and there is uncertainty about the transmission processitself. Thesecircumstanceswillinfluenceinflationexpectationsovertheshort-andmediumterm. But if the central bank is viewed as being credibly committed to bringing inflation back to the inflation goal, shocks that affect inflation should be viewed as transitory and should therefore not influence long-term inflation expectations. Although most studies compare inflation-targeting countries with non-inflation-targeting countries, inflation-targeting countries often practice very different policies. Hence, we believe it is informative to consider within-group differences by comparing the experiences of Brazil, Chile, and Mexico. These three Latin American countries adopted inflation-targeting frameworks over a decade ago and are similar in at least two other respects: They are at comparable stages of development and have a historical record of monetary and fiscal mismanagement and high inflation. However, there are also differences among the three with respect to institutional settings and in how their central banks explain to the public how they will strive to achieve the inflation goal. Chile, for example, had already achieved considerable success in macroeconomic stabilization in 1According to Hammond (2012), 27 countries are considered to have inflation-targeting frameworks: Armenia, Australia, Brazil, Canada, Chile, Colombia, the Czech Republic, Ghana, Guatemala, Hungary, Iceland, Indonesia, Israel,Korea,Mexico,NewZealand,Norway,Peru,thePhilippines,Poland,Romania,Serbia,SouthAfrica,Sweden, Thailand, Turkey,and the UnitedKingdom. Many observers would also add theeuro area tothis list. 1
the 1980s. The Central Bank of Brazil (CBB) is not legally independent, which has at times raised questions about its ability to fulfill its inflation-targeting mandate without political interference. Several years after the Bank of Mexico (BOM) adopted its inflation-targeting framework, it had continued to formally target a money aggregate and, unlike most other inflation-targeting central 2 banks, did not publish its inflation forecasts, see Batini and Laxton (2006). Our approach is a blend of a formal and informal analysis. In our formal analysis, we follow theapproach that was firstused by Gu¨rkaynak, Levin, Marder, and Swanson (2007a) by examining evidence from financial-market-derived measures of long-term inflation expectations. Long-horizon financial-market-based expectations of future inflation with a sufficiently long history have been unavailable to date for Brazil and Mexico (and somewhat less so for Chile) as aresult of insufficient historical data on local-currency-denominated sovereign bondprices. Therefore, we firstcollected a comprehensivesetofhistoricalpricesonnominalandinflation-linkedsovereign bondsforBraziland Mexico—the Chilean data were provided to usby RiskAmerica—and usedthese prices to construct daily far-forward inflation compensation estimates for each country, as we detail below. We exploit the fact here that over the past decade, bond markets in Brazil and Mexico have made remarkable strides in terms of depth and liquidity, which allows us to construct these types of high-frequency market-based measures. Inflation compensation provides a reading on investors’ expectations for inflation plus the pre- 3 mium that investors demand for the risk that inflation may exceed its expected level. Far-forward inflation compensation covers a period that is several years in the future, beyond the period over which transitory shocks typically influence macroeconomic activity. In our informal analysis, we compare far-forward inflation compensation with long-term inflation expectations derived from Consensus Economics’ survey data. We can compare the two measures to assess whether they convey differences in the degree to which countries’ inflation-targeting frameworks are successful in shaping agents’ expectations about future inflation. SimilartoGu¨rkaynaketal.(2007a)andGu¨rkaynak,Levin,andSwanson(2010a), amongothers, we then assess whether our market-based measures of far-forward inflation compensation respond significantly to domestic news surprises in monetary policy decisions, consumer prices, and real activity data releases. We also consider whether inflation compensation in these countries is sensitive to newsfrom theUnited States andChina. We consider Chinabecauseof its increasing importance over the past decade as an export destination for Brazil and Chile. 2Between thelate 1990s and 2008, theBOMformally followed an operating procedurethat isknown as’el corto’ and which is similar to targeting non-borrowed reserves, see below, as well as Ramos-Francia and Torres-Garc´ıa (2005). 3H¨ordahl(2009)notesbesidesreflectingthesetwofactors,inflationcompensationalsoreflectsliquiditypremiaand “technical”marketfactors. Whilewedonotexplicitlytaketheseitemsintoaccountinourbaselineregressionanalysis in Section 4.1, we do consider controlling for them in a sensitivity analysis to our baseline results, see AppendixA. 2
Gu¨rkaynak et al. (2010a) found that long-term inflation expectations were better anchored in Sweden, an inflation-targeting country, than in the United States, which at the time did not have an explicit inflation target in place. Far-forward inflation compensation for Sweden did not react significantly to news suprises during a period from 1996 to 2005, while U.S. forward inflation compensation did react significantly to surprises during a very similar period (1998 to 2005). These authors also found that long-term inflation expectations in the United Kingdom became well anchored after the Bank of England gained legal independence in the late 1990s. Gu¨rkaynak et al. (2007a) compare the experience of the United States with those of Canada and Chile, using data for somewhat different periods for each country. Long-term inflation expectations were found to be well anchored in Canada and Chile, although the evidence for Chile is based on a short sample period (2002 to 2005). Details on this empirical approach are in Section 4. Galati, Poelhekke, and Zhou (2011) explored whether the global financial crisis unhinged long-term inflation expectations. Although the evidence is inconclusive, long-term inflation expectations in the United Kingdom drifted up. These studies have nearly all focused on the experience of industrialized economies, as marketbased measures of long-term inflation expectations have been unavailable to date for many emerging market economies. That long-term bond markets in Brazil, Chile, and Mexico have developed rapidlyoverthepastdecadenowallowsustoconstructourfinancial-market-basedinflationcompensation measures. Although market liquidity problems for some long-term bonds in these countries will still certainly pose an issue, we believe it is well worth taking a closer look at what the results from the event-study analysis imply. Overall, we find that inflation expectations have become much better anchored over the past decade in all three countries, which is a major achievement, considering these countries’ highinflation past. That said, survey-based and financial-market-based readings on the long-term inflation outlook have been consistently above the target in Brazil and Mexico, but more so in Brazil. Moreover, although we do not find evidence that market participants systematically revise their views about long-term inflation in response to domestic macroeconomic and monetary policy news, one-year inflation compensation in the far future displays some sensitivity to at least one macroeconomic data release in each country. New information appears to prompt market participants to revise either their expectations on inflation directly or their assessment of risks to the inflation outlook more generally. Revisions are relatively small, however. Far-forward inflation compensation for Mexico is sensitive to U.S. nonfarm payrolls data, likely reflecting both the tight linkages between the two economies and the fact that important Mexican macroeconomic data are released with a considerable delay. Far-forward inflation compensation in Brazil, but not in Chile, exhibits some sensitivity to data releases from China. Finally, evidence from both financial markets and survey datasuggest that long-runinflation expectations have beenless well anchored in Brazil than 3
in Chile and Mexico. As in all empirical studies that look at the response of financial market variables to economic news, the explanatory power of our regressions is quite low. Although in our case this result is consistent with the null hypothesis that inflation expectations have become better anchored, the volatility insomeofourinflation compensation measuresindicates thatitmay simplybethatother types of news that we are not able to capture in our regressions have been important drivers of long-term inflation expectations and inflation risk premia for these countries. 2 Inflation Targeting in Brazil, Chile, and Mexico 2.1 Inflation Targeting in Brazil, Chile, and Mexico Brazil, Chile, and Mexico adopted inflation-targeting frameworks after having previously experimented with alternative monetary policy strategies. Brazil adopted an inflation-targeting framework in 1999 after abandoning a fixed exchange rate policy in the midst of a currency crisis. In Chile, the Central Bank of Chile (CBC) had begun to set annual inflation targets in the early 1990s. However, a “full-fledged” inflation-targeting framework was put into place in 1999, when, uponfloating the Chilean peso in September of that year, the CBC announced that it would implement an inflation-targeting framework and that the inflation target range would be 2 to 4 percent beginning in 2001, see Vald´es (2007). In 2007, the inflation target was set at 3 percent within a 2 to 4 percent tolerance range. In Mexico, after abandoning its fixed exchange rate policy in December 1994, the BOM, in search of a new nominal anchor, adopted a money target. However, the BOM found that money demand was too unstable for money targets to be an effective means of controlling inflation. By 1998, the BOM’s monetary policy announcements could be seen as signaling the direction in which the central bank wanted interest rates to move (Ramos-Francia and Torres-Garc´ıa, 2005). In 1999, BOMofficials wrotethatMexico’smonetarypolicyframeworkwas”inatransitionperiodtowardsa clear-cut inflation targeting scheme.” (Carstens and Werner, 1999; cited in Mishkin and Savastano, 2001). The BOM formally adopted its inflation-targeting framework in 2001 and announced that the inflation target would be 3 percent beginning in 2003. Reflecting a growing consensus that central banks need to be free from political pressures to pursue short-term objectives, the central banks of Chile and Mexico had been granted legal autonomy with price stability as their primary mandate, Chile in 1990 and Mexico in 1994. In Brazil, in the absence of formal legal independence for the CBB, the law that laid out the basic features of the inflation-targeting framework delegated the central bank with the responsibility of pursuing the target, which in effect meant that the CBB had sole control over targeting the Selic rate as its key monetary policy instrument. Steps were also taken in all three countries to 4
strengthen public finances. Authorities enacted reforms in the financial sector and other areas to reduce vulnerabilities to financial turmoil. Nonetheless, inBrazil, theearlyyearsofinflationtargetingweremarkedbysharpdisagreements over the macroeconomic policy framework between the party then in power—that of Henrique Cardoso of the Brazilian Social Democratic Party (the PSDB)—and the main opposition party— the left-leaning Worker’s Party (the PT). By mid-2002, Brazil was in the throes of a financial crisis which was fueled by investor worries that the leading presidential candidate, Luiz Incio da Silva (widely known as Lula) of the PT, would abandon the macroeconomic policies of his predecessor. The Lula government, which took office in January 2003, addressed these concerns by taking steps todemonstrateitscommitmenttofiscalandmonetaryconservatism,includingappointingHenrique Meirelles, a prominent banker, as central bank president. Whether Brazil’s inflation target represents policy makers’ views on the appropriate level of inflation that is independent of macroeconomic conditions appears to be an open question. The 1 inflation target for 2003 was gradually reduced to a low of 3 percent. (Since 2000, the inflation 2 targets have been set each year a year and a half in advance.) Former CBB President Arminio Fraga, who had presided over the introduction of the inflation-targeting framework, relates that ”... [d]uring the initial phase, a gradual and declining path for inflation was defined with the aim of bringing inflation to the desired level. At that moment, we imagined that such level would be, in a first step, something close to 3 to 4 percent (inspired by the Chilean experience) and that, with time, we would go to a rate close to the world average” (Fraga, 2009, the translation is ours). 1 After the Lula government took office, the inflation target was set at 4 percent in mid-2003 2 and the target has remained at that level since then. However, in 2004, CBB President Meirelles stated that he envisioned inflation falling to a long-term inflation target of 4 percent (Gomes, 2004). In mid-2007, in announcing the target for 2009, Finance Minister Guido Mantega stated that ”the inflation targets for 2008 and 2009 should be seen as a transition in the direction of a long-term inflation target that I judge appropriate to be in the neighborhood of 4 percent, given the characteristics of the Brazilian economy” (Goldfajn, 2007, the translation is ours). DilmaRousseff,Lula’sprotegeandsuccessor,tookofficeinJanuary2011,andappointedAlexandre Tombini as the new central bank president. In October 2012, Tombini stated that ”[w]e have to have the ambition of having inflation converge to [inflation] of our trading partners, as this, in the medium and long-term, would make a difference. Nonetheless, at the moment, we have to con- 1 solidate this level [referring to the 4 percent inflation target].” (Grinbaum,2012, the translation is 2 ours.). As we detail below, there is some evidence that uncertainty about the longer-term inflation goal has been feeding into survey and financial market-based readings on the longer-term inflation outlook for Brazil. The top panels of Figures 1 through 3 show 12-month headline inflation in Brazil, Chile, and 5
Mexico (the thick black lines), as well as the inflation target and the tolerance range for each 4 country’s inflation target from January 2001 to April 2013. The thin lines, which depict measures 5 of core inflation, illustrate the heavy influence of food and energy prices on the headline CPIs. Consideringtheir inflation records, inflation has been remarkably low in each country, remaining in single-digit rangesincetheearly 2000s in Brazil andMexico andonly brieflygoinginto double-digit range in Chile. 3 Survey and Market-Based Measures of Inflation Expectations 3.1 Survey-Based Inflation Expectations The middle panels of Figures 1 through 3 compare each country’s inflation target between January 2001 and April 2013 to long-term expected inflation from the semi-annual Consensus Forecasts survey,usingtheaverageforecastacrossrespondents. Thissurvey,whichisconductedbyConsensus EconomicsinAprilandOctoberofeachyear,pollsanalysts’expectationsofaverageannualinflation six to ten years in the future. Using Consensus Forecasts data, Levin, Natalucci, and Piger (2004) document that long-term inflation expectations had already been declining in the years preceding 6 the adoption of inflation targets in inflation-targeting EMEs for which survey data was available. Average expected inflation for Chile, shown in Panel B of Figure 2, has been very close to 3 percent. A drawback of the long-term Consensus forecasts for these countries is the low number of survey participants. Only 8 to 12 panelists have been providing long-term forecasts, about half of the number of participants in Consensus Forecasts’ monthly survey of short- and medium-term 7 forecasts. Alternatively, the three central banks also conduct their own surveys of expectations on the macroeconomy with a larger number of participants. Plotted in Panel B is the median expectation for 12-month inflation ending 23 months in the future from the CBC’s monthly survey 8 of forecasters. The median expectation strayed from the target during the run-up in inflation in 2008, but otherwise has been close to the 3 percent target. Long-term inflation expectations for 4PanelAofFigure1showsonlytheinitialtargetforBrazil,thatis,thetargetthatisannouncedayearandahalf in advance. Between 2002 and 2005, the targets were adjusted upwards to accommodate for unforseen and adverse supply-sideshocks. 5For Brazil, the core inflation measure shown excludes food and fuel for vehicles and home use. Together, these items have about a 16 percent weight in the headline index. For Chile, core inflation is the CPIX, which excludes fuels, fresh fruits, and vegetables. These items havea weight of about 9 percent in theheadline CPI. Core inflation forMexicoexcludesfruitsandvegetables, meatandeggs, andenergyandothergovernment-regulatedprices. These items havea 25 percent weight in theheadline CPI. 6Levinet al.(2004) donotreport resultsforChilebecauselong-term inflation expectationswerefirst surveyedin themid-1990sandbecausetheydateChile’sadoptionofaninflationtargetto1991. Long-terminflationexpectations for Chile also declined overthe1990s. 7Private communication with Steven Hubbard,Manager, Consensus Economics, September25, 2013. 8This is the longest forecast horizon that the CBC polls forecasters on because the CBC aims to bring inflation to the3 percent target within two years. 6
1 Mexico have been at or very near three and a half percent since 2005, percentage point above 2 the target, in the Consensus Forecasts survey as well as in the BOM’s monthly survey of analysts’ expectations, which began in 2008 (the solid blue line in Panel B of Figure 3). The BOM surveys about 30 private-sector analysts about their views on average inflation five to eight years in the future and reports the average expectation from this survey. ForBrazil,long-terminflationexpectationshavebeenmorevariablebutfarlesssothanheadline inflation. Note that the scales across Figures 1 - 3 differ: the range for Brazil is twice that for Chile and Mexico. The average long-term inflation expectation for Brazil rose during the 2002-03 crisis, 1 fell below the 4 percent target in the years following the crisis, and in 2007 began to drift up. 2 This pattern can be see more clearly in Panels A and B of Figure 4, which plot the average and medianexpectationsofmedium-tolong-terminflationfromtheCBB’sweeklysurveyofprofessional forecasters. The chart plots the forecast that is furthest in the future at the time of the survey, which is the one that is four calendar years ahead. By the end of our sample period (April 2013), long-term inflation expectations had surpassed 5 percent. Panel C plots the standard deviation of respondents’ inflation forecasts and is constructed as in Panels A and B. The degree of dispersion 9 in long-term inflation expectations has edged up but remained been well below its peak in 2003. 3.2 Financial Market-Based Inflation Expectations One shortcoming of using survey-based measures of long-term inflation expectations is that these measures are usually available only at relatively low frequencies; monthly, quarterly, or even semiannually. It is therefore difficult to truly gauge whether a central bank’s inflation targeting framework is successful in shaping agents’ expectations about future inflation. Luckily, we can now derive much higher-frequency gauges of inflation expectations for Brazil, Chile, andMexico fromfinancialmarket data. Note thatas recently as onedecadeago thiswas still virtually impossible because bond markets were not yet well-developed in these countries. Since then, however, each country has made important strides forward, and depth and liquidity in these markets has risen substantially. As a result, we can now construct high-frequency measures of (farforward) inflation compensation using data on nominal and real bond prices, all typically available at a daily frequency. Market participants and policy makers alike heavily track these financial market-based measures for major industrialized countries to gauge the effect of macroeconomic news announcements and monetary policy decisions on market participants’ perception of future inflation, for example using the event study analysis of the studies referenced in the introduction. 9Dispersion measures reflect the degree of disagreement among forecasters and are considered to be a reasonable proxy for inflation uncertainty. Beechey, Johanssen, and Levin (2011) compare the dispersion of survey-based measures of long-term inflation expectations in the euro area with that for the U.S. and find that the dispersion was higherintheU.S.Capistr´an andRamos-Francia(2010) findthatthedispersion inshort- andmedium-terminflation expectations is lower in countries with inflation targeting than in countries without. 7
Here we apply this same type of analysis specifically to our three EME countries. One important caveat to using these measures, however, is that they do not necessarily offer a fully clean read on inflation expectations. As pointed out by H¨ordahl (2009), besides reflecting the level of expected inflation, inflation compensation also embeds inflation risk premia, liquidity premia, and technical factors. It is difficult, if not impossible, to distinguish these different factors without having to resort to strong identifying assumptions. Inthissection, wefirstconstructinflationcompensationmeasuresforBrazil, Chile, andMexico. In particular, we use term structure estimation techniques to construct full term structures of inflation compensation at various horizons. To the best of our knowledge, we are the first to construct these measures in detail for Brazil and Mexico (and in a certain sense for Chile as well, although most of the work for Chile was done for us by RiskAmerica). We construct sufficientlylong historical time-series of market-based inflation compensation and then use these in our event study analysis in Section 4. 3.2.1 Estimating Inflation Compensation Measures We estimate our financial-market-based inflation compensation measures as the spread between yields on nominal and inflation-indexed (real) sovereign bonds. The latter bonds have a principal value that is linked to inflation and therefore protect investors from inflation risk. While Brazil, Chile and Mexico all have had a reasonable number of inflation-linked bonds outstanding since at least the early 2000s, it is their nominal bond markets that have seen the most growth over the 10 past decade. The fact that these countries have been able to issue long-term nominal debt is a sign of improved investor confidence in the central banks’ ability to keep inflation low. Thenow-outstanding spectrum of bothnominal and real sovereign bondsallows us to construct nominal and real zero-coupon curves from these bonds, respectively. The zero curve estimation method we apply is that of Nelson and Siegel (1987) which has increasingly become the workhorse 11 method for estimating zero curves from bond prices. A zero-coupon yield curve consists of the collection of interest rates earned on non-couponpayingbondswithincreasingmaturities. Becausezero-couponyieldsarenotdirectlyobservablebut areinsteadembeddedincoupon-bearingbonds,wemustresorttocurveestimationtechniques. Here we use the Nelson and Siegel (1987) model. This model postulates that the curve of continuouslycompounded zero-coupon yields at any given time t can be well described by a smooth parametric 10Incontrast,somedevelopedeconomies, forexampleGermanyandJapan,whilehavingextremelyliquidnominal bond markets, still have much less developed inflation-linked bond markets, with only a small number of bonds outstanding at any given time. 11Forexample,theBankof InternationalSettlements,(BIS,2005), reportsthatnineoutofthethirteen(predominantly European) central banks that report their zero-coupon curve estimates to the BIS use either the Nelson and Siegel (1987) model or an extension of it, theSvensson (1994) model, to construct zero-coupon yield curves. 8
function which is determined by just four parameters; 1−exp − τ 1−exp − τ y t (τ) = β1,t +β2,t τ(cid:16) λt (cid:17) +β3,t τ(cid:16) λt (cid:17) −exp − λ τ t (1) λt λt (cid:18) (cid:19) (cid:16) (cid:17) (cid:16) (cid:17) where y t (τ) is the model-implied τ-period zero-coupon yield and {β1,t ,β2,t β3,t ,λ t } is the parameter vector. These parameters can be interpreted as the level parameter, β1,t ; the slope parameter, β2,t ; and the curvature parameter, β3,t , judging from the effect that a change in each of these respective parameters has on the shape of the curve, see for example Diebold and Li (2006). The fourth parameter, λ , is a shape parameter that influences the factor loadings associated with the t slope and curvature parameters. We follow the approach of Gu¨rkaynak, Sack, and Wright (2007b, 2010b) to estimate nominal and real zero-coupon curves from observed bond prices. In particular, we estimate the Nelson-Siegel parameters by minimizing the sum of squared approximate yield errors; bond price fitting errors weighted by the inverse of modified duration (MDur): 2 Nt P (τ)−P (τ) i,t i,t min (2) {β1,t,β2,tβ3,t,λt} i=1" MDur i,t # X d where P (τ) are the prices for the N observable bonds on day t, either nominal or real bonds, and i,t t P (τ) are the bond price estimates implied by the Nelson-Siegel model. i,t When implementing the Nelson-Siegel model we must ensure that the optimization procedure d converges to sensible and reliable zero curves. To accomplish this we impose several restrictions on the model parameters: (i) the level parameter β1,t is restricted to be positive and in the range [0,25], (ii) the slope and curvature parameters—β2,t and β3,t respectively—are restricted to be in the range [−100,100],(iii) the shape parameter, λ , is restricted to be contained in the range t [0.5,5]. We only include bonds in the optimization that have a remaining maturity between three months and 15 years. An immediate problem arising from this particular maturity window is that our estimated yield curves could show odd behavior for maturities between zero and three months. Specifically, because by construction there are no data points on short-term rates, the short end of the curve could in theory go to either plus of minus infinity. To prevent this from happening, we impose that the Nelson-Siegel-implied instantaneous short rate, the sum of β1,t and β ,2t , has to be equal to the overnight rate, or, if the overnight rate shows erratic behaviour, the central banks’ 12 official target rate. Once we have estimates of the nominal and real zero-coupon curves for each day in the sample for our three countries, we take the difference between the two curves to construct an estimate of the inflation compensation curve. Furthermore, with the estimated Nelson-Siegel parameters, we 12Thisrestrictiononthemodel-impliedinstantaneousshortrateturnsouttoworkwellaswewereabletoeliminate theoccasional odd yield curvethat resulted when not imposing the short rate restriction. 9
can construct zero yields for any desired maturity. We can also easily compute nominal and real forward rates, and therefore forward inflation compensation estimates. We thus compute 1-year forward rates ending in 1, 2,..., 7 years in the future for Brazil and Mexico and 1-year forward rates ending in 1, 2,..., 10 years for Chile. In this paper we only use the 1-year forward rate ending in 7 13 years for Brazil and Mexico and the 1-year forward rate ending in 10 years for Chile. 3.2.2 Bond Data Brazil and Mexico We collected historical prices on nominal and inflation-linked bonds for Brazil and Mexico from several sources. Since our goal is to construct long-enough time series of far-forward inflation compensation, we combined data from different sources. For Brazil we obtained daily prices for all currently and previously outstanding bonds from Bloomberg and MorganMarkets. For Mexico we 14 combined data from Bloomberg and Proveedor Integral de Precios (PiP). As is standard practice, we apply the usual filters to the available bond data; we do not include any bonds that have option-like features or floating coupon payments, and we do not include any bills out of concern that the behavior of bills can be quite different from that of bonds. From the remaining bonds, on any given day we only include those bonds that have a remaining maturity 15 between 3 months and 15 years. The top two panels of Figure 5 show the number of bonds 16 over time that were included in the estimations. For both Brazil and Mexico, the number of outstandingbondshasincreased throughoutthesample, inparticular fornominalbonds. Thetotal number of bonds continues to remain relatively small, however, likely introducing some degree of noise in our curve estimates. To shed some light on this issue, Figure 6 shows the average absolute bond price fitting errors for bonds with maturities between two and ten years. This metric is used in for example Gu¨rkaynak, Sack, and Wright (2010b) to assess the fit of zero-coupon curve models. On average, we fit bond prices with an error of about 25 basis points. This is higher than the yield fitting errors that Gu¨rkaynak, Sack, and Wright (2010b) reportfor likely more-liquid U.S. Treasury 17 Inflation Protected Securities, but is certainly reasonable. Note that the fitting errors for both 13We leave analyzing the effects of macroeconomic news surprises on the full term structure of forward inflation compensation, such as is donein Beechey et al. (2011), for future research. 14For Morgan Markets, see https://mm.jpmorgan.com/. For PiP, see https://www.precios.com.mx/. 15Gu¨rkaynak, Sack, and Wright (2007b) show that for estimating zero-coupon curves from U.S. Treasury bonds, oneneedstheSvensson(1994) modeltoaccuratelyfitbondpricesintheverylongest endofthecurve. However,the Svensson model requires estimating additional parameters compared with the Nelson and Siegel model. Therefore, due to the relatively small number of bond prices that we have available for any given day in our sample, we only considermaturitiesofuptofifteenyears. Inpractice,onlyafewverylong-maturitybondshavebeenissuedinBrazil, Chile, and Mexico and imposing thisrestriction neverremoves more than one or two bonds. 16Because the Nelson-Siegel model is a four-parameter model, we can only construct zero-coupon curves on days where at least four bond prices are available. 17J.P. Morgan reports that liquidity in Mexican bond markets has improved over time, stating that the liquidity in 10-year Mexican bonds has ”increased markedly”, with bid-ask spreads having fallen and foreign holdings having risen from 18 percent in early 2006 to about 60 percent in August 2012, see J.P. Morgan (2006, 2012). 10
Brazil and Mexico, in particular for inflation-index bonds in Mexico, spiked up at the height of the global financial crisis in late 2008, amidst large capital outflows from Latin American countries. The bottom panels of Figure 5 show the longest-maturity bondused in the estimation. Panel C shows that Brazil did not issue its first long-maturity nominal bond until July 2006. We therefore start our data sample for Brazil in July 2006. Furthermore, even though Brazil has issued 10-year bondsat several times throughoutour sample and has even issued a 15-year inflation-indexed bond in 2009, the longest maturity that is consistently outstanding throughoutthesample is seven years. In order to prevent having to extrapolate our zero-coupon curves for longer maturities, we therefore use our curves only up to maturities of seven years. We do the same for Mexico. While the longest maturity that is consistently available for Mexico is eight years, we chose the same 7-year maximum maturity out of convenience. While studies that have examined far-forward inflation compensation for developed economies typically look at 1-year forward rates ending in 10 years, our 1-year forward rates ending in 7 years are still far enough in the future such that unforeseen shocks to prices and the real economy should not drive inflation away from the target if inflation expectations are well anchored. Chile For Chile we use nominal and real zero-coupon curves that were graciously supplied to us by 18 RiskAmerica. RiskAmerica estimates zero-coupon curves from prices on Chilean nominal and inflation-linked sovereign bonds, in a comparable fashion as we do here for Brazil and Mexico. RiskAmerica’s zero-coupon estimates were similarly used by Gu¨rkaynak et al. (2007a) to construct 1-year forward inflation compensation rates ending in 10 years when they examined whether inflation expectations were well-anchored in Chile between August 2002 and October 2005 (see the discussion in Section 4). Compared to Gu¨rkaynak et al. (2007a), our sample for Chile is much longer; October 2, 2002 to April 30, 2012. As noted by Gu¨rkaynak et al. (2007a), although Chile had already been issuing inflation-linked bonds for several decades, it was not until 2002 that Chile began issuing long-term nominal bonds. However, sincethattime, thematurity of thelongest-outstanding bondhasconsistently beenabove ten years. We therefore use 1-year forward inflation compensation rates ending in 10 years, similar to Gu¨rkaynak et al. (2007a), as opposed to our forward inflation compensation measures for Brazil and Mexico, which end in seven years. Since Chilean forward rates are also based on fewer bonds 19 than U.S. and U.K. forward rates, for example, they will tend to be more noisy. 18See www.riskamerica.com. 19Gu¨rkaynak et al. (2007a) show this point in theirFigure 5B. 11
3.2.3 Far-Forward Inflation Compensation Estimates Figure 7 shows our market-based time-series estimates of far-forward nominal yields in Panel A, far-forward real yields in Panel B, and far-forward inflation compensation in Panel C. The farforward inflation compensation measures plotted in Panel C are the spread between the forward rates in the top two panels, and are the same as those shown in the bottom panels of Figures 1 - 3. We can make a number of general observations here, which are similar to those made by Gu¨rkaynak et al. (2007a) in their analysis of Chilean inflation compensation. First, the fact that all three governments were able to issue long-term nominal debt by the mid-2000s is a sign that inflation expectations have become better anchored. Previously, investors had demanded higher yields for long-term debt than what governments were willing to pay. Second, far-forward inflation compensation varies considerably, particularly for Brazil, where it spikes in late 2008. Third, farforward inflation compensation for Brazil and Mexico have nearly always been above the inflation 1 targets of 4 and 3 percent, but for Chile has been both below and above the 3 percent target. 2 Comparing Figure 1 and Figure 7 shows that for Brazil far-forward inflation compensation rises after 2007, as does actual inflation and the Consensus survey-based measure of long-term inflation expectations. Far-forward inflation compensation goes wellabove thesurveymeasurein 2008, most likely reflectingmarketdisfunction. Buteven over thelasttwo years ofoursample, itisoften about 1 1 to 1 percentage points above the average from Consensus’ survey, although by the end of the 2 sample period in April 2013, it is not much higher than the average and median expectations from the CBB’s weekly survey (Figure 4). For Mexico, far-forward inflation compensation declines considerably between 2003 and 2005, 1 and is very close to 3 percent for a period in 2007 and 2008. Inflation compensation then moves 2 up in 2009 and has exceeded the survey-based measures of inflation expectations since, but by a lesser degree than in Brazil. One interpretation of the spread between inflation compensation and the survey-based inflation expectations is that investors have not been confident that either the CBB or BOM will be able to achieve its inflation goal and have demanded extra compensation for the risk of higher inflation, and more so in Brazil than in Mexico. By taking the difference between our far-forward inflation compensation measures in Figure 7 and the long-term survey forecasts in the middle panels of Figure 1 - 3 we can calculate a rough estimate of the inflation risk premium for each country. 1 1 Doing so implies an inflation risk premium of about 1 percent for Brazil, percent for Mexico 2 2 and 0 percent for Chile (compared with an estimate of about 0 percent for the United States for example). Although above zero, these figures are remarkably low given each country’s historical inflation record and indicate the progress that the CBB and BOM have made towards convincing investors of their ability to contain inflation. 12
4 Sensitivity of Yields and Inflation Compensation to News Previous studies that use financial-market-based estimates of far-forward inflation compensation to examine whether inflation expectations are well anchored, have almost exclusively focused on developed economies. For example, Gu¨rkaynak et al. (2005), Gu¨rkaynak et al. (2007a), Gu¨rkaynak et al. (2010a), and Beechey et al. (2011) examined the U.S., U.K., Canada, and Sweden. We fill in this gap in the literature for Brazil, Chile and Mexico using the inflation compensation measures 20 that we constructed in Section 3.2. We build upon the regression analyses used in the studies referenced above by regressing daily changes in forward nominal and real yields and, in particular, far-forward inflation compensation on the surprise component of news announcements on monetary policy, consumer prices, and the real economy. The premise here is that if inflation expectations are well anchored over the long term, far-forward inflation compensation should not react significantly to news surprises. If they do react significantly, then this is a indication that inflation expectations remain unanchored. 4.1 Regression Approach We estimate the parameters of the following linear regression specification: 2 ∆y = α +β X +γ Z +ǫ ǫ ∼ IID(0,σ ) (3) t,n n n t n t t,n t,n n where ∆y is the daily change in either (forward) nominal or real rates, or far-forward inflation t,n 21 compensationendinginnyears andX isthevector ofnewssurprises. Inourbaselineregressions, t Z includes a dummy that equals one on the first business day of each calendar year, and zero t elsewhere. We are interested in which, if any, of the surprises included in the regression have a significant impact on inflation compensation, in which direction surprises move inflation compensation, and the size of these moves overall. Furthermore, to assess whether inflation expectations are overall well anchored or not, we perform a standard Wald test, testing the joint null hypothesis that all news surprise coefficients in the regression are equal to zero (i.e. we test the hypothesis that β1 = β2 = ... = β K = 0 with K the number of news surprises.). We not only examine whether domestic news surprises move inflation compensation for Brazil, Chile, and Mexico, but also whether news surprises from abroad have a significant impact, specifically news surprises from the U.S. and China. We do so by rerunning the regressions in (3), but 20Gu¨rkaynak et al. (2007a) also study inflation compensation in Chile and findthat it does not react significantly toChilean andU.S.newssurprises. However, duetodatalimitations theyonly analyzed therelatively short sample from August 2002 to October 2005. Furthermore, their set of news surprises was small and, as the authors note, the survey measures used were likely to be somewhat stale. Here we use a much longer time series of inflation compensation, as well as a larger set of economic news surprises, as discussed in Section 4.2. 21Recall that we use n=7 for Brazil and Mexico, while we use n=10 for Chile. 13
now with an extended X that includes either U.S. or Chinese news surprises (we examine these t in separate regressions). All three countries that we analyze are open economies, with the U.S. and China being major trading partners. News surprises from the U.S and China could therefore influence interest rates in Brazil, Chile, and Mexico, but should not influence investors’ views on long-term inflation expectations in these countries if inflation expectations are well anchored. In a sensitivity analysis to our baseline results in Appendix A, we follow Galati et al. (2011) by including a vector of control variables in Z to account for the fact that inflation compensation not t only reflects inflation expectations, but also inflation risk premia, liquidity, and technical factors. By including variables that are aimed at controlling for the latter two factors, we attempt to restrain the influenceof variation in liquidity and other technical factors that is not directly related 22 to inflation expectations. Galati et al. (2011) also examined the effect that the financial crisis has had on the anchoring properties of inflation expectations in the U.S., U.K., and the euro area. They found that inflation expectations may have become less well anchored as a result of the crisis, which erupted in mid-2007. Given their results, we therefore also examine subsamples from before and after mid-2007 to assess the stability of our full-sample results. Finally, in Appendix B we present some regression results using 5-year rolling windows. 4.2 News Surprise Data and Controls Similar to the previous literature, we include surprises on a range of real economy, price and monetary policy-related announcements; (1) the central bank policy rate, (2) headline consumer prices (CPI), (3) industrial production (IP), (4) purchasing managers index (PMI), (5) retail sales, (6) trade balance (defined as exports minus imports), (7) real GDP, and (8) the unemployment 23 rate. We obtained all data releases and survey expectations from Bloomberg and these eight 24 announcements are the ones for which we have data available with a sufficiently long history. For U.S. surprises, we follow others, in particular Gu¨rkaynak et al. (2007a), by also including: (9) 22AsnotedbyGalatietal.(2011),becauseinflationcompensationisdefinedasthedifferencebetweennominaland real (forward) rates, we already filter out most of the impact of liquidity and technical factors, provided that these affect nominal and real bond prices in a similar way. 23Toconstructsurveyexpectationsforeconomic datareleases, Bloomberg initially asksrespondentstoinputtheir forecaststwoweekspriortotheactualrelease. Respondentscanthensubmittheirforecastorchangetheirpreviously submitted forecast up untilroughly one hourbefore therelease time of theannouncement. 24The PMIs for Brazil and Chile are not available. Instead of Markit Group’s PMI for Mexico, we include the business climate index produced by the Mexican Institute of Finance Executives (IMEF). This series starts in mid- 2009. For Chile, we use total IP until the end of 2011 and manufacturing IP after that. We shifted forward by one businessdaytheCBB’smonetarypolicyratedecisionsasthesearereleasedafterthecloseofbusinessanddonotfully affect market interest rates until the following day. Finally, the BOM did not formally adopt a target for Mexico’s overnight bank funding rate (tasa de fondeo) until January 2008. However, the BOM is widely viewed as already having implicitly targeted the funding rate prior to 2008 as well, which is the reason pre-2008 survey values are available in Bloomberg. Between September2005 and December 2007, our monetary policy surprise is therefore the differencebetweenthetasadefondeoandtheBloombergsurveyforecastwhereasafterDecember2007,themonetary policy surprise is thedifference between BOMs target for thetasa defondeo and theBloomberg surveyforecast. 14
consumerconfidence, (10) initial jobless claims, (11) new homesales, (12) andthenonfarmpayrolls report. To measure the size of the surprise involving each data release, we compute the difference between the actual release and the median Bloomberg survey forecast. By including only the surprise component in the regressions, we take out the expected component of the information contained in any news release and which should have already been incorporated in bond yields. We normalize all surprises by their standard deviation, with the exception of policy rate surprises which are recorded in basis points. As control variables in our sensitivity analysis, we include daily changes in (1) the VIX, (2) the 12-monthWTIfuturescontract, and(3)the3-monthfoodfuturescontract, allofwhichweobtained from Bloomberg. The VIX serves as a control of overall market volatility, and can also be seen as a control for general investor risk appetite. We include oil and food futures contracts to control for the pass-through of commodity price developments to domestic prices. For example, pass-through fromglobalfoodshockstendstobehigherinemergingmarketscomparedwithdevelopedeconomies because food is typically a larger component of CPI in emerging markets. 4.3 Outlier Analysis Before we present our main empirical results, we first address the potential impact of outliers in our announcement data. We need to make sure that our results for overall and individualvariable (in)significance will not be driven by just a few influential observations. As the number of announcements per variable will be small given their monthly or even quarterly release calendar, and because only true surprises in the announcements yield non-zero observations, outliers could playasignificantrole. Therefore,inapreliminarystep,wefirstrunsimplelinearregressionsforeach country, regressing our left-hand variables in (3) on each individual surprise variable and examine whether any observations qualify as regression outliers. We evaluate individual (x,y) observation 25 pairsbasedontheir leverage throughtheir hat-values, studentized residuals, andCook’sdistance. We characterize an observation as an outlier if its Cook’s distance is greater than the cut-off rule- 4 of-thumb value (with N the number of observations in the regression), its hat value is larger N−2 4 than the average hat value of , and its studentized residual is outside its 95% confidence interval N of ±2. Wepresenttheresultsofouroutlier analysisgraphically inFigures 8-10. Intotal, weidentified four observations per country as outliers in the regressions for far-forward inflation compensation. ForBrazilwefoundoutliersinthepolicyrate(thereleaseofJuly24,2008),CPI(December7,2012), IP (March 6, 2009), and GDP (March 10, 2009). For Chile these were in the policy rate (December 11, 2003), CPI (January 6, 2009), trade balance (September 7, 2007), and the unemployment 25See Cook and Weisberg (1982) for details and a general discussion on outlier detection. 15
rate (November 27, 2003). Finally, for Mexico, these were in CPI (May 7, 2010), PMI (August 3, 2011), retail sales (May 26, 2003), and GDP (August 16, 2005). All these observations are labeled by their date in Figures 8 - 10 in the left-hand-side panels (which show hat-values on the horizontal axes, studentized residuals on the vertical axes, and relative Cook’s distances as the radiusof the circles) as well as in the right-hand-side panels (which show thesimple regression lines for far-forward inflation compensation with and without including the outliers in the regression, the solid black and dashed blue lines, respectively). Judging from the right panels, regression coefficients are generally little affected by outliers. However, there are some notable exceptions. In particular, removing Brazil’s IP outlier substantially increases its regression coefficient from 1.30 (insignificant) to 4.96 (significant at 5%), while removing the GDP outlier substantially reduces 26 its regression coefficient from 7.87 (significant at 10%) to 3.76 (insignificant). With the outliers for Brazil being an example of the extent to which influential observations could indeed affect our regressions results, we removed all outliers and only present outlier-corrected results in the remainder of this section. 4.4 Full-Sample Results 4.4.1 Baseline Regressions Tables 1 through 3 present the main empirical results of our analysis, showing results for the regressions in (3) using our full available history of inflation compensation and news surprises. We included only days that had at least one data announcement and we excluded the volatile fourth 27 quarterof2008 tonotcontaminate theregressionresultswithsuchavolatile period. Ourbaseline regressions include only domestic new surprises, plus a constant and the dummy that equals one only on the first business day of the year. The first two columns in each table show the number of included observations per individual variable and the standard deviation of each variable’s surprises. By combining standard deviations with regression coefficients we can assess the economic impact of surprises. The remaining columns show regression results using as dependent variables the 1-day changes in: the 1-year nominal rate (column 3), the 1-year forward nominal rate ending in 7 or 10 years depending on the country (column 4) and the breakdown of this into the 1-year forward real rate (column 5) and our main variable of interest, the 1-year far-forward inflation compensation rate (column 6). All reported coefficients should be interpreted as the response (in basis points) to a one-standard deviation 26In the case of the outlier in Brazil’s GDP, one could make a case for keeping it in the regression given that inflation compensation reacted as one would expect in response to the negative GDP surprise; by moving down. However,giventheoutsizedmoveininflationcompensation andtheinfluencethatthissingleobservation hasonthe slope of theregression line, removing this observation as an outlier seems reasonable. 27In our sensitivity analysis in Appendix A, among other alternative specifications, we also address the approach of including all days, which entails including a substantial number of days with zero values for surprises, as well as including thefourth quarterof 2008. 16
surprise in the data release of the corresponding macrovariable (with the exception of the policy rate coefficient which is the response in basis points to a one basis point rate surprise). We use regular OLS standard errors to assess the significance of individual surprise variables (using HAC-style standard errors resulted in very similar results). We highlight surprises that enter the regression significantly; with *** indicating significance at the 1% level, ** at the 5% level and * at the 10% level. Student t-statistics are reported in parentheses underneath each regression coefficient. The results for the joint significance test of news surprises are reported in the bottom two rows of each table. The first observation to make from Tables 1 through 3 is that short-term interest rates, as represented by the 1-year nominal rate in the third column, respond significantly to sometimes an array of different surprises, but in particular to surprises in the policy rate, consumer prices, industrialproductionandGDP growth. Thisis not surprising,given how strongly correlated shortterm interest rates are with the state of the economy. The signs and magnitudes of significant coefficients seem reasonable. For example, if the central bank unexpectedly raises its policy rate by 100 basis points, then short-term rates tend to increase by 31 basis points in Brazil, 10 basis points inChile,and60basispointsinMexico. ThereactionofBrazilianshortratestopolicyratessurprises is very close in magnitude to what Gu¨rkaynak et al. (2007a) found for the reaction of U.S. short rates to Federal Reserve policy rate surprises. Similarly, an unexpected 1 percentage point increase 1 in IP raises short-term rates by a little over 3 basis points in Brazil and around 1 basis point 2 in Chile and Mexico, while a 1 percent drop in the unemployment rate (a four-standard-deviation event) reduces short-term rates in Brazil by about 8 basis points. 2 The R s confirm that news surprises explain changes in 1-year rates quite well, which is corroborated by the results of the Wald-test, which for each country strongly rejects the null hypothesis that news surprises do not significantly affect short-term interest rates. 2 In contrast, the final column in each table shows that the R s in the regressions for far-forward inflation compensation are low. Furthermore, surprises do not significantly affect far-forward inflation compensation for Brazil and Mexico according to the joint Wald test, as its null hypothesis cannot be rejected at the standard 5% level. However, we find that inflation compensation does react significantly to some individual surprises, in particular to IP for Brazil (at the 5% level) and Mexico (at the10% level), withatwo standard-deviation surpriseraisinginflation compensation by about ten and three basis points in these countries. IP is the only variable (for Mexico also CPI) in the inflation-compensation regressions for Brazil and Mexico that comes in significant, indicating that long-term inflation compensation in these countries does not systematically react to macro news surprises and that inflation expectations therefore appear to be well anchored. For Chile on the other hand, we find that the null of the Wald test is rejected for the full data sample, which is driven by the strong significance of CPI surprises in the regression. However, the 17
2 R remains low and it takes a four standard-deviation, 1 percent, unexpected increase in Chilean inflation to increase inflation compensation by 16 basis points. Furthermore, the coefficients of all other surprises are either not significant, or weakly significant at best (GDP and trade). We checked the robustness of our baseline results by examining a serious of alternative specifications. The results of this sensitivity analysis are discussed in Appendix A and show that our results are indeed robust. 4.4.2 Including Foreign Surprises We now examine full-sample results when we also include in the baseline regressions U.S. news surprises, in Table 4, and Chinese news surprises, in Table 5. Here we only report results for the 1year nominal rate and 1-year far-forward inflation compensation. The top part of each table shows the coefficients on domestic surprises, while the bottom part shows the regression coefficients and their significance on U.S. and Chinese news surprises, respectively. In the regressions for the daily changes in 1-year nominal rates, domestic surprises that were significant before remain significant with the similar sign and magnitude of coefficients. The bottom half of the table shows that with the exception of U.S. trade for Chile, none of the U.S. surprises come in significantly. For Mexico, at least, this result seems surprising because important macroeconomic data, in particular IP and GDP, are released with a considerable delay. As shown in Table 6, several U.S. macro figures are released beforethefirstdomesticnewsreleaseinMexico (similarly forBrazil andChile). Therefore, becauseofthesubstantiallagwithwhichdomesticmacronewsisreleased,andbecauseofthestrong economic linkages between Mexico and the U.S., one would expect that at least some of the U.S. news surpriseswould have an impact on short-term rates. However, we donot findevidence of this. As judged by the third column in the table for each country, far-forward inflation compensation does appear to react significantly to a few U.S. news releases. On the one hand, this could indicate that even if the local central banks are able to make long-term inflation expectations resilient to domesticnewssurprises,theyhavetroubleovercomingtheeffectsofU.S.newssurprisesondomestic inflation expectations. On the other hand, however, some of these results could also just represent statistical noise. For example, the coefficient on U.S. CPI surprises is negative and significant in the regression for both Chile and Mexico, implying that positive inflation surprises in the U.S. would lower inflation compensation in these countries, which is not an obvious relationship. One result that does seem worth examining further is how stable over time the positive and significant coefficient of U.S. nonfarm payrolls is for Chile and Mexico (although not significant, its coefficient is also positive for Brazil). We do so in Appendix B using rolling regressions. TheresultsforChinesenewssurprisesinTable5showthatonlyBrazilianinflationcompensation is affected by some data releases in China. This seems in line with the fact that there is very little 18
28 trade between Mexico and China, while the trade share with China is more important for Brazil. Accordingtotheregression results, athree-standard deviation surpriseinChineseIP(equivalent to a surpriseincrease of four percentage points)leads to a 15 basis pointincrease in Brazilian inflation compensation, which does not seem unreasonable. On the other hand, however, the coefficient on Chinese GDP surprises in the regression for Brazil has the opposite sign, again alluding to statistical noise. For Chile, whose trade share with China is comparable, we do not find evidence of any impact of Chinese news surprises. 4.5 Subsample Results 4.5.1 (Pre-)Crisis Period To address the potentially destabilizing effects of the financial crisis, we re-estimate our baseline regressions by splitting up the sample in a pre-crisis sample (using data up until July 2007) and a crisis period (using data from July 2007 onwards). Results are shown in Tables 7 - 9 with pre-crisis results in the first three columns and results since July 2007 in the last three columns. The pre-crisis results for Brazil in Table 7 show that the joint test rejects, driven by (weakly) significant coefficients on the policy rate and the unemployment rate, suggesting that prior to the financial crisis, inflation expectations in Brazil were not well anchored. However, the pre-crisis sample for Brazil only consists of just one calendar year of data, with just over sixty observations on surprises overall, and even fewer per individual variable. For example, the significant, but unexpectedly positive, coefficient for policy rate surprises in the third column is due to a single negativesurprise(anunexpected25basispointcutinthebenchmarkSelicrateonAugust30, 2006) that lowered inflation compensation. Since the onset of the crisis, inflation expectations have been well anchored, as judged by the Wald statistic. IP surprises continue to have a (weakly) significant impact, however, on far-forward inflation compensation. Table 8 shows the high Wald statistic for Chile in both the pre-crisis and crisis period. Our pre-crisis results for Chile are in contrast with the results of Gu¨rkaynak et al. (2007a) who found that inflation expectations were well-anchored between August 2002 and October 2005. However, as noted earlier, our sample is longer and incorporates more newssurprises. Since theadvent of the crisis, Chilean inflation compensation continues to significantly react to CPI surprises. However, 2 both the R and the Wald-statistic have decline somewhat. Table 9 shows that the results for Mexico for the pre-crisis and crisis periods are very similar. During the crisis period, the coefficient of policy rate surprises is negative and significant, as unexpected rate hikes early in the crisis 28In recent years, over 75 percent of Mexico’s exports have gone to the United States. Since the mid-2000s, the share of Brazilian and Chilean exportsto China has grown from about 5 and 15 percent in themid-2000s to 15 and 20percentmore recently. TheUnitedStatesremainsimportant asan exportdestination for thesetwocountriesbut lesssosincethemid-2000s. Overthepast3years,about10percentofBrazil’sandChile’sexportswenttotheUnited States. 19
lowered inflation compensation, while the BOM’s unexpected rate cut on March 8, 2013—its first rate adjustment since 2009—pushed up inflation compensation. Overall, we find no clear evidence of any changes in the anchoring of inflation expectations since the onset of the financial crisis in Brazil, Chile, and Mexico. A more sophisticated subsample analysis to assess the impact of the financial crisis could perhaps shed more light on the anchoring of inflation expectations before and since the crisis, for example an approach of formally testing for breaks as used in Galati et al. (2011). However, we do not address this here and leave this interesting approach for further research. In Appendix B, we do analyze the results of a somewhat more structured approach to subsample analysis by showing rolling-window regressions results, using 5-year moving windows. These generally confirm the subsample results presented here. 5 Conclusion In this paper, we explored whether long-term inflation expectations have become better anchored in Brazil, Chile, and Mexico, all having adopted inflation-targeting frameworks as their monetary policy strategy over a decade ago to put an end to high inflation. We examined how close inflation expectations have been to theannounced inflation targets through an informal andformal analysis, using survey-based as well financial-market-based measures of inflation expectations. We find that survey-based measures of medium- and long-term inflation expectations in all three countries have been close to or at the inflation target, despite differences among the three with respect to the ways that the central banks communicate their commitment to low inflation. Measures of far-forward inflation compensation derived from Chilean sovereign bond prices suggest that for the most part investors have been confident that the Central Bank of Chile will bring inflation back to the target. For Brazil and Mexico, far-forward inflation compensation has tended 1 to exceed the inflation target by 1 to 1 percentage points in most recent years, suggesting that 2 investors have demanded extra compensation to allow for the risk that the inflation target will not be met in either country. For Brazil, the inflation risk premium might reflect some uncertainty aboutthelong-term inflationtarget, whichwouldbeconsistent withtheupwarddriftinthesurveybasedmeasureofinflation expectations. Theseinflationrisk premiaareremarkably small, however, considering both Brazil’s and Mexico’s more recent inflationary record. Our regression analysis shows that inflation compensation has been sensitive to the surprises of at least one domestic macro variable in each country, and to some U.S. and Chinese new surprises. However, the impact of these surprisesis small and it does not appear that investors systematically alter their expectations for inflation as a result of surprises in monetary policy, consumer prices, or real activity variables. Overall, our results show that Brazil, Chile, and Mexico have done a remarkable job in convincing investors that their inflation targets are credible and that inflation can be contained. 20
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Table 1: BRAZIL: Baseline Model (Full Sample: Jul-2006 - Apr-2013) number stdev. 1-yr 1-yr forward 1-yr forward 1-yr forward variable of obs. surprise nominal rate nominal rate real rate infl. comp. ending 7 yrs ending 7 yrs ending 7 yrs Macro News Surprises POLICY RATE 53 - 0.31∗∗∗ -0.18∗∗∗ -0.31∗∗∗ 0.13∗∗∗ (4.91)∗∗∗ (-1.18)∗∗∗ (-3.83)∗∗∗ (0.84)∗∗∗ CPI 78 0.06 2.48∗∗∗ 1.75∗∗∗ -0.41∗∗∗ 2.12∗∗∗ (3.21)∗∗∗ (0.94)∗∗∗ (-0.40)∗∗∗ (1.08)∗∗∗ IP 78 1.09 3.49∗∗∗ 1.21∗∗∗ -0.12∗∗∗ 4.84∗∗∗ (4.82)∗∗∗ (0.70)∗∗∗ (-0.13)∗∗∗ (2.13)∗∗∗ PMI - - - - - - - - - - RETAIL SALES 79 1.30 1.41∗∗∗ 1.90∗∗∗ -0.32∗∗∗ 2.17∗∗∗ (1.89)∗∗∗ (1.09)∗∗∗ (-0.34)∗∗∗ (1.20)∗∗∗ TRADE BALANCE 78 602 -1.01∗∗∗ 1.23∗∗∗ -1.80∗∗∗ 3.25∗∗∗ (-1.18)∗∗∗ (0.60)∗∗∗ (-1.63)∗∗∗ (1.53)∗∗∗ GDP 26 0.44 4.99∗∗∗ 7.84∗∗∗ -1.47∗∗∗ 3.19∗∗∗ (2.41)∗∗∗ (2.46)∗∗∗ (-0.74)∗∗∗ (0.79)∗∗∗ UNEMPL. RATE 79 0.27 -1.94∗∗∗ -0.55∗∗∗ 0.63∗∗∗ -1.17∗∗∗ (-2.68)∗∗∗ (-0.32)∗∗∗ (0.67)∗∗∗ (-0.65)∗∗∗ Total number of obs. 425∗∗∗ 427∗∗∗ 426∗∗∗ 424∗∗∗ R 2 15%∗∗∗ 3%∗∗∗ 4%∗∗∗ 3%∗∗∗ adj.R 2 14%∗∗∗ 1%∗∗∗ 2%∗∗∗ 1%∗∗∗ Wald-statistic 75.54∗∗∗ 10.55∗∗∗ 18.08∗∗∗ 11.17∗∗∗ (p-value) (0.00)∗∗∗ (0.16)∗∗∗ (0.01)∗∗∗ (0.13)∗∗∗ Notes: The table shows results in columns three to six of regressing Brazilian short-term and 1-year far-forward rates on several domestic macro news surprises for the full sample period July 2006 - April 2013, including only those days on which at least one Brazilian macroeconomic figure is released. The surprises in the policy rate are recorded in basis points, while all other macroeconomic surprises are normalized by their standard deviation. The first column shows the numberofincluded observationsperindividualnews surprise. The second column inthetableshows themagnitudeof a one-standarddeviationsurprise,expressedintheunitofeachsurprise;percentagetermsforeachvariable,exceptforPMI which is in points, and trade balance which is in millions of dollars. Besides the surprise variables shown, also included in the regressions are a constant and a dummy that takes on the value of one on the first business day of the year and zero on all other days. Student-tstatistics are presented between parentheses, while *** indicates significance at the 1% level, ** at the 5% level and * at the 10% level. The Wald statistic and accompanying p-value are for testing the null hypothesisthat all coefficients (with theexception of theconstant and the yearly dummy)are equal to zero.
Table 2: CHILE: Baseline Model (Full Sample: Oct-2002 - Apr-2013) number stdev. 1-yr 1-yr forward 1-yr forward 1-yr forward variable of obs. surprise nominal rate nominal rate real rate infl. comp. ending 7 yrs ending 7 yrs ending 7 yrs Macro News Surprises POLICY RATE 124 - 0.10∗∗∗ -0.03∗∗∗ 0.00∗∗∗ -0.04∗∗∗ (3.14)∗∗∗ (-0.74)∗∗∗ (0.01)∗∗∗ (-0.71)∗∗∗ CPI 87 0.26 4.45∗∗∗ 5.86∗∗∗ 0.83∗∗∗ 3.94∗∗∗ (6.58)∗∗∗ (5.57)∗∗∗ (1.00)∗∗∗ (3.31)∗∗∗ IP 99 2.62 1.35∗∗∗ 0.16∗∗∗ 1.30∗∗∗ -1.13∗∗∗ (2.22)∗∗∗ (0.17)∗∗∗ (1.81)∗∗∗ (-1.09)∗∗∗ PMI - - - - - - - - - - RETAIL SALES 25 2.39 0.28∗∗∗ 1.70∗∗∗ 0.24∗∗∗ 1.42∗∗∗ (0.21)∗∗∗ (0.91)∗∗∗ (0.17)∗∗∗ (0.67)∗∗∗ TRADE BALANCE 111 397 -0.10∗∗∗ -0.89∗∗∗ 0.81∗∗∗ -1.85∗∗∗ (-0.17)∗∗∗ (-0.93)∗∗∗ (1.11)∗∗∗ (-1.71)∗∗∗ GDP 35 0.26 1.80∗∗∗ 2.55∗∗∗ -0.58∗∗∗ 3.04∗∗∗ (1.77)∗∗∗ (1.62)∗∗∗ (-0.47)∗∗∗ (1.71)∗∗∗ UNEMPL. RATE 123 0.22 0.11∗∗∗ 1.52∗∗∗ 0.43∗∗∗ 1.12∗∗∗ (0.19)∗∗∗ (1.79)∗∗∗ (0.63)∗∗∗ (1.15)∗∗∗ Number of obs. 481∗∗∗ 483∗∗∗ 481∗∗∗ 481∗∗∗ R 2 12%∗∗∗ 9%∗∗∗ 1%∗∗∗ 5%∗∗∗ adj.R 2 10%∗∗∗ 7%∗∗∗ 0%∗∗∗ 3%∗∗∗ Wald-statistic 62.33∗∗∗ 38.98∗∗∗ 6.01∗∗∗ 20.45∗∗∗ (p-value) (0.00)∗∗∗ (0.00)∗∗∗ (0.54)∗∗∗ (0.01)∗∗∗ Notes: The table shows results in columns three to six of regressing Chilean short-term and 1-year far-forward rates on severaldomesticmacronewssurprisesforthefullsampleperiodOctober2002-April2013forChile,includingonlythose dayson which at least one Chilean macroeconomic figure is released. Seethe notes toTable 1 for further details.
Table 3: MEXICO: Baseline Model (Full Sample: Jan-2003 - Apr-2013) number stdev. 1-yr 1-yr forward 1-yr forward 1-yr forward variable of obs. surprise nominal rate nominal rate real rate infl. comp. ending 7 yrs ending 7 yrs ending 7 yrs Macro News Surprises POLICY RATE 79 - 0.60∗∗∗ -0.16∗∗∗ 0.17∗∗∗ -0.16∗∗∗ (7.31)∗∗∗ (-1.32)∗∗∗ (1.75)∗∗∗ (-1.48)∗∗∗ CPI 97 0.06 0.83∗∗∗ 1.07∗∗∗ -0.94∗∗∗ 2.03∗∗∗ (1.28)∗∗∗ (0.93)∗∗∗ (-1.26)∗∗∗ (1.94)∗∗∗ IP 118 1.24 1.10∗∗∗ 2.41∗∗∗ 0.76∗∗∗ 1.59∗∗∗ (1.87)∗∗∗ (2.41)∗∗∗ (1.12)∗∗∗ (1.74)∗∗∗ PMI 41 1.32 0.27∗∗∗ -1.08∗∗∗ 0.53∗∗∗ -1.15∗∗∗ (0.25)∗∗∗ (-0.62)∗∗∗ (0.40)∗∗∗ (-0.68)∗∗∗ RETAIL SALES 119 1.78 -0.04∗∗∗ -0.17∗∗∗ -0.87∗∗∗ -0.28∗∗∗ (-0.07)∗∗∗ (-0.17)∗∗∗ (-1.21)∗∗∗ (-0.29)∗∗∗ TRADE BALANCE 116 687 0.00∗∗∗ -0.69∗∗∗ 0.73∗∗∗ -0.60∗∗∗ (-0.01)∗∗∗ (-0.67)∗∗∗ (0.95)∗∗∗ (-0.63)∗∗∗ GDP 39 0.35 -1.52∗∗∗ -0.03∗∗∗ 0.21∗∗∗ -1.68∗∗∗ (-1.43)∗∗∗ (-0.02)∗∗∗ (0.18)∗∗∗ (-0.93)∗∗∗ UNEMPL. RATE 120 0.29 0.09∗∗∗ -1.10∗∗∗ 0.30∗∗∗ -0.58∗∗∗ (0.15)∗∗∗ (-1.08)∗∗∗ (0.42)∗∗∗ (-0.62)∗∗∗ Number of obs. 679∗∗∗ 680∗∗∗ 673∗∗∗ 678∗∗∗ R 2 8%∗∗∗ 2%∗∗∗ 1%∗∗∗ 2%∗∗∗ adj.R 2 7%∗∗∗ 0%∗∗∗ 0%∗∗∗ 0%∗∗∗ Wald-statistic 61.48∗∗∗ 10.22∗∗∗ 8.70∗∗∗ 10.98∗∗∗ (p-value) (0.00)∗∗∗ (0.25)∗∗∗ (0.37)∗∗∗ (0.20)∗∗∗ Notes: The table shows results in columns three to six of regressing Mexican short-term and 1-year far-forward rates on several domestic macro news surprises for the full sample period January 2003 - April 2013 for Mexico, including only those dayson which at least one Mexican macroeconomic figureis released. See thenotes to Table 1 for furtherdetails.
Table 4: Baseline Models with U.S. Surprises (Full Sample) Brazil Chile Mexico stdev. 1-yr 1-yrfwd stdev. 1-yr 1-yr fwd stdev. 1-yr 1-yrfwd variable surpr. nom. rate infl. comp. surpr. nom. rate infl. comp. surpr. nom. rate infl. comp. end. 7 yrs end. 10 yrs end. 7 yrs DOMESTICMacro News Surprises POLICY RATE - 0.30∗∗∗ 0.15∗∗∗ - 0.07∗∗∗ -0.03∗∗∗ - 0.55∗∗∗ -0.13∗∗∗ CPI 0.06 2.54∗∗∗ 2.17∗∗∗ 0.26 4.29∗∗∗ 4.30∗∗∗ 0.06 0.83∗∗∗ 1.78∗∗∗ IP 1.09 3.45∗∗∗ 5.01∗∗∗ 2.62 1.20∗∗∗ -1.07∗∗∗ 1.24 1.04∗∗∗ 1.62∗∗∗ PMI - - - - - - 1.32 1.46∗∗∗ -1.95∗∗∗ RETAIL SALES 1.30 1.38∗∗∗ 2.27∗∗∗ 2.39 0.32∗∗∗ 1.38∗∗∗ 1.78 -0.02∗∗∗ 0.14∗∗∗ TRADEBALANCE 602 -1.10∗∗∗ 3.47∗∗∗ 397 -0.08∗∗∗ -1.69∗∗∗ 687 0.01∗∗∗ -0.64∗∗∗ GDP 0.44 5.08∗∗∗ 3.33∗∗∗ 0.26 1.80∗∗∗ 2.88∗∗∗ 0.35 -1.91∗∗∗ -0.15∗∗∗ UNEMPL. RATE 0.27 -2.05∗∗∗ -1.86∗∗∗ 0.22 0.26∗∗∗ 1.11∗∗∗ 0.29 0.07∗∗∗ -0.61∗∗∗ U.S.Macro News Surprises POLICY RATE - 0.33∗∗∗ 0.52∗∗∗ - 0.07∗∗∗ 0.11∗∗∗ - 0.18∗∗∗ 0.49∗∗∗ (1.33)∗∗∗ (0.88)∗∗∗ (0.51)∗∗∗ (0.36)∗∗∗ (0.39)∗∗∗ (1.23)∗∗∗ CPI 0.17 0.60∗∗∗ -0.42∗∗∗ 0.17 -0.18∗∗∗ -2.18∗∗∗ 0.17 -0.14∗∗∗ -2.05∗∗∗ (0.74)∗∗∗ (-0.22)∗∗∗ (-0.32)∗∗∗ (-1.98)∗∗∗ (-0.11)∗∗∗ (-1.94)∗∗∗ IP 0.45 0.31∗∗∗ -4.03∗∗∗ 0.41 0.38∗∗∗ 0.45∗∗∗ 0.41 1.73∗∗∗ 0.25∗∗∗ (0.34)∗∗∗ (-1.89)∗∗∗ (0.68)∗∗∗ (0.40)∗∗∗ (1.32)∗∗∗ (0.22)∗∗∗ PMI 3.90 -1.04∗∗∗ 2.08∗∗∗ 4.17 0.15∗∗∗ 0.10∗∗∗ 4.18 -0.07∗∗∗ 0.73∗∗∗ (-1.36)∗∗∗ (1.14)∗∗∗ (0.32)∗∗∗ (0.10)∗∗∗ (-0.06)∗∗∗ (0.74)∗∗∗ RETAIL SALES 0.53 -0.20∗∗∗ 0.85∗∗∗ 0.53 -0.24∗∗∗ 0.48∗∗∗ 0.54 -0.46∗∗∗ 1.21∗∗∗ (-0.27)∗∗∗ (0.45)∗∗∗ (-0.47)∗∗∗ (0.47)∗∗∗ (-0.40)∗∗∗ (1.23)∗∗∗ TRADEBALANCE 3.64 1.07∗∗∗ 0.11∗∗∗ 3.64 -1.01∗∗∗ 0.88∗∗∗ 3.49 -1.25∗∗∗ 1.38∗∗∗ (1.35)∗∗∗ (0.06)∗∗∗ (-2.07)∗∗∗ (0.90)∗∗∗ (-1.09)∗∗∗ (1.41)∗∗∗ GDP 0.62 0.95∗∗∗ -2.74∗∗∗ 0.66 0.22∗∗∗ 0.23∗∗∗ 0.67 1.24∗∗∗ 1.99∗∗∗ (0.73)∗∗∗ (-0.88)∗∗∗ (0.25)∗∗∗ (0.13)∗∗∗ (0.63)∗∗∗ (1.19)∗∗∗ CONS. CONFIDENCE 3.83 0.22∗∗∗ -0.86∗∗∗ 3.89 0.34∗∗∗ 2.52∗∗∗ 3.90 1.23∗∗∗ 0.65∗∗∗ (0.29)∗∗∗ (-0.45)∗∗∗ (0.71)∗∗∗ (2.58)∗∗∗ (1.08)∗∗∗ (0.67)∗∗∗ INITIAL CLAIMS 19 -0.32∗∗∗ 1.25∗∗∗ 18 0.19∗∗∗ 0.21∗∗∗ 18 -0.33∗∗∗ -0.16∗∗∗ (-0.80)∗∗∗ (1.37)∗∗∗ (0.79)∗∗∗ (0.42)∗∗∗ (-0.58)∗∗∗ (-0.33)∗∗∗ ISM 1.91 0.63∗∗∗ -1.57∗∗∗ 2.02 0.16∗∗∗ 0.90∗∗∗ 1.99 1.08∗∗∗ 0.39∗∗∗ (0.77)∗∗∗ (-0.79)∗∗∗ (0.31)∗∗∗ (0.87)∗∗∗ (0.91)∗∗∗ (0.38)∗∗∗ NEW HOMESALES 42 0.03∗∗∗ 0.70∗∗∗ 65 0.35∗∗∗ -0.81∗∗∗ 65 0.51∗∗∗ -1.18∗∗∗ (0.04)∗∗∗ (0.40)∗∗∗ (0.72)∗∗∗ (-0.83)∗∗∗ (0.44)∗∗∗ (-1.21)∗∗∗ NONFARMPAYROLLS 65 0.14∗∗∗ 1.14∗∗∗ 77 0.54∗∗∗ 3.35∗∗∗ 78 1.82∗∗∗ 2.19∗∗∗ (0.18)∗∗∗ (0.60)∗∗∗ (1.09)∗∗∗ (3.35)∗∗∗ (1.56)∗∗∗ (2.20)∗∗∗ UNEMPL. RATE 0.17 0.22∗∗∗ 1.26∗∗∗ 0.15 -0.31∗∗∗ -1.99∗∗∗ 0.15 -0.67∗∗∗ 0.58∗∗∗ (0.29)∗∗∗ (0.69)∗∗∗ (-0.62)∗∗∗ (-2.01)∗∗∗ (-0.59)∗∗∗ (0.59)∗∗∗ Numberof obs. 969∗∗∗ 968∗∗∗ 1544∗∗∗ 1548∗∗∗ 1709∗∗∗ 1709∗∗∗ R2 8%∗∗∗ 3%∗∗∗ 4%∗∗∗ 3%∗∗∗ 8%∗∗∗ 2%∗∗∗ adj.R2 6%∗∗∗ 1%∗∗∗ 3%∗∗∗ 2%∗∗∗ 7%∗∗∗ 0%∗∗∗ Wald-statistic 80.74∗∗∗ 24.57∗∗∗ 67.81∗∗∗ 46.27∗∗∗ 27.79∗∗∗ 27.43∗∗∗ (p-value) (0.00)∗∗∗ (0.22)∗∗∗ (0.00)∗∗∗ (0.00)∗∗∗ (0.15)∗∗∗ (0.16)∗∗∗ Notes: The table shows full-sample regression results for Brazil (first three columns), Chile (middle three columns) and Mexico (final three columns), including only those days on which at least one domestic or U.S. macroeconomic figure is released. Full sample is July 2006 - April 2013 for Brazil, October 2002 - April 2013 for Chile, and January 2003 - April 2013 for Mexico. The one-standard deviation for U.S.surprises (in thefirst column for each country)is in basis points for thefedfundstargetrate, pointsforPMI,ISM,andconsumerconfidence;thousandsforinitialclaims, newhomesales, and nonfarm payrolls; billions of dollars for trade; and percentage points for all other surprises. See the notes to Table 1 for furtherdetails.
Table 5: Baseline Models with Chinese Surprises (Full Sample) Brazil Chile Mexico stdev. 1-yr 1-yrfwd stdev. 1-yr 1-yrfwd stdev. 1-yr 1-yrfwd variable surpr. nom. rate infl. comp. surpr. nom. rate infl. comp. surpr. nom. rate infl. comp. end. 7 yrs end. 10 yrs end. 7 yrs DOMESTICMacro News Surprises POLICY RATE - 0.31∗∗∗ 0.16∗∗∗ - 0.09∗∗∗ -0.03∗∗∗ - 0.61∗∗∗ -0.16∗∗∗ CPI 0.06 2.45∗∗∗ 2.10∗∗∗ 0.26 4.47∗∗∗ 3.98∗∗∗ 0.06 0.84∗∗∗ 2.05∗∗∗ IP 1.08 3.60∗∗∗ 5.06∗∗∗ 2.62 1.35∗∗∗ -1.07∗∗∗ 1.24 1.02∗∗∗ 1.60∗∗∗ PMI - - - - - - 1.32 0.29∗∗∗ -1.24∗∗∗ RETAIL SALES 1.30 1.34∗∗∗ 2.18∗∗∗ 2.39 0.30∗∗∗ 1.29∗∗∗ 1.78 -0.04∗∗∗ -0.26∗∗∗ TRADEBALANCE 602 -1.01∗∗∗ 3.09∗∗∗ 397 -0.06∗∗∗ -1.94∗∗∗ 687 -0.03∗∗∗ -0.58∗∗∗ GDP 0.44 5.01∗∗∗ 3.63∗∗∗ 0.26 1.80∗∗∗ 2.99∗∗∗ 0.35 -1.49∗∗∗ -1.60∗∗∗ UNEMPL. RATE 0.27 -1.83∗∗∗ -1.04∗∗∗ 0.22 0.11∗∗∗ 1.15∗∗∗ 0.29 0.08∗∗∗ -0.57∗∗∗ CHINESEMacro News Surprises CPI 0.34 1.14∗∗∗ -0.94∗∗∗ 0.39 0.62∗∗∗ -0.24∗∗∗ 0.39 0.70∗∗∗ -1.03∗∗∗ (1.45)∗∗∗ (-0.47)∗∗∗ (1.03)∗∗∗ (-0.23)∗∗∗ (1.06)∗∗∗ (-1.04)∗∗∗ IP 1.35 -1.15∗∗∗ 5.14∗∗∗ 1.33 -1.18∗∗∗ 0.40∗∗∗ 1.33 -0.05∗∗∗ 1.87∗∗∗ (-1.26)∗∗∗ (2.22)∗∗∗ (-1.49)∗∗∗ (0.33)∗∗∗ (-0.07)∗∗∗ (1.60)∗∗∗ PMI 0.89 -0.04∗∗∗ 1.60∗∗∗ 0.89 -0.38∗∗∗ 1.57∗∗∗ 0.89 0.47∗∗∗ -0.69∗∗∗ (-0.04)∗∗∗ (0.66)∗∗∗ (-0.36)∗∗∗ (0.85)∗∗∗ (0.49)∗∗∗ (-0.47)∗∗∗ RETAIL SALES 1.18 0.13∗∗∗ 1.02∗∗∗ 1.17 -1.06∗∗∗ -0.68∗∗∗ 1.17 -0.59∗∗∗ 0.23∗∗∗ (0.16)∗∗∗ (0.49)∗∗∗ (-1.49)∗∗∗ (-0.42)∗∗∗ (-0.80)∗∗∗ (0.21)∗∗∗ TRADEBALANCE 8.1 -0.11∗∗∗ -0.51∗∗∗ 7.4 0.18∗∗∗ -0.26∗∗∗ 7.4 -0.31∗∗∗ 0.13∗∗∗ (-0.13)∗∗∗ (-0.26)∗∗∗ (0.30)∗∗∗ (-0.24)∗∗∗ (-0.46)∗∗∗ (0.13)∗∗∗ GDP 0.34 0.18∗∗∗ -6.90∗∗∗ 0.39 1.31∗∗∗ 0.88∗∗∗ 0.39 1.07∗∗∗ -0.56∗∗∗ (0.12)∗∗∗ (-1.87)∗∗∗ (1.24)∗∗∗ (0.48)∗∗∗ (0.93)∗∗∗ (-0.31)∗∗∗ Numberof obs. 577∗∗∗ 579∗∗∗ 681∗∗∗ 681∗∗∗ 868∗∗∗ 867∗∗∗ R2 14%∗∗∗ 4%∗∗∗ 10%∗∗∗ 4%∗∗∗ 7%∗∗∗ 2%∗∗∗ adj.R2 12%∗∗∗ 1%∗∗∗ 8%∗∗∗ 2%∗∗∗ 6%∗∗∗ 0%∗∗∗ Wald-statistic 89.26∗∗∗ 19.61∗∗∗ 70.22∗∗∗ 23.06∗∗∗ 65.62∗∗∗ 15.80∗∗∗ (p-value) (0.00)∗∗∗ (0.11)∗∗∗ (0.00)∗∗∗ (0.04)∗∗∗ (0.00)∗∗∗ (0.33)∗∗∗ Notes: The table shows full-sample regression results for Brazil (first three columns), Chile (middle three columns) andMexico(finalthreecolumns),includingonlythosedaysonwhichatleast onedomesticorChinesemacroeconomic figure is released. Full sample is July 2006 - April 2013 for Brazil, October 2002 - April 2013 for Chile, and January 2003 - April 2013 for Mexico. The one-standard deviation for Chinese surprises (in the first column for each country) is in points for PMI; billions of dollars for trade; and percentage points for all other surprises. See the notes to Table 1 for further details.
Table 6: Time table of data releases Month X Month X+1 Month X+2 Month X+3 week number: 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 Brazil PMI - - - - X - - - - - - - - - - - Trade Balance - - - - X - - - - - - - - - - - CPI (IPCA) - - - - X X - - - - - - - - - - IP - - - - - - - - X - - - - - - - Retail Sales - - - - - - - - - X X - - - - - Unempl. rate - - - - - - - - - - X X - - - - GDP - - - - - - - - - - - X X X - - Chile CPI - - - - X X - - - - - - - - - - Trade Balance - - - - X X - - - - - - - - - - Retail Sales - - - - - - - X - - - - - - - - IP - - - - - - - X - - - - - - - - Unempl. rate (*) - - - - - - - X - - - - - - - - GDP - - - - - - - - - - X X - - - - Mexico PMI (IMEF) - - - - X - - - - - - - - - - - CPI - - - - X X - - - - - - - - - - Unempl. rate - - - - - - X X - - - - - - - - Trade Balance - - - - - - - X - - - - - - - - IP - - - - - - - - - X - - - - - GDP - - - - - - - - - - X - - - - - Retail Sales - - - - - - - - - - X X - - - - United States Cons. Confidence - X X - - - - - - - - - - - - - Initial Claims (**) - X X X X - - - - - - - - - - - PMI - - - X - - - - - - - - - - - - Unempl. rate - - - - X - - - - - - - - - - - Nonfarm Payrolls - - - - X - - - - - - - - - - - Retail Sales - - - - - X - - - - - - - - - - Trade Balance - - - - - X - - - - - - - - - - CPI - - - - - - X - - - - - - - - - IP - - - - - - X - - - - - - - - - New Home Sales - - - - - - - X - - - - - - - - GDP (Advance) - - - - - - - X - - - - - - - - China PMI - - - X X - - - - - - - - - - - Trade Balance - - - - X - - - - - - - - - - - CPI - - - - X X - - - - - - - - - - IP - - - - X X - - - - - - - - - - Retail Sales - - - - X X - - - - - - - - - - GDP - - - - - - X - - - - - - - - - Notes: The table shows in which weeks different macro figures for month X are released. Data is either released in the actual month (columns 1 through 4), the following month (columns 5 through 8), or in the months after that (columns 9 through 16). The timetable for U.S.data releases is from Andersson, Overby,and Sebesty´en (2009). (*) For Chile, the unemployment rate is the 3-month moving average rate. Before March 2009, unemployment was released thefirst week of month X+2. Sincethen, therelease has been in thelast week of month X+1. (**) Initial claims for the U.S. are released weekly, with a release always reflecting claims for the week ending on the Friday prior to therelease.
Table 7: BRAZIL: Baseline Model (Pre-Crisis and Crisis Samples) Pre-crisis: Jul-2006 - Jun-2007 Crisis: Jul-2007 - Apr-2013 stdev. 1-yr 1-yr forward stdev. 1-yr 1-yr forward variable surprise nominal rate infl. comp. surprise nominal rate infl. comp. ending 7 yrs ending 7 yrs Macro News Surprises POLICY RATE - 0.52∗∗∗ 1.77∗∗∗ - 0.20∗∗∗ 0.07∗∗∗ (1.89)∗∗∗ (3.18)∗∗∗ (2.63)∗∗∗ (0.40)∗∗∗ CPI 0.07 3.17∗∗∗ 3.11∗∗∗ 0.06 2.34∗∗∗ 1.93∗∗∗ (1.78)∗∗∗ (0.87)∗∗∗ (2.77)∗∗∗ (0.87)∗∗∗ IP 0.69 2.55∗∗∗ 3.83∗∗∗ 1.14 3.64∗∗∗ 4.90∗∗∗ (1.54)∗∗∗ (1.15)∗∗∗ (4.64)∗∗∗ (1.88)∗∗∗ PMI - - - - - - - - - - RETAIL SALES 1.82 1.64∗∗∗ 3.60∗∗∗ 1.18 1.49∗∗∗ 1.92∗∗∗ (1.04)∗∗∗ (1.14)∗∗∗ (1.80)∗∗∗ (0.93)∗∗∗ TRADE BALANCE 470 3.53∗∗∗ 3.20∗∗∗ 622 -1.02∗∗∗ 3.41∗∗∗ (1.35)∗∗∗ (0.61)∗∗∗ (-1.11)∗∗∗ (1.46)∗∗∗ GDP 0.22 5.92∗∗∗ -7.39∗∗∗ 0.47 2.82∗∗∗ 3.03∗∗∗ (1.99)∗∗∗ (-1.24)∗∗∗ (1.67)∗∗∗ (0.65)∗∗∗ UNEMPL. RATE 0.34 0.90∗∗∗ 5.72∗∗∗ 0.25 -2.22∗∗∗ -2.39∗∗∗ (0.53)∗∗∗ (1.69)∗∗∗ (-2.89)∗∗∗ (-1.21)∗∗∗ Number of obs. 66∗∗∗ 66∗∗∗ 359∗∗∗ 358∗∗∗ R 2 32%∗∗∗ 28%∗∗∗ 13%∗∗∗ 3%∗∗∗ adj.R 2 22%∗∗∗ 18%∗∗∗ 11%∗∗∗ 1%∗∗∗ F−statistic 26.35∗∗∗ 17.37∗∗∗ 50.71∗∗∗ 9.29∗∗∗ (p-value) (0.00)∗∗∗ (0.02)∗∗∗ (0.00)∗∗∗ (0.23)∗∗∗ Notes: The table shows regression results for Brazil for the pre-crisis sample period July 2006 - June 2007 (the three leftmostcolumns)andthecrisissampleperiodJuly2007-April2013(thethreerightmostcolumns),includingonlythose dayson which at least one Brazilian macroeconomic figure is released. Seethe notes toTable 1 for further details.
Table 8: CHILE: Baseline Model (Pre-Crisis and Crisis Samples) Pre-crisis: Jul-2006 - Jun-2007 Crisis: Jul-2007 - Apr-2013 stdev. 1-yr 1-yr forward stdev. 1-yr 1-yr forward variable surprise nominal rate infl. comp. surprise nominal rate infl. comp. ending 7 yrs ending 7 yrs Macro News Surprises POLICY RATE - 0.03∗∗∗ 0.14∗∗∗ - 0.12∗∗∗ -0.06∗∗∗ (0.69)∗∗∗ (1.01)∗∗∗ (2.81)∗∗∗ (-1.27)∗∗∗ CPI 0.20 0.43∗∗∗ 4.84∗∗∗ 0.28 5.49∗∗∗ 3.75∗∗∗ (0.49)∗∗∗ (1.92)∗∗∗ (5.90)∗∗∗ (2.90)∗∗∗ IP 2.16 1.73∗∗∗ -3.40∗∗∗ 2.81 1.78∗∗∗ -0.69∗∗∗ (2.43)∗∗∗ (-1.66)∗∗∗ (2.09)∗∗∗ (-0.59)∗∗∗ PMI - - - - - - - - - - RETAIL SALES - - - 2.27 0.38∗∗∗ 0.65∗∗∗ - - (0.26)∗∗∗ (0.32)∗∗∗ TRADE BALANCE 214 1.16∗∗∗ -1.78∗∗∗ 478 -0.47∗∗∗ -2.48∗∗∗ (1.88)∗∗∗ (-1.00)∗∗∗ (-0.51)∗∗∗ (-1.86)∗∗∗ GDP 0.24 1.69∗∗∗ 4.95∗∗∗ 0.28 1.89∗∗∗ 2.21∗∗∗ (1.47)∗∗∗ (1.50)∗∗∗ (1.24)∗∗∗ (1.06)∗∗∗ UNEMPL. RATE 0.20 0.22∗∗∗ 4.40∗∗∗ 0.23 0.41∗∗∗ -0.55∗∗∗ (0.40)∗∗∗ (2.80)∗∗∗ (0.46)∗∗∗ (-0.46)∗∗∗ Number of obs. 192∗∗∗ 191∗∗∗ 291∗∗∗ 290∗∗∗ R 2 7%∗∗∗ 9%∗∗∗ 15%∗∗∗ 5%∗∗∗ adj.R 2 3%∗∗∗ 6%∗∗∗ 13%∗∗∗ 3%∗∗∗ Wald-statistic 12.74∗∗∗ 17.82∗∗∗ 49.91∗∗∗ 15.46∗∗∗ (p-value) (0.05)∗∗∗ (0.01)∗∗∗ (0.00)∗∗∗ (0.03)∗∗∗ Notes: The table shows regression results for Chile for the pre-crisis sample period October 2002 - June 2007 (the three leftmostcolumns)andthecrisissampleperiodJuly2007-April2013(thethreerightmostcolumns),includingonlythose dayson which at least one Chilean macroeconomic figure is released. Seethe notes toTable 1 for further details.
Table 9: MEXICO: Baseline Model (Pre-Crisis and Crisis Samples) Pre-crisis: Jul-2006 - Jun-2007 Crisis: Jul-2007 - Apr-2013 stdev. 1-yr 1-yr forward stdev. 1-yr 1-yr forward variable surprise nominal rate infl. comp. surprise nominal rate infl. comp. ending 7 yrs ending 7 yrs Macro News Surprises POLICY RATE - 0.68∗∗∗ 0.32∗∗∗ - 0.62∗∗∗ -0.19∗∗∗ (2.18)∗∗∗ (0.86)∗∗∗ (7.43)∗∗∗ (-2.04)∗∗∗ CPI 0.07 1.07∗∗∗ 2.97∗∗∗ 0.06 0.73∗∗∗ 1.60∗∗∗ (0.75)∗∗∗ (1.25)∗∗∗ (1.11)∗∗∗ (1.61)∗∗∗ IP 1.23 2.04∗∗∗ 2.56∗∗∗ 1.25 0.25∗∗∗ 0.88∗∗∗ (2.01)∗∗∗ (1.52)∗∗∗ (0.36)∗∗∗ (0.90)∗∗∗ PMI - - - 1.32 0.28∗∗∗ -1.14∗∗∗ - - (0.31)∗∗∗ (-0.87)∗∗∗ RETAIL SALES 1.81 -1.72∗∗∗ 0.09∗∗∗ 1.77 1.31∗∗∗ 0.13∗∗∗ (-1.57)∗∗∗ (0.05)∗∗∗ (1.96)∗∗∗ (0.13)∗∗∗ TRADE BALANCE 443 0.88∗∗∗ 1.03∗∗∗ 816 -0.33∗∗∗ -0.86∗∗∗ (0.79)∗∗∗ (0.53)∗∗∗ (-0.50)∗∗∗ (-0.90)∗∗∗ GDP 0.37 -4.53∗∗∗ -2.66∗∗∗ 0.34 1.14∗∗∗ -1.15∗∗∗ (-2.37)∗∗∗ (-0.67)∗∗∗ (0.94)∗∗∗ (-0.66)∗∗∗ UNEMPL. RATE 0.28 -0.07∗∗∗ -0.60∗∗∗ 0.29 0.18∗∗∗ -1.06∗∗∗ (-0.07)∗∗∗ (-0.34)∗∗∗ (0.27)∗∗∗ (-1.05)∗∗∗ Number of obs. 263∗∗∗ 262∗∗∗ 414∗∗∗ 414∗∗∗ R 2 7%∗∗∗ 3%∗∗∗ 13%∗∗∗ 3%∗∗∗ adj.R 2 4%∗∗∗ 0%∗∗∗ 11%∗∗∗ 0%∗∗∗ Wald-statistic 18.06∗∗∗ 5.39∗∗∗ 61.99∗∗∗ 10.37∗∗∗ (p-value) (0.01)∗∗∗ (0.61)∗∗∗ (0.00)∗∗∗ (0.24)∗∗∗ Notes: Thetableshowsregression resultsforMexicoforthepre-crisissampleperiodJanuary2003-June2007(thethree leftmostcolumns)andthecrisissampleperiodJuly2007-April2013(thethreerightmostcolumns),includingonlythose dayson which at least one Mexican macroeconomic figureis released. See thenotes to Table 1 for furtherdetails.
Figure 1: Brazil: Inflation, survey measures, and forward inflation compensation A. Inflation Percent 18 16 14 12 Headline 10 Core 8 6 Target 4 2 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 B. Long-term Inflation Expectations Percent 12 10 8 Consensus Forecasts 6 4 2 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 C. 1-Year Forward Inflation Compensation Ending in 7 Years Percent 12 10 8 6 4 2 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Notes: The figure presents realized inflation, expected inflation from Consensus Forecasts’ bi-annualsurvey of longterm inflation expectations, and our estimated far-forward inflation compensation measure for Brazil. Panel A displays 12-month realized headline and core CPI and the inflation target. The tolerance interval for the inflation target is shown by the shaded area. Panel B displays the inflation target and the average of the responses from Consensus Forecasts’ surveyof inflation expectations for theforecast horizon of 6to 10 years in thefuture. Panel C displays 1-yearforward inflation compensation endingin 7 years along with the inflation target.
Figure 2: Chile: Inflation, survey measures, and forward inflation compensation A. Inflation Percent 12 10 Headline 8 6 Core Target 4 2 0 -2 -4 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 B. Medium- and Long-term Inflation Expectations Percent 6 5 Central Bank of Chile Survey 4 3 Consensus Forecasts 2 1 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 C. 1-Year Forward Inflation Compensation Ending in 10 Years Percent 6 5 4 3 2 1 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Notes: Thefigurepresentsrealizedinflation,measuresofexpectedinflationfromConsensusForecastsandtheCentral Bank of Chile surveys, and our estimated far-forward inflation compensation measure for Chile. Panel A displays 12-month realized headline and core CPI, the inflation target, and the tolerance interval around this target. Note that before 2007 the inflation target was an interval of 2 to 4 percent. Panel B displays the inflation target, the average of the responses from the Consensus Forecasts’ survey of long-term inflation expectations, and the median expectation of 12-month inflation ending 23 months in the future from the Central Bank of Chile’s monthly survey of forecasters. Panel C displays 1-year forward inflation compensation ending in 10 years along with the inflation target.
Figure 3: Mexico: Inflation, survey measures, and forward inflation compensation A. Inflation Percent 10 8 6 Headline Core 4 Target 2 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 B. Long-term Inflation Expectations Percent 6 5 Consensus Forecasts Bank of Mexico Survey 4 3 2 1 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 C. 1-Year Forward Inflation Compensation Ending in 7 Years Percent 6 5 4 3 2 1 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Notes: Thefigurepresentsrealized inflation,measures of expectedinflation from Consensus Forecasts andtheBank of Mexico surveys, and our estimated far-forward inflation compensation measure for Mexico. Panel A displays 12month realized headline and core CPI, the, inflation target, and the tolerance interval around this target. Panel B displaystheinflationtarget, theaverageoftheresponses from theConsensusForecasts surveyof long-terminflation expectations, and the average of the responses for expected inflation for the forecast horizon of 5 to 8 years in the futurefromtheBankofMexico’smonthlysurveyofanalysts’expectations. PanelCdisplays1-yearforwardinflation compensation ending in 7 yearsalong with theinflation target.
Figure 4: Brazil: Central Bank of Brazil’s Survey of Inflation Expectations A. Average percent 6.0 5.5 5.0 2017 2016 4.5 2007 2015 2009 2014 2010 2013 2008 4.0 2012 2011 3.5 2006 3.0 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 B. Median percent 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 C. Standard Deviation percent 2.5 2.0 1.5 1.0 0.5 0.0 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Notes: The figure displays the evolution of medium- to long-term inflation expectations from the Central Bank of Brazil’s weekly survey of professional forecasters between November 2001 and April 2013. Panels A and B depict themean and median of respondents’ forecasts of headline inflation (the12-month percentage change in theICPA). Participantsareaskedtoforecastinflationforthenextfewcalendaryears. Thechartplotstheforecastthatisfurthest in the future at the time of the survey. The black dots correspond to the weeks in which the inflation forecasts are rolled forward by oneyear, and at that time, theforecasts arefor 12-month inflation endingfiveyearsin thefuture. The forecast period gradually shrinks as the year progresses so that by December, the forecasts are for 12-month inflation ending four years in the future. Panel C displays the standard deviation of respondents forecasts and is constructed in an analogous manner. There are gaps in the panels because the forecast period is rolled forward at different times (although always in January) and because we discard thefirst week of each years results.
Figure 5: Zero curve estimation: outstanding bonds and longest-maturity bond A. Brazil: Number of Bonds B. Mexico: Number of Bonds 20 20 Nominal Inflation-Indexed 15 15 10 10 5 5 0 0 2006 2007 2008 2009 2010 2011 2012 2013 2003 2005 2007 2009 2011 2013 C. Brazil: Maturity of Longest-Dated Bond D. Mexico: Maturity of Longest-Dated Bond Years to Maturity Years to Maturity 20 20 15 15 10 10 5 5 0 0 2006 2007 2008 2009 2010 2011 2012 2013 2003 2005 2007 2009 2011 2013 Notes: The figure presents indicators of the number and maturity of bonds used in the construction of the nominal andrealzero-couponcurvesfrompricesonnominalandinflation-linkedsovereignbondsforBrazil(theleft-hand-side panels) and Mexico (the right-hand-side panels) using the Nelson and Siegel (1987) model. Panels A and B display thenumberofnominalandinflation-indexedbondsthat wereusedin theestimation onanygiven day(theblueand red lines, respectively). Panels C and D display the longest residual-maturity nominal and inflation-indexed bond that was used in the estimation of the zero-coupon curves. Note that in the estimation we only include bonds with residual maturities between three months and fifteen years. No indicators are shown for Chile, as we obtained zero curveestimates directly from RiskAmerica.
Figure 6: Bond price fitting errors A. Brazil: Nominal Bonds B. Mexico: Nominal Bonds Percentage points Percentage points 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.0 0.0 2006 2007 2008 2009 2010 2011 2012 2013 2003 2005 2007 2009 2011 2013 C. Brazil: Inflation-Indexed Bonds D. Mexico: Inflation-Indexed Bonds Percentage points Percentage points 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.0 0.0 2006 2007 2008 2009 2010 2011 2012 2013 2003 2005 2007 2009 2011 2013 Notes: Thefigurepresentsindicatorsofthebondpricefittingerrorwhenconstructingzero-couponcurvesfromprices ofnominalandinflation-linkedsovereignbondsforBrazil(the-left-hand-sidepanels)andMexico(theright-hand-side panels) using the Nelson and Siegel (1987) model. Panels A and B display the aggregate fitting error for prices of nominal bonds, defined as the sum of the absolute values of relative price fitting errors (with the relative price fitting error computed as [(fitted price - observed price)/fitted price], and expressed in percentage points) for all bonds with residual maturities between two and ten years. Panels C and D display the bond price fitting errors for inflation-indexedbonds. All lines shown are two-week rolling averages of daily absolute fitting errors.
Figure 7: Zero-coupon yield and inflation compensation estimates A. 1-Year Forward Nominal Rate Ending in 7 Years (Brazil and Mexico) or 10 Years (Chile) Percent 20 Brazil Chile 18 Mexico 16 14 12 10 8 6 4 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 B. 1-Year Forward Real Rate Ending in 7 Years (Brazil and Mexico) or 10 Years (Chile) Percent 10 Brazil Chile Mexico 8 6 4 2 0 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 C. 1-Year Forward Inflation Compensation Ending in 7 Years (Brazil and Mexico) or 10 Years (Chile) Percent 12 Brazil Chile 10 Mexico 8 6 4 2 0 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Notes: Thefigure presentsour daily time-series estimates of 1-yearnominal (Panel A),real (Panel B), and inflation compensation(PanelC)forwardrates,endingin7years(forBrazilandMexico)or10years(forChile). Theestimates are derived from our estimated daily nominal and real zero-coupon curves, which we fit from prices on outstanding nominal and inflation-indexedsovereign bondsusing the Nelson and Siegel (1987) model. The sample period begins on July 7, 2006 for Brazil, on October 2, 2002 for Chile, and on January 10, 2003 for Mexico, and endson April 30, 2013.
Figure 8: BRAZIL: OLS and Influence Plots per Individual Surprise 4 3 (cid:1) (cid:1) 2 (cid:1) (cid:1) 1 (cid:1)(cid:1)(cid:1) 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) −1 (cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) −2 (cid:1) 7/24/2008 (cid:1) −3 −4 0 0.05 0.1 0.15 0.2 0.25 Hat Values slaudiseR dezitnedutS Influence plot for RATE surprises for Brazil 60 50 40 (cid:1) (cid:1) 30 (cid:1) (cid:1) 20 (cid:1)(cid:1)(cid:1) − − 1 2 1 0 0 0 0 (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) −30 (cid:1) 7/24/2008 −40 (cid:1) −50 −60 −60 −40 −20 0 20 40 60 Surprise (in basis points) stnioP sisaB OLS regression for RATE surprises for Brazil surprise OLS OLS\outliers 5 4 3 (cid:1) 2 (cid:1)(cid:1)(cid:1) (cid:1) 1 (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) − 0 1 (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −2 (cid:1)(cid:1) −3 (cid:1) 12/7/2012 −4 0 0.05 0.1 0.15 0.2 Hat Values slaudiseR dezitnedutS Influence plot for CPI surprises for Brazil 60 50 (cid:1) 40 30 (cid:1) (cid:1)(cid:1) (cid:1) 20 (cid:1) − − 1 2 1 0 0 0 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −30 (cid:1) (cid:1) −40 (cid:1) 12/7/2012 −50 −60 −3.5−3−2.5−2−1.5−1−0.5 0 0.5 1 1.5 2 2.5 3 3.5 Surprise (in stdev) stnioP sisaB OLS regression for CPI surprises for Brazil surprise OLS OLS\outliers 5 4 3 (cid:1) 2 3/6/2009 (cid:1)(cid:1) − − 0 1 2 1 (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1)(cid:1)(cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) −3 −4 (cid:1)(cid:1) −5 −6 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 Hat Values slaudiseR dezitnedutS Influence plot for IP surprises for Brazil 80 60 (cid:1) 40 (cid:1)(cid:1) − 2 2 0 0 0 3/6/2009 (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) −40 (cid:1) −60 (cid:1) (cid:1) −80 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 Surprise (in stdev) stnioP sisaB OLS regression for IP surprises for Brazil surprise OLS OLS\outliers 5 4 3 (cid:1) 2 1 (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) 0 (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −1 (cid:1) (cid:1) −2 (cid:1) 3/10/2009 (cid:1) −3 −4 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 Hat Values slaudiseR dezitnedutS Influence plot for GDP surprises for Brazil 60 50 40 (cid:1) 30 20 10 (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) −10 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −20 (cid:1) −30 −40 (cid:1) −50 3/10/2009 −60 −3 −2.5 −2 −1.5 −1 −0.5 0 0.5 1 1.5 2 2.5 3 Surprise (in stdev) stnioP sisaB OLS regression for GDP surprises for Brazil surprise OLS OLS\outliers Notes: The left-hand-side panels show influence plots when regressing far-forward inflation compensation on individual macro surprises for Brazil for the full sample period July 2006 - April 2013. Hat-values are shown on the horizontalaxis, studentizedresidualson theverticalaxis, andtheradiusof eachcircle isproportional totherelative size of observations’ Cook’s distance. The horizontal dashed lines are +/- 2 critical values for studentized residuals, while the vertical dashed line is the critical value for the hat value, set at 4/N with N the number of observations in the single regression. Observations labeled with their release date are marked as outliers. The right-hand side panels show the scatterplot of far-forward inflation compensation vs. surprises, and the single-regression lines using all observations (thesolid black lines) and without outliers (thedashed bluelines).
Figure 9: CHILE: OLS and Influence Plots per Individual Surprise 4 3 − − 0 1 2 2 1 (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) −3 12/11/2003 −4 −5 0 0.1 0.2 0.3 0.4 0.5 Hat Values slaudiseR dezitnedutS Influence plot for RATE surprises for Chile 50 40 30 20 − − 1 2 1 0 0 0 0 (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −30 12/11/2003 −40 −50 −150 −100 −50 0 50 100 150 Surprise (in basis points) stnioP sisaB OLS regression for RATE surprises for Chile surprise OLS OLS\outliers 4 3 1/6/2009 2 (cid:1) (cid:1) − 0 1 1 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) −2 (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) −3 (cid:1) −4 0 0.02 0.04 0.06 0.08 0.1 0.12 Hat Values slaudiseR dezitnedutS Influence plot for CPI surprises for Chile 50 40 30 20 1/6/2009 (cid:1) (cid:1) (cid:1) (cid:1) − 1 1 0 0 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) − − 3 2 0 0 (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −40 (cid:1) −50 −2.5 −2 −1.5 −1 −0.5 0 0.5 1 1.5 2 2.5 Surprise (in stdev) stnioP sisaB OLS regression for CPI surprises for Chile surprise OLS OLS\outliers 4 3 2 (cid:1)(cid:1)(cid:1) (cid:1)(cid:1) − 0 1 1 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −2 (cid:1) (cid:1) −3 (cid:1)(cid:1) 9/7/2007 −4 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 Hat Values slaudiseR dezitnedutS Influence plot for TRADE surprises for Chile 50 40 30 20 (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) − − 1 2 1 0 0 0 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −30 9/7/2007 (cid:1) (cid:1)(cid:1) −40 −50 −3.5−3−2.5−2−1.5−1−0.5 0 0.5 1 1.5 2 2.5 3 3.5 Surprise (in stdev) stnioP sisaB OLS regression for TRADE surprises for Chile surprise OLS OLS\outliers 6 5 (cid:1) 4 3 2 (cid:1) − − 0 1 2 1 (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) 11/27/2003 −3 −4 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 Hat Values slaudiseR dezitnedutS Influence plot for UNEMPLRATE surprises for Chile 60 50 (cid:1) 40 30 (cid:1) − − 1 2 2 1 0 0 0 0 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) −30 11/27/20(cid:1)03 −40 −50 −60 −3.5−3−2.5−2−1.5−1−0.5 0 0.5 1 1.5 2 2.5 3 3.5 Surprise (in stdev) stnioP sisaB OLS regression for UNEMPLRATE surprises for Chile surprise OLS OLS\outliers Notes: The left-hand-side panels show influence plots for the regression of far-forward inflation compensation on individual macro surprises for Chile for the full sample period October 2002 - April 2013. See the notes to Figure 8 for further details.
Figure 10: MEXICO: OLS and Influence Plots per Individual Surprise 5 4 3 5/7/2010 2 (cid:1) (cid:1) (cid:1) − − 0 1 2 1 (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) −3 −4 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 Hat Values slaudiseR dezitnedutS Influence plot for CPI surprises for Mexico 30 20 5/7/2010 (cid:1) (cid:1) (cid:1) − 1 1 0 0 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) −20 −30 −3.5−3−2.5−2−1.5−1−0.5 0 0.5 1 1.5 2 2.5 3 3.5 Surprise (in stdev) stnioP sisaB OLS regression for CPI surprises for Mexico surprise OLS OLS\outliers 4 3 8/3/2011 2 (cid:1) (cid:1) (cid:1) (cid:1) 1 − 0 1 (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −2 (cid:1) (cid:1) −3 (cid:1) −4 0 0.05 0.1 0.15 Hat Values slaudiseR dezitnedutS Influence plot for PMI surprises for Mexico 30 20 8/3/2011 10 (cid:1) (cid:1) (cid:1) −10 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −20 (cid:1) −30 −2.5 −2 −1.5 −1 −0.5 0 0.5 1 1.5 2 2.5 Surprise (in stdev) stnioP sisaB OLS regression for PMI surprises for Mexico surprise OLS OLS\outliers 6 (cid:1) 4 (cid:1) − 0 2 2 (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1)(cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) 5/ (cid:1) 2 (cid:1) (cid:1) 6 (cid:1) /2 (cid:1) 0 (cid:1) 03 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −4 0 0.02 0.04 0.06 0.08 0.1 0.12 Hat Values slaudiseR dezitnedutS Influence plot for RETAIL surprises for Mexico 70 60 (cid:1) 50 40 30 (cid:1) − − − 1 2 3 2 1 0 0 0 0 0 0 (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) 5/ (cid:1) 2 (cid:1) 6 (cid:1) /2003 (cid:1) −40 (cid:1) −50 −60 −70 −3 −2.5 −2 −1.5 −1 −0.5 0 0.5 1 1.5 2 2.5 3 Surprise (in stdev) stnioP sisaB OLS regression for RETAIL surprises for Mexico surprise OLS OLS\outliers 4 3 (cid:1) 2 (cid:1) (cid:1) − 0 1 1 (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) −2 (cid:1) (cid:1) (cid:1) (cid:1) −3 8/16/2005 −4 −5 0 0.05 0.1 0.15 0.2 Hat Values slaudiseR dezitnedutS Influence plot for GDP surprises for Mexico 40 30 20 (cid:1) 10 (cid:1) (cid:1) 0 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1)(cid:1)(cid:1) (cid:1) (cid:1) −10 (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) −20 8/16/2005 −30 −40 −3 −2.5 −2 −1.5 −1 −0.5 0 0.5 1 1.5 2 2.5 3 Surprise (in stdev) stnioP sisaB OLS regression for GDP surprises for Mexico surprise OLS OLS\outliers Notes: The left-hand-side panels show influence plots for the regression of far-forward inflation compensation on individual macro surprises for Mexico for the full sample period January 2003 - April 2013. See the notes to Figure 8 for further details.
Appendix A: Sensitivity Analysis In this Appendix we briefly discuss the results of several alternative specifications of our baseline regressions to assess the robustness of our results. Tables A.1 - A.3 show results for five alternative specifications: (i) including the outliers that we identified in Section 4.3, (ii) including the fourth quarter of 2008 in the sample, (iii) includingall days in theregressions instead of justthosedays on which at least one macro figure is released, (iv) dropping the annual dummy from the regression, (v) incorporating the daily change in the 3-month local Treasury Bill rate instead of incorporating surprises in the policy rate directly, as some authors have argued that the one-day change in the treasury bill rates are a better measure of monetary policy surprises, and (vi) including the control variables that we discussed in Section 4.2. In the first column of each table, we repeat our baseline results (in bold) for far-forward inflation compensation from Tables 1 - 3. Thesecondcolumnshowsthatincludingoutliersdoesnotmateriallychangeourbaselineresults, withtheexceptionofBrazilforwhichincludingtheoutliersmakesthecoefficientonIPinsignificant, whilemakingthecoefficient on GDP significant, as discussedin Section 4.3. Furthermore, thethird column in Table A.1 shows the impact of including the fourth quarter of 2008 for Brazil, which makes the Wald test statistic much higher, now easily rejecting the null hypothesis that macro surprises do not significantly affect inflation compensation. The reason behind this is that because of the additional variation in inflation compensation during the fourth quarter of 2008, the earlieridentifiedGDP outlier ofMarch 10, 2009 isnow nolongerdeemedanoutlier, whichmakes theGDP coefficient highly significant, and the Wald statistic high. The fourth column in each table shows that whether we include just days with announcements or all days in the sample, with the latter choice introducing a lot of zero observations, makes very little difference for the results. Dropping the yearly dummy, using policy rate surprises based on daily changes in treasury bill rates, and including various control variables also does not change the baseline results. Overall, ourbaselineresultsprovetobeveryrobustagainst each ofthealternatives weconsider, with joint Wald statistics and coefficients on individual news surprises that are little changed. Appendix B: Rolling Regression Results In this section we present subsample analysis results using 5-year rolling regression windows to analyze parameter stability and to assess the effect of the financial crisis on the anchoring of inflation expectations in Brazil, Chile, and Mexico in somewhat more detail. Figure B.1 present results of this analysis. The left-hand-side panels in this figure present the Wald statistic and its p-value from estimating equation (3) in the main text using 5-year rolling windows, the blue and red lines, respectively, while the red lines in the right-hand-side panels show the t-statistics of the domestic news surprise that was ”most significant” in our baseline results for each individual country: IP for Brazil and CPI for Chile and Mexico. For Chile, most of the 5-year samples have a p-value below 10% and the rejection of the null for the full sample seems to be driven therefore by the consistently significant response of inflation compensationtonewssurprisesthroughoutmostofthesample. Ofnote,however,fortheestimation samples ending in the most recent two years, the Wald statistic and the t-statistic of CPI have fallen substantially. For Mexico, the null hypothesis that news surprises do not systematically affect inflation compensation, lies well above 5% for all subsamples, and Mexican CPI surprises are never significant at the 5% level. For Brazil, the rolling regressions results are harder to interpret. Brazil’s first 5-year rolling sample ends in 2011 and for most of the samples, the Wald test rejects the null of inflation com-
pensation not being affected by news, which is different from our baselines results for Brazil. Upon closer inspection, however, it follows that the March 10, 2009 GDP outlier that we identified in the main text is never taken out for any of the rolling windows. This greatly affects the Wald statistic. Similarly, the March 6, 2009 IP outlier is not identified as such between April 2012 and March 2013. Furthermore, the rolling regressions include the fourth quarter of 2008 and, as shown in AppendixA, inflation compensation does react significantly to news surprises if this volatile period is included. Overall therefore, it is difficult to derive clear conclusions from the rolling regression results for Brazil. Finally, the blue lines in the right-hand-side panels show the t-statistic of U.S. nonfarm payrolls when we include U.S. surprises to our baseline regressions. The significance of nonfarm payroll surprises in the full-sample results for Chile and Mexico seems to be primarily due to their impact inearliersamples,althoughforChileU.S.payrollsurprisesweresignificantin2011andhavebecome significant again since the beginning of 2013.
Table A.1: BRAZIL: Alternative Specifications (Full Sample: Jul-2006 - Apr-2013) basic with with with without with with variable model outliers Q4 2008 all obs. yearly TBill controls dummy rate Macro News Surprises POLICY RATE 0.13∗∗∗ 0.06∗∗∗ 0.06∗∗∗ 0.14∗∗∗ 0.12∗∗∗ - 0.14∗∗∗ (0.84)∗∗∗ (0.37)∗∗∗ (0.30)∗∗∗ (0.88)∗∗∗ (0.77)∗∗∗ - (0.87)∗∗∗ 3-MONTH TBILL - - - - -0.20∗∗∗ - - - - - (-0.98)∗∗∗ - CPI 2.12∗∗∗ 1.15∗∗∗ 2.22∗∗∗ 2.08∗∗∗ 2.13∗∗∗ 2.12∗∗∗ 2.00∗∗∗ (1.08)∗∗∗ (0.59)∗∗∗ (0.97)∗∗∗ (1.09)∗∗∗ (1.09)∗∗∗ (1.08)∗∗∗ (1.04)∗∗∗ IP 4.84∗∗∗ 1.25∗∗∗ 7.13∗∗∗ 4.96∗∗∗ 4.74∗∗∗ 4.78∗∗∗ 4.70∗∗∗ (2.13)∗∗∗ (0.69)∗∗∗ (2.73)∗∗∗ (2.25)∗∗∗ (2.08)∗∗∗ (2.10)∗∗∗ (2.09)∗∗∗ PMI - - - - - - - - - - - - RETAIL SALES 2.17∗∗∗ 2.24∗∗∗ 2.49∗∗∗ 2.11∗∗∗ 2.20∗∗∗ 2.18∗∗∗ 2.37∗∗∗ (1.20)∗∗∗ (1.22)∗∗∗ (1.18)∗∗∗ (1.20)∗∗∗ (1.21)∗∗∗ (1.21)∗∗∗ (1.32)∗∗∗ TRADE BALANCE 3.25∗∗∗ 3.04∗∗∗ 1.92∗∗∗ 1.96∗∗∗ 1.19∗∗∗ 3.01∗∗∗ 1.72∗∗∗ (1.53)∗∗∗ (1.41)∗∗∗ (0.77)∗∗∗ (1.07)∗∗∗ (0.65)∗∗∗ (1.42)∗∗∗ (0.81)∗∗∗ GDP 3.19∗∗∗ 7.34∗∗∗ 10.12∗∗∗ 3.35∗∗∗ 3.40∗∗∗ 3.51∗∗∗ 3.63∗∗∗ (0.79)∗∗∗ (2.20)∗∗∗ (2.68)∗∗∗ (0.85)∗∗∗ (0.84)∗∗∗ (0.87)∗∗∗ (0.92)∗∗∗ UNEMPL. RATE -1.17∗∗∗ -1.33∗∗∗ -0.48∗∗∗ -1.06∗∗∗ -1.22∗∗∗ -1.26∗∗∗ -1.04∗∗∗ (-0.65)∗∗∗ (-0.73)∗∗∗ (-0.23)∗∗∗ (-0.61)∗∗∗ (-0.68)∗∗∗ (-0.71)∗∗∗ (-0.59)∗∗∗ Controls OIL FUTURES - - - - - - -0.14∗∗∗ - - - - - - (-0.25)∗∗∗ FOOD FUTURES - - - - - - -0.09∗∗∗ - - - - - - (-0.14)∗∗∗ VIX - - - - - - 0.43∗∗∗ - - - - - - (0.77)∗∗∗ Number of obs. 424∗∗∗ 428∗∗∗ 443∗∗∗ 1706∗∗∗ 424∗∗∗ 425∗∗∗ 420∗∗∗ R 2 3%∗∗∗ 3%∗∗∗ 4%∗∗∗ 1%∗∗∗ 2%∗∗∗ 3%∗∗∗ 3%∗∗∗ adj.R 2 1%∗∗∗ 1%∗∗∗ 2%∗∗∗ 0%∗∗∗ 1%∗∗∗ 1%∗∗∗ 1%∗∗∗ Wald-statistic 11.17∗∗∗ 10.01∗∗∗ 17.84∗∗∗ 10.58∗∗∗ 9.14∗∗∗ 11.47∗∗∗ 9.62∗∗∗ (p-value) (0.13)∗∗∗ (0.19)∗∗∗ (0.01)∗∗∗ (0.16)∗∗∗ (0.24)∗∗∗ (0.12)∗∗∗ (0.21)∗∗∗ Notes: The table shows regression results for the full sample period July 2006 - April 2013 for Brazil, for our benchmark model (first column) as well as for a number of alternative specifications (the remaining columns); (i) without correcting for outliers (the only column in the table where outliers are included are the regression), (ii) including observations from the fourth quarter of 2008, (iii) including all observations during our sample period (thus including days on which no Brazilian macroeconomicfiguresarereleased),(iv)withoutincludingthedummythattakesonthevalueofoneonthefirstbusinessday oftheyear,(v)includingthedaily changeinthe3-monthlocal Treasury Billinstead of thestandardized surprisecomponent of the policy rate, and (vi) including the 12-month oil futures, 3-month food futures and the VIX as control variables in the regression. Oilandfood futuresarerecordedasthechangefrom thedaybefore, inbasispoints,while theVIXisrecordedas thechange from the day before in percentage points. Seethe notes to Table 1 in the main text for further details.
Table A.2: CHILE: Alternative Specifications (Full Sample: Oct-2002 - Apr-2013) basic with with with without with with variable model outliers Q4 2008 all obs. yearly TBill controls dummy rate Macro News Surprises POLICY RATE -0.04∗∗∗ 0.00∗∗∗ -0.04∗∗∗ -0.04∗∗∗ -0.04∗∗∗ - -0.04∗∗∗ (-0.71)∗∗∗ (0.03)∗∗∗ (-0.72)∗∗∗ (-0.72)∗∗∗ (-0.83)∗∗∗ - (-0.81)∗∗∗ 3-MONTH TBILL - - - - -0.16∗∗∗ - - - - - (-1.24)∗∗∗ - CPI 3.94∗∗∗ 3.12∗∗∗ 3.76∗∗∗ 4.12∗∗∗ 4.12∗∗∗ 3.89∗∗∗ 4.03∗∗∗ (3.31)∗∗∗ (2.65)∗∗∗ (3.22)∗∗∗ (3.30)∗∗∗ (3.49)∗∗∗ (3.25)∗∗∗ (3.38)∗∗∗ IP -1.13∗∗∗ -1.15∗∗∗ -1.00∗∗∗ -1.01∗∗∗ -1.11∗∗∗ -1.15∗∗∗ -1.20∗∗∗ (-1.09)∗∗∗ (-1.08)∗∗∗ (-0.97)∗∗∗ (-0.92)∗∗∗ (-1.07)∗∗∗ (-1.10)∗∗∗ (-1.15)∗∗∗ PMI - - - - - - - - - - - - RETAIL SALES 1.42∗∗∗ 1.50∗∗∗ 1.52∗∗∗ 1.31∗∗∗ 1.40∗∗∗ 1.43∗∗∗ 1.31∗∗∗ (0.67)∗∗∗ (0.69)∗∗∗ (0.72)∗∗∗ (0.59)∗∗∗ (0.66)∗∗∗ (0.67)∗∗∗ (0.62)∗∗∗ TRADE BALANCE -1.85∗∗∗ -1.26∗∗∗ -1.96∗∗∗ -1.61∗∗∗ -1.61∗∗∗ -1.90∗∗∗ -1.88∗∗∗ (-1.71)∗∗∗ (-1.16)∗∗∗ (-1.89)∗∗∗ (-1.43)∗∗∗ (-1.52)∗∗∗ (-1.75)∗∗∗ (-1.74)∗∗∗ GDP 3.04∗∗∗ 3.05∗∗∗ 2.94∗∗∗ 2.97∗∗∗ 3.02∗∗∗ 3.07∗∗∗ 3.05∗∗∗ (1.71)∗∗∗ (1.67)∗∗∗ (1.65)∗∗∗ (1.58)∗∗∗ (1.70)∗∗∗ (1.72)∗∗∗ (1.70)∗∗∗ UNEMPL. RATE 1.12∗∗∗ 1.48∗∗∗ 1.45∗∗∗ 1.18∗∗∗ 1.13∗∗∗ 1.11∗∗∗ 1.10∗∗∗ (1.15)∗∗∗ (1.50)∗∗∗ (1.54)∗∗∗ (1.15)∗∗∗ (1.16)∗∗∗ (1.13)∗∗∗ (1.13)∗∗∗ Controls OIL FUTURES - - - - - -0.06∗∗∗ - - - - - (-0.19)∗∗∗ FOOD FUTURES - - - - - 0.19∗∗∗ - - - - - (0.46)∗∗∗ VIX - - - - - 0.24∗∗∗ - - - - - (0.75)∗∗∗ Number of obs. 481∗∗∗ 485∗∗∗ 495∗∗∗ 2690∗∗∗ 481∗∗∗ 481∗∗∗ 480∗∗∗ R 2 5%∗∗∗ 4%∗∗∗ 5%∗∗∗ 1%∗∗∗ 4%∗∗∗ 5%∗∗∗ 5%∗∗∗ adj.R 2 3%∗∗∗ 2%∗∗∗ 3%∗∗∗ 0%∗∗∗ 3%∗∗∗ 3%∗∗∗ 3%∗∗∗ Wald-statistic 20.45∗∗∗ 15.15∗∗∗ 21.22∗∗∗ 18.42∗∗∗ 20.89∗∗∗ 21.27∗∗∗ 21.04∗∗∗ (p-value) (0.01)∗∗∗ (0.03)∗∗∗ (0.00)∗∗∗ (0.01)∗∗∗ (0.00)∗∗∗ (0.00)∗∗∗ (0.00)∗∗∗ Notes: Thetableshowsregressionresultsforthebaselinemodelaswellasseveralalternativespecificationsforthefullsample period October 2002 - April 2013 for Chile. Seethenotes to Table A.1and to Table 1 in the main text for further details.
Table A.3: MEXICO: Alternative Specifications (Full Sample: Jan-2003 - Apr-2013) basic with with with without with with variable model outliers Q4 2008 all obs. yearly TBill controls dummy rate Macro News Surprises POLICY RATE -0.16∗∗∗ -0.15∗∗∗ -0.16∗∗∗ -0.15∗∗∗ -0.16∗∗∗ - -0.16∗∗∗ (-1.48)∗∗∗ (-1.46)∗∗∗ (-1.48)∗∗∗ (-1.36)∗∗∗ (-1.48)∗∗∗ - (-1.59)∗∗∗ 3-MONTH TBILL - - - - -0.07∗∗∗ - - - - - (-0.34)∗∗∗ - CPI 2.03∗∗∗ 1.49∗∗∗ 1.94∗∗∗ 2.03∗∗∗ 1.98∗∗∗ 2.01∗∗∗ 1.99∗∗∗ (1.94)∗∗∗ (1.46)∗∗∗ (1.85)∗∗∗ (1.82)∗∗∗ (1.90)∗∗∗ (1.95)∗∗∗ (2.02)∗∗∗ IP 1.59∗∗∗ 1.60∗∗∗ 1.60∗∗∗ 1.65∗∗∗ 1.59∗∗∗ 1.54∗∗∗ 1.73∗∗∗ (1.74)∗∗∗ (1.73)∗∗∗ (1.75)∗∗∗ (1.69)∗∗∗ (1.74)∗∗∗ (1.71)∗∗∗ (1.98)∗∗∗ PMI -1.15∗∗∗ -1.89∗∗∗ -1.14∗∗∗ -1.24∗∗∗ -1.19∗∗∗ -1.13∗∗∗ -1.09∗∗∗ (-0.68)∗∗∗ (-1.17)∗∗∗ (-0.67)∗∗∗ (-0.69)∗∗∗ (-0.71)∗∗∗ (-0.68)∗∗∗ (-0.69)∗∗∗ RETAIL SALES -0.28∗∗∗ 0.08∗∗∗ 0.55∗∗∗ -0.24∗∗∗ -0.27∗∗∗ -0.30∗∗∗ -0.03∗∗∗ (-0.29)∗∗∗ (0.09)∗∗∗ (0.60)∗∗∗ (-0.24)∗∗∗ (-0.29)∗∗∗ (-0.32)∗∗∗ (-0.03)∗∗∗ TRADE BALANCE -0.60∗∗∗ -0.60∗∗∗ -0.28∗∗∗ -0.63∗∗∗ -0.60∗∗∗ -0.58∗∗∗ -0.59∗∗∗ (-0.63)∗∗∗ (-0.63)∗∗∗ (-0.30)∗∗∗ (-0.62)∗∗∗ (-0.64)∗∗∗ (-0.62)∗∗∗ (-0.67)∗∗∗ GDP -1.68∗∗∗ -0.03∗∗∗ -2.11∗∗∗ -1.65∗∗∗ -1.68∗∗∗ -1.67∗∗∗ -1.84∗∗∗ (-0.93)∗∗∗ (-0.02)∗∗∗ (-1.18)∗∗∗ (-0.85)∗∗∗ (-0.93)∗∗∗ (-0.94)∗∗∗ (-1.08)∗∗∗ UNEMPL. RATE -0.58∗∗∗ -0.58∗∗∗ -0.37∗∗∗ -0.60∗∗∗ -0.58∗∗∗ -0.54∗∗∗ -0.77∗∗∗ (-0.62)∗∗∗ (-0.62)∗∗∗ (-0.40)∗∗∗ (-0.61)∗∗∗ (-0.62)∗∗∗ (-0.59)∗∗∗ (-0.88)∗∗∗ Controls OIL FUTURES - - - - - -0.15∗∗∗ - - - - - (-0.57)∗∗∗ FOOD FUTURES - - - - - 0.06∗∗∗ - - - - - (0.20)∗∗∗ VIX - - - - - 0.37∗∗∗ - - - - - (1.47)∗∗∗ Number of obs. 678∗∗∗ 682∗∗∗ 696∗∗∗ 2618∗∗∗ 678∗∗∗ 677∗∗∗ 671∗∗∗ R 2 2%∗∗∗ 1%∗∗∗ 2%∗∗∗ 0%∗∗∗ 2%∗∗∗ 1%∗∗∗ 2%∗∗∗ adj.R 2 0%∗∗∗ 0%∗∗∗ 0%∗∗∗ 0%∗∗∗ 0%∗∗∗ 0%∗∗∗ 1%∗∗∗ Wald-statistic 10.98∗∗∗ 9.23∗∗∗ 10.85∗∗∗ 9.86∗∗∗ 10.82∗∗∗ 8.94∗∗∗ 13.15∗∗∗ (p-value) (0.20)∗∗∗ (0.32)∗∗∗ (0.21)∗∗∗ (0.28)∗∗∗ (0.21)∗∗∗ (0.35)∗∗∗ (0.11)∗∗∗ Notes: Thetableshowsregressionresultsforthebaselinemodelaswellasseveralalternativespecificationsforthefullsample period January 2003 - April2013 for Mexico. Seethenotes to Table A.1 and to Table 1 in the main text for further details.
Figure B.1: Baseline Model: Rolling Regression Results For Far-Forward Inflation Compensation A. Brazil: Joint Wald Test B. Brazil: t-statistics Test statistic p-value t-stat 16 0.5 3.0 Test statistic (left axis) US non-farm payrolls 14 p-value (right axis) Brazil gross domestic 0.4 product 2.5 12 2.0 10 0.3 8 1.5 6 0.2 1.0 4 0.1 0.5 2 0.05 0 0.0 0.0 2008 2009 2010 2011 2012 2013 2008 2009 2010 2011 2012 2013 C. Chile: Joint Wald Test D. Chile: t-statistics Test statistic p-value t-stat 30 1.0 4.0 US non-farm payrolls 0.9 Chile consumer price index 3.5 25 0.8 3.0 0.7 20 0.6 2.5 15 0.5 2.0 0.4 1.5 10 0.3 1.0 0.2 5 0.1 0.5 0.05 0 0.0 0.0 2008 2009 2010 2011 2012 2013 2008 2009 2010 2011 2012 2013 E. Mexico: Joint Wald Test F. Mexico: t-statistics Test statistic p-value t-stat 12 1.0 4.0 0.9 US non-farm payrolls 3.5 Mexico industrial production 10 0.8 3.0 0.7 2.5 8 2.0 0.6 1.5 6 0.5 1.0 0.4 0.5 4 0.3 0.0 2 0.2 -0.5 0.1 -1.0 0.05 0 0.0 -1.5 2008 2009 2010 2011 2012 2013 2008 2009 2010 2011 2012 2013 Notes: Thefigurepresents results from our baseline model estimated using rolling regression windows with a length of fivecalendar years. Reported in theleft-hand-sidepanels are theWald test statistic and corresponding p-valueof testingthenullhypothesisthatallregression coefficients(withtheexceptionoftheconstantandtheyearlydummy) areequaltozero. Reportedintheright-hand-sidepanelsarethet-statisticforthedomesticnewssurprisethatcame in ”most significant” in the full-sample baseline regression for each country as reported in Tables 1 - 3 in the main text (IP for Brazil and CPI for Chile and Mexico) and for U.S. nonfarm payroll surprises (from the baseline model with U.S. surprises). The dotted lines in the left-hand-side and right-hand-side panels indicate the 5% significance threshold for p-valuesand t-statistics, respectively.
Cite this document
Michiel De Pooter, Patrice Robitaille, Ian Walker, & and Michael Zdinak (2014). Are Long-Term Inflation Expectations Well Anchored in Brazil, Chile and Mexico? (IFDP 2014-1098). Board of Governors of the Federal Reserve System, International Finance Discussion Papers. https://whenthefedspeaks.com/doc/ifdp_2014-1098
@techreport{wtfs_ifdp_2014_1098,
author = {Michiel De Pooter and Patrice Robitaille and Ian Walker and and Michael Zdinak},
title = {Are Long-Term Inflation Expectations Well Anchored in Brazil, Chile and Mexico?},
type = {International Finance Discussion Papers},
number = {2014-1098},
institution = {Board of Governors of the Federal Reserve System},
year = {2014},
url = {https://whenthefedspeaks.com/doc/ifdp_2014-1098},
abstract = {In this paper, we consider whether long-term inflation expectations have become better anchored in Brazil, Chile, and Mexico. We do so using survey-based measures as well as financial market-based measures of long-term inflation expectations, where we construct the market-based measures from daily prices on nominal and inflation-linked bonds. This paper is the first to examine the evidence from Brazil and Mexico, making use of the fact that markets for longterm government debt have become better developed over the past decade. We find that inflation expectations have become much better anchored over the past decade in all three countries, as a testament to the improved credibility of the central banks in these countries when it comes to keeping inflation low. That said, one-year inflation compensation in the far future displays some sensitivity to at least one macroeconomic data release per country. However, the impact of these releases is small and it does not appear that investors systematically alter their expectations for inflation as a result of surprises in monetary policy, consumer prices, or real activity variables. Finally, long-run inflation expectations in Brazil appear to have been less well anchored than in Chile and Mexico.},
}