sticky prices and monetary policy evidence from disaggregated us data this paper disentangles fluctuations in disaggregated prices due to macroeconomic and sectoral conditions using a factor augmented vector autoregression estimated on a large data set on the basis of this estimation we establish eight facts 1 macroeconomic shocks explain only about 15 of sectoral inflation fluctuations 2 the persistence of sectoral inflation is driven by macroeconomic factors 3 while disaggregated prices respond quickly to sector specific shocks their responses to aggregate shocks are small on impact and larger thereafter 4 most prices respond with a significant delay to identified monetary policy shocks and show little evidence of a price puzzle contrary to existing studies based on traditional vars 5 categories in which consumer prices fall the most following a monetary policy shock tend to be those in which quantities consumed fall the least 6 the observed dispersion in the reaction of producer prices is relatively well explained by the degree of market power 7 prices in sectors with volatile idiosyncratic shocks react rapidly to aggregate monetary policy shocks 8 the sector specific components of prices and quantities move in opposite directions

empirical evidence on inflation expectations in the new keynesian phillips curve abstract we review the main identification strategies and empirical evidence on the role of expectations in the new keynesian phillips curve paying particular attention to the issue of weak identi

the phillips curve under state dependent pricing abstract we derive a phillips curve equation from the dynamic stochastic general equilibrium dsge model with state dependent pricing developed by dotsey et al 1999 state dependent pricing and the general equilibrium dynamics of money and output quarterly journal of economics 114 655 690 this state dependent phillips curve encompasses the new keynesian phillips curve nkpc based on calvo type price setting as a special case we analyze the effect of the state dependent terms that is the variations in the distributions of price vintages on inflation persistence and we examine whether the hybrid nkpc that is the nkpc extended by a lagged inflation term can adequately describe inflation dynamics generated in a calibrated state dependent pricing economy

is the forward bias economically small evidence from european rates abstract for the purpose of testing uncovered interest parity uip rates of european currencies against the mark offer a distinct advantage the admissible band of the exchange rate mechanism erm induces statistically significant mean reversion in weekly rates thus unlike for freely floating rates there is an expectation signal that has non trivial variation and is sufficiently traceable for research purposes when running the standard regression tests of the unbiased expectations hypothesis at the one week horizon we nevertheless obtain essentially zero coefficients for intra ems exchange rates and the familiar negative coefficients for extra ems rates even more puzzlingly lagged exchange rate changes remain significant when added to the regression a feature that seems hard to explain as a missing variable effect the deviation from uip is significant not just statistically but also economically trading rule tests reveal that for sufficiently large filters the average profit per trade exceeds transaction costs and that cumulative gains can be quite impressive the size of the profits and the patterns from buy versus sell decisions also allow us to reject the hypotheses of either a risk premium or peso issues about realignments as sufficient explanations

simple versus optimal rules as guides to policy this paper compares the performance of different policy rules our comparisons focus on simple feedback rules versus rules which are optimal given knowledge of the correct economic structure and the appropriate loss function for the policymaker first we compare rule performance when the correct model is not known second we compare rule performance with respect to the frequency specific behavior for variables of interest taken as a whole our results indicate how the case for a model specific optimal rule can break down when one relaxes the assumption that the true model is known as well as the assumption that the appropriate loss function is known links are made to the literature on monetary policy

indivisible labor and the business cycle abstract a growth model with shocks to technology is studied labor is indivisible so all variability in hours worked is due to fluctuations in the number employed we find that unlike previous equilibrium models of the business cycle this economy displays large fluctuations in hours worked and relatively small fluctuations in productivity this finding is independent of individuals willingness to substitute leisure across time this and other findings are the result of studying and comparing summary statistics describing this economy an economy with divisible labor and post war u s time series

endogenous business cycle propagation and the persistence problem the role of labor market frictions contrasting sharply with a recent trend in dsge modeling we propose a business cycle model where frictions and shocks are chosen with parsimony the model emphasizes a few labor market frictions and shocks to monetary policy and technology the model estimated from u s quarterly postwar data accounts well for important differences in the serial correlation of the growth rates of aggregate quantities the size of aggregate fluctuations and key comovements including the correlation between hours and labor productivity despite its simplicity the model offers an answer to the persistence problem chari et al 2000 that does not rely on multiple frictions and adjustment lags or ad hoc backward looking components we conclude modern dsge models need not embed large batteries of frictions and shocks to account for the salient features of postwar business cycles

autoregression based estimation of the new keynesian phillips curve abstract we propose an estimation method of the new keynesian phillips curve nkpc based on a univariate noncausal autoregressive model for the inflation rate by construction our approach avoids a number of problems related to the gmm estimation of the nkpc we estimate the hybrid nkpc with quarterly u s data 1955 1 2010 3 and both expected future inflation and lagged inflation are found important in determining the inflation rate with the former clearly dominating moreover inflation persistence turns out to be intrinsic rather than inherited from a persistent driving process

straight time and overtime in equilibrium abstract we formulate an equilibrium model of straight time and overtime wages by imposing restrictions on agents consumption sets and using a commodity space that includes employment lotteries we extract some time series implications from a linear quadratic approximation to our model evaluated at particular parameter values we use our model informally to interpret some features of observed time series for wages and employment

customer markets and the welfare effects of monetary policy a customer market model in which firms and customers form long term relations is developed and integrated into the canonical new keynesian framework this leads to two important differences compared to the standard model first the purely forward looking phillips curve is replaced by a hybrid variant where current inflation also depends on past inflation second the welfare cost of inflation is much lower which leads to an optimal monetary policy where relatively more weight is put on output gap stabilization than previously found in the literature

estimating a new keynesian phillips curve with a corrected measure of real marginal cost evidence in japan we estimate a new keynesian phillips curve nkpc in japan focusing on the measurement of real marginal cost rmc especially we correct labor share by taking account of two kinds of labor market frictions i labor adjustment costs and ii real wage rigidity our results show that the consideration of these labor market frictions greatly improves the fit of japan s nkpc furthermore if we additionally incorporate materials prices in the calculation of rmc then the fit of the nkpc is further improved our most important finding is that the conventional backward looking component is no more needed to explain japan s inflation dynamics if we use a corrected measure of rmc

has euro area inflation persistence changed over time this paper analyzes the stability over time of the econometric process for euro area inflation since 1970 focusing in particular on the behavior of the so called persistence parameter the sum of the coefficients on the lagged dependent variables perhaps surprisingly in light of the lucas critique our principal finding is that there appears to be relatively little instability in the parameters of the euro area inflation process full sample estimates of the persistence parameter are generally close to 1 and we fail to reject the hypothesis that this parameter has been stable over time we discuss how these results provide some indirect evidence against rational expectations models with strong forward looking elements such as the new keynesian phillips curve

optimal price setting and inflation inertia in a rational expectations model abstract this paper presents and estimates a new keynesian monetary model for the us economy it proposes possible solutions to two problems in this model class the lack of inflation inertia and persistence in versions of these models that insist on rigorous microfoundations and rational expectations and the small contribution of technology shocks to business cycles price setting takes the form of optimal two part pricing policies formulated under conditions of upward sloping firm specific marginal cost curves furthermore this form of price setting applies not only to prices and wages but also to user costs of capital in this setting past inflation becomes a key determinant of current inflation even though price setting is entirely forward looking technology is modeled as a random walk with technology growth shocks that follow a highly persistent process the model is estimated by bayesian methods and performs significantly better than a bayesian var it generates inertial and persistent inflation and technology shocks account for a large share of business cycle variation

trend inflation indexation and inflation persistence in the new keynesian phillips curve purely forward looking versions of the new keynesian phillips curve nkpc generate too little inflation persistence some authors add ad hoc backward looking terms to address this shortcoming we hypothesize that inflation per sistence results mainly from variation in the long run trend component of inflation which we attribute to shifts in monetary policy we derive a version of the nkpc that incorporates a time varying inflation trend and examine whether it explains the dynamics of inflation when drift in trend inflation is taken into account a purely forward looking version of the model fits the data well and there is no need for backward looking components jel e12 e31 e52 in this paper we consider the extent to which guillermo calvo s 1983 model of nominal price rigidities can explain inflation dynamics without relying on arbitrary backward looking terms in its baseline formulation the calvo model leads to a purely forward looking new keynesian

explorations into factors explaining money market returns in this article we measure and interpret the common factors that describe money market returns results are presented for both three and four factor models we find that the three factor model explains on average 86 percent of the total variation in most money market returns while the four factor model explains on average 90 percent of this variation using mimicking portfolios we provide an interpretation of the systematic risks represented by these factors in this article we attempt to measure and interpret the common factors that describe money market returns the factor approach we employ assumes that the covariance matrix of a set of random variables in this case excess returns can be decomposed into common or systematic components and idiosyncratic or nonsystematic components this decomposition into systematic and nonsystematic components is based on an assumption of a linear relationship between the returns of each security and a set of common factors this is the assumption of linear return generating models which form an integral part of the structure of many asset pricing theories for example arbitrage pricing theory apt as developed by ross 1976 the interpretation is that the common factors represent sources of systematic or nondiversifiable risk and the idiosyncratic component of returns represents diversifiable risks our focus here is not on testing a particular asset pricing model per se but on developing empirical evidence for the existence of stylized facts regarding money market returns the stylized facts take the form of the existence measurement and interpretation of the common factors that are found in money markets our attempt to measure and interpret these sources of systematic risk may eventually lead to the construction of observable eco

interpreting the forward premium anomaly one of the central issues in international finance concerns the forward premium anomaly changes in spot exchange rates are inversely related to the premium of forward rates over spot rates the authors construct a numerical example of a theoretical economy with this property and discuss its potential as an explanation of the anomaly

gradual wage price adjustments labor market frictions and monetary policy rules abstract in this paper the role of different types of labor market frictions in the dynamics of output and inflation is investigated for this purpose the keynes goodwin model discussed in chen et al 2006 and franke et al 2006 is extended by a labor search and matching module along the lines of mortensen et al 1994 after estimating the resulting model with u s aggregate time series and comparing its dynamics with those of a var model the performance of different types of monetary policy rules for inflation and more generally for macroeconomic stability is analyzed

macroeconomic forecasting in the euro area country specific versus area wide information abstract this paper compares several time series methods for short run forecasting of euro wide inflation and real activity using data from 1982 to 1997 forecasts are constructed from univariate autoregressions vector autoregressions single equation models that include euro wide and us aggregates and large model methods in which forecasts are based on estimates of common dynamic factors aggregate euro wide forecasts are constructed from models that utilize only aggregate euro wide variables and by aggregating country specific models the results suggest that forecasts constructed by aggregating the country specific models are more accurate than forecasts constructed using the aggregate data

inflation dynamics and real marginal costs new evidence from u s manufacturing industries this paper deals with the analysis of price setting in u s manufacturing industries recent studies have heavily criticized the ability of the new keynesian phillips curve nkpc to t aggregate in ation see e g rudd and whelan 2006 can rational expectations sticky price models explain in ation dynamics american economic review vol 96 1 pp 303 320 we challenge this evidence showing that forward looking behavior as implied by the new keynesian model of price setting is widely supported at the sectoral level in fact current and expected future values of the income share of intermediate goods emerge as

testing price equations how inflation and unemployment are related in both the short run and long run is perhaps the key question in macroeconomics this paper tests various price equations using quarterly u s data from 1952 to the present issues treated are the following 1 estimating price and wage equations in which wages affect prices and vice versa versus estimating reducedform price equations with no wage explanatory variables 2 estimating price equations in log level terms first difference i e inflation terms and second difference i e change in inflation terms 3 the treatment of expectations 4 the choice and functional form of the demand variable 5 the choice of the cost shock variable the results suggest that the best specification is a price equation in level terms imbedded in a price wage model where the wage equation is also in level terms the best cost shock variable is the import price deflator and the best demand variable is the unemployment rate there is some evidence of a nonlinear effect of the unemployment rate on the price level at low values of the unemployment rate many of the results in this paper are contrary to common views in the literature but the empirical

the asymmetry of the new keynesian phillips curve in the euro area abstract using a two stage quantile regression framework we uncover significant asymmetries across quantiles for all coefficients in an otherwise standard new keynesian phillips curve nkpc for the euro area a pure nkpc specification accurately captures inflation dynamics at high inflation quantiles

analysis of wage flexibility across the euro area evidence from the process of convergence of the labour income share ratio this article analyses wage flexibility as a factor in the unemployment rate across 12 euro area countries we use extensive evidence pertaining to the countercyclical behaviour of the labour income share ratio to estimate its equilibrium value in the long run this measure is calculated using a hybrid new keynesian phillips curve additionally by using spatial econometrics we can incorporate into the study the interdependence in the inflation among the countries as a result we identify countries that might see an improvement in their employment rates by improving their wage flexibility we also identify countries with high unemployment that is not a consequence of a lack of wage flexibility

elusive persistence wage and price rigidities the new keynesian phillips curve and inflation dynamics abstract we review the main new keynesian inflation equations that have arisen as a result of aggregation from individual firms price rigidities we find that on the whole they cannot account for inflation persistence a key feature of the empirical dynamics of inflation and with important policy implications the only exceptions seem to be when indexation is allowed in price setting or when price stickiness is combined with wage rigidity and staggering

the new keynesian phillips curve revisited abstract several authors have questioned the evidence claimed by gali and gertler 1999 and gali et al 2001 that a hybrid version of the new keynesian phillips curve approximates european and us inflation dynamics quite well we re examine the evidence using the vector autoregressive framework and likelihood based methods paying particular attention to the stationary and nonstationary and possibly cointegrated nature of variables involved our results show that the exact as well as the inexact form of the hybrid nkpc are clearly at odds with the european data on the other hand gali and gertler 1999 finding that the inexact hybrid nkpc is a good first approximation to the us inflation dynamics seems less at odds with the data however the assumption of the model that the stochastic term forms a sequence of innovations may be problematic as we find indication of autocorrelation in the estimated residuals the exact form of the hybrid nkpc is firmly rejected by the us data

a quantitative comparison of sticky price and sticky information models of price setting i estimate sticky price and sticky information models of price setting for the united states via maximum likelihood techniques reaching several conclusions first the sticky price model fits best and captures inflation dynamics as well as reduced form equations once hybrid behavior is allowed second the importance of hybrid behavior in sticky price models is potentially consistent with a role for some information imperfections such as sticky information as a complement to nominal price rigidities finally the favorable results herein for the hybrid sticky price model when evaluated by statistics that summarize the relative fit of different models is consistent with the existing literature that is both supportive and dismissive of such models as this literature has largely ignored fit in evaluating such models many previous studies have focused on ancillary issues such as the standard errors associated with certain parameters or granger causality tests that may not provide much information about sticky price models

the new keynesian phillips curve from sticky inflation to sticky prices the new keynesian phillips curve nkpc model of inflation dynamics based on forward looking expectations is of great theoretical significance in monetary policy analysis empirical studies however often find that backward looking inflation inertia dominates the dynamics of the short run aggregate supply curve this inconsistency is examined by investigating multiple structural changes in the nkpc for the u s between 1960 and 2005 employing both inflation expectations survey data and a rational expectations approximation we find that forward looking behavior plays a smaller role during the high and volatile inflation regime to 1981 than in the subsequent period of moderate inflation providing empirical support for sticky price models over the last two decades a break in the intercept of the nkpc is also identified around 2001 and this may be associated with u s monetary policy in that period

currency fluctuations in the post bretton woods era the international monetary landscape that has emerged since the felling of bretton woods is characterized by a hybrid exchange rate system that lies somewhere between the textbook polar cases of a gold standard and a pure float this system has relatively flexible exchange rates between major countries active central bank intervention in the market for the major currencies and predominantly fixed exchange rates relative to the dollar or to some basket of currencies for less developed countries and newly industrializing nations the majority of research on currency markets since the early 1970s has focused on the characteristics of flexible exchange rates under this hybrid regime my thesis is that this research has been unsuccessful the proportion of monthly or quarterly exchange rate changes that current models can explain is essentially zero even after the fact forecasts that use actual values instead of forecasted values of the explanatory variables cannot explain major currency movements over the post bretton woods era this result is quite surprising since exchange rate changes would be entirely unpredictable only in very special cases of the theoretical models discussed as the discussion below will argue it is not a general implication of market efficiency that exchange rates follow a random walk process 1

the new keynesian phillips curve endogeneity and misspecification the wrong or insignificant sign of the forcing variable in the new keynesian phillips curve estimations may be a result of the endogeneity of the labour share and misspecification of real marginal cost in the baseline model we address the misspecification of real marginal cost by formulating a broad measure that features the labour share output gap and supply shock variables the endogeneity of the labour share is addressed by using an appropriate lag of the labour share in the phillips curve reduced form evidence from five developed and five emerging market economies support the empirical validity of the nkpc

a naive sticky information model of households inflation expectations this paper provides a simple epidemiology model where households when forming their inflation expectations rationally adopt the past release of inflation with certain probability rather than the forward looking newspaper forecast as suggested in carroll 2003 macroeconomic expectations of households and professional forecasters quarterly journal of economics 118 269 298 the posterior model probabilities based on the michigan survey data strongly support the proposed model we also extend the agent based epidemiology model by deriving for it a simple adaptation which is suitable for estimation our results show that this model is able to capture the heterogeneity in households expectations very well

behavioral heterogeneity in u s inflation dynamics in this article we develop and estimate a behavioral model of inflation dynamics with heterogeneous firms in our stylized framework there are two groups of price setters fundamentalists and rando

weak instrument robust tests in gmm and the new keynesian phillips curve we discuss weak instrument robust statistics in gmm for testing hypotheses on the full parameter vector or on subsets of the parameters we use these test procedures to reexamine the evidence on the new keynesian phillips curve model we find that u s postwar data are consistent with the view that inflation dynamics are predominantly forward looking but we cannot rule out the presence of considerable backward looking dynamics moreover the phillips curve has become flatter recently and this is an important factor contributing to its weak identification

labor productivity and the business cycle can r b c models be saved abstract standard r b c models do not enable one to reproduce the main labor market stylized facts employment is more variable than productivity and average productivity leads the cycle in order to mimic these features we consider a model with indivisible labor labor hoarding and adjustment costs the model is then simulated and compared to u s stylized facts we show that government expenditure shock and some specific labor adjustment costs are necessary to explain the lead of the average productivity over the business cycle

intrinsic inflation persistence empirical evidence suggests that inflation determination is not purely forward looking but models of price setting have struggled to rationalize this finding without directly assuming backward looking pricing rules for firms this paper shows that intrinsic inflation persistence can be explained with no deviation from optimizing forward looking behaviour if prices that have remained fixed for longer are more likely to be changed than those set recently a relationship between the probability of price adjustment and the duration of a price spell is shown to imply a simple hybrid phillips curve including lagged and expected inflation which is estimated using macroeconomic data

why do term structures in different currencies co move abstract yield curve fluctuations across different currencies are highly correlated this paper investigates this phenomenon by exploring the channels through which macroeconomic shocks are transmitted across borders macroeconomic shocks affect current and expected future short term rates as central banks react to changing economic environments investors could also respond to these shocks by altering their required compensation for risk macroeconomic shocks thus influence bond yields both through a policy channel and through a risk compensation channel using data from the us the uk and germany we find that world inflation and us yield level together explain over two thirds of the covariance of yields at all maturities further these effects operate largely through the risk compensation channel for long term bonds

understanding the gains from wage flexibility the exchange rate connection we study the gains from increased wage exibility and their dependence on exchange rate policy using a small open economy model with staggered price and wage setting two results stand out i the impact of wage adjustments on employment is smaller the more the central bank seeks to stabilize the exchange rate and ii an increase in wage exibility often reduces welfare and more likely so in economies under an exchange rate peg or an exchange rate focused monetary policy our ndings call into question the common view that wage exibility is particularly desirable in a currency union

sticky prices in the euro area a summary of new micro evidence this paper summarises the vast evidence on micro price setting recently obtained for euro area countries we consider studies with micro data on consumer and producer prices as well as survey information the main findings are 1 prices in the euro area are sticky and stickier than in the us 2 downward price rigidity is only slightly more marked than upward price rigidity 3 heterogeneity and asymmetries are observed in price setting and 4 the relevance of theories that explain price stickiness such as implicit or explicit contracts marginal costs and coordination failure is confirmed whereas menu costs pricing thresholds and costly information explanations are judged much less relevant by firms jel c25 d40 e31

macroeconomic models and the yield curve an assessment of the fit abstract many have questioned the empirical relevance of the calvo yun model this paper adds a term structure to three widely studied macroeconomic models calvo yun hybrid and svensson we back out from observations on the yield curve the underlying macroeconomic model that most closely matches the level slope and curvature of the yield curve with each model we trace the response of the yield curve to macroeconomic shocks we assess the fit of each model against the observed behaviour of interest rates and find limited support for the calvo yun model in terms of fit with the observed yield curve we find some support for the hybrid model but the svensson model performs best

intrinsic persistence of wage inflation in new keynesian models of the business cycles we derive and estimate a new keynesian wage phillips curve that accounts for intrinsic inertia in line with microevidence on wage setting we consider a wage setting model featuring an upward sloping hazard function based on the notion that the probability of resetting a wage depends on the time elapsed since the last reset our wage phillips curve embeds also backward terms we test the hazard function slope using generalized method of moment estimation then placing our equation in a small scale new keynesian model we investigate its dynamic properties using bayesian estimation model comparison shows that our model outperforms commonly used alternative methods to introduce persistence

identifying the new keynesian phillips curve phillips curves are central to discussions of inflation dynamics and monetary policy the hybrid new keynesian phillips curve nkpc describes how past inflation expected future inflation and a measure of real aggregate demand drive the current inflation rate this paper studies the potential weak identification of the nkpc under generalized method of moments and traces this syndrome to a lack of higher order dynamics in exogenous variables we employ analytic methods to understand the economics of the nkpc identification problem in the canonical three equation new keynesian model we revisit the empirical evidence for the usa the uk and canada by constructing tests and confidence intervals based on the anderson and rubin 1949 statistic which is robust to weak identification we also apply the guggenberger and smith 2008 lm test to the underlying nkpc pricing parameters both tests yield little evidence of forward looking inflation dynamics copyright 2008 john wiley sons ltd

european inflation dynamics abstract we provide evidence on the fit of the new phillips curve npc for the euro area over the period 1970 1998 and use it as a tool to compare the characteristics of european inflation dynamics with those observed in the u s we also analyze the factors underlying inflation inertia by examining the cyclical behavior of marginal costs as well as that of its two main components namely labor productivity and real wages some of the findings can be summarized as follows a the npc fits euro area data very well possibly better than u s data b the degree of price stickiness implied by the estimates is substantial but in line with survey evidence and u s estimates c inflation dynamics in the euro area appear to have a stronger forward looking component i e less inertia than in the u s d labor market frictions as manifested in the behavior of the wage markup appear to have played a key role in shaping the behavior of marginal costs and consequently inflation in europe

exchange rates and interest rates can term structure models explain currency movements abstract we construct an international term structure model that has excellent empirical performance in tracking movements of exchange rates and currency returns the forward premium puzzle is accounted for yet the model does not have the undesirable properties found in backus et al j finance 56 2001 279 examination of the estimated factor structure indicates that local factors are not important in the us uk and german markets moreover we find that term structure factors alone cannot satisfactorily explain exchange rate movements in other words exchange rates are also affected by other factors that are not in the interest rate dynamics

is forward looking inflation targeting destabilizing the role of policy s response to current output under endogenous investment we show that with endogenous investment virtually all monetary policy rules that set a nominal interest rate in response solely to expected future inflation induce real indeterminacy in models with i staggered prices ii staggered prices and staggered wages and iii staggered prices staggered wages and firm specific capital in i policy s response to current output can help significantly in ensuring determinacy with an infinite labor supply elasticity but little with empirically plausible labor supply elasticity in ii responding to output always helps a great deal though under low price stickiness and without capital adjustment cost it may call for a moderate response to output in order to ensure determinacy for a wide range of response to inflation in iii even a tiny response to output can always render equilibrium determinate for a wide range of response to inflation

phillips curves and unemployment dynamics a critique and a holistic perspective the conventional wisdom that inflation and unemployment are unrelated in the long run implies that these phenomena can be analysed by separate branches of economics the macro literature tries to explain inflation dynamics and estimates the nairu the labour macro literature tries to explain unemployment dynamics and determine the real economic factors that drive the natural rate of unemployment we show that the orthodox view that the new keynesian phillips curve is vertical in the long run and that it cannot generate substantial inflation persistence relies on the implausible assumption of a zero interest rate in the light of these results we argue that a holistic framework is needed to jointly explain the evolution of inflation and unemployment

inventories cycle in an augmented rbc model abstract we propose an augmented version of the rbc model that can take into account the existence of lags in observation of demand shocks this hypothesis seems to be a good framework to account for inventories fluctuations we find some evidence showing the introduction of lag in observation as well as the existence of monetary shocks improve the ability of the model in matching the observed fluctuations

estimation of hybrid phillips curve a source of conflicting empirical results author affiliation hae shin hwang hshwang tamu eduwoong kim kw bok or kr1 introductionthe new keynesian phillips curve nkpc models are based on the microeconomic foundation that introduces nominal rigidities into the forward looking optimizing behavior of monopolistically competitive firms the baseline model specifies the inflation as a function of forward looking expectations of inflation and marginal costs as the underlying driving force gali and gertler henceforth identified as gg 1999 extend the baseline model by introducing two types of firms forward looking and backward looking firms the resulting model is a hybrid model that includes past inflation and expected inflation in addition to the marginal cost as the driving force the presence of the past inflation in the model helps to explain the persistence of inflation main interests in the empirical analysis of gg s model are the degree of price rigidity the relative roles of forward and backward looking behavior and the relevance of the marginal cost as the driving force instead of a more conventional measure of the output gap the model is typically estimated in a structural form sf or in a closed form cf using the generalized methods of moments gmm the inflation rate is usually measured by the rate of change in either the gdp deflator or the non farm business nfb deflator the two inflation rates show very similar time paths with a high correlation coefficient and the sf and the cf equations are alternative expressions of the same theoretical model therefore one would expect that the estimates of underlying parameters and the tests of hypotheses will be similar regardless of the choice of the inflation measure and the estimation equation however recent empirical studies show contradicting conclusions gg and gali gertler and lopez salido henceforth referred to as ggls5 2005 find the dominance of forward looking behavior and significance of the marginal cost as the driving force while rudd and whelan henceforth referred to as rw7 2007 find the results that contradict the conclusions of gg and ggls5 the source of conflicting results cannot be easily identified from the studies of these authors because of the differences in their data sets and their different choices of three factors estimation equation sf or cf measurement of inflation gdp or nfb and instrumental variables see table 1 for the list of instrumental variables that are used in each study gg draw their conclusion from the estimation of sf equations sf gdp and sf nfb and ggls5 draw their conclusion from the estimation of equations with gdp deflator sf gdp and cf gdp while rw7 estimate the cf equation with the nfb deflator cf nfb table 1 set of instrumental variables table omitted see article image to examine the effects of the different choices of these factors we estimated their models on a common data set that covers the period extending from 1960 i to 2003 iv 1 we find that conclusions in previous studies are indeed sensitive to the choices of the equation inflation measure and instrumental variables 2 for example rw7 report an insignificant effect of the marginal cost in their cf nfb model however if the gdp deflator is used instead the marginal cost becomes highly significant and their conclusion would have been reversed conversely ggls5 report a highly significant effect of the marginal cost in their sf gdp model but it becomes insignificant if nfb is used in their estimation equation gg s conclusion of a predominance of forward looking behavior of the firms in their sf gdp model would have been also reversed if they estimated a cf equation cf gdp with the same set of instrumental variables choices of instrumental variables also play a critical role gg s finding of significant marginal cost in their sf gdp model is reversed if rw7 s instrumental variables are used

the new keynesian phillips curve and lagged inflation a case of spurious correlation the new keynesian phillips curve nkpc specifies a relationship between inflation and a forcing variable and the current period s expectation of future inflation most empirical estimates of the nkpc typically based on generalized method of moments gmm estimation have found a significant role for lagged inflation producing a hybrid nkpc using u s quarterly data this article examines whether the role of lagged inflation in the nkpc might be due to the spurious outcome of specification biases like previous investigators we employ gmm estimation and like those investigators we find a significant effect for lagged inflation we also use time varying coefficient tvc estimation a procedure that produces consistency under a variety of sources of misspecification using two separate measures of expected inflation we find strong support for the view that under tvc estimation the coefficient on expected inflation is near unity and that the role of lagged inflation in the nkpc is spurious

returns to scale market power and the nature of price rigidity in new keynesian models with self fulfilling expectations increasing returns to scale and firms market power are two potential sources of sunspot expectations in neoclassical models we show that in new keynesian models returns to scale and market power can have fundamentally different implications for broad macroeconomic issues including self fulfilling expectations depending on the nature of price rigidity our findings suggest that the design of stabilization monetary policy can depend on precise knowledge about the economy s real and nominal features therefore a clear understanding of the specific economic environment and its relevance to monetary policymaking for ensuring macroeconomic stability can be an integrated part of monetary policy practice

price setting with quadratic adjustment costs experimental evidence abstract we test the price setting behavior of firms using the rotemberg 1982 model in order to explain puzzles in the new keynesian phillips curve nkpc for our tests we conducted experiments that adapt the model into an individual decision making problem we find systematic deviations in price setting according to the subjects degree of information acquisition subjects rarely make use of past information on the other hand subjects that decide to acquire relatively little information about future desired prices tend to overweight their own past set price when they set prices we study the impact of this heterogeneous price setting behavior for theoretically derived forward looking phillips curves our estimated nkpcs are in line with the empirical literature the deviations from theoretical predictions in our nkpcs are driven by the less informed subjects

inflexible prices and procyclical productivity hall has shown that with perfect competition and price flexibility total factor productivity measured using labor s share either in revenues or in costs will be acyclical regardless of the level of labor hoarding we show that if firms producing a homogeneous good under constant returns must pick their prices before demand is known both measures of productivity become procyclical the model implies that productivity should be more procyclical the more important is labor hoarding empirically productivity is more procyclical in industries and in nations where labor hoarding appears more important

the new keynesian phillips curve with myopic agents abstract empirical estimations of the new keynesian phillips curve support hybrid versions with a positive weight on lagged inflation and a weight less than one on expected inflation we argue that myopic price setting of some agents explains the low weight on expected inflation the lagged term can be explained by trend extrapolation if information about the future is costly in a laboratory experiment we implement the calvo 1983 microfoundations of the phillips curve our hypotheses are supported by the experimental data about half of the subjects set optimal calvo prices while about a third is myopic

pricing foreign currency options under stochastic interest rates abstract in this paper we build a general framework to price contingent claims on foreign currencies using the heath et al 1987 model of the term structure closed form solutions are obtained for european options on currencies and currency futures assuming that the volatility functions determining the term structure are deterministic as such this paper provides an example of a bond price process for both the domestic and foreign economies consistent with grabbe s 1983 formulation of the same problem

equilibrium valuation of foreign exchange claims this article studies the equilibrium valuation of foreign exchange contingent claims within a continuous time lucas 1982 two country model exchange rates interest rates and in particular factor risk prices are all endogenously and jointly determined this guarantees the internal consistency of these price processes with a general equilibrium in the same model closed form valuation formulas are presented for currency options and currency futures options common to these formulas is that stochastic volatility and stochastic interest rates are admitted hedge ratios and other comparative statics are also provided analytically it is shown that most existing currency option models are included as special cases this article studies the equilibrium valuation and hedging of foreign exchange contingent claims the framework for analysis is the continuous time counterpart of the well known two country monetary model of lucas 1982 1 that is we use the modeling structure of lucas 1982 and adopt his representativeagent perfect pooling equilibrium notion rather than extending the lucas setup to a cox ingersoll and ross 1985a henceforth cir production economy as is done in nielsen and saa requejo 1993 for our purpose the lucas framework offers the desired simplicity and tractability we assume a stochastic structure for the international economy such that the resulting nominal interest rates and exchange rate dynamics exhibit similar empirically plausible features as the corresponding ones in nielsen and saa requejo 1993 for example the endogenous interest rates are positively correlated across national borders campbell and clarida 1987 and ilmanen 1995 as a predictor of future spot exchange rates the equilibrium forward exchange rate is biased in a direction consistent with the forward premium puzzle

price setting in the euro area some stylized facts from individual producer price data this paper summarizes the microevidence on the setting of producer prices in the euro area the main findings are i 21 of producer prices are adjusted each month ii producer prices are changed more frequently and by smaller amounts than consumer prices even after controlling for product characteristics iii price decreases are relatively frequent iv inflation correlates positively with the difference between the frequency of price increases and decreases and v there is substantial variation in price flexibility across sectors which can be explained in part by differences in the cost structure the degree of competition and the level of sectoral inflation

the history of the phillips curve consensus and bifurcation while the early history of the phillips curve up to 1975 is well known less well understood is the post 1975 fork in the road the left fork developed a theory of policy responses to supply shocks in the context of price stickiness in the non shocked sector its econometric implementation interacts shocks with backward looking inertia the right fork approach emphasizes forward looking expectations that can jump in response to anticipated policy changes the left fork approach is better suited to explaining the postwar us inflation process while the right fork approach is essential for understanding behaviour in economies with unstable macroeconomic environments the history of the phillips curve pc has evolved in two phases before and after 1975 with a widespread consensus about the pre 1975 evolution which is well understood bifurcation begins in 1975 when the pc literature split down two forks of the road with little communication or interaction between the two forks the major contribution of this paper and hence the source of bifurcation in its subtitle is to examine contrast and test the contributions of the two post 1975 forks the pre 1975 history is straightforward and is covered in section i the initial discovery of the negative inflation unemployment relation by phillips popularized by samuelson and solow was followed by a brief period in which policy makers assumed that they could exploit the trade off to reduce unemployment at a small cost of additional inflation then the natural rate revolution of friedman phelps and lucas overturned the policy exploitable trade off in favour of long run monetary neutrality those who had implemented the econometric version of the trade off pc in the 1960s reeled in disbelief when sargent demonstrated the logical failure of their test of neutrality and finally were condemned to the wreckage of keynesian economics by lucas and sargent following the twist of the inflation unemployment correlation from negative in the 1960s to positive in the 1970s the architects of neutrality and the opponents of the keynesian trade off emerged triumphant with two major caveats that their own models based on information barriers were unconvincing and that their core result that business cycles were driven by monetary or price surprises floundered without supporting evidence after 1975 the evolution of the pc literature split in two directions each of which has largely failed to recognize the other s contributions section ii reviews the left fork of the road the revival of the pc trade off in a coherent and integrated dynamic aggregate supply and demand framework that emerged in the late 1970s in econometric tests in theoretical contributions and in intermediate macro textbooks this approach which i have called mainstream is resolutely keynesian because the inflation rate is dominated by persistence and inertia in the form of long lags on past inflation an important difference between the mainstream approach and other post 1975 developments is that the role of past inflation is not limited to the formation of expectations but also includes a pure persistence effect due to fixed duration wage and price contracts and lags between

testing for time variation in an unobserved components model for the u s economy abstract this paper analyzes the amount of time variation in the parameters of a reduced form empirical macroeconomic model for the u s economy we decompose output inflation and unemployment in their stochastic trend and business cycle gap components with the latter linked through the phillips curve and okun s law a novel bayesian model selection procedure is used to test which parameters vary over time and which components exhibit stochastic volatility using data from 1959q2 to 2014q3 we find substantial time variation in okun s law while the phillips curve slope appears to be stable stochastic volatility is found to be important for cyclical shocks to the economy while the volatility of permanent shocks remains stable

a sectoral analysis of price setting behavior in us manufacturing industries abstract in this paper we estimate new keynesian phillips curves nkpc for u s manufacturing industries defined at the sic two digit level over the period 1959 to 1996 this enables us to measure the extent of nominal inertia across industrial sectors a key innovation in this research is the use of intermediate goods costs rather than labor costs as a measure of marginal costs intermediate goods costs are a more significant element of costs for the firms populating our sample and are not subject to the criticism that wage rates are nonallocative we find that there is statistically significant variability in estimates of price stickiness ranging from eight months to two years we also find that estimates of backward looking price setting behavior vary with some industries characterized by 81 of pricing decisions made in a purely forward looking manner while in others only 52 of pricing decisions are made that way market concentration as captured by the herfindahl hirschman index appears to be

posterior predictive evidence on us inflation using extended new keynesian phillips curve models with non filtered data changing time series properties of us inflation and economic activity measured as marginal costs are modeled within a set of extended new keynesian phillips curve nkpc models it is shown that mechanical removal or modeling of simple low frequency movements in the data may yield poor predictive results which depend on the model specification used basic nkpc models are extended to include structural time series models that describe typical time varying patterns in levels and volatilities forward and backward looking expectation components for inflation are incorporated and their relative importance is evaluated survey data on expected inflation are introduced to strengthen the information in the likelihood use is made of simulation based bayesian techniques for the empirical analysis no credible evidence is found on endogeneity and long run stability between inflation and marginal costs backward looking inflation appears stronger than forward looking inflation levels and volatilities of inflation are estimated more precisely using rich nkpc models the extended nkpc structures compare favorably with existing basic bayesian vector autoregressive and stochastic volatility models in terms of fit and prediction tails of the complete predictive distributions indicate an increase in the probability of deflation in recent years

new tests of the new keynesian phillips curve abstract lagged dependent variables typically play an important role in empirical models of inflation do these lags reflect backward looking inflation expectations or do they proxy for rational forward looking expectations as in the new keynesian phillips curve gali and gertler 1999 inflation dynamics a structural econometric analysis journal of monetary economics 44 195 222 attempt to answer this question using gmm to estimate specifications incorporating both lagged and future inflation they report small coefficients on lagged inflation and conclude that the new keynesian model provides a good first approximation to inflation dynamics we show that these tests have low power against alternative backward looking specifications and demonstrate that their results are also consistent with a backward looking phillips curve using an alternative approach we find that the new keynesian pricing model cannot explain the importance of lagged inflation in standard inflation regressions and find that forward looking terms play a very limited role in explaining inflation dynamics

uncovered interest parity forward guidance and the exchange rate under uncovered interest parity uip the size of the effect on the real exchange rate of an anticipated change in real interest rate differentials is invariant to the horizon at which the change is expected empirical evidence using us euro area and uk data points to a substantial deviation from that invariance prediction expectations of interest rate differentials in the near distant future are shown to have much larger smaller effects on the real exchange rate than is implied by uip some possible explanations are discussed

price changes in the euro area and the united states some facts from individual consumer price data prices of goods and services do not adjust immediately in response to changing demand and supply conditions this paper characterizes the average frequency and size of price changes in the euro area and its member countries investigates the determinants of the probability of price changes and compares the evidence for the euro area with available u s results the facts documented in this paper are based on evidence from individual price data recorded at the store level in all euro area countries except ireland and greece that is in datasets covering austria belgium finland france germany italy luxembourg the netherlands portugal and spain which together account for around 97 percent of euro area gdp the data used are the monthly price records underlying the computation of national consumer price indices and harmonized consumer price indices these data cover a large number of products selected on the basis of extensive household budget surveys

can affine term structure models help us predict exchange rates the author proposes an arbitrage free model of the joint behaviour of interest and exchange rates whose exchange rate forecasts outperform those produced by a random walk model a vector autoregression on the forward premiums and the rate of depreciation and the standard forward premium regression

an exploration of the forward premium puzzle in currency markets a standard empirical finding is that expected changes in exchange rates and interest rate differentials across countries are negatively related implying that uncovered interest rate parity is violated in the data this article provides new empirical evidence that suggests that violations of uncovered interest rate parity and its economic implications depend on the sign of the interest rate differentially a framework related to term structure models is developed to account for the puzzling relationship between expected changes in exchange rates and interest rate differentials estimation results suggest that a particular term structure model can account for the puzzling empirical evidence article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

monetary policy choices in emerging market economies the case of high productivity growth we develop a general equilibrium model of an emerging market economy where productivity growth differentials between tradable and non tradable sectors result in an equilibrium appreciation of the real exchange rate the so called balassa samuelson effect the paper explores the dynamic properties of this economy and the welfare implications of alternative policy rules we show that the real exchange rate appreciation limits the range of policy rules that with a given probability keep inflation and exchange rate within predetermined numerical targets we also find that the b s effect raises by an order of magnitude the welfare loss associated with policy rules that prescribe active exchange rate management

how well do linear approximation methods work abstract in this paper we investigate the accuracy of approximating policy functions for three different approximation methods in the context of a neoclassical model with a production tax we find that a variant of the king plosser and rebelo procedure yields the best approximations overall but that in certain instances researchers may be better off using a discrete state space solution to the euler equations of the model

unemployment and the business cycle in a small open economy g m m estimation and testing with french data abstract what is a relevant model for the european business cycle in this paper the empirical performances of three models are compared a canonical walrasian r b c framework its extension to the case of a small open economy and a version of this model with search and wage bargaining on the labor market structural parameters of the models are estimated using g m m and their abilities to reproduce the french business cycle taken as representative of the european business cycle are tested only the small open economy with unemployment is able to generate theoretical moments that match their empirical counterparts

estimating the new keynesian phillips curve a vertical production chain approach it has become customary to estimate the new keynesian phillips curve nkpc with gmm using a large instrument set that includes lags of variables that are ad hoc to the model researchers have also conventionally used real unit labor cost rulc as the proxy for real marginal cost even though it is difficult to support its significance this paper introduces a new proxy for the real marginal cost term as well as a new instrument set both of which are based on the micro foundations of the vertical chain of production i find that the new proxy based on input prices as opposed to wages provides a more robust and significant fit to the model instruments that are based on the vertical chain of production appear to be both more valid and relevant towards the model

modeling inflation dynamics a critical review of recent research in recent years a broad academic consensus has arisen around the use of rational expectations sticky price models to capture inflation dynamics these models are seen as providing an empirically reasonable characterization of observed inflation behavior once suitable measures of the output gap are chosen and moreover are perceived to be robust to the lucas critique in a way that earlier econometric models of inflation are not we review the principal conclusions of this literature concerning 1 the ability of these models to fit the data 2 the importance of rational forward looking expectations in price setting and 3 the appropriate measure of inflationary pressures we argue that existing rational expectations sticky price models fail to provide a useful empirical description of the inflation process especially relative to traditional econometric phillips curves of the sort commonly employed for policy analysis

the labour share and the dynamics of output abstractwe derive a new keynesian is curve that is augmented to capture the direct effects of the labour share on output our derivation shows that the direct effect of the labour share on output is ambiguous furthermore theory suggests that the expected labour share negatively affects output empirically we find that the labour share plays a significant role in driving output dynamics however contrary to theoretical expectation the expected labour share positively affects output in some cases a finding we call the labour share puzzle we also find that over time there seems to be a general shift in aggregate demand dynamics towards being profit led i e rising labour share decreases output we conclude that policymakers should not ignore the labour share in their decisions

new keynesian economics and the phillips curve models with sticky prices are an important part of new keynesian economics the author shows that several of the new keynesian models imply a formulation that is similar to the expectations augmented phillips curve of milton friedman and edmund phelps he then presents new estimates of the new keynesian phillips curve the author uses two proxies for price expectations survey based measures and an econometric based measure originally developed by bennett mccallum 1976 overall the results are consistent with the model but the survey based results are more precise suggesting that the surveys may be better measures of actual expectations copyright 1995 by ohio state university press

a theory of the nominal term structure of interest rates a model of the nominal term structure of interest rates is developed that has a positive and stationary process for the interest rate and delivers closed form expressions for the prices of discount bonds and european options on bonds unlike the one state variable version of the cox ingersoll and ross 1985 model this model even in its one state variable version allows the term premium to change sign as a function of the state and the term to maturity and also allows for shapes of the yield curve that are observed in the u s data but that are disallowed in the cox ingersoll and ross model article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

international house price cycles monetary policy and credit abstract we evaluate three alternative predictors of house price corrections anticipated tightenings of monetary policy deviations of house prices from fundamentals and rapid credit growth a new cross country measure of monetary policy expectations based on an international term structure model with time varying risk premiums is constructed house price overvaluation is estimated via an asset pricing model the variables are incorporated into a panel logit regression model that estimates the likelihood of a large house price correction in 18 oecd countries the results show that corrections are predicted by increases in the market s forecast of higher policy rates the estimated degree of house price overvaluation also contains significant information about subsequent price reversals in contrast to the financial crisis literature credit growth is less important all of these variables help forecast recessions

dynamic pricing and imperfect common knowledge abstract introducing private information into the dynamic pricing decision of firms by adding an idiosyncratic component to marginal cost can help explain two stylised facts about price changes aggregate inflation responds gradually and with inertia to shocks at the same time as individual price changes can be large the inertial behaviour of inflation is driven by privately informed firms strategically herding on the public information contained in the observations of lagged aggregate variables the model also matches the average duration between price changes found in the data and it nests the standard new keynesian phillips curve as a special case to solve the model the paper derives an algorithm for solving a class of dynamic models with higher order expectations

integrating sticky prices and sticky information abstract understanding the relationship between nominal and real variables most notably inflation and cyclical output is one of the fundamental questions of economics toward this understanding we develop a model that integrates sticky prices and sticky information a dual stickiness model we find that both rigidities are present in u s data we also show that the dual stickiness model s closest competitor is the hybrid new keynesian model for both models current inflation depends in part on last period s inflation the former model achieves this dependence endogenously through the interaction of the two rigidities rather than through backward looking behavior u s data support the dual stickiness model over the hybrid model because lagged expectations terms appear in the former s inflation euler equation finally we show that it is quantitatively important to distinguish between the two by simulating a dynamic equilibrium model under each of the two inflation equations

inflation dynamics and subjective expectations in the united states i introduction this paper analyzes the ability of sticky price models to explain the dynamics of u s inflation when using survey data as proxies for inflation expectations testing sticky price models with survey expectations is attractive since to the extent that survey data correctly capture agents expectations they allow to disregard issues related to the specification of agents expectations functions one neither has to impose untested orthogonality restrictions as required when estimating under the assumption of rational expectations nor has to make restrictive assumptions about the precise form of nonrationality present in agents forecast functions this allows to focus on the question whether the economic models under consideration are correctly specified previous tests of sticky price models performed under the assumption that agents hold rational expectations have generated mixed results prominently fuhrer and moore 1995 have reported that sticky price models do not generate sufficient stickiness for inflation when the output gap is used as a measure of real marginal costs recent evidence however has shown that the empirical performance depends crucially on how one measures real marginal costs the main determinant of inflation according to sticky price models for instance gall and gertler 1999 and sbordone 2002 show that sticky price models perform well once marginal costs are approximated by average unit labor costs 1 it makes an important difference whether sticky price models successfully explain inflation dynamics as a function of output behavior or they relate inflation dynamics to the behavior of unit labor costs given that the ultimate objective is a model explaining the joint behavior of output and inflation the latter case would require an additional empirically plausible theory linking the dynamics of unit labor costs to the behavior of output this paper studies whether the currently popular new keynesian phillips curve nkpc which can be derived from calvo 1983 style sticky price models is able to explain a relationship between inflation on the one hand and output or unit labor costs on the other hand thus we let the data speak whether a theory linking output to costs is warranted once expectations are approximated by data reported in the survey of professional forecasters our main finding is that the nkpc performs equally well with both measures of marginal costs output and unit labor costs whatever measure is used the estimate of the quarterly discount factor is close to one and the point estimate of the degree of price stickiness implies that firms reset their prices roughly every five quarters on average these results suggest that potential nonrationalities in expectations as they show up in surveys have biased previous estimates using output as a measure for marginal costs quite surprisingly the same nonrationalities do not seem to play a role when using unit labor costs here our estimates confirm the results obtained by gall and gertler 1999 and sbordone 2002 who assumed rational expectations we show that the reason for this finding is that approximating the agents information set using the unit labor cost variable rests on more solid grounds than approximating it using the output variable in particular the survey data suggest that the hypothesis of rational expectations implies a too high correlation between lagged output and future inflation expectations we show that this causes the coefficient estimate for output to become negative contrary to what is implied by theory these results suggest that once one takes account of potentially nonrational expectations via survey expectations sticky price models are able to establish a close link between output dynamics and the behavior of inflation to assess the robustness of this finding we include into the price equation lags of various variables and test for their significance

inventory investment and the empirical phillips curve in this paper we study the calvo pricing models with finished goods inventory investment to demonstrate that the current inflation can be expressed as a function of the marginal cost of sales not the marginal production cost and expected future inflation under the assumption that the true aggregate marginal costs are not observable in actual data we make use of equilibrium conditions for aggregate finished goods inventories to measure the time series of marginal costs thereby leading to the construction of inflation series on the basis of the phillips curve our results indicate the possibility of a successful fit of the empirical new keynesian phillips curve without relying on unit labor cost a conventional measure of marginal production cost in the literature

a simple test of the new keynesian phillips curve we propose a way to test the new keynesian phillips curve nkpc without estimating the structural parameters governing the curve i e price stickiness and firms backwardness using this strategy we can test the nkpc avoiding the identification problems related to the gmm approach we find that it does not exist a combination of the structural parameters which is consistent with us data this result does not necessarily imply that the idea of a forward looking price setting behaviour should be entirely disregarded as the rejection might be due to the failure of the joint hypothesis of rational expectations thus further research should be aimed at providing alternative models for agents expectations

robustness of the estimates of the hybrid new keynesian phillips curve abstract gali and gertler 1999 inflation dynamics a structural econometric approach journal of monetary eonomics 44 2 195 222 developed a hybrid variant of the new keynesian phillips curve that relates inflation to real marginal cost expected future inflation and lagged inflation gmm estimates of the model suggest that forward looking behavior is dominant the coefficient on expected future inflation substantially exceeds the coefficient on lagged inflation while the latter differs significantly from zero it is quantitatively modest several authors have suggested that our results are the product of specification bias or suspect estimation methods here we show that these claims are incorrect and that our results are robust to a variety of estimation procedures including gmm estimation of the closed form and nonlinear instrumental variables also as we discuss many others have obtained very similar results to ours using a systems approach including fiml techniques hence the conclusions of gg and others regarding the importance of forward looking behavior remain robust

macroeconomic forecasting using diffusion indexes this article studies forecasting a macroeconomic time series variable using a large number of predictors the predictors are summarized using a small number of indexes constructed by principal component analysis an approximate dynamic factor model serves as the statistical framework for the estimation of the indexes and construction of the forecasts the method is used to construct 6 12 and 24 monthahead forecasts for eight monthly u s macroeconomic time series using 215 predictors in simulated real time from 1970 through 1998 during this sample period these new forecasts outperformed univariate autoregressions small vector autoregressions and leading indicator models