Estimating Trend Inflation Based on Unobserved Components Model: Is It Correlated with the Inflation Gap?

Building on the work of Stock and Watson (2007), this paper empirically shows that a negative correlation between innovations to trend inflation and the inflation gap plays an important role in the dynamics of postwar U.S. inflation. Additional features that we incorporate in our model include regime‐switching inflation gap persistence and association between inflation and inflation uncertainty. The resulting estimate of trend inflation is smooth, and our model provides superior out‐of‐sample forecasts than Stock and Watson's (2007) unobserved components model with stochastic volatility or than Atkeson and Ohanian's (2001) random walk model does.     

International Evidence on the New Keynesian Phillips Curve Using Aggregate and Disaggregate Data

We present a unique empirical analysis of the properties of the New Keynesian Phillips Curve (NKPC) using an international data set of aggregate and disaggregate sectoral inflation. Our results from panel time‐series estimation clearly indicate that sectoral heterogeneity has important consequences for aggregate inflation behavior. Heterogeneity helps to explain the overestimation of inflation persistence and underestimation of the role of marginal costs in empirical investigations of the NKPC that use aggregate data. We find that combining disaggregate information with heterogeneous‐consistent estimation techniques helps to reconcile, to a large extent, the NKPC with the data.     

New measures of the output gap based on the forward-looking new Keynesian Phillips curve

Forward-looking versions of the New Keynesian Phillips curve imply that the output gap, the deviation of the actual output from its natural level due to nominal rigidities, drives the dynamics of inflation relative to expected inflation. We exploit this to set up a bivariate unobserved component model for extracting new estimates of the output gap in the US. The gap estimates are large and persistent even after allowing for correlated trend and cycle shock. We then augment our model to use the information in the unemployment rate. The estimates confirm the presence of a large and persistent cyclical component.     

The Phillips curve under state-dependent pricing

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.     

Inflation persistence: Alternative interpretations and policy implications

In this paper, I consider the policy implications of two alternative structural interpretations of observed inflation persistence, which correspond to two alternative specifications of the new Keynesian Phillips curve (NKPC). The first specification allows for some degree of intrinsic persistence by way of a lagged inflation term in the NKPC. The second is a purely forward-looking model, in which expectations farther into the future matter and coefficients are time-varying. In this specification, most of the observed inflation persistence is attributed to fluctuations in the underlying inflation trend, which are a consequence of monetary policy rather than a structural feature of the economy. With a simple quantitative exercise, I illustrate the consequences of implementing monetary policy, assuming a degree of intrinsic persistence that differs from the true one. The results suggest that the costs of implementing a stabilization policy when the policymaker overestimates the degree of intrinsic persistence are potentially higher than the costs of ignoring actual structural persistence; the result is more clear-cut when the policymaker minimizes a welfare-based loss function.     

A Theory of Intrinsic Inflation Persistence

We propose a novel theory of intrinsic inflation persistence by introducing trend inflation and Kimball (1995)-type aggregators of individual differentiated goods and labor in a model with staggered price- and wage-setting. Under nonzero trend inflation, the non-CES (constant elasticity of substitution) aggregator of goods and staggered price-setting give rise to a variable real marginal cost of goods aggregation, which becomes a driver of inflation. This marginal cost consists of an aggregate of the goods' relative prices, which depends on past inflation, thereby generating intrinsic inertia in inflation. Likewise, the non-CES aggregator of labor and staggered wage-setting lead to intrinsic inertia in wage inflation, which enhances the persistence of price inflation. With the theory we show that inflation exhibits a persistent, hump-shaped response to monetary policy shocks. We also demonstrate that lower trend inflation reduces inflation persistence and that a credible disinflation leads to a gradual decline in inflation and a fall in output.     

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.     

Inflation targeting: An indirect approach to assess the direct impact

It is quite difficult to assess the benefits of inflation targeting (IT) since its immediate effect will be on inflation expectations, an unobserved variable. Due to lack of comprehensive data on inflation expectations, most studies so far concentrated on the impact of IT either on observable variables like output, unemployment, and inflation or compared post-IT surveys of IT countries with non-IT countries. In our study, we focus on a yet unanswered question, i.e., how the expectations change with the adoption of IT. We suggest that heterogeneous inflation expectations lead to long memory in actual inflation, and IT, if successful, should decrease this persistence by concentrating the public’s expectations toward the announced target. Empirical results confirm our hypothesis with a reduction in inflation memory after the adoption of IT in almost all eight developed countries in our sample.     

产业结构调整与中国通货膨胀缺口持久性

转轨时期作为中国经济结构最重要内容的产业结构调整可能诱发通货膨胀缺口持久性的变化。本文将通货膨胀缺口作为通货膨胀持久性的替代变量,采用新凯恩斯混合菲利普斯曲线模型对1996～2010年期间中国通货膨胀的持久性特征进行了考察,并运用Blanchard-Quah结构分解方法分析了产业结构调整对通货膨胀缺口持久性的影响。结果表明,与现有研究的结果相比,单变量和多变量模型评估的中国通货膨胀缺口持久性都显著较低。通货膨胀缺口受第一、二、三产业结构冲击减弱至0的时期分别为3、3、2个季度;第一产业的发展对通胀缺口持久性的短期冲击为正,第二、三产业的冲击为负;总体而言,第一和第二产业的发展弱化了通货膨胀缺口持久性,第一产业的作用更为显著,而第三产业则强化了通货膨胀缺口持久性。各产业结构变化对通货膨胀缺口持久性的冲击力度大小分别为第一、三、二产业。因此,治理通货膨胀必须考虑产业结构调整因素的影响。     

Real Wage Rigidities and the New Keynesian Model

Most central banks perceive a trade‐off between stabilizing inflation and stabilizing the gap between output and desired output. However, the standard new Keynesian framework implies no such trade‐off. In that framework, stabilizing inflation is equivalent to stabilizing the welfare‐relevant output gap. In this paper, we argue that this property of the new Keynesian framework, which we call the divine coincidence, is due to a special feature of the model: the absence of nontrivial real imperfections. We focus on one such real imperfection, namely, real wage rigidities. When the baseline new Keynesian model is extended to allow for real wage rigidities, the divine coincidence disappears, and central banks indeed face a trade‐off between stabilizing inflation and stabilizing the welfare‐relevant output gap. We show that not only does the extended model have more realistic normative implications, but it also has appealing positive properties. In particular, it provides a natural interpretation for the dynamic inflation–unemployment relation found in the data.     

Inflation Targeting Around the World

This paper examines the inflation record of twenty-nine inflation- and noninflation-targeting economies. Both industrial and emerging market economies are considered. Empirical evidence is based on a comparison of actual and forecasted inflation, an econometric analysis that estimates changes in inflation persistence, and an estimate of the probability of a breach in the inflation target as a proxy for the fragility of the targeting regime. I find that inflation persistence has fallen in only a handful of emerging market economies. However, the inflationtargeting regime is not especially fragile in emerging market economies. As these economies gain experience with inflation targets and respond appropriately to forecast errors generated by the private sector, the likelihood of breaches in the target ranges tends to fall.     

Effective Use of Survey Information in Estimating the Evolution of Expected Inflation

The evolution of the term structure of expected U.S. inflation is modeled using survey data to provide timely information on structural change not contained in lagged inflation data. To capture shifts in subjective perceptions, the model is adaptive to long‐horizon survey expectations. However, even short‐horizon survey expectations inform shifting‐endpoint estimates that capture the lag between inflation and the perceived inflation target, which anchors inflation expectations. Results show movements of the perceived target are an important source of inflation persistence and suggest historical U.S. monetary policy was not fully credible for much of the postwar sample.     

Endogenous Price Stickiness,Trend Inflation,and Macroeconomic Stability

Previous studies show that higher trend inflation is more likely to induce indeterminacy of equilibrium in sticky‐price models based on micro evidence that each period a fraction of prices is kept unchanged. This paper demonstrates that when the degree of price stickiness is endogenously determined in a Calvo model, indeterminacy caused by higher trend inflation is less likely. A key factor for determinacy is the long‐run inflation elasticity of output implied by the New Keynesian Phillips curve. This elasticity declines substantially with higher trend inflation in the case of exogenously given price stickiness, whereas in the case of endogenous price stickiness the decline in the elasticity is mitigated because higher trend inflation leads to a higher probability of price adjustment.     

A New Time‐Varying Parameter Autoregressive Model for U.S. Inflation Expectations

We study the evolution of U.S. inflation by means of a new noncausal autoregressive model with time‐varying parameters that outperforms the corresponding causal and constant‐parameter noncausal models in terms of fit and forecast accuracy. Our model also beats the unobserved component stochastic volatility (UCSV) model, one of the best‐performing univariate inflation forecasting models, in terms of both point and density forecasts. We also show how the new Keynesian Phillips curve can be estimated based on our noncausal model. Both expected and lagged inflation turn out important, but the former dominates in determining the current inflation.     

Measuring Inflation Expectations Uncertainty Using High‐Frequency Data

Inflation expectations play a key role in determining future economic outcomes. The associated uncertainty provides a direct gauge of how well‐anchored the inflation expectations are. We construct a model‐based measure of inflation expectations uncertainty by augmenting a standard unobserved components model of inflation with information from noisy and possibly biased measures of inflation expectations obtained from financial markets. This new model‐based measure of inflation expectations uncertainty is more accurately estimated and can provide valuable information for policymakers. Using U.S. data, we find significant changes in inflation expectations uncertainty during the Great Recession.     

Why Has U.S. Inflation Become Harder to Forecast?

We examine whether the U.S. rate of price inflation has become harder to forecast and, to the extent that it has, what changes in the inflation process have made it so. The main finding is that the univariate inflation process is well described by an unobserved component trend-cycle model with stochastic volatility or, equivalently, an integrated moving average process with time-varying parameters. This model explains a variety of recent univariate inflation forecasting puzzles and begins to explain some multivariate inflation forecasting puzzles as well.     

Long‐Run Inflation and the Distorting Effects of Sticky Wages and Technical Change

We show that the Calvo price‐setting model is not necessarily inconsistent with evidence of a weak relation between positive trend inflation and price dispersion. We identify the interaction between sticky wages and technical change as factors disrupting the allocative role of the wage system under positive trend inflation. In turn, this interaction generates inefficient wage dispersion, as opposed to price dispersion, which fuels inflation costs. We conclude that it is too early to dismiss the New Keynesian model as a useful vehicle to assess the costs of inflation.     

An Inflation‐Predicting Measure of the Output Gap in the Euro Area

Using a small Bayesian dynamic factor model of the euro area, we estimate the deviations of output from its trend that are consistent with the behavior of inflation. We label these deviations the output gap. In order to pin down the features of the model, we evaluate the accuracy of real‐time inflation forecasts from different model specifications. The version that forecasts inflation best implies that after the 2011 sovereign debt crisis, the output gap in the euro area has been much larger than the official estimates. Versions featuring a secular stagnation‐like slowdown in trend growth, and hence a small output gap after 2011, do not adequately capture the inflation developments.     

Inflation Dynamics and the New Keynesian Phillips Curve in Four Central European Countries

This paper seeks to shed light on the inflation dynamics of four new central European EU members: the Czech Republic, Hungary, Poland, and Slovakia. To this end, the New Keynesian Phillips curve augmented for open economies is estimated and additional statistical tests applied, with the following results: (1) the claim of New Keynesians that the real marginal cost is the main inflation-forcing variable is fragile, (2) inflation seems to be driven by external factors, and (3) although inflation holds a forward-looking component, the backward-looking component is substantial. An intuitive explanation for higher inflation persistence may be adaptive, rather than rational price setting of local firms.     

The Macroeconomic Effects of Nonzero Trend Inflation

We study the macroeconomic effects of nonzero trend inflation in a simple dynamic stochastic general equilibrium model under three common time-dependent pricing schemes: Calvo, truncated-Calvo, and Taylor. We show that, regardless of the pricing mechanism, trend inflation leads to a reduction in the stochastic means of output, consumption and employment, and an increase in the stochastic mean of inflation beyond its deterministic steady-state level. The variability of most aggregates also increases. These effects are quantitatively much stronger with Calvo pricing.