Testing the New Keynesian Phillips Curve Through Vector Autoregressive Models: Results from the Euro Area*

This paper addresses the issue of testing the ‘hybrid’ New Keynesian Phillips curve (NKPC) through vector autoregressive (VAR) systems and likelihood methods, giving special emphasis to the case where the variables are non‐stationary. The idea is to use a VAR for both the inflation rate and the explanatory variable(s) to approximate the dynamics of the system and derive testable restrictions. Attention is focused on the ‘inexact’ formulation of the NKPC. Empirical results over the period 1971–98 show that the NKPC is far from providing a ‘good first approximation’ of inflation dynamics in the Euro area.     

Beyond monetary credibility: The impact of globalisation on the output-inflation trade-off in euro-area countries

This paper offers a simple theoretical model and some suggestive empirical evidence on the open economy New Keynesian Phillips Curve (NKPC) based on Blanchard's chain-of-production model (1983). It is here argued that, given a vertical input–output structure of production, the final stage comes with considerable price level inertia because of the high share of predetermined prices or, differently put, in the presence of domestic and international fragmentation in production. Econometric evidence confirms that the (hybrid) open economy specification of the NKPC is a better approximation of inflation dynamics in the euro-area than the closed economy specification and that globalisation has increased price stickiness, thereby producing a flattening of the Phillips Curve.     

Simulation‐based tests of forward‐looking models under VAR learning dynamics

In this paper we propose a simulation‐based technique to investigate the finite sample performance of likelihood ratio (LR) tests for the nonlinear restrictions that arise when a class of forward‐looking (FL) models typically used in monetary policy analysis is evaluated with vector autoregressive (VAR) models. We consider ‘one‐shot’ tests to evaluate the FL model under the rational expectations hypothesis and sequences of tests obtained under the adaptive learning hypothesis. The analysis is based on a comparison between the unrestricted and restricted VAR likelihoods, and the p‐values associated with the LR test statistics are computed by Monte Carlo simulation. We also address the case where the variables of the FL model can be approximated as non‐stationary cointegrated processes. Application to the ‘hybrid’ New Keynesian Phillips Curve (NKPC) in the euro area shows that (i) the forward‐looking component of inflation dynamics is much larger than the backward‐looking component and (ii) the sequence of restrictions implied by the cointegrated NKPC under learning dynamics is not rejected over the monitoring period 1984–2005. Copyright © 2010 John Wiley & Sons, Ltd.     

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. Copyright © 2014 John Wiley & Sons, Ltd.     

Is inflation driven by survey-based,VAR-based or myopic expectations? An empirical assessment from US real-time data

The relative importance of survey-based, VAR-based or myopic expectations is evaluated in accounting for US inflation dynamics in a New Keynesian Phillips Curve (NKPC) setting. Our contribution is threefold. First, we estimate the NKPC with both final and real-time vintage data in order to control for large revisions in the real GDP data. Second, we distinguish between two different series for VAR-based inflation forecasts—derived by a recursive or rolling-window method—to account for changes in the conduct and transmission mechanisms of US monetary policy after World War II. Third, joint restrictions are tested in the NKPC to assess whether one of the expectational variables is able, on its own, to capture inflation dynamics. On a statistical basis, we find that there is no clear-cut winner between VAR- and survey-based inflation expectations. Most of our estimated NKPC variants conclude that survey inflation expectations tend to have the largest numerical weight. Nevertheless, the difference between VAR- and survey-based expectations’ estimated coefficients is not statistically significant. Moreover, myopic expectations do not play any significant role in the majority of the estimated NKPC variants.     

Inflation dynamics and the New Keynesian Phillips Curve: An identification robust econometric analysis

We use identification-robust methods to assess a New Keynesian Phillips Curve (NKPC) equation. We focus on the Gali – Gertler [1999. Inflation dynamics: a structural econometric analysis. Journal of Monetary Economics 44, 195–222] specification, for U.S. and Canadian data. Two variants of the model are studied: one based on a rational-expectations assumption, and a modification which uses survey-based data on inflation expectations. The two specifications exhibit sharp differences concerning: (i) identification difficulties, (ii) backward-looking behavior, and (iii) price adjustment frequency. Overall, the results provide some support to the hybrid NKPC for the U.S., whereas the model is not suited to Canada. Our analysis underscores the need for employing identification-robust inference methods.     

Observed Inflation Forecasts and the New Keynesian Phillips Curve*

This paper investigates the empirical success of the New Keynesian Phillips Curve (NKPC) in explaining US inflation when observed measures of inflation expectations are used in conjunction with the output gap. The paper contributes to the literature by addressing the important problem of serial correlation in the stylized NKPC and developing an extended model to account for this serial correlation. Contrary to recent results indicating no role for the output gap, we find it to be a statistically significant driving variable for inflation, with this finding robust to whether the inflation expectations series used relates to individual consumers, professional forecasters or the US Fed.     

Econometric Evaluation of the New Keynesian Phillips Curve*

We give an appraisal of the New Keynesian Phillips curve (NPCM) as an empirical model of European inflation. The favourable evidence for NPCMs on euro‐area data reported in earlier studies is shown to depend on specific choices made about estimation methodology. The NPCM can be re‐interpreted as a highly restricted equilibrium correction model. We also report the outcome of tests based on variable addition and encompassing of existing models. The results show that economists should not accept the NPCM too readily.     

Weak Identification of Forward‐looking Models in Monetary Economics*

Recently, single‐equation estimation by the generalized method of moments (GMM) has become popular in the monetary economics literature, for estimating forward‐looking models with rational expectations. We discuss a method for analysing the empirical identification of such models that exploits their dynamic structure and the assumption of rational expectations. This allows us to judge the reliability of the resulting GMM estimation and inference and reveals the potential sources of weak identification. With reference to the New Keynesian Phillips curve of Galí and Gertler [Journal of Monetary Economics (1999) Vol. 44, 195] and the forward‐looking Taylor rules of Clarida, Galí and Gertler [Quarterly Journal of Economics (2000) Vol. 115, 147], we demonstrate that the usual ‘weak instruments’ problem can arise naturally, when the predictable variation in inflation is small relative to unpredictable future shocks (news). Hence, we conclude that those models are less reliably estimated over periods when inflation has been under effective policy control.     

Using OLS to Estimate and Test for Structural Changes in Models with Endogenous Regressors

We consider the problem of estimating and testing for multiple breaks in a single‐equation framework with regressors that are endogenous, i.e. correlated with the errors. We show that even in the presence of endogenous regressors it is still preferable, in most cases, to simply estimate the break dates and test for structural change using the usual ordinary least squares (OLS) framework. Except for some knife‐edge cases, it delivers estimates of the break dates with higher precision and tests with higher power compared to those obtained using an instrumental variable (IV) method. Also, the OLS method avoids potential weak identification problems caused by weak instruments. To illustrate the relevance of our theoretical results, we consider the stability of the New Keynesian hybrid Phillips curve. IV‐based methods only provide weak evidence of instability. On the other hand, OLS‐based ones strongly indicate a change in 1991:Q1 and that after this date the model loses all explanatory power. Copyright © 2013 John Wiley & Sons, Ltd.     

新凯恩斯菲利普斯曲线的弱识别检验和稳健估计

对基于GMM大样本统计量的检验和估计,弱识别会带来点估计不一致和置信区间规模不正确的问题。本文讨论了弱识别问题产生的原因、影响、检验和相关弱识别稳健统计量。用Cragg-Donald F统计量对NKPC重新进行了检验,发现的确存在弱识别问题,本文进而对NKPC的参数进行了弱识别稳健的估计,并且用CLR统计量构造了相应规模正确的置信区间。实证表明中国的通货膨胀具有明显的向前和向后行为,而向前行为从数量上来说要大于向后行为的影响,但是向后行为在数量上来说也是不可忽视的;子样本的检验表明通涨的向后行为有增强的趋势。     

Do global output gaps help forecast domestic inflation? Evidence from Phillips curves for Poland

This study confronts domestic and global views on inflation through the use of the Hybrid New Keynesian Phillips Curve (HNKPC) models estimated for headline and core inflation in Poland. We analyse the roles of the global vs. domestic output gaps in affecting price changes. We ensure that our conclusions are robust by taking into consideration various proxies for inflation expectations, imported inflation, the domestic output gap and the global output gap.Our results suggest that the global demand conditions are statistically insignificant in the majority of the estimated global versions of HNKPC, independently of the measure of them that is considered. In terms of empirical fit, and especially of the out-of-sample forecasting accuracy, the specifications of the Phillips curve with the domestic and global output gaps among the explanatory variables are not superior to traditional Phillips curves. Interestingly, the relative importance of the global output gap is much smaller in models that are estimated in terms of core inflation, excluding foodstuffs and energy, than in CPI inflation models. This suggests that global demand conditions affect the inflation in Poland indirectly, mainly through the prices of food and energy raw materials.The main conclusion from our study is that external factors that are already considered in the traditional hybrid versions of the new Keynesian Phillips curve are sufficient to account for global influences on prices in the domestic economy. The concept of the global output gap improves neither the explanatory nor the predictive power of HNKPC models.     

STABILISATION POLICY,RATIONAL EXPECTATIONS AND PRICE‐LEVEL VERSUS INFLATION TARGETING: A SURVEY

We survey literature comparing inflation targeting (IT) and price‐level targeting (PT) as macroeconomic stabilisation policies. Our focus is on New Keynesian models and areas that have seen significant developments since Ambler's (2009, Price‐level targeting and stabilisation policy: a survey. Journal of Economic Surveys 23(5): 974–997) survey: optimal monetary policy; the zero lower bound; financial frictions and transition costs of adopting a PT regime. Ambler's conclusion that PT improves social welfare in New Keynesian models is fairly robust, but we note an interesting split in the literature: PT consistently outperforms IT in models where policymakers commit to simple Taylor‐type rules, but results in favour of PT when policymakers minimise loss functions are overturned with small deviations from the baseline model. Since the beneficial effects of PT appear to hang on the joint assumption that agents are rational and the economy New Keynesian, we discuss survey and experimental evidence on rational expectations and the applied macro literature on the empirical performance of New Keynesian models. Overall, the evidence is not clear‐cut, but we note that New Keynesian models can pass formal statistical tests against macro data and that models with rational expectations outperform those with behavioural expectations (i.e. heuristics) in direct statistical tests. We therefore argue that policymakers should continue to pay attention to PT.     

The New Keynesian Phillips curve with myopic agents

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.     

IDENTIFICATION ISSUES IN LIMITED‐INFORMATION BAYESIAN ANALYSIS OF STRUCTURAL MACROECONOMIC MODELS

The likelihood of the parameters in structural macroeconomic models typically has non‐identification regions over which it is constant. When sufficiently diffuse priors are used, the posterior piles up in such non‐identification regions. Use of informative priors can lead to the opposite, so both can generate spurious inference. We propose priors/posteriors on the structural parameters that are implied by priors/posteriors on the parameters of an embedding reduced‐form model. An example of such a prior is the Jeffreys prior. We use it to conduct Bayesian limited‐information inference on the new Keynesian Phillips curve with a VAR reduced form for US data. Copyright © 2014 John Wiley & Sons, Ltd.     

America's New Ideology: "Industrial Policy"

A bstract . A crisis is afflicting traditional liberal economists. The crisis policy devised by John Maynard (Lord) Keynes , which seemed to work well during World War II and in postwar reconstruction, met its nadir in 1975. Contrary to Keynesian theory, formalized in the Phillips Curve argument that inflation and mass unemployment are mutual trade offs, double digit inflation and record unemployment made further deficit spending an impossible policy. Some Keynesians, switched to a new ideology, "industrial policy" , a form of piecemeal planning likely to eventuate in a new protectionism. Analogous to the supply side economics ideology, industrial policys' adoption by many leading Democrats could drive many Keynesian economists from the Democratic party.     

Testing the Structural Interpretation of the Price Puzzle with a Cost‐Channel Model*

We estimate a variety of small‐scale new‐Keynesian DSGE models with the cost channel to assess their ability to replicate the ‘price puzzle’, i.e. the inflationary impact of a monetary policy shock typically arising in vector autoregression (VAR) analysis. To correctly identify the monetary policy shock, we distinguish between a standard policy rate shifter and a shock to ‘trend inflation’, i.e. the time‐varying inflation target set by the Fed. Our estimated models predict a negative inflation reaction to a monetary policy tightening. We offer a discussion of the possible sources of mismatch between the VAR evidence and our own.     

Expectation horizon and the Phillips Curve: the solution to an empirical puzzle

Estimates of the slope of the Phillips curve reported in the literature cover a range from roughly ? 0.6 to zero depending on specification. Forward‐looking specifications, favored by theory, produce the smallest slope estimates. This paper addresses this puzzle by studying the bivariate process of inflation and unemployment in a fairly general unobserved components framework allowing for stochastic trends and related cycles. Analysis reveals that the slope of the implied Phillips curve will depend critically on the horizon of the forward‐looking inflation expectation provided the cyclical component of unemployment is highly persistent. Empirical analysis results show that is the case, suggesting that the choice of expectation horizon, generally set at one quarter in the New Keynesian literature, may play an important role in this debate. Copyright © 2007 John Wiley & Sons, Ltd.     

Mind the Output Gap: The Disconnect of Growth and Inflation during Recessions and Convex Phillips Curves in the Euro Area

We develop a theoretical model that features a business cycle‐dependent relation between output, price inflation and inflation expectations, augmenting the model by Svensson (1997) with a nonlinear Phillips curve that reflects the rationale underlying the capacity constraint theory (Macklem, 1997). The theoretical model motivates our empirical assessment, based on a regime‐switching Phillips curve and a regime‐switching monetary structural VAR, employing different filter‐based, semi‐structural model‐based and Bayesian factor model‐implied output gaps. The analysis confirms the presence of a convex relationship between inflation and the output gap, meaning that the coefficient in the Phillips curve on the output gap recurringly increases during times of expansion and abates during recessions. Sign‐restricted monetary policy shocks based on a regime‐switching monetary SVAR reveal that expansionary monetary policy induces less pressure on inflation at times of weak as opposed to strong growth; thereby rationalizing relatively stronger expansionary policy, including unconventional volume‐based policy, during times of deep recession. A further augmented model shows that an effective euro exchange rate shock, too, implies business cycle state‐dependent responses, with more upward pressure on prices arising from unexpected currency depreciation at times of expansion than during recession phases.     

Monetary Policy Indeterminacy and Identification Failures in the U.S.: Results from A Robust Test

We propose a novel identification‐robust test for the null hypothesis that an estimated New Keynesian model has a reduced form consistent with the unique stable solution against the alternative of sunspot‐driven multiple equilibria. Our strategy is designed to handle identification failures as well as the misspecification of the relevant propagation mechanisms. We invert a likelihood ratio test for the cross‐equation restrictions (CER) that the New Keynesian system places on its reduced‐form solution under determinacy. If the CER are not rejected, sunspot‐driven expectations can be ruled out from the model equilibrium and we accept the structural model. Otherwise, we move to a second‐step and invert an Anderson and Rubin‐type test for the orthogonality restrictions (OR) implied by the system of structural Euler equations. The hypothesis of indeterminacy and the structural model are accepted if the OR are not rejected. We investigate the finite‐sample performance of the suggested identification‐robust two‐step testing strategy by some Monte Carlo experiments and then apply it to a New Keynesian AD/AS model estimated with actual US data. In spite of some evidence of weak identification as for the ‘Great Moderation’ period, our results offer formal support to the hypothesis of a switch from indeterminacy to a scenario consistent with uniqueness occurring in the late 1970s. Our identification‐robust full‐information confidence set for the structural parameters computed on the ‘Great Moderation’ regime turns out to be more precise than the intervals previously reported in the literature through ‘limited‐information’ methods. Copyright © 2014 John Wiley & Sons, Ltd.