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.

[1]  David W. Wilcox,et al.  Estimation and inference in the linear-quadratic inventory model , 1994 .

[2]  Michael P. Clements,et al.  Economic Forecasting: Some Lessons from Recent Research , 2001, SSRN Electronic Journal.

[3]  T. Sargent,et al.  FORMULATING AND ESTIMATING DYNAMIC LINEAR RATIONAL EXPECTATIONS MODELS , 1980 .

[4]  Argia M. Sbordone,et al.  Do Expected Future Marginal Costs Drive Inflation Dynamics? , 2005 .

[5]  Ragnar Nymoen,et al.  The Empirical (ir)Relevance of the New Keynesian Phillips Curve , 2002 .

[6]  T. W. Anderson,et al.  Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations , 1949 .

[7]  Lynda Khalaf,et al.  Estimating New Keynesian Phillips Curves Using Exact Methods , 2004 .

[8]  Robustness of the estimates of the hybrid New Keynesian Phillips curve , 2005 .

[9]  Jean-Marie Dufour,et al.  Inflation dynamics and the New Keynesian Phillips Curve: an identification robust econometric analysis , 2005 .

[10]  Frank Kleibergen,et al.  Testing Parameters in GMM without Assuming that they are identified , 2005 .

[11]  Mark W. Watson,et al.  The post-war U.S. Phillips curve: a revisionist econometric history: response to Evans and McCallum , 1994 .

[12]  K. West,et al.  Asymptotic normality, when regressors have a unit root , 1988 .

[13]  J. Galí,et al.  Notes on Estimating the Closed Form of the Hybrid New Phillips Curve , 2001 .

[14]  John M. Roberts Is inflation sticky , 1997 .

[15]  Peter A. Zadrozny An eigenvalue method of undetermined coefficients for solving linear rational expectations models , 1998 .

[16]  Edward Nelson,et al.  Inflation Dynamics, Marginal Cost, and the Output Gap: Evidence from Three Countries , 2005 .

[17]  M. Hashem Pesaran,et al.  The Limits to Rational Expectations , 1988 .

[18]  Adrian Pagan,et al.  ESTIMATING LINEAR QUADRATIC MODELS WITH INTEGRATED PROCESSES , 1990 .

[19]  Michael Woodford,et al.  Interest and Prices , 2011 .

[20]  J. Lindé Estimating New-Keynesian Phillips curves: A full information maximum likelihood approach☆ , 2005 .

[21]  R. Engle,et al.  COINTEGRATION AND ERROR CORRECTION: REPRESENTATION , 1987 .

[22]  E. Leeper Equilibria under ‘active’ and ‘passive’ monetary and fiscal policies , 1991 .

[23]  Karl Whelan,et al.  New Tests of the New-Keynesian Phillips Curve , 2001 .

[24]  André Kurmann Quantifying the uncertainty about the fit of a new Keynesian pricing model , 2005 .

[25]  Michel Normandin,et al.  Aggregate Employment, Real Business Cycles, and Superior Information , 2002 .

[26]  Lawrence J. Christiano,et al.  Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy , 2005 .

[27]  Scott D. Schuh,et al.  Estimating the linear-quadratic inventory model: maximum likelihood versus generalized method of moments , 1995 .

[28]  Jean-Marie Dufour,et al.  Projection-Based Statistical Inference in Linear Structural Models with Possibly Weak Instruments , 2005 .

[29]  Eric Zivot,et al.  Inference on Structural Parameters In Instrumental Variables Regression With Weak Instruments , 1998 .

[30]  P. Ireland Matlab code for Technology Shocks in the New Keynesian Model , 2002 .

[31]  Patrik Guggenberger,et al.  Generalized Empirical Likelihood Tests in Time Series Models With Potential Identification Failure (joint with R.J.Smith), accepted for publication, Journal of Econometrics , 2005 .

[32]  André Kurmann,et al.  Maximum Likelihood Estimation of Dynamic Stochastic Theories with an Application to New Keynesian Pricing , 2004 .

[33]  Alain Guay,et al.  The New Phillips Curve in Canada , 2003 .

[34]  Karl Whelan,et al.  Can Rational Expectations Sticky-price Models Explain Inflation Dynamics? , 2003 .

[35]  Jeffrey C. Fuhrer Inflation Persistence , 2009 .

[36]  Sophocles Mavroeidis,et al.  Identification Issues in Forward-Looking Models Estimated by GMM, with an Application to the Phillips Curve , 2005 .

[37]  Eric Zivot,et al.  Valid Confidence Intervals and Inference in the Presence of Weak Instruments , 1998 .

[38]  Frank Kleibergen,et al.  Pivotal statistics for testing structural parameters in instrumental variables regression , 2002 .

[39]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[40]  Jonathan H. Wright,et al.  A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments , 2002 .

[41]  Ali H. Sayed,et al.  A survey of spectral factorization methods , 2001, Numer. Linear Algebra Appl..

[42]  T. Sargent The Conquest of American Inflation , 1999 .

[43]  James M. Nason,et al.  FEDERAL RESERVE BANK o f ATLANTA WORKING PAPER SERIES Along the New Keynesian Phillips Curve with Nominal and Real Rigidities , 2022 .

[44]  M. Watson,et al.  Testing Long-Run Neutrality , 1992 .

[45]  John Kennan,et al.  The Estimation of Partial Adjustment Models with Rational Expectations , 1979 .

[46]  Argia M. Sbordone Prices and unit labor costs: a new test of price stickiness $ , 2002 .

[47]  Marco Lippi,et al.  VAR analysis, nonfundamental representations, Blaschke matrices , 1994 .

[48]  John M. Roberts,et al.  New Keynesian Economics and the Phillips Curve , 1995 .

[49]  Robert J. Shiller,et al.  Cointegration and Tests of Present Value Models , 1987, Journal of Political Economy.

[50]  Jean-Marie Dufour,et al.  Identification, Weak Instruments, and Statistical Inference in Econometrics , 2003 .

[51]  Tack Yun,et al.  Nominal price rigidity, money supply endogeneity, and business cycles , 1996 .

[52]  Peter Reinhard Hansen,et al.  Model Confidence Sets for Forecasting Models , 2005 .

[53]  Frank Schorfheide,et al.  Testing for Indeterminacy: An Application to U. S. Monetary Policy , 2002 .

[54]  T. Sargent,et al.  Linear rational expectations models for dynamically interrelated variables , 1980 .

[55]  J. Galí,et al.  Inflation Dynamics: A Structural Econometric Analysis , 1999 .

[56]  D. López-Salido,et al.  Understanding UK Inflation: The Role of Openness , 2002 .

[57]  Jonathan H. Wright,et al.  GMM WITH WEAK IDENTIFICATION , 2000 .

[58]  Sophocles Mavroeidis Weak Identification of Forward-Looking Models in Monetary Economics , 2004 .

[59]  E. Jondeau,et al.  Ml vs GMM Estimates of Hybrid Macroeconomic Models (with an Application to the 'New Phillips Curve') , 2003 .

[60]  Jeffrey C. Fuhrer,et al.  Estimating Forward-Looking Euler Equations with GMM and Maximum Likelihood Estimators : An Optimal Instruments Approach , 2004 .

[61]  R. Farmer,et al.  On the Indeterminacy of New-Keynesian Economics , 2004, SSRN Electronic Journal.

[62]  J. Stock,et al.  Inference with Weak Instruments , 2005 .

[63]  Sveriges Riksbank Estimating New-Keynesian Phillips Curves: A Full Information Maximum Likelihood Approach , 2005 .

[64]  A. Ma GMM estimation of the new Phillips curve , 2002 .