On the Statistical Identification of DSGE Models

Dynamic Stochastic General Equilibrium (DSGE) models are now considered attractive by the profession not only from the theoretical perspective but also from an empirical standpoint. As a consequence of this development, methods for diagnosing the fit of these models are being proposed and implemented. In this article we illustrate how the concept of statistical identification, that was introduced and used by Spanos(1990) to criticize traditional evaluation methods of Cowles Commission models, could be relevant for DSGE models. We conclude that the recently proposed model evaluation method, based on the DSGE-VAR(e), might not satisfy the condition for statistical identification. However, our application also shows that the adoption of a FAVAR as a statistically identified benchmark leaves unaltered the support of the data for the DSGE model and that a DSGE-FAVAR can be an optimal forecasting model.

[1]  J. Bai,et al.  Determining the Number of Factors in Approximate Factor Models , 2000 .

[2]  Leslie Godfrey.  Misspecification Tests in Econometrics: The Lagrange Multiplier Principle and Other Approaches , 1988 .

[3]  A. Gelfand,et al.  Bayesian Model Choice: Asymptotics and Exact Calculations , 1994 .

[4]  Carlo Giannini,et al.  Topics in structural VAR econometrics , 1992 .

[5]  Allan H. Meltzer,et al.  The Phillips curve and labor markets , 1976 .

[6]  M. Pesaran,et al.  Infinite Dimensional VARs and Factor Models , 2009, SSRN Electronic Journal.

[7]  Jonathan H. Wright,et al.  Forecasting Inflation , 2011 .

[8]  Jean Boivin,et al.  Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach , 2003 .

[9]  J. Stock,et al.  Macroeconomic Forecasting Using Diffusion Indexes , 2002 .

[10]  Fabio Canova,et al.  Back to Square One: Identification Issues in DSGE Models , 2009, SSRN Electronic Journal.

[11]  Christopher A. Sims,et al.  Macroeconomics and Methodology , 1996 .

[12]  David V. Pritchett.  Econometric policy evaluation: A critique , 1976 .

[13]  C. Sims.  Solving Linear Rational Expectations Models , 2002 .

[14]  Lawrence J. Christiano,et al.  Monetary Policy Shocks: What Have We Learned and to What End? , 1998 .

[15]  Jean Boivin,et al.  Monetary Policy in a Data-Rich Environment , 2001 .

[16]  H. White.  A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

[17]  H. Theil.  Introduction to econometrics , 1978 .

[18]  R. Engle,et al.  Multivariate Simultaneous Generalized ARCH , 1995, Econometric Theory.

[19]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[20]  Marco Del Negro,et al.  How Good Is What You ’ ve Got ? DGSE-VAR as a Toolkit for Evaluating DSGE Models , 2006 .

[21]  C. Sims.  MACROECONOMICS AND REALITY , 1977 .

[22]  Jean Boivin,et al.  DSGE Models in a Data-Rich Environment , 2006 .

[23]  John Geweke,et al.  Federal Reserve Bank of Minneapolis Research Department Staff Report 249 Using Simulation Methods for Bayesian Econometric Models: Inference, Development, and Communication , 2022 .

[24]  R. L. Basmann.  On Finite Sample Distributions of Generalized Classical Linear Identifiability Test Statistics , 1960 .

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

[26]  Giorgio E. Primiceri,et al.  The Time Varying Volatility of Macroeconomic Fluctuations , 2006 .

[27]  T. Sargent,et al.  ABCs (and Ds) of Understanding VARs , 2007 .

[28]  F. Smets,et al.  An estimated dynamic stochastic general equilibrium model of the euro area. NBB Working Paper Nr. 35 , 2002 .

[29]  Mark W. Watson.  Introduction to econometrics. , 1968 .

[30]  M. Hallin,et al.  The Generalized Dynamic-Factor Model: Identification and Estimation , 2000, Review of Economics and Statistics.

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

[32]  Lawrence J. Christiano,et al.  Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy , 2001, Journal of Political Economy.

[33]  Frank Schorfheide,et al.  Priors from General Equilibrium Models for Vars , 2002 .

[34]  J. Galí,et al.  Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory , 1998 .

[35]  Lucrezia Reichlin,et al.  Dynamic common factors in large cross-sections , 1996 .

[36]  Jonathan H. Wright,et al.  Forecasting In ation , 2011 .

[37]  T. Sargent,et al.  Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S. , 2003 .

[38]  Lucrezia Reichlin,et al.  Dynamic common factors in large cross-sections , 1996 .

[39]  Marco Lippi,et al.  The Generalized Factor Model: Identification and Estimation , 2000 .

[40]  C. Sims.  Interpreting the macroeconomic time series facts: The effects of monetary policy☆ , 1992 .

[41]  T. Sargent,et al.  Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S. , 2005 .

[42]  Marco Lippi,et al.  Reference cycles: the NBER methodology revisited , 2000 .

[43]  Lucrezia Reichlin,et al.  Let's Get Real: A Factor Analytical Approach to Disaggregated Business Cycle Dynamics , 1998 .

[44]  Aris Spanos,et al.  The simultaneous-equations model revisited: Statistical adequacy and identification , 1990 .

[45]  J. Stock,et al.  Diffusion Indexes , 1998 .

[46]  Federico Ravenna.  Vector Autoregressions and Reduced Form Representations of DSGE Models , 2006 .

[47]  Frank Smets,et al.  An Estimated Stochastic Dynamic General Equilibrium Model of the Euro Area , 2002, SSRN Electronic Journal.

[48]  C. Sims,et al.  Bayesian methods for dynamic multivariate models , 1998 .

[49]  D. Giannone,et al.  Explaining the Great Moderation: It is Not the Shocks , 2008 .

[50]  C. Sims,et al.  Were There Regime Switches in U.S. Monetary Policy? , 2004 .

[51]  Giorgio E. Primiceri.  Time Varying Structural Vector Autoregressions and Monetary Policy , 2002 .

[52]  Frank Schorfheide,et al.  Bayesian Analysis of DSGE Models , 2005 .

[53]  Anil K. Bera,et al.  Efficient tests for normality, homoscedasticity and serial independence of regression residuals , 1980 .

[54]  Lucrezia Reichlin,et al.  Let's Get Real: A Dynamic Factor Analytical Approach to Disaggregated Business Cycle , 1995 .

[55]  Rajeev Dhawan,et al.  How Resilient Is the Modern Economy to Energy Price Shocks , 2006 .

[56]  Frank Schorfheide,et al.  Loss function‐based evaluation of DSGE models , 2000 .

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

[58]  Jesús Fernández-Villaverde,et al.  How Structural are Structural Parameters? , 2007 .