The econometrics of DSGE models

In this paper, I review the literature on the formulation and estimation of dynamic stochastic general equilibrium (DSGE) models with a special emphasis on Bayesian methods. First, I discuss the evolution of DSGE models over the last couple of decades. Second, I explain why the profession has decided to estimate these models using Bayesian methods. Third, I briefly introduce some of the techniques required to compute and estimate these models. Fourth, I illustrate the techniques under consideration by estimating a benchmark DSGE model with real and nominal rigidities. I conclude by offering some pointers for future research.

[1]  Charles I. Plosser,et al.  Stochastic Trends and Economic Fluctuations , 1987 .

[2]  B. Bernanke,et al.  The Financial Accelerator in a Quantitative Business Cycle Framework , 1998 .

[3]  Andrew Caplin,et al.  State-Dependent Pricing and the Dynamics of Money and Output , 1991 .

[4]  K. Geert Rouwenhorst,et al.  Asset Pricing Implications of Equilibrium Business Cycle Models , 1995 .

[5]  Lars Peter Hansen,et al.  Intertemporal Substitution and Risk Aversion , 2007 .

[6]  Jonas D. M. Fisher The Dynamic Effects of Neutral and Investment‐Specific Technology Shocks , 2006, Journal of Political Economy.

[7]  Pablo Burriel,et al.  Do Decreasing Hazard Functions for Price Changes Make Any Sense? , 2005, SSRN Electronic Journal.

[8]  J. Geweke,et al.  Bayesian Treatment of the Independent Student- t Linear Model , 1993 .

[9]  L. Hansen,et al.  Implications of Security Market Data for Models of Dynamic Economies , 1990, Journal of Political Economy.

[10]  Xiaohong Chen,et al.  Land of Addicts? An Empirical Investigation of Habit-Based Asset Pricing Models , 2004 .

[11]  Pablo A. Guerrón-Quintana,et al.  What You Match Does Matter: The Effects of Data on DSGE Estimation , 2007 .

[12]  J. Geweke,et al.  Priors for Macroeconomic Time Series and Their Application , 1994, Econometric Theory.

[13]  Harald Uhlig,et al.  Understanding unit rooters: a helicopter tour , 1991 .

[14]  Nancy L. Stokey,et al.  Recursive methods in economic dynamics , 1989 .

[15]  Isabel Correia,et al.  Business cycles in a small open economy , 1995 .

[16]  V. Chernozhukov,et al.  An MCMC Approach to Classical Estimation , 2002, 2301.07782.

[17]  N. Mankiw,et al.  Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve , 2001 .

[18]  Javier Andrés,et al.  Bemod: A DSGE Model for the Spanish Economy and the Rest of the Euro Area , 2006 .

[19]  H. Kunsch Recursive Monte Carlo filters: Algorithms and theoretical analysis , 2006, math/0602211.

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

[21]  M. Friedman,et al.  A Monetary History of the United States , 1963 .

[22]  Ricardo J. Caballero,et al.  Explaining Investment Dynamics in U.S. Manufacturing: A Generalized (S,S) Approach , 1994 .

[23]  Boyan Jovanovic,et al.  Observable Implications of Models with Multiple Equilibria , 1989 .

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

[25]  John Y. Campbell,et al.  Consumption-Based Asset Pricing , 2002 .

[26]  D. Pollard,et al.  Simulation and the Asymptotics of Optimization Estimators , 1989 .

[27]  M. Sobel,et al.  Identification Problems in the Social Sciences , 1996 .

[28]  D. Freedman On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case , 1963 .

[29]  김형석 Asset Pricing Implications of Equilibrium Business Cycle Models : Operating Leverage Redux , 2011 .

[30]  Hervé Le Bihan,et al.  Price Changes in the Euro Area and the United States: Some Facts from Individual Consumer Price Data , 2006 .

[31]  Luca Guerrieri,et al.  Sigma: A New Open Economy Model for Policy Analysis , 2005 .

[32]  Lars Peter Hansen,et al.  Seasonality and approximation errors in rational expectations models , 1993 .

[33]  E. Stacchetti,et al.  Towards a Theory of Discounted Repeated Games with Imperfect Monitoring , 1990 .

[34]  H. Künsch Recursive Monte Carlo filters: algorithms and theoretical analysis , 2005 .

[35]  James J. Heckman,et al.  Micro data and general equilibrium models , 1999 .

[36]  Jesús Fernández-Villaverde,et al.  Convergence Properties of the Likelihood of Computed Dynamic Models , 2004 .

[37]  Fabio Canova,et al.  Multiple Filtering Devices for the Estimation of Cyclical DSGE Models , 2009 .

[38]  James J. Heckman,et al.  Chapter 8 Micro data and general equilibrium models , 1999 .

[39]  Charles I. Plosser,et al.  Production, growth and business cycles , 1988 .

[40]  Jesús Fernández-Villaverde,et al.  Comparing Solution Methods for Dynamic Equilibrium Economies , 2003 .

[41]  Russell Cooper,et al.  NBER WORKING PAPER SERIES ESTIMATION AND IDENTIFICATION OF STRUCTURAL PARAMETERS IN THE PRESENCE OF MULTIPLE EQUILIBRIA , 2002 .

[42]  Roger E. A. Farmer,et al.  Indeterminacy and Increasing Returns , 1994 .

[43]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

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

[45]  Jesús Fernández-Villaverde,et al.  Solving DSGE models with perturbation methods and a change of variables , 2006 .

[46]  Daniel F. Waggoner,et al.  Minimal State Variable Solutions to Markov-Switching Rational Expectations Models , 2008 .

[47]  J. Keynes,et al.  The General Theory of Employment, Interest and Money. , 1936 .

[48]  Ricardo J. Caballero,et al.  Explaining Investment Dynamics in U.S. Manufacturing: A Generalized (S,S) Approach , 1994 .

[49]  Larry G. Epstein,et al.  Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis , 1991, Journal of Political Economy.

[50]  Lawrence J. Christiano Linear-Quadratic Approximation and Value-Function Iteration: A Comparison , 1990 .

[51]  Ravi Jagannathan,et al.  Implications of Security Market Data for Models of Dynamic Economies , 1990, Journal of Political Economy.

[52]  Jesús Fernández-Villaverde,et al.  Comparing dynamic equilibrium models to data: a Bayesian approach , 2004 .

[53]  Ian Martin,et al.  On the Welfare Costs of Consumption Uncertainty made this article openly available. Please share how this access benefits you. Your story matters , 2007 .

[54]  Yuichi Kitamura,et al.  An Information-Theoretic Alternative to Generalized Method of Moments Estimation , 1997 .

[55]  Randall Wright,et al.  Homework in Macroeconomics: Household Production and Aggregate Fluctuations , 1991, Journal of Political Economy.

[56]  Kent D. Daniel,et al.  The equity premium puzzle and the risk-free rate puzzle at long horizons , 1996 .

[57]  Ravi Bansal,et al.  Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles , 2000 .

[58]  Kalin Nikolov,et al.  The Bank of England Quarterly Model , 2005 .

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

[60]  Emi Nakamura,et al.  Five Facts about Prices: A Reevaluation of Menu Cost Models , 2008 .

[61]  D. McFadden A Method of Simulated Moments for Estimation of Discrete Response Models Without Numerical Integration , 1989 .

[62]  A. Monfort A Reappraisal of Misspecified Econometric Models , 1996, Econometric Theory.

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

[64]  Enrique G. Mendoza,et al.  Real Business Cycles in a Small Open Economy , 1989 .

[65]  Gary S. Becker,et al.  Habits, Peers, and Happiness: An Evolutionary Perspective , 2007 .

[66]  Robert G. King,et al.  State-Dependent Pricing and the General Equilibrium Dynamics of Money and Output , 1999 .

[67]  Jules H. van Binsbergen,et al.  Working with Epstein-Zin Preferences : Computation and Likelihood Estimation of DSGE Models with Recursive Preferences , 2008 .

[68]  Jonas D. M. Fisher The Dynamic E ff ects of Neutral and Investment-Speci fi c Technology Shocks , 2005 .

[69]  J. Tenenbaum,et al.  Optimal Predictions in Everyday Cognition , 2006, Psychological science.

[70]  Peter J. Klenow,et al.  Reset price inflation and the impact of monetary policy shocks , 2009 .

[71]  Jean-Philippe Laforte,et al.  A comparison of forecast performance between Federal Reserve staff forecasts, simple reduced-form models, and a DSGE model , 2009 .

[72]  Jesús Fernández-Villaverde,et al.  Likelihood Estimation of DSGE Models with Epstein-Zin Preferences , 2008 .

[73]  Kristine L. Bell,et al.  A Tutorial on Particle Filters for Online Nonlinear/NonGaussian Bayesian Tracking , 2007 .

[74]  J. Robins,et al.  Toward a curse of dimensionality appropriate (CODA) asymptotic theory for semi-parametric models. , 1997, Statistics in medicine.

[75]  I. Hernando,et al.  EUROSYSTEM INFLATION PERSISTENCE NETWORK DO DECREASING HAZARD FUNCTIONS FOR PRICE CHANGES MAKE ANY SENSE? 1 , 2005 .

[76]  Christian P. Robert,et al.  MCMC Convergence Diagnostics : A « Reviewww » , 1998 .

[77]  Finn E. Kydland,et al.  Time to Build and Aggregate Fluctuations , 1982 .

[78]  Ricardo Lagos,et al.  A Unified Framework for Monetary Theory and Policy Analysis , 2005 .

[79]  Geoffrey Gregory,et al.  Foundations of Statistical Inference , 1973 .

[80]  Fabio Canova,et al.  Methods for Applied Macroeconomic Research , 2007 .

[81]  Sergio Rebelo,et al.  Production, Growth and Business Cycles: Technical Appendix , 2002 .

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

[83]  Andrew Caplin,et al.  AGGREGATION AND OPTIMIZATION WITH STATE-DEPENDENT PRICING , 1997 .

[84]  G. Imbens,et al.  Nonparametric Applications of Bayesian Inference , 1996 .

[85]  J. Keynes The General Theory of Employment , 1937 .

[86]  V. Chernozhukov,et al.  An MCMC approach to classical estimation , 2003 .

[87]  R. Wolpert,et al.  Likelihood Principle , 2022, The SAGE Encyclopedia of Research Design.

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

[89]  Chenchuramaiah T. Bathala Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles , 2005 .

[90]  Roger E. A. Farmer Aggregate Demand and Supply , 2007 .

[91]  Patrick J. Kehoe,et al.  International Real Business Cycles , 1992, Journal of Political Economy.

[92]  Giuseppe Ragusa,et al.  Bayesian Likelihoods for Moment Condition Models , 2007 .

[93]  Andrew Caplin,et al.  Menu Costs and the Neutrality of Money , 1987 .

[94]  R. Mehra,et al.  THE EQUITY PREMIUM A Puzzle , 1985 .

[95]  Per Krusell,et al.  The Role of Investment-Specific Technological Change in the Business Cycle , 2000 .

[96]  Enrique G. Mendoza,et al.  The Terms of Trade, the Real Exchange Rate, and Economic Fluctuations , 1995 .

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

[98]  David W. Galenson Introduction to Old Masters and Young Geniuses: The Two Life Cycles of Artistic Creativity , 2006 .

[99]  Nando de Freitas,et al.  Sequential Monte Carlo Methods in Practice , 2001, Statistics for Engineering and Information Science.

[100]  H. Barger The General Theory of Employment, Interest and Money , 1936, Nature.

[101]  B. Bernanke,et al.  Chapter 21 The financial accelerator in a quantitative business cycle framework , 1999 .

[102]  Anna J. Schwartz,et al.  A Monetary History of the United States, 1867-1960. , 1964 .

[103]  R. Lucas Expectations and the neutrality of money , 1972 .

[104]  D. Rubin Using the SIR algorithm to simulate posterior distributions , 1988 .

[105]  Peter C. B. Phillips,et al.  Econometric Model Determination , 1996 .

[106]  Edward L. Glaeser,et al.  Work and Leisure in the U.S. And Europe: Why so Different? , 2005 .

[107]  J. Keynes,et al.  The General Theory of Employment, Interest and Money. , 1936 .

[108]  Jesús Fernández-Villaverde,et al.  Estimating Dynamic Equilibrium Economies: Linear Versus Nonlinear Likelihood , 2004 .

[109]  G. Calvo Staggered prices in a utility-maximizing framework , 1983 .

[110]  Susanne M. Schennach,et al.  Bayesian exponentially tilted empirical likelihood , 2005 .

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

[112]  A. Gelman,et al.  Weak convergence and optimal scaling of random walk Metropolis algorithms , 1997 .

[113]  Jae-Young Kim,et al.  Large Sample Properties of Posterior Densities, Bayesian Information Criterion and the Likelihood Principle in Nonstationary Time Series Models , 1998 .

[114]  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 .

[115]  J. Heckman,et al.  A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data , 1984 .

[116]  T. Lubik,et al.  Testing for Indeterminacy : An Application to U . S . Monetary Policy : Comment , 2011 .

[117]  Olivier J. Blanchard,et al.  Monopolistic Competition and the Effects of Aggregate Demand , 1987 .

[118]  Fabio Canova,et al.  Bridging cyclical DSGE models and the raw data , 2008 .

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

[120]  Neil Wallace,et al.  Whither Monetary Economics , 2001 .

[121]  Jesús Fernández-Villaverde,et al.  The New Macroeconometrics : A Bayesian Approach , 2008 .

[122]  Bryan R. Routledge,et al.  Exotic Preferences for Macroeconomists , 2004, NBER Macroeconomics Annual.

[123]  Stephen Murchison,et al.  ToTEM: The Bank of Canada's New Quarterly Projection Model , 2006 .

[124]  J. Rissanen Stochastic Complexity and Modeling , 1986 .

[125]  A. Birnbaum On the Foundations of Statistical Inference , 1962 .

[126]  A. Zellner Optimal Information Processing and Bayes's Theorem , 1988 .

[127]  Chang‐Jin Kim,et al.  Has the U.S. Economy Become More Stable? A Bayesian Approach Based on a Markov-Switching Model of the Business Cycle , 1999, Review of Economics and Statistics.

[128]  Per Krusell,et al.  Long-Run Implications of Investment-Specific Technological Change , 1995 .

[129]  Russell Cooper,et al.  On the Nature of Capital Adjustment Costs , 2000 .

[130]  Peter J. Klenow,et al.  Some Evidence on the Importance of Sticky Prices , 2004 .

[131]  Patrick J. Kehoe,et al.  International Business Cycles: Theory and Evidence , 1993 .

[132]  Athanasios Orphanides Monetary Policy Rules and the Great Inflation , 2002 .

[133]  Mattias Villani,et al.  Bayesian Estimation of an Open Economy DSGE Model with Incomplete Pass-Through , 2006 .

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

[135]  M. Sobel,et al.  Identification Problems in the Social Sciences. , 1996 .

[136]  Peter C. B. Phillips,et al.  An Asymptotic Theory of Bayesian Inference for Time Series , 1996 .

[137]  Robert F. Stengel,et al.  Optimal Control and Estimation , 1994 .

[138]  F. Smets,et al.  Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach , 2007 .

[139]  Sy-Ming Guu,et al.  Perturbation Solution Methods for Economic Growth Models , 1993 .

[140]  Charles I. Plosser,et al.  Growth and Business Cycles I. The Basic Neoclassical Model , 1988 .

[141]  K. Judd Numerical methods in economics , 1998 .

[142]  Daniel F. Waggoner,et al.  FEDERAL RESERVE BANK o f ATLANTA WORKING PAPER SERIES Indeterminacy in a Forward-Looking Regime-Switching Model , 2007 .

[143]  Rendigs Fels,et al.  A Monetary History of the United States, 1867-1960. , 1964 .

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

[145]  Andrew Harvey,et al.  Forecasting, Structural Time Series Models and the Kalman Filter , 1990 .

[146]  Xiaotong Shen,et al.  Empirical Likelihood , 2002 .

[147]  Frank Schorfheide,et al.  Staff Reports Forming Priors for DSGE Models ( and How It Affects the Assessment of Nominal Rigidities ) , 2008 .

[148]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[149]  ALGORITHMSG,et al.  WEAK CONVERGENCE AND OPTIMAL SCALINGOF RANDOM WALK METROPOLIS , 1994 .

[150]  Mika Kortelainen Edge: A model of the euro area with applications to monetary policy , 2002 .

[151]  Bo E. Honoré,et al.  Panel Data Discrete Choice Models with Lagged Dependent Variables , 2000 .

[152]  Robert E. Hall,et al.  Macroeconomic Fluctuations and the Allocation of Time , 1997, Journal of Labor Economics.

[153]  C. Sims Implications of rational inattention , 2003 .

[154]  Larry G. Epstein,et al.  Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework , 1989 .

[155]  R. Barro,et al.  On the Welfare Costs of Consumption Uncertainty , 2006 .

[156]  Lars Peter Hansen,et al.  Chapter 61 Intertemporal Substitution and Risk Aversion , 2007 .

[157]  Gabriel Perez-Quiros,et al.  Output Fluctuations in the United States: What Has Changed Since the Early 1980s? , 1998 .

[158]  Christian P. Robert,et al.  The Bayesian choice , 1994 .