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Matching Theory and Data: Bayesian Vector Autoregression and Dynamic Stochastic General Equilibrium Models

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  • Alexander Kriwoluzky

Abstract

This paper shows how to identify the structural shocks of a Vector Autore- gression (VAR) while at the same time estimating a dynamic stochastic general equilibrium (DSGE) model that is not assumed to replicate the data generating process. It proposes a framework to estimate the parameters of the VAR model and the DSGE model jointly: the VAR model is identified by sign restrictions derived from the DSGE model; the DSGE model is estimated by matching the corresponding impulse response functions.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2008-060.pdf
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Bibliographic Info

Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2008-060.

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Length: 32 pages
Date of creation: Sep 2008
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2008-060

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Keywords: Bayesian Model Estimation; Vector Autoregression; Identification.;

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References

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  3. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148 Elsevier.
  4. Markku Lanne & Helmut Luetkepohl, 2005. "Structural Vector Autoregressions with Nonnormal Residuals," Economics Working Papers ECO2005/25, European University Institute.
  5. Frank Smets & Raf Wouters, 2007. "Shocks and Frictions in US Business Cycles : a Bayesian DSGE Approach," Working Paper Research 109, National Bank of Belgium.
  6. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
  7. Mertens, Karel & Ravn, Morten O., 2008. "The Aggregate Effects of Anticipated and Unanticipated U.S. Tax Policy Shocks: Theory and Empirical Evidence," CEPR Discussion Papers 6673, C.E.P.R. Discussion Papers.
  8. Uhlig, Harald, 1999. "What are the Effects of Monetary Policy on Output? Results from an Agnostic Identification Procedure," CEPR Discussion Papers 2137, C.E.P.R. Discussion Papers.
  9. Troy Davig & Eric M. Leeper, 2007. "Fluctuating Macro Policies and the Fiscal Theory," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 247-316 National Bureau of Economic Research, Inc.
  10. Fabio Canova & Luca Sala, 2006. "Back to square one: identification issues in DSGE models," Computing in Economics and Finance 2006 196, Society for Computational Economics.
  11. Ravn, Morten O. & Schmitt-Grohé, Stephanie & Uribe, Martín, 2007. "Explaining the Effects of Government Spending Shocks on Consumption and the Real Exchange Rate," CEPR Discussion Papers 6541, C.E.P.R. Discussion Papers.
  12. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, 09.
  13. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
  14. Ravn, Morten O. & Schmitt-Grohé, Stephanie & Uribe, Martín & Uusküla, Lenno, 2009. "Deep Habits and the Dynamic Effects of Monetary Policy Shocks," CEPR Discussion Papers 7128, C.E.P.R. Discussion Papers.
  15. Timothy Cogley & James M. Nason, 1993. "Output dynamics in real business cycle models," Working Papers in Applied Economic Theory 93-10, Federal Reserve Bank of San Francisco.
  16. Lanne, Markku & Lütkepohl, Helmut & Maciejowska, Katarzyna, 2010. "Structural vector autoregressions with Markov switching," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 121-131, February.
  17. Markku Lanne & Helmut Lütkepohl, 2008. "Identifying Monetary Policy Shocks via Changes in Volatility," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(6), pages 1131-1149, 09.
  18. Marco Del Negro & Frank Schorfheide, 2002. "Priors from general equilibrium models for VARs," Working Paper 2002-14, Federal Reserve Bank of Atlanta.
  19. Andreas Beyer & Roger E.A. Farmer, 2006. "Identification Problems in SDGE Models with an illustration to a small Macro model," Computing in Economics and Finance 2006 81, Society for Computational Economics.
  20. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
  21. Juan F. Rubio-Ramirez & Daniel Waggoner & Tao Zha, 2006. "Markov-Switching Structural Vector Autoregressions: Theory and Application," Computing in Economics and Finance 2006 69, Society for Computational Economics.
  22. Jon Faust, 1998. "The robustness of identified VAR conclusions about money," International Finance Discussion Papers 610, Board of Governors of the Federal Reserve System (U.S.).
  23. Roberto Rigobon, 2003. "Identification Through Heteroskedasticity," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 777-792, November.
  24. Harald Uhlig, 1997. "Bayesian Vector Autoregressions with Stochastic Volatility," Econometrica, Econometric Society, vol. 65(1), pages 59-74, January.
  25. Smith, A A, Jr, 1993. "Estimating Nonlinear Time-Series Models Using Simulated Vector Autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S63-84, Suppl. De.
  26. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
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Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Matching Theory and Data: Bayesian Vector Autoregression and Dynamic Stochastic General Equilibrium Models
    by Christian Zimmermann in NEP-DGE blog on 2009-09-27 01:45:04
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Cited by:
  1. Alexander Kriwoluzky, 2009. "Pre-announcement and Timing - The Effects of a Government Expenditure Shock," Economics Working Papers ECO2009/40, European University Institute.

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