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Markov-Switching Structural Vector Autoregressions: Theory and Application

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Author Info
Juan F. Rubio-Ramirez (Federal Reserve Bank of Atlanta)
Daniel Waggoner (Federal Reserve Bank of Atlanta)
Tao Zha (Federal Reserve Bank of Atlanta)

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Abstract

This paper develops a new and easily implementable necessary and sufficient condition for the exact identification of a Markov-switching SVAR model. The theorem applies to models with both linear and some nonlinear restrictions on the structural parameters. We also derive efficient MCMC algorithms to implement sign and long-run restrictions in Markov-switching SVARs. Using our methods, four well-known identification schemes are used to study whether monetary policy has changed in the euro area since the introduction of the European Monetary Union. We find that models restricted to only time-varying shock variances dominate other models. We find a persistent post-1993 regime that is associated with low volatility of shocks to output, prices, and interest rates. Finally, the output effects of monetary policy shocks are small and uncertain across regimes and models. These results are robust to the four identification schemes studied in this paper

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Publisher Info
Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2006 with number 69.

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Date of creation: 04 Jul 2006
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Handle: RePEc:sce:scecfa:69

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  2. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May. [Downloadable!] (restricted)
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  3. Ben S. Bernanke & Ilian Mihov, 1998. "Measuring Monetary Policy," The Quarterly Journal of Economics, MIT Press, vol. 113(3), pages 869-902, August. [Downloadable!] (restricted)
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  4. Alessandro Rebucci, 2003. "Measuring Contagion With A Bayesian Time-Varying Coefficient Model," Working Papers. Serie AD 2003-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  5. Harald Uhlig, 1997. "Bayesian Vector Autoregressions with Stochastic Volatility," Econometrica, Econometric Society, vol. 65(1), pages 59-74, January.
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  6. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  7. James H. Stock & Mark W. Watson, 2003. "Has the business cycle changed?," Proceedings, Federal Reserve Bank of Kansas City, pages 9-56. [Downloadable!]
  8. Christopher A. Sims & Tao Zha, 1999. "Error Bands for Impulse Responses," Econometrica, Econometric Society, vol. 67(5), pages 1113-1156, September.
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  9. Waggoner, Daniel F. & Zha, Tao, 2003. "A Gibbs sampler for structural vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 349-366, November. [Downloadable!] (restricted)
  10. Gali, Jordi, 1992. "How Well Does the IS-LM Model Fit Postwar U.S. Data," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 709-38, May. [Downloadable!] (restricted)
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  12. Canova, Fabio & Nicolo, Gianni De, 2002. "Monetary disturbances matter for business fluctuations in the G-7," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1131-1159, September. [Downloadable!] (restricted)
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  13. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February. [Downloadable!] (restricted)
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  14. Jean Boivin & Marc P. Giannoni, 2003. "Has Monetary Policy Become More Effective?," NBER Working Papers 9459, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  15. Gabe de Bondt, 2002. "Retail bank interest rate pass-through: new evidence at the Euro area level," Working Paper Series 136, European Central Bank. [Downloadable!]
  16. Ignazio Angeloni & Michael Ehrmann, 2003. "Monetary policy transmission in the euro area: any changes after EMU?," Working Paper Series 240, European Central Bank. [Downloadable!]
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  20. Gordon, David B & Leeper, Eric M, 1994. "The Dynamic Impacts of Monetary Policy: An Exercise in Tentative Identification," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1228-47, December. [Downloadable!] (restricted)
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  21. Gabriel Fagan & Jérôme Henry & Ricardo Mestre, 2001. "An area-wide model (AWM) for the euro area," Working Paper Series 42, European Central Bank. [Downloadable!]
  22. Thomas Sargent & Noah Williams & Tao Zha, 2004. "Shocks and Government Beliefs: The Rise and Fall of American Inflation," NBER Working Papers 10764, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  23. Stock, James H & Watson, Mark W, 1996. "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 11-30, January.
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  24. Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2006. "Estimating Macroeconomic Models: A Likelihood Approach," Levine's Bibliography 122247000000000849, UCLA Department of Economics. [Downloadable!]
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  25. Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-91, May. [Downloadable!] (restricted)
  26. Christiano, Lawrence J & Eichenbaum, Martin & Evans, Charles, 1996. "The Effects of Monetary Policy Shocks: Evidence from the Flow of Funds," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 16-34, February. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Massimiliano Serati & Gianni Amisano, 2008. "Building composite leading indexes in a dynamic factor model framework: a new proposal," LIUC Papers in Economics 212, Cattaneo University (LIUC). [Downloadable!]
  2. Shigeru Fujita, 2009. "Dynamics of worker flows and vacancies: evidence from the sign restriction approach," Working Papers 07-12, Federal Reserve Bank of Philadelphia. [Downloadable!]
  3. Massimiliano Serati, 2008. "Trade and quality: theoretical and empirical evidence for the euro zone," LIUC Papers in Economics 206, Cattaneo University (LIUC). [Downloadable!]
  4. repec:bep:mactop:v:7:y:2007:i:1:p:1543-1543 is not listed on IDEAS
  5. Alexander Kriwoluzky, 2008. "Matching Theory and Data: Bayesian Vector Autoregression and Dynamic Stochastic General Equilibrium Models," SFB 649 Discussion Papers SFB649DP2008-060, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  6. Francesco Lippi & Andrea Nobili, 2009. "Oil and the macroeconomy: a quantitative structural analysis," Temi di discussione (Economic working papers) 704, Bank of Italy, Economic Research Department. [Downloadable!]
  7. Renee Fry & Adrian Pagan, 2007. "Some Issues in Using Sign Restrictions for Identifying Structural VARs," NCER Working Paper Series 14, National Centre for Econometric Research. [Downloadable!]
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