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Vector autoregressions and reduced form representations of DSGE models

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Federico Ravenna () (University of California)

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Abstract

Dynamic Stochastic General Equilibrium models are often tested against empirical VARs or estimated by minimizing the distance between the model's and the VAR impulse response functions. These methodologies require that the data-generating process consistent with the DSGE theoretical model has a VAR representation. This paper discusses the assumptions needed for a finite-order VAR(p) representation of any subset of a DSGE model variables to exist. When a VAR(p) is only an approximation to the true VAR, the paper shows that the truncated VAR(p) may return largely incorrect estimates of the impulse response function. The results do not hinge on an incorrect identification strategy or on small sample bias. But the bias introduced by truncation can lead to bias in the identification of the structural shocks. Identification strategies that are equivalent in the true VAR representation perform differently in the approximating VAR.

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File URL: http://www.bde.es/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/06/Fic/dt0619e.pdf
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Paper provided by Banco de España in its series Banco de España Working Papers with number 0619.

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Length: 35 pages
Date of creation: Aug 2006
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Handle: RePEc:bde:wpaper:0619

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Related research
Keywords: vector autoregression; dynamic stochastic general equilibrium model; business cycle shocks;

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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  2. Jesus Fernandez-Villaverde & Juan Rubio-Ramirez & Thomas J. Sargent, 2005. "A, B, C's (and D)'s for Understanding VARs," NBER Technical Working Papers 0308, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-73, September. [Downloadable!] (restricted)
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  4. Fabio Canova & Joaquim Pires Pina, 1998. "Monetary Policy Misspecification in VAR Models," Economics Working Papers 420, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 1999. [Downloadable!]
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  5. Wallis, Kenneth F, 1977. "Multiple Time Series Analysis and the Final Form of Econometric Models," Econometrica, Econometric Society, vol. 45(6), pages 1481-97, September. [Downloadable!] (restricted)
  6. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2007. "Are structural VARs with long-run restrictions useful in developing business cycle theory?," Staff Report 364, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  7. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341. [Downloadable!] (restricted)
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  9. Pau Rabanal & Jordi Galí, 2005. "Technology Shocks and Aggregate Fluctuations: How Well Does the RBC Model Fit Postwar U.S. Data?," IMF Working Papers 04/234, International Monetary Fund. [Downloadable!]
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  10. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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  11. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November. [Downloadable!] (restricted)
  12. Rabanal, Pau & Rubio-Ramirez, Juan F., 2005. "Comparing New Keynesian models of the business cycle: A Bayesian approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1151-1166, September. [Downloadable!] (restricted)
  13. John H. Cochrane, 1995. "What do the VARs Mean?: Measuring the Output Effects of Monetary Policy," NBER Working Papers 5154, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. Cooley, Thomas F. & Dwyer, Mark, 1998. "Business cycle analysis without much theory A look at structural VARs," Journal of Econometrics, Elsevier, vol. 83(1-2), pages 57-88. [Downloadable!] (restricted)
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  1. repec:bep:mactop:v:7:y:2007:i:1:p:1543-1543 is not listed on IDEAS
  2. Gianluca, MORETTI & Giulio, NICOLETTI, 2008. "Estimating DGSE models with long memory dynamics," Discussion Papers (ECON - Département des Sciences Economiques) 2008037, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
  3. Marco Del Negro & Frank Schorfheide, 2008. "Inflation dynamics in a small open-economy model under inflation targeting: some evidence from Chile," Staff Reports 329, Federal Reserve Bank of New York. [Downloadable!]
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