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On ABCs (and Ds) of VAR representations of DSGE models

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  • Massimo Franchi

    ()
    (University of Rome "La Sapienza", Italy)

  • Paolo Paruolo

    ()
    (University of Insubria, Italy)

Abstract

This paper shows that the poor man's invertibility condition in Fernández-Villaverde et al. (2007) is, in general, sufficient but not necessary for fundamentalness; that is, a violation of this condition does not necessarily imply the impossibility of recovering the structural shocks of a DSGE via a VAR. The permanent income model in Fernández-Villaverde et al. (2007) is used to illustrate this fact. A necessary and sufficient condition for fundamentalness is formulated and its relations with the poor man's invertibility condition are discussed.

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Paper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 56_12.

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Date of creation: Jul 2012
Date of revision: Aug 2012
Handle: RePEc:rim:rimwps:56_12

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  1. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
  2. S�ren Johansen, 2009. "Representation of Cointegrated Autoregressive Processes with Application to Fractional Processes," Econometric Reviews, Taylor & Francis Journals, vol. 28(1-3), pages 121-145.
  3. 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.
  4. Federico Ravenna, 2006. "Vector autoregressions and reduced form representations of DSGE models," Banco de Espa�a Working Papers 0619, Banco de Espa�a.
  5. Lawrence J. Christiano & Martin Eichenbaum & Robert Vigfusson, 2006. "Assessing Structural VARs," NBER Working Papers 12353, National Bureau of Economic Research, Inc.
    • Lawrence J. Christiano & Martin Eichenbaum & Robert Vigfusson, 2007. "Assessing Structural VARs," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 1-106 National Bureau of Economic Research, Inc.
  6. Lippi, Marco & Reichlin, Lucrezia, 1994. "VAR analysis, nonfundamental representations, blaschke matrices," Journal of Econometrics, Elsevier, vol. 63(1), pages 307-325, July.
  7. Todd B. Walker & Eric M. Leeper & Shu-Chun S. Yang, 2012. "Fiscal Foresight and Information Flows," IMF Working Papers 12/153, International Monetary Fund.
  8. Christopher Otrok & Andre Kurmann, 2011. "News Shocks and the Term Structure of Interest Rates: A Challenge for DSGE Models," 2011 Meeting Papers 426, Society for Economic Dynamics.
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Cited by:
  1. Massimo Franchi & Anna Vidotto, 2012. "A simple check for VAR representations of DSGE models," DSS Empirical Economics and Econometrics Working Papers Series 2012/5, Centre for Empirical Economics and Econometrics, Department of Statistics, "Sapienza" University of Rome.
  2. Warne, Anders & Coenen, Günter & Christoffel, Kai, 2013. "Predictive likelihood comparisons with DSGE and DSGE-VAR models," Working Paper Series 1536, European Central Bank.

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