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A simple check for VAR representations of DSGE models

Author

Listed:
  • Massimo Franchi

    ("Sapienza" Universita' di Roma)

  • Anna Vidotto

    (Universita' di Roma "Tor Vergata")

Abstract

The present paper shows that there is a simple way to check whether a DSGE model can be represented by a finite order VAR. This consists in verifying that the eigenvalues of a certain matrix defined in Fernandez-Villaverde et al. (2007) are all equal to zero. Further we show that this condition is equivalent to the one in Ravenna (2007), which is, however, not easily applicable.

Suggested Citation

  • 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.
    • Handle: RePEc:sas:wpaper:20125
    as

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    File URL: http://www.dss.uniroma1.it/RePec/sas/wpaper/20125_Franchi_Vidotto.pdf
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    References listed on IDEAS

    as
    1. Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez & Thomas J. Sargent & Mark W. Watson, 2007. "ABCs (and Ds) of Understanding VARs," American Economic Review, American Economic Association, vol. 97(3), pages 1021-1026, June.
    2. Kapetanios, G. & Pagan, A. & Scott, A., 2007. "Making a match: Combining theory and evidence in policy-oriented macroeconomic modeling," Journal of Econometrics, Elsevier, vol. 136(2), pages 565-594, February.
    3. Lippi, Marco & Reichlin, Lucrezia, 1994. "VAR analysis, nonfundamental representations, blaschke matrices," Journal of Econometrics, Elsevier, vol. 63(1), pages 307-325, July.
    4. Ravenna, Federico, 2007. "Vector autoregressions and reduced form representations of DSGE models," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2048-2064, October.
    5. 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.
    6. 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.
    7. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    8. Massimo Franchi & Paolo Paruolo, 2012. "On ABCs (and Ds) of VAR representations of DSGE models," Working Paper series 56_12, Rimini Centre for Economic Analysis, revised Aug 2012.
    9. Olivier Blanchard & Roberto Perotti, 2002. "An Empirical Characterization of the Dynamic Effects of Changes in Government Spending and Taxes on Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1329-1368.
    10. Marimon, Ramon & Scott, Andrew (ed.), 1999. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780198294979, Decembrie.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    DSGE; VAR; invertibility; non-fundamentalness.;
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