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A,B,C's (and D's)'s for Understanding VARS

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  • Jesús Fernández-Villaverde
  • Juan F. Rubio-Ramirez
  • Thomas J. Sargent

Abstract

The dynamics of a linear (or linearized) dynamic stochastic economic model can be expressed in terms of matrices (A, B, C, D) that define a state-space system. An associated state space system (A, K, C, S) determines a vector autoregression (VAR) for observables available to an econometrician. We review circumstances in which the impulse response of the VAR resembles the impulse response associated with the economic model. We give four examples that illustrate a simple condition for checking whether the mapping from VAR shocks to economic shocks is invertible. The condition applies when there are equal numbers of VAR and economic shocks.

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File URL: http://www.econ.upenn.edu/~jesusfv/ABCD_for_vars.pdf
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Bibliographic Info

Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 172782000000000096.

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Date of creation: 05 Apr 2005
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Handle: RePEc:cla:levrem:172782000000000096

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  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.
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  19. Marco Lippi & Lucrezia Reichlin, 1994. "VAR analysis, non-fundamental representations, Blashke matrices," ULB Institutional Repository 2013/10151, ULB -- Universite Libre de Bruxelles.
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  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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  1. Advanced Monetary Theory and Policy (ECON 447)

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