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

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

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,Sigma) determines a vector autoregression for observables available to an econometrician. We review circumstances under 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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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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