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

Jesus Fernandez-Villaverde, Juan F Rubio-Ramirez and Thomas Sargent

No 308, NBER Technical Working Papers from National Bureau of Economic Research, Inc

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,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.

JEL-codes: C11 C3 E0 (search for similar items in EconPapers)
Date: 2005-06
New Economics Papers: this item is included in nep-mac
Note: TWP
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Citations: View citations in EconPapers (31)

Published as Jesús Fernández-Villaverde, Juan F. Rubio-Ramírez, Thomas J. Sargent, and Mark W. Watson, 2007. "ABCs (and Ds) of Understanding VARs," American Economic Review, vol. 97(3), pages 1021-1026.

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Related works:
Journal Article: ABCs (and Ds) of Understanding VARs (2007)
Working Paper: A,B,C's (and D's)'s for Understanding VARS (2006)
Working Paper: A,B,C's (and D's)'s for Understanding VARS (2005)
Working Paper: A, B, C’s, (and D’s) for understanding VARs (2005)
Working Paper: A, B, C’s (And D’s) For Understanding VARS (2005)
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