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American Economic Review: Vol. 97 No. 3 (June 2007)
AER Volume. 97, Issue 3 | 
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ABCs (and Ds) of Understanding VARs
Article Citation
Fernández-Villaverde, Jesús,
Juan F. Rubio-Ramírez,
Thomas J. Sargent, and
Mark W. Watson. 2007. "ABCs (and Ds) of Understanding VARs."
American Economic Review,
97(3): 1021-1026.
DOI: 10.1257/aer.97.3.1021
DOI: 10.1257/aer.97.3.1021
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 for a vector of observables. An associated state space system (A,ˆB,C,ˆD) determines a vector autoregression for those same observables. We present a simple condition for checking when these two state space systems match up and when they do not when there are equal numbers of economic and VAR shocks. We illustrate our condition with a permanent income example. (JEL C32, E32)
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Authors
Fernández-Villaverde, Jesús
Rubio-Ramírez, Juan F.
Sargent, Thomas J.
Watson, Mark W.
Rubio-Ramírez, Juan F.
Sargent, Thomas J.
Watson, Mark W.
