Work

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

Year: 2005
Type: report
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.
Language: English
Open Access status: green
OpenAlex ID: W2148287167
Cites: 37
Cited by: 126
Related to: 10