Vars, Common Factors and the Empirical Validation of Equilibrium Business Cycle Models
IGIER Working Paper No. 258
24 Pages Posted: 5 May 2004
Date Written: April 2004
Equilibrium business cycle models have typically less shocks than variables. As pointed out by Altug, 1989 and Sargent, 1989, if variables are measured with error, this characteristic implies that the model solution for measured variables has a factor structure. This paper compares estimation performance for the impulse response coefficients based on a VAR approximation to this class of models and an estimation method that explicitly takes into account the restrictions implied by the factor structure. Bias and mean squared error for both factor based and VAR based estimates of impulse response functions are quantified using, as data generating process, a calibrated standard equilibrium business cycle model. We show that, at short horizons, VAR estimates of impulse response functions are less accurate than factor estimates while the two methods perform similarly at medium and long run horizons.
Keywords: Dynamic factor models, structural VARs, identiﬁcation, equilibrium business cycle models
JEL Classification: E32, C33, C52
Suggested Citation: Suggested Citation