BVAR models with economic priors: An application to the propagation of U.S. regional cycles to Canada

Abstract

To overcome the over-parameterization problems typically associated with the estimation of large VAR systems, Litterman (1979, 1986) and Doan, Litterman, and Sims (1984) have proposed the inclusion ofstatisticala priori information. In this paper, we investigate how economica priori information based on regional input-output tables and trade flows statistics could help estimate a large U.S.-Canadian regional model. Instead of relying on the usual Choleski factorization, we present the variance decomposition based on a national-regional unobservable variables model. Using monthly series (total employment, 1966:1-1986:12) on five Canadian regions and four U.S. ones, we are able to characterize the north-south propagation mechanism.