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Vector Rational Error Correction

Sharon Kozicki
P.A. Tinsley
August 1998
RWP 98-03
Research Division
Federal Reserve Bank of Kansas City


Abstract

Systems of  forward-looking linear decision rules can be formulated as vector "rational" error correction models. The closed-form solution of the restricted error corrections is derived, and a full-information estimator is suggested. The error correction format indicates that the assumptions of convex adjustment costs and rational expectations impose different types of a priori restrictions on the dynamic structure of the error corrections. An empirical model of the producer decision rule for capital investment illustrates that the data rejects dynamic restrictions imposed by a standard model of adjustment costs but supports a more general description of convex frictions.

Keywords: Adjustment costs, capital equipment, companion systems, vector error correction.


Sharon Kozicki is a senior economist at the Federal Reserve Bank of Kansas City. P.A. Tinsley is Deputy Associate Director, Division of Research and Statistics, at the Board of Governors of the Federal Reserve System. The views xpressed in this paper are those of the authors and do not necessarily represent those of the Board of Governors or staff of the Federal Reserve System.

Kozicki e-mail: sharon.kozicki@kc.frb.org

Tinsley e-mail: ptinsley@frb.gov
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