Advances in Using Vector Autoregressions to Estimate Structural Magnitudes

47 Pages Posted: 20 Apr 2020 Last revised: 25 Apr 2026

See all articles by Christiane Baumeister

Christiane Baumeister

University of Notre Dame; National Bureau of Economic Research (NBER); Centre for Economic Policy Research (CEPR)

James D. Hamilton

University of California at San Diego; National Bureau of Economic Research (NBER)

Multiple version iconThere are 2 versions of this paper

Date Written: April 2020

Abstract

This paper surveys recent advances in drawing structural conclusions from vector autoregressions, providing a unified perspective on the role of prior knowledge. We describe the traditional approach to identification as a claim to have exact prior information about the structural model and propose Bayesian inference as a way to acknowledge that prior information is imperfect or subject to error. We raise concerns from both a frequentist and a Bayesian perspective about the way that results are typically reported for VARs that are set-identified using sign and other restrictions. We call attention to a common but previously unrecognized error in estimating structural elasticities and show how to correctly estimate elasticities even in the case when one only knows the effects of a single structural shock.

Suggested Citation

Baumeister, Christiane and Hamilton, James D., Advances in Using Vector Autoregressions to Estimate Structural Magnitudes (April 2020). NBER Working Paper No. w27014, Available at SSRN: https://ssrn.com/abstract=3580572

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James D. Hamilton

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