SMU SOE Lee Kong Chian Seminar in Econometrics (May 9, 2022, 9.00am-10.30am): Specification Testing of DSGE Models Allowing for Indeterminacy and Weak Identification
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TOPIC:
SPECIFICATION TESTING OF DSGE MODELS ALLOWING FOR INDETERMINACY AND WEAK IDENTIFICATION
ABSTRACT
We propose methods for testing the specification of linearized DSGE models allowing for multiple equilibria and weak identification. We build the framework from a frequency-domain perspective based on a new test statistic, enabling the separate evaluation of a model's static properties, dynamic properties, and properties over a chosen frequency band, such as the business cycle frequencies. The results are indicative of which variables and frequencies contribute to misspecification. We show that the test has a likelihood ratio interpretation and is consistent. In an application, the methods reject a typical small-scale DSGE model, revealing specification problems in the inflation dynamics and comovements between variables over business cycle frequencies.