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Calibration as Testing, Type I Error in the Equity Premium Puzzle

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Author Info
Allan W. Gregory
Gregor W. Smith

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Abstract

A test of a dynamic, macroeconomic model with free parameters is provided by comparing its features, such as moments, with those of historical data. We provide a method for studying the distribution of the sample moment under the null hypothesis that the model is true. We calculate the size of tests of the recursive, exchange economy studied by Mehra and Prescott (1985) which compare model-generated and actual equity premia. With the parameter setting of Mehra and Prescott, the approximate size of their test is zero, while alternate, empirical representations of this economy or alternate moment-matching tests yield large probabilities of type I error.

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Publisher Info
Paper provided by Queen's University, Department of Economics in its series Working Papers with number 725.

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Length: 15 pages
Date of creation: 1988
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Handle: RePEc:qed:wpaper:725

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Keywords: calibration equity premium simulation type I error.

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  1. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Clark, 1991. "The Equity Premium and the Risk Free Rate: Matching the Moments," NBER Working Papers 3752, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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