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Beta Matrix and Common Factors in Stock Returns

Published online by Cambridge University Press:  19 March 2018

Seung C. Ahn ,
Alex R. Horenstein  and
Na Wang
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Abstract

We consider the estimation methods for the rank of a beta matrix corresponding to a multifactor model and study which method would be appropriate for data with a large number of assets. Our simulation results indicate that a restricted version of Cragg and Donald’s (1997) Bayesian information criterion estimator is quite reliable for such data. We use this estimator to analyze some selected asset pricing models with U.S. stock returns. Our results indicate that the beta matrix from many models fails to have full column rank, suggesting that risk premiums in these models are underidentified.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 53 , Issue 3 , June 2018 , pp. 1417 - 1440
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2018 

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Footnotes

1

We are grateful to Stephen Brown (the editor), Raymond Kan (the referee), George Korniotis, Alok Kumar, Todd Pronno, Richard Roll, Aurelio Vazquez, and the participants at Columbia University, Instituto Tecnológico Autónomo de México, Universidad Autónoma de Nuevo León, Sogang University, Hofstra University, Arizona State University, the University of Miami, Hitotsubashi University, and numerous conferences at which we presented this paper. We also thank Laura Xiaolei Liu, Jonathan Lewellen, and Stefan Nagel for sharing their data with us.

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