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Learning about Beta: Time-Varying Factor Loadings, Expected Returns, and the Conditional CAPM


Tobias Adrian


Federal Reserve Bank of New York

Francesco A. Franzoni


Swiss Finance Institute

November 13, 2008

Swiss Finance Institute Research Paper No. 08-36

Abstract:     
We complement the conditional CAPM by introducing unobservable long-run changes in risk factor loadings. In this environment, investors rationally 'learn' the long-level of factor loadings from the observation of realized returns. As a direct consequence of this assumption, conditional betas are modeled using the Kalman filter. Because of its focus on low frequency variation in betas, our approach circumvents recent criticisms of the conditional CAPM. When tested on portfolios sorted by size and book-to-market, our learning-augmented conditional CAPM fails to be rejected.

Number of Pages in PDF File: 51

Keywords: Asset Pricing, Bayesian Learning, CAPM Anomalies, Value Premium

JEL Classification: G12, C11

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Date posted: November 21, 2008  

Suggested Citation

Adrian, Tobias and Franzoni, Francesco A., Learning about Beta: Time-Varying Factor Loadings, Expected Returns, and the Conditional CAPM (November 13, 2008). Swiss Finance Institute Research Paper No. 08-36. Available at SSRN: http://ssrn.com/abstract=1304536 or http://dx.doi.org/10.2139/ssrn.1304536

Contact Information

Tobias Adrian
Federal Reserve Bank of New York ( email )
33 Liberty Street
New York, NY 10045
United States
HOME PAGE: http://nyfedeconomists.org/adrian/
Francesco A. Franzoni (Contact Author)
Swiss Finance Institute ( email )
University of Lugano
Via G. Buffi 13
Lugano, 6904
Switzerland
Feedback to SSRN (Beta)


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