Learning about beta: Time-varying factor loadings, expected returns, and the conditional CAPM

We amend the conditional CAPM to allow for unobservable long-run changes in risk factor loadings. In this environment, investors rationally “learn” the long-run level of factor loadings from the observation of realized returns. As a consequence of this assumption, we model conditional betas using th...

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Bibliographic Details
Published inJournal of empirical finance Vol. 16; no. 4; pp. 537 - 556
Main Authors Adrian, Tobias, Franzoni, Francesco
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2009
Elsevier
SeriesJournal of Empirical Finance
Subjects
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ISSN0927-5398
1879-1727
DOI10.1016/j.jempfin.2009.02.003

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Summary:We amend the conditional CAPM to allow for unobservable long-run changes in risk factor loadings. In this environment, investors rationally “learn” the long-run level of factor loadings from the observation of realized returns. As a consequence of this assumption, we model conditional betas 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 passes the specification tests.
Bibliography:ObjectType-Article-2
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ISSN:0927-5398
1879-1727
DOI:10.1016/j.jempfin.2009.02.003