"Testing Conditional Factor Models"

Andrew Ang, Dennis Kristensen

Working Paper, 2010

Publication type: Working paper

Research Archive Topic: Business Economics and Public Policy, Corporate Finance

Abstract

We develop a methodology for estimating time-varying factor loadings and conditional alphas and betas based on nonparametric techniques. We test whether conditional alphas and long-run alphas, which are averages of conditional alphas, are equal to zero and derive test statistics for the constancy of factor loadings. The tests can be performed for a single asset or jointly across portfolios. The traditional Gibbons, Ross and Shanken (1989) test arises as a special case no time variation in the alphas and factor loadings and homoskedasticity. As applications of the methodology, we estimate conditional CAPM and multifactor models on book-to-market and momentum decile portfolios. We reject the null that long-run alphas are equal to zero even though there is substantial variation in the conditional factor loadings of these portfolios.

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