Abstract
Time-varying factor loadings exhibit pronounced asymmetry in the cross section of stock returns. To capture this asymmetry, we develop regime-switching versions of the CAPM and the Fama French three-factor model, allowing both factor loadings and predictable risk premiums to switch across regimes. We estimate the models jointly on the decile book-to-market portfolios, together with the market portfolio to investigate the role of asymmetric risk in the book-to-market premium. We find that betas of value stocks increase significantly during bear market episodes. However, we still reject that the book-to-market premium is equal to zero for both the regime-switching conditional CAPM and the Fama-French model, even in the presence of regimes.
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