Rationality-based asset-pricing models assert that the cross-section of expected stock
returns can be explained by betas or factor loadings on a set of common factors. Early evidence in
the 1970s largely supports the Sharpe-Lintner-Black Capital Asset-Pricing Model (CAPM)
and the Efficient Market Hypothesis (EMH) (Fama, 1991). Fama and French (1992),
however, find that the main prediction of the CAPM, a linear cross-sectional relationship
between mean excess returns and exposures to the market factors, is violated for the US stock
market. In particular, exposures to two other factors, a size based factor and a Book-to-Market
based (BM) factor, often called a `value' factor, explain a significant part of the cross-section
of equity returns.
Based on these findings, Fama and French (1993) propose a three-factor model
that expected stock return is linearly related to the factor loadings on returns of three
portfolios constructed to replicate underlying risk factorsmarket factor, size factor and BM
factor. These portfolios are excess return on market portfolio, Small Minus Big (SMB) size
portfolio, and High Minus Low (HML) BM portfolio.
The three-factor model of Fama and French has been used to explain most
market anomalies (Fama and French, 1996), except the momentum anomaly initiated by
Jegadeesh and Titman (1993). Carhart (1997) further includes a momentum factor constructed by
the monthly return difference between the returns on the high and low prior return portfolios
to capture the cross-sectional return patterns. |