Multi-Factor Models
Fama-French 3 and 5 factors — what they explain that the CAPM does not
By the late 1980s, the CAPM had a problem. Decades of accumulated U.S.
equity returns showed that the model's predictions held in spirit but failed in cross-section. Small-capitalization stocks earned more than CAPM predicted; high book-to-market (value) stocks earned more than CAPM predicted; both effects were robust, persistent, and statistically significant in long samples. Eugene Fama and Kenneth French published their resolution in the Journal of Finance in 1992 ('The Cross-Section of Expected Stock Returns') and refined it into a tradable factor model in the Journal of Financial Economics in 1993 ('Common risk factors in the returns on stocks and bonds').
Their Fama-French 3-factor model added two factors to CAPM's market beta — a size factor and a value factor — and showed that the combined model explained the cross-section of average returns substantially better than CAPM alone. The 3-factor model became the practitioner standard for performance attribution within roughly a decade, and the underlying factor return time series (along with momentum, profitability, investment, and several others) were made publicly available by Kenneth French at the Tuck School of Business at Dartmouth, where they remain the authoritative reference for academic and institutional factor work today.
That is the opening. Finishing a lesson is where it stops being interesting and starts being useful: the full lesson runs to 8 sections and ends with 6 practice questions. A free account is what opens the rest, and the other 255 lessons in the Academy with it. No card.
What this lesson covers
- 1What SMB and HML actually capture
- 2The 5-factor extension and the 'factor zoo' problem
- 3Multi-Factor Regression Visualizer
- 4The Fama-French 3-factor regression
- 5Factor exposures under different model specifications — same stock, three views
- 6The Kenneth French data library — the public infrastructure of factor research
- 7Where to see this on the platform
- 8Summary