Model multi-factor expected returns, size (SMB) and value (HML) premia, profitability (RMW), investment (CMA), and multi-factor alpha.
| Factor Component | Factor Beta (β) | Factor Risk Premium | Contribution to E(R) | Economic Role & Intuition |
|---|
Impact of varying Market Beta (βM) vs. Size Beta (βSMB) on cost of equity hurdle rate.
Impact of Value Beta (βHML) vs. Profitability Beta (βRMW) on excess hurdle spread over CAPM.
In 1993, Eugene Fama and Kenneth French demonstrated that market beta alone fails to explain why small-cap stocks and high book-to-market (value) stocks consistently outperform broader indices over long horizons:
SMB captures size risk; HML captures financial distress and value reversion risk.
In 2015, Fama and French expanded the framework to absorb remaining return anomalies related to corporate profitability and capital reinvestment discipline:
RMW (operating profitability) and CMA (conservative investment) capture managerial capital allocation quality.
In corporate finance and DCF valuation, using single-factor CAPM can severely understate hurdle rates for small value firms or overstate rates for profitable mega-cap compounders. The Fama-French discount rate incorporates granular factor risk pricing into WACC calculations.
Conventional Jensen's alpha attributes any outperformance beyond market beta to manager skill. Fama-French regression strips out passive exposure to size and value tilts, isolating pure active stock selection ($\alpha_{FF} = R_{actual} - E(R_{FF})$).
1. What does a positive Size factor beta (βSMB > 0) indicate about a stock or portfolio?
2. What economic risk does the High Minus Low (HML) factor primarily capture?
3. How do the two additional factors in the Fama-French 5-factor model (RMW and CMA) enhance asset pricing?
4. If a fund manager displays a positive CAPM alpha of +3.0% but a Fama-French 3-factor alpha of -0.5%, what is the most likely explanation?
Developed by Nobel laureate Eugene Fama and Kenneth French in 1993 (and expanded in 2015), the Fama-French model extends the classical single-factor Capital Asset Pricing Model (CAPM) by incorporating additional systematic risk factors that explain historical equity returns: market risk, company size (SMB: Small Minus Big), value (HML: High Minus Low book-to-market), operating profitability (RMW: Robust Minus Weak), and corporate investment pattern (CMA: Conservative Minus Aggressive).
Extensive empirical research demonstrates that the single-factor CAPM explains only approximately 70% of portfolio return variance, failing to account for persistent historical return premia associated with small-cap stocks, value companies, high operating profitability, and disciplined capital allocation. The Fama-French 3-factor and 5-factor models increase explanatory power (R-squared) to over 90%-95%, providing more accurate cost of equity hurdle rates and robust manager alpha attribution.
SMB (Small Minus Big) measures the excess return of small-capitalization equities over large-caps; HML (High Minus Low) measures the premium of high book-to-market (value) stocks over low book-to-market (growth) stocks; RMW (Robust Minus Weak) measures the spread between firms with robust operating profitability versus weak profitability; and CMA (Conservative Minus Aggressive) measures the spread between firms that invest conservatively versus aggressively.
CAPM Jensen's alpha only controls for overall market direction (beta). Consequently, a fund manager who tilts heavily toward small-cap value stocks might show a high CAPM alpha that is actually just unhedged exposure to the SMB and HML factors. Multi-factor Fama-French alpha strips out the returns earned from factor tilts, revealing whether the manager generated genuine stock-picking skill (true abnormal return).
Yes. You can export complete factor betas, historical risk premia, expected returns, CAPM comparison spreads, alpha calculations, and dual 5x5 sensitivity matrices as a formula-protected CSV spreadsheet.