Fama-French 3/5-factor

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The factor framework that turned 90% of "alpha" into "style tilts."

Quick Answer

What is Fama-French 3/5-factor?

Fama-French 3 and 5-factor models extend CAPM by adding additional sources of systematic risk: size (small-cap premium), value (high book-to-market premium), and in the 5-factor version, profitability and investment. After fitting these factors, residual alpha is small for almost all active funds — most apparent skill was actually style tilt.

Rp − Rf = α + βMKT·MKT + βSMB·SMB + βHML·HML [+ βRMW·RMW + βCMA·CMA] + ε

Formula

Rp − Rf = α + βMKT·MKT + βSMB·SMB + βHML·HML [+ βRMW·RMW + βCMA·CMA] + ε
MKT = market excess return · SMB = small-minus-big · HML = high-minus-low (value) · RMW = robust-minus-weak profitability · CMA = conservative-minus-aggressive investment · α = residual alpha after factor adjustment

Multivariate regression of portfolio excess returns on the factor return series. The intercept is the true alpha; the coefficients are your loadings on each factor.

Intuition — what is this number telling you?

The empirical insight: a small-cap value fund that "beat the S&P 500" by 3% per year may have zero alpha after Fama-French — its outperformance came entirely from systematic small-cap and value tilts that anyone could have replicated with cheap factor ETFs.

This is the framework that demolished most active management. After Fama-French, the residual alpha for most "skilled" managers shrinks to near zero. The skill was simply being on the right side of size and value factors.

Worked example

Step-by-step

Your active small-cap value fund returned 14% in a year. S&P 500: 10%. T-bills: 4%.

Naive CAPM alpha vs. S&P 500: +4%.

Fama-French 3-factor regression: βMKT=1.0 (10% × 1.0 = 10%), βSMB=0.6 (size factor returned +3% × 0.6 = 1.8%), βHML=0.4 (value factor returned +2% × 0.4 = 0.8%).

Predicted: 4% + 10% + 1.8% + 0.8% = 16.6%

Actual: 14%. Fama-French alpha = 14% − 16.6% = −2.6%

The "outperformance" was actually underperformance after adjusting for size and value tilts.

What's a good Fama-French 3/5-factor value?

Statistically significant positive Fama-French alpha is extraordinarily rare. Most "great" managers have near-zero or modestly negative FF alpha. Anything sustained above +2% over a decade is exceptional.

Related metrics

Carhart 4-factor  ·  CAPM  ·  Alpha (Jensen's)  ·  Beta

Frequently asked questions about Fama-French 3/5-factor

What is the difference between 3 and 5-factor Fama-French?

3-factor = market + size + value. 5-factor = adds profitability (RMW) and investment (CMA). The 5-factor model better explains the cross-section of average returns.

Why does Fama-French alpha differ from CAPM alpha?

CAPM treats all non-market exposure as alpha. Fama-French recognizes that size and value are systematic risk factors that can be passively captured, so it strips them out of "alpha."

Does Foliolytic compute Fama-French alpha?

Yes — alongside CAPM alpha. The gap between them shows how much "skill" was actually style tilt.

Where do the factor returns come from?

Foliolytic uses Ken French's data library, updated monthly.

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