factor models

Fama-French Factors

A family of systematic return factors — starting with market, size (SMB), and value (HML) — that explain cross-sectional equity returns beyond CAPM.

Eugene Fama and Kenneth French extended the Capital Asset Pricing Model (CAPM) by documenting that cross-sectional equity returns are driven by more than market beta alone.

Three-factor model (1993)

  • Mkt-RF — market excess return (the original CAPM factor)
  • SMB (Small Minus Big) — small-cap stocks have historically earned higher risk-adjusted returns than large-cap stocks
  • HML (High Minus Low) — value stocks (high book-to-market ratio) have historically outperformed growth stocks (low book-to-market)

Five-factor model (2015)

Added two further factors to better explain the cross-section of equity returns:

  • RMW (Robust Minus Weak) — profitable firms outperform unprofitable firms
  • CMA (Conservative Minus Aggressive) — low-investment firms outperform high-investment firms

The Fama-French factors serve as standard benchmarks for factor attribution: a strategy with positive alpha after controlling for these factors has demonstrated skill beyond known documented premia. Factor data is publicly available from the French data library.

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