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Fama-French-Three-Factor-Model

Asset Pricing Model

This model expands on the capital asset pricing model (CAPM) by adding size risk and value risk factors to the market risk factor in CAPM.

alt text

Where,
r = Expected rate of return
rf = Risk-free rate
ß = Factor’s coefficient (sensitivity)
(rm – rf) = Market risk premium
SMB (Small Minus Big) = Historic excess returns of small-cap companies over large-cap companies
HML (High Minus Low) = Historic excess returns of value stocks (high book-to-price ratio) over growth stocks (low book-to-price ratio)
↋ = Risk