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  2. Multiple factor models - Wikipedia

    en.wikipedia.org/wiki/Multiple_factor_models

    Then (,,) are risk exposure values calculated from fundamental and technical data, (,) are factor returns determined by a cross-sectional regression for each time period and (,) are the regression residuals. This model was reformulated by Rosenberg et al. into a direct model of asset return,

  3. Capital asset pricing model - Wikipedia

    en.wikipedia.org/wiki/Capital_asset_pricing_model

    An estimation of the CAPM and the security market line (purple) for the Dow Jones Industrial Average over 3 years for monthly data.. In finance, the capital asset pricing model (CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a well-diversified portfolio.

  4. Fama–MacBeth regression - Wikipedia

    en.wikipedia.org/wiki/Fama–MacBeth_regression

    The Fama–MacBeth regression is a method used to estimate parameters for asset pricing models such as the capital asset pricing model (CAPM). The method estimates the betas and risk premia for any risk factors that are expected to determine asset prices.

  5. Consumption-based capital asset pricing model - Wikipedia

    en.wikipedia.org/wiki/Consumption-based_capital...

    The CAPM can be derived from the following special cases of the CCAPM: (1) a two-period model with quadratic utility, (2) two-periods, exponential utility, and normally-distributed returns, (3) infinite-periods, quadratic utility, and stochastic independence across time, (4) infinite periods and log utility, and (5) a first-order approximation ...

  6. Roll's critique - Wikipedia

    en.wikipedia.org/wiki/Roll's_critique

    Roll's critique is a famous analysis of the validity of empirical tests of the capital asset pricing model (CAPM) by Richard Roll. It concerns methods to formally test the statement of the CAPM, the equation = + [()].

  7. Modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Modern_portfolio_theory

    The CAPM is usually expressed: ⁡ = + (⁡ ()) β, Beta, is the measure of asset sensitivity to a movement in the overall market; Beta is usually found via regression on historical data. Betas exceeding one signify more than average "riskiness" in the sense of the asset's contribution to overall portfolio risk; betas below one indicate a lower ...

  8. Carhart four-factor model - Wikipedia

    en.wikipedia.org/wiki/Carhart_four-factor_model

    In portfolio management, the Carhart four-factor model is an extra factor addition in the Fama–French three-factor model, proposed by Mark Carhart.The Fama-French model, developed in the 1990, argued most stock market returns are explained by three factors: risk, price (value stocks tending to outperform) and company size (smaller company stocks tending to outperform).

  9. Fama–French three-factor model - Wikipedia

    en.wikipedia.org/wiki/Fama–French_three-factor...

    In 2015, Fama and French extended the model, adding a further two factors — profitability and investment. Defined analogously to the HML factor, the profitability factor (RMW) is the difference between the returns of firms with robust (high) and weak (low) operating profitability; and the investment factor (CMA) is the difference between the returns of firms that invest conservatively and ...