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According to this model, the return of any stock can be decomposed into the expected excess return of the individual stock due to firm-specific factors, commonly denoted by its alpha coefficient (α), the return due to macroeconomic events that affect the market, and the unexpected microeconomic events that affect only the firm.
[] is the expected value of the excess of the asset return over the benchmark return, and is the standard deviation of the asset excess return. The t-statistic will equal the Sharpe Ratio times the square root of T (the number of returns used for the calculation).
( ()) is the market premium, the expected excess return of the market portfolio's expected return over the risk-free rate. A derivation [ 14 ] is as follows: (1) The incremental impact on risk and expected return when an additional risky asset, a , is added to the market portfolio, m , follows from the formulae for a two-asset portfolio.
In finance, Jensen's alpha [1] (or Jensen's Performance Index, ex-post alpha) is used to determine the abnormal return of a security or portfolio of securities over the theoretical expected return. It is a version of the standard alpha based on a theoretical performance instead of a market index.
Under the assumption of normality of returns, an active risk of x per cent would mean that approximately 2/3 of the portfolio's active returns (one standard deviation from the mean) can be expected to fall between +x and -x per cent of the mean excess return and about 95% of the portfolio's active returns (two standard deviations from the mean) can be expected to fall between +2x and -2x per ...
Since return on invested capital is said to measure the ability of a firm to generate a return on its capital, and since WACC is said to measure the minimum expected return demanded by the firm's capital providers, the difference between ROIC and WACC is sometimes referred to as a firm's "excess return", or "economic profit".
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 ...
Negative abnormal returns (α): Below-average returns that cannot be explained by below-market risk Security characteristic line (SCL) is a regression line, [ 1 ] plotting performance of a particular security or portfolio against that of the market portfolio at every point in time.