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The expected return (or expected gain) on a financial investment is the expected value of its return (of the profit on the investment). It is a measure of the center of the distribution of the random variable that is the return. [1] It is calculated by using the following formula: [] = = where
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.
( ()) 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.
An example capital allocation line. As illustrated by the article, the slope dictates the amount of return that comes with a certain level of risk. Capital allocation line (CAL) is a graph created by investors to measure the risk of risky and risk-free assets. The graph displays the return to be made by taking on a certain level of risk.
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 ...
E(R i) is an expected return on security E(R M) is an expected return on market portfolio M β is a nondiversifiable or systematic risk R M is a market rate of return R f is a risk-free rate. When used in portfolio management, the SML represents the investment's opportunity cost (investing in a combination of the market portfolio and the risk ...
The factor returns are then fit to a second stage model of the form (,,) = (,,) (,) + (,,) Here Y gives the exposure of local factor (i,j) to the global factor whose return is g(k,t) and h(i,j,t) is the local specific factor return. The covariance matrix of factor returns is estimated as
The rate of return on a portfolio can be calculated indirectly as the weighted average rate of return on the various assets within the portfolio. [3] The weights are proportional to the value of the assets within the portfolio, to take into account what portion of the portfolio each individual return represents in calculating the contribution of that asset to the return on the portfolio.