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  2. Modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Modern_portfolio_theory

    The MPT is a mean-variance theory, and it compares the expected (mean) return of a portfolio with the standard deviation of the same portfolio. The image shows expected return on the vertical axis, and the standard deviation on the horizontal axis (volatility). Volatility is described by standard deviation and it serves as a measure of risk. [7 ...

  3. Expected return - Wikipedia

    en.wikipedia.org/wiki/Expected_return

    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

  4. Markowitz model - Wikipedia

    en.wikipedia.org/wiki/Markowitz_model

    R M = return on the market portfolio σ M = standard deviation of the market portfolio σ P = standard deviation of portfolio (R M – I RF)/σ M is the slope of CML. (R M – I RF) is a measure of the risk premium, or the reward for holding risky portfolio instead of risk-free portfolio. σ M is the risk of the market portfolio. Therefore, the ...

  5. Calculating the Expected Return of a Portfolio

    www.aol.com/news/calculating-expected-return...

    An investment’s “expected return” is a critical number, but in theory it is fairly simple: It is the total amount of money you can expect to gain or lose on an investment with a predictable ...

  6. Capital asset pricing model - Wikipedia

    en.wikipedia.org/wiki/Capital_asset_pricing_model

    The CAPM is a model for pricing an individual security or portfolio. For individual securities, we make use of the security market line (SML) and its relation to expected return and systematic risk (beta) to show how the market must price individual securities in relation to their security risk class.

  7. Single-index model - Wikipedia

    en.wikipedia.org/wiki/Single-index_model

    A more detailed model would have multiple risk factors. This would require more computation, but still less than computing the covariance of each possible pair of securities in the portfolio. With this equation, only the betas of the individual securities and the market variance need to be estimated to calculate covariance.

  8. Roy's safety-first criterion - Wikipedia

    en.wikipedia.org/wiki/Roy's_safety-first_criterion

    If Portfolio A has an expected return of 10% and standard deviation of 15%, while portfolio B has a mean return of 8% and a standard deviation of 5%, and the investor is willing to invest in a portfolio that maximizes the probability of a return no lower than 0%: SFRatio(A) = ⁠ 10 − 0 / 15 ⁠ = 0.67, SFRatio(B) = ⁠ 8 − 0 / 5 ⁠ = 1.6

  9. Portfolio optimization - Wikipedia

    en.wikipedia.org/wiki/Portfolio_optimization

    Portfolio optimization is the process of selecting an optimal portfolio (asset distribution), out of a set of considered portfolios, according to some objective.The objective typically maximizes factors such as expected return, and minimizes costs like financial risk, resulting in a multi-objective optimization problem.

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