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  2. Expected return - Wikipedia

    en.wikipedia.org/wiki/Expected_return

    In this case, expected return is a measure of the relative balance of win or loss weighted by their chances of occurring. For example, if a fair die is thrown and numbers 1 and 2 win $1, but 3-6 lose $0.5, then the expected gain per throw is [] = =

  3. Kelly criterion - Wikipedia

    en.wikipedia.org/wiki/Kelly_criterion

    Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.

  4. Rate of return - Wikipedia

    en.wikipedia.org/wiki/Rate_of_return

    An annual rate of return is a return over a period of one year, such as January 1 through December 31, or June 3, 2006, through June 2, 2007, whereas an annualized rate of return is a rate of return per year, measured over a period either longer or shorter than one year, such as a month, or two years, annualized for comparison with a one-year ...

  5. Time-weighted return: What it is and how to calculate it - AOL

    www.aol.com/finance/time-weighted-return...

    In doing so, TWR shows the real market return of a fund or portfolio over time. Contrast TWR with a metric like rate of return (RoR), which calculates an investment’s performance based solely on ...

  6. Modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Modern_portfolio_theory

    (⁡ ()) 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.

  7. Sharpe ratio - Wikipedia

    en.wikipedia.org/wiki/Sharpe_ratio

    The Kelly criterion gives the ideal size of the investment, which when adjusted by the period and expected rate of return per unit, gives a rate of return. [ 11 ] The accuracy of Sharpe ratio estimators hinges on the statistical properties of returns, and these properties can vary considerably among strategies, portfolios, and over time.

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