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  2. Sharpe ratio - Wikipedia

    en.wikipedia.org/wiki/Sharpe_ratio

    Sharpe ratio. In finance, the Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) measures the performance of an investment such as a security or portfolio compared to a risk-free asset, after adjusting for its risk. It is defined as the difference between the returns of the investment and the ...

  3. Hardy–Littlewood maximal function - Wikipedia

    en.wikipedia.org/wiki/Hardy–Littlewood_maximal...

    The operator takes a locally integrable function f : R d → C and returns another function Mf.For any point x ∈ R d, the function Mf returns the maximum of a set of reals, namely the set of average values of f for all the balls B(x, r) of any radius r at x.

  4. Mutual fund fees and expenses - Wikipedia

    en.wikipedia.org/wiki/Mutual_fund_fees_and_expenses

    Mutual fund fees and expenses. Mutual fund fees and expenses are charges that may be incurred by investors who hold mutual funds. Operating a mutual fund involves costs, including shareholder transaction costs, investment advisory fees, and marketing and distribution expenses. Funds pass along these costs to investors in several ways.

  5. Jensen's alpha - Wikipedia

    en.wikipedia.org/wiki/Jensen's_alpha

    Jensen's alpha is a statistic that is commonly used in empirical finance to assess the marginal return associated with unit exposure to a given strategy. Generalizing the above definition to the multifactor setting, Jensen's alpha is a measure of the marginal return associated with an additional strategy that is not explained by existing factors.

  6. Treynor ratio - Wikipedia

    en.wikipedia.org/wiki/Treynor_ratio

    In finance, the Treynor reward-to-volatility model (sometimes called the reward-to-volatility ratio or Treynor measure [1]), named after American economist Jack L. Treynor, [2] is a measurement of the returns earned in excess of that which could have been earned on an investment that has no risk that can be diversified (e.g., Treasury bills or a completely diversified portfolio), per unit of ...

  7. Modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Modern_portfolio_theory

    Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of diversification in investing, the idea that owning different kinds of financial assets is less risky than owning ...

  8. Probability mass function - Wikipedia

    en.wikipedia.org/wiki/Probability_mass_function

    The graph of a probability mass function. All the values of this function must be non-negative and sum up to 1. In probability and statistics, a probability mass function (sometimes called probability function or frequency function [1]) is a function that gives the probability that a discrete random variable is exactly equal to some value. [2]

  9. Information ratio - Wikipedia

    en.wikipedia.org/wiki/Information_ratio

    The information ratio is often annualized. While it is then common for the numerator to be calculated as the arithmetic difference between the annualized portfolio return and the annualized benchmark return, this is an approximation because the annualization of an arithmetic difference between terms is not the arithmetic difference of the annualized terms. [6]