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  2. 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 ...

  3. Markowitz model - Wikipedia

    en.wikipedia.org/wiki/Markowitz_model

    In finance, the Markowitz model ─ put forward by Harry Markowitz in 1952 ─ is a portfolio optimization model; it assists in the selection of the most efficient portfolio by analyzing various possible portfolios of the given securities. Here, by choosing securities that do not 'move' exactly together, the HM model shows investors how to ...

  4. Two-moment decision model - Wikipedia

    en.wikipedia.org/wiki/Two-moment_decision_model

    In decision theory, economics, and finance, a two-moment decision model is a model that describes or prescribes the process of making decisions in a context in which the decision-maker is faced with random variables whose realizations cannot be known in advance, and in which choices are made based on knowledge of two moments of those random variables.

  5. Coherent risk measure - Wikipedia

    en.wikipedia.org/wiki/Coherent_risk_measure

    However, in this case the value at risk becomes equivalent to a mean-variance approach where the risk of a portfolio is measured by the variance of the portfolio's return. The Wang transform function (distortion function) for the Value at Risk is g ( x ) = 1 x ≥ 1 − α {\displaystyle g(x)=\mathbf {1} _{x\geq 1-\alpha }} .

  6. Mean-variance analysis - Wikipedia

    en.wikipedia.org/?title=Mean-variance_analysis&...

    Retrieved from "https://en.wikipedia.org/w/index.php?title=Mean-variance_analysis&oldid=943876701"

  7. Roll's critique - Wikipedia

    en.wikipedia.org/wiki/Roll's_critique

    (A portfolio is mean-variance efficient if there is no portfolio that has a higher return and lower risk than those for the efficient portfolio. [1]) Mean-variance efficiency of the market portfolio is equivalent to the CAPM equation holding. This statement is a mathematical fact, requiring no model assumptions.

  8. The gambling industry's sly new way to suck money from ...

    www.aol.com/gambling-industrys-sly-way-suck...

    The technology, they continued, could create "individually themed online slot games that can respond to a player's voice and even generate novel content in response to a player's behavior and game ...

  9. Mutual fund separation theorem - Wikipedia

    en.wikipedia.org/wiki/Mutual_fund_separation_theorem

    To see two-fund separation in a context in which no risk-free asset is available, using matrix algebra, let be the variance of the portfolio return, let be the level of expected return on the portfolio that portfolio return variance is to be minimized contingent upon, let be the vector of expected returns on the available assets, let be the vector of amounts to be placed in the available ...