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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 ...
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 ...
For example, consider a mutual fund that holds ten 'large value' US stocks. Returns-based analysis would analyze the returns of the fund itself, and by comparing them to US equity indices, may determine that the fund is heavily exposed to the large-growth space. Holdings-based analysis would examine the fund's stated holdings, and provide the ...
Jensen's alpha was first used as a measure in the evaluation of mutual fund managers by Michael Jensen in 1968. [2] The CAPM return is supposed to be 'risk adjusted', which means it takes account of the relative riskiness of the asset. This is based on the concept that riskier assets should have higher expected returns than less risky assets.
Beta (finance) In finance, the beta (β or market beta or beta coefficient) is a statistic that measures the expected increase or decrease of an individual stock price in proportion to movements of the stock market as a whole. Beta can be used to indicate the contribution of an individual asset to the market risk of a portfolio when it is added ...
Rate of return. In finance, return is a profit on an investment. [1] It comprises any change in value of the investment, and/or cash flows (or securities, or other investments) which the investor receives from that investment over a specified time period, such as interest payments, coupons, cash dividends and stock dividends.
Performance attribution, or investment performance attribution is a set of techniques that performance analysts use to explain why a portfolio 's performance differed from the benchmark. This difference between the portfolio return and the benchmark return is known as the active return. The active return is the component of a portfolio's ...
A mutual fund is an investment fund that pools money from many investors to purchase securities. The term is typically used in the United States, Canada, and India, while similar structures across the globe include the SICAV in Europe ('investment company with variable capital'), and the open-ended investment company (OEIC) in the UK.
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