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Modern portfolio theory MPT , popularly known as mean-variance analysis, is a mathematical framework for accumulating a portfolio of assets such that the expected return is optimized for a given level of risk involved, generally defined as variance. This theory determines the level of risk investors are exposed to. And how can these investors build such portfolios have optimal or maximized expected return. Of course this is with respect to the level of given risk involved. Efficient frontier of optimal portfolios that proffer maximum plausible expected return for a given level of risk involved can be constructed; this is possible according to this theory. Economist Harry Markowitz portfolio theory in year has explained it. Basically Modern portfolio theory is based on a few assumptions.
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 only one type. Its key insight is that an asset's risk and return should not be assessed by itself, but by how it contributes to a portfolio's overall risk and return. It uses the variance of asset prices as a proxy for risk. MPT assumes that investors are risk averse, meaning that given two portfolios that offer the same expected return, investors will prefer the less risky one.
Modern portfolio theory and investment analysis / Edwin J. Elton, Leonard N. Stern School of Business, New York. University, Martin J. Gruber, Leonard N. Stern.
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In this problem, we will examine 2-asset portfolios consisting of the following pairs of securities:.