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Lecture 14 Portfolio Theory - MIT OpenCourseWare

Portfolio TheoryPortfolio TheoryMIT KempthorneFall 2013 MIT TheoryLecture 14: 1 Portfolio TheoryMarkowitz Mean-Variance OptimizationMean-Variance Optimization with Risk-Free AssetVon Neumann-Morgenstern Utility TheoryPortfolio Optimization ConstraintsEstimating Return Expectations and CovarianceAlternative Risk MeasuresOutline1 Portfolio TheoryMarkowitz Mean-Variance OptimizationMean-Variance Optimization with Risk-Free AssetVon Neumann-Morgenstern Utility TheoryPortfolio Optimization ConstraintsEstimating Return Expectations and CovarianceAlternative Risk MeasuresMIT Theory2 Portfolio TheoryMarkowitz Mean-Variance OptimizationMean-Variance

Problem II: Expected Return Maximization: For a given choice of target return variance ˙ 2 0, choose the portfolio w to Maximize: E(R. w) = w. 0 Subject to: w. 0. w = ˙ 2 0. w. 0. 1. m = 1 Problem III: Risk Aversion Optimization: Let 0 denote the Arrow-Pratt risk aversion index gauging the trade- between risk and return. Choose the portfolio ...

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