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We prove that the Omega measure, which considers all moments when assessing portfolio performance, is equivalent to the widely used Sharpe ratio under jointly elliptic distributions of returns. Portfolio optimization of the Sharpe ratio is then explored, with an active-set algorithm presented...
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incorporating time-series behaviors of asset returns on the basis of coherent risk minimization. Analyzing the dual form of our … robust optimization. For this optimization, we prove that the worst-case coherent risk measure can be decomposed into the … empirical risk measure and the penalty terms. Numerical results demonstrate that when the number of assets is small, linear …
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