Let r.v.s X 1 , ...,X 10 be independent exponential r.v.s with unit means. Suppose that Y

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Let r.v.’s X1, ...,X10 be independent exponential r.v.’s with unit means. Suppose that Yi = 1.1 · Xi for i = 1, ..., 10, represent the returns for the investments in 10 independent assets. (Thus, since E{Xi} = 1, an investment in each asset gives 10% profit on the average.) Proceeding from the VaR criterion, figure out what is more profitable: to invest $10 in one asset, or split it between 10 assets. It is recommended to use Excel or another software.

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