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Random Investment. An investor has $100,000. If the current interest rate is i% (compounded…

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Random Investment. An investor has $100,000. If the current interest rate is i% (compounded continuously so that the grow per year is exp(i/100)), he invests his money in a i year CD, takes the profits, and then reinvests the $100,000. Suppose that the kth investment leads to an interest rate Xk which is uniform on {1, 2, 3, 4, 5}. In the long run how much money does he make per year.