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Suppose you have two strategies. Strategy 1 gains 8% with probability p, and loses 3% with probability 1-p, where p = 0.52. Strategy 2 gains

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Suppose you have two strategies. Strategy 1 gains 8% with probability p, and loses 3% with probability 1-p, where p = 0.52. Strategy 2 gains 8% with probability q, and loses 3% with probability 1-q, where q = 0.5. The outcomes of the two strategies are independent. You assign weights (which sum to one) for the two strategies. What will the optimal weight be for Strategy 1 (to nearest 0.001), if you goal is to maximize your expected growth rate (i.e. maximize log utility, i.e. the Kelly criterion)? Selected Answer:

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