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You are on the game show Deal or No Deal! and have made it almost until the end. You are left with four suitcases. One

You are on the game show Deal or No Deal! and have made it almost until the end. You are left with four suitcases. One of them holds $1,000,000, one of them holds $50,000, one of them holds $10,000, and the other holds $1. Assume your payoff is one of these four amounts in equal probability. What is the expected payoff? The banker is offering you a fixed sum in exchange for the four suitcases. If your utility of the random prize W is equal to U(W)=W^(2/3) what is the minimum amount you would accept from the banker? Why is this less than the expected payoff?

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