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6. For this question, use the setup for our class discussion of Arrow-Debreu securities with two periods and two states. But, for this question, we will assume quadratic utility: u(c) We will assume that B(1r1 for simplicity. We will also assume that u (c) > O for the optimal values. a) Assume that there is only a risk-free bond. Find an expression for the optimal value of Interpret. b) Now, assume that there are Arrow-Debreu securities for both states and that the prices of these securities are actuarially fair. Find an expression for the optimal value of c1. Interpret. c) Compare and contrast the results from parts a) and b)

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