Question
Ted is considering an investment project that will give him a wealth of W = 50 if the plan is successful and a wealth of
Ted is considering an investment project that will give him a wealth of W = 50 if the plan is successful and a wealth of 25 if it fails. The local bank will sell him a certicate of deposit (CD) that will give him a wealth of 40 without any risk. 1. What is Teds expected wealth if each outcome occurs with an equal probability: (a) 50; (b) 25; (c) 40; (d) 37.5;
2. What probability for the good outcome would make Teds project have the same expected return as the CD (a) 0.2; (b) 0.6; (c) 0.8; (d) 0.3; Assume that Teds utility is given by U = pW : 3. What is Teds expected utility using the probabilities you found in 2: (a) 5.55; (b) 6.24; (c) 7.23; (d) 8.29;
4. What is the coe cient of absolute risk aversion at W = 50: (a) 0.07; (b) -0.0001; (c) 1.07; (d) 0.01;
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