Question 6. Suppose that Dave has 100 dollars as initial wealth. He faces two types of financial loss. The risk of a large financial loss of 30 dollars occurs with the probability 0.2. The risk of a small financial loss of 10 dollars occurs with the probability 0.4. The probability of no loss is 0.4. An insurance company offers to sell the products that cover 10x whenever the loss occurs (regardless of the type of loss), where x is the number of product units that Dave purchases. The price of each unit of the product is 2 and Dave's budget constraint for the products is 02x ≤ 100. Suppose that Dave has a logarithmic utility U(z) = ln x. Compute the optimal choice of a to maximize Dave's expected utility. ==
Question 6. Suppose that Dave has 100 dollars as initial wealth. He faces two types of financial loss. The risk of a large financial loss of 30 dollars occurs with the probability 0.2. The risk of a small financial loss of 10 dollars occurs with the probability 0.4. The probability of no loss is 0.4. An insurance company offers to sell the products that cover 10x whenever the loss occurs (regardless of the type of loss), where x is the number of product units that Dave purchases. The price of each unit of the product is 2 and Dave's budget constraint for the products is 02x ≤ 100. Suppose that Dave has a logarithmic utility U(z) = ln x. Compute the optimal choice of a to maximize Dave's expected utility. ==
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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