Exercise 4: Insurance Fiona has von Neumann-Morgenstern utility function u(x) VT and initial wealth 640,000. She faces a 25% chance of losing L = 280, 000. 1. Is Fiona risk averse? 2. What is Fiona's utility if no loss occurs, what is her utility if the loss occurs? What is Fiona's expected utility? 3. What is the cost of fair insurance against the possible loss?
Exercise 4: Insurance Fiona has von Neumann-Morgenstern utility function u(x) VT and initial wealth 640,000. She faces a 25% chance of losing L = 280, 000. 1. Is Fiona risk averse? 2. What is Fiona's utility if no loss occurs, what is her utility if the loss occurs? What is Fiona's expected utility? 3. What is the cost of fair insurance against the possible loss?
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.4P
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1. By looking at the utility function we see it is concave. Hence Fiona is risk averse.
More formally we can calculate the degree of absolute risk aversion given by
A positive degree of absolute risk aversion shows that Fiona is risk averse.
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