Consider a worker, Janice, who has the option to purchase DI (disability insurance) on the private market. Janice becomes disabled with probability q=0.01. She can purchase DI by paying the premium p. If the Janice is disabled, she will earn no income. But if she is insured, she will receive a total payment of $15,000 from the insurance company (her consumption will be $15,000). If the Janice is not disabled, she earns an income of $20,000. She has utility: U = 3C where C is the amount of consumption. Determine the actuarially fair insurance premium, p*. Write down the expected utility function for Janice if she purchases insurance at the actuarially fair price.
Consider a worker, Janice, who has the option to purchase DI (disability insurance) on the private market. Janice becomes disabled with probability q=0.01. She can purchase DI by paying the premium p. If the Janice is disabled, she will earn no income. But if she is insured, she will receive a total payment of $15,000 from the insurance company (her consumption will be $15,000). If the Janice is not disabled, she earns an income of $20,000. She has utility: U = 3C where C is the amount of consumption. Determine the actuarially fair insurance premium, p*. Write down the expected utility function for Janice if she purchases insurance at the actuarially fair price.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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