Nathan's income in a typical year is 75,000. There is a 10 percent chance that Nathan will be seriously ill next year, incurring 15,000 in medical expenses. Samantha also earns 75,000 in a typical year. Her chance of becoming seriously ill next year and incurring ur 15,000 in medical expenses is 20 percent. a. Calculate the actuarially fair premium for full insurance for (i) Nathan and (ii) Samantha. b. Suppose that a private insurance firm cannot distinguish between Nathan and Samantha in terms of their risk and assumes the risk of being seriously ill in the general population is 10%. In this context, discuss the adverse selection problem the firm might face. c. Can a compulsory, government - run health insurance program avoid the problem of adverse selection? Explain why or why not.

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter7: The Market For Health Insurance
Section: Chapter Questions
Problem 11QAP
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Nathan's income in a typical year is 75,000. There is a 10 percent chance that Nathan will be seriously ill next year, incurring 15,000 in medical expenses. Samantha also earns 75,000 in a typical year. Her chance of becoming seriously ill next year and incurring ur 15,000 in medical expenses is 20 percent. a. Calculate the actuarially fair premium for full insurance for (i) Nathan and (ii) Samantha. b. Suppose that a private insurance firm cannot distinguish between Nathan and Samantha in terms of their risk and assumes the risk of being seriously ill in the general population is 10%. In this context, discuss the adverse selection problem the firm might face. c. Can a compulsory, government - run health insurance program avoid the problem of adverse selection? Explain why or why not.

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