3. (40 marks) Jane owns a house worth $100,000. Assume that her wealth consists entirely of the house. In any given year, there is a 2% percent chance that the house will burn down. If it does, its scrap value will be $30,000. Jane's utility function is U(w) = 2/w. a. Draw Jane's utility function (plotting utility against wealth). b. Show whether Jane is risk averse. c. If the insurance premium is 2.5 cents per dollar insured, how much insurance will Jane buy? d. Heidi, Jane's sister, owns a house with the same value ($100, 000) and with the same chance (2%) of burning down. The scrap value of the burned house is also $30,000. Find the expected utility foe Jane if the two sisters share the losses equally. Assume the accidents of fire for the two houses are independent.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter17: Financial Markets
Section: Chapter Questions
Problem 31CTQ: What are some reasons why the investment strategy of a 30-year-old might differ flow the investment...
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need help with c and d

3. (40 marks) Jane owns a house worth $100,000. Assume that her wealth
consists entirely of the house. In any given year, there is a 2% percent
chance that the house will burn down. If it does, its scrap value will be
$30,000. Jane's utility function is U(w) =2vw.
a. Draw Jane's utility function (plotting utility against wealth).
b. Show whether Jane is risk averse.
c. If the insurance premium is 2.5 cents per dollar insured, how much
insurance will Jane buy?
d. Heidi, Jane's sister, owns a house with the same value ($100, 000) and with
the same chance (2%) of burning down. The scrap value of the burned
house is also $30,000. Find the expected utility foe Jane if the two sisters
share the losses equally. Assume the accidents of fire for the two houses
are independent.
Transcribed Image Text:3. (40 marks) Jane owns a house worth $100,000. Assume that her wealth consists entirely of the house. In any given year, there is a 2% percent chance that the house will burn down. If it does, its scrap value will be $30,000. Jane's utility function is U(w) =2vw. a. Draw Jane's utility function (plotting utility against wealth). b. Show whether Jane is risk averse. c. If the insurance premium is 2.5 cents per dollar insured, how much insurance will Jane buy? d. Heidi, Jane's sister, owns a house with the same value ($100, 000) and with the same chance (2%) of burning down. The scrap value of the burned house is also $30,000. Find the expected utility foe Jane if the two sisters share the losses equally. Assume the accidents of fire for the two houses are independent.
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