Raymond has initial wealth Wo 100, 000 and faces a potential loss of / = 70, 000 with probability p = 0.1. His utility function over wealth is given by u(w) = In(w). Wuntsch Insurance offers him four insurance contracts, described below: %3! Premium, h Deductible, d Contract A 9,000 Contract B 8,400 4,000 Contract C 7,500 12,000 Contract D 6,000 24,000 (a) Compare the four contracts on the basis of the expected profit they generate for Wuntsch Insurance. Which one gives the highest expected profit? (b) Use expected utility to determine which, if any, of the contracts Raymond would purchase. (c) What is the maximum premium that Raymond would be willing to pay for full insurance?

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
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100, 000 and faces a potential loss of I = 70, 000 with probability
Raymond has initial wealth Wo
p= 0.1. His utility function over wealth is given by u(w) = In(w). Wuntsch Insurance offers him four
insurance contracts, described below:
Premium, h
Deductible, d
Contract A
9,000
Contract B
8,400
4,000
Contract C
7,500
12,000
Contract D
6,000
24,000
(a) Compare the four contracts on the basis of the expected profit they generate for Wuntsch Insurance.
Which one gives the highest expected profit?
(b) Use expected utility to determine which, if any, of the contracts Raymond would purchase.
(c) What is the maximum premium that Raymond would be willing to pay for full insurance?
Transcribed Image Text:100, 000 and faces a potential loss of I = 70, 000 with probability Raymond has initial wealth Wo p= 0.1. His utility function over wealth is given by u(w) = In(w). Wuntsch Insurance offers him four insurance contracts, described below: Premium, h Deductible, d Contract A 9,000 Contract B 8,400 4,000 Contract C 7,500 12,000 Contract D 6,000 24,000 (a) Compare the four contracts on the basis of the expected profit they generate for Wuntsch Insurance. Which one gives the highest expected profit? (b) Use expected utility to determine which, if any, of the contracts Raymond would purchase. (c) What is the maximum premium that Raymond would be willing to pay for full insurance?
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