Certainty Utility в 200 198 F 194 D' Total utility 170 of wealth Expected Utility A 140 10,000 15,000 19,000 20,000 Wealth FIGURE 8-1 Total Utility of Wealth and the Impact of Insurance a. Please explain the difference between the certainty utility line and the expected utility line b. Calculate your E(U), given an 80% change of being healthy and 20% of being sick, knowing that your income falls to $10,000 and your utility is 140 if you get sick. c. Calculate your E(W), given an 80% change of being healthy and 20% of being sick.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.5P
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ease use utility of wealth function in the booK, 8-1 (see below).
Certainty
Utility
B
D
200
198
194
D'
Total utility 170
of wealth
C'
Expected Utility
A
140
10,000
15,000
19,000 20,000
Wealth
FIGURE 8-1 Total Utility of Wealth and the Impact of Insurance
Please explain the difference between the certainty utility line and the expected utility line
b. Calculate your E(U), given an 80% change of being healthy and 20% of being sick, knowing
that your income falls to $10,000 and your utility is 140 if you get sick.
Calculate your E(W), given an 80% change of being healthy and 20% of being sick.
d. Given that your Certainty Utility Function is U = 200Y-0.00154 and Y is your income, what is
your Certainty Utility with insurance (if you are risk averse)
What insurance premium will you pay to guarantee a utility of 197? Please provide a
calculation.
Transcribed Image Text:ease use utility of wealth function in the booK, 8-1 (see below). Certainty Utility B D 200 198 194 D' Total utility 170 of wealth C' Expected Utility A 140 10,000 15,000 19,000 20,000 Wealth FIGURE 8-1 Total Utility of Wealth and the Impact of Insurance Please explain the difference between the certainty utility line and the expected utility line b. Calculate your E(U), given an 80% change of being healthy and 20% of being sick, knowing that your income falls to $10,000 and your utility is 140 if you get sick. Calculate your E(W), given an 80% change of being healthy and 20% of being sick. d. Given that your Certainty Utility Function is U = 200Y-0.00154 and Y is your income, what is your Certainty Utility with insurance (if you are risk averse) What insurance premium will you pay to guarantee a utility of 197? Please provide a calculation.
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