Skipper has riskless assets of $30,000, a car worth $20,000 and a risk-averse utility function of His car is subject to the following loss distribution: Li P(L;) 20,000 0.01

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.9P
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Skipper has riskless assets of $30,000, a car
worth $20,000 and a risk-averse utility
function of His car is subject to the following
loss distribution:
Li
P(L;)
20,000
0.01
5,000
0.05
1,000
0.10
0.84
a. Find the expected loss, the
expected value of the car, Skipper's
expected utility without insurance,
the certainty equivalent and the risk
premium of the car. What is Skipper's
maximum premium for full coverage.
b. Would Skipper buy full insurance
for his car if the premium is $585?
Please explain your answer.
Transcribed Image Text:Skipper has riskless assets of $30,000, a car worth $20,000 and a risk-averse utility function of His car is subject to the following loss distribution: Li P(L;) 20,000 0.01 5,000 0.05 1,000 0.10 0.84 a. Find the expected loss, the expected value of the car, Skipper's expected utility without insurance, the certainty equivalent and the risk premium of the car. What is Skipper's maximum premium for full coverage. b. Would Skipper buy full insurance for his car if the premium is $585? Please explain your answer.
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