2. Alex plays football for a local club in Kumasi. If he does not suffer any injury b y the end of the season, he will get a professional contract with Kotoko, which is worth $10,000. If he is injured though, he will get a contract as a fitness coa ch worth $100. The probability of the injury is 10%. Describe the lottery What is the expected value of this lottery? What is the expected utility of this lottery if u(x) = √X Assume he could buy insurance at price P that could pay $9,900 in case of inj ury. What is the highest value of P that makes it worthwhile for Alex to purcha se insurance? What is the certainty equivalence for this lottery?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.9P
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2. Alex plays football for a local club in Kumasi. If he does not suffer any injury b
y the end of the season, he will get a professional contract with Kotoko, which
is worth $10,000. If he is injured though, he will get a contract as a fitness coa
ch worth $100. The probability of the injury is 10%.
Describe the lottery
What is the expected value of this lottery?
What is the expected utility of this lottery if u(x) = √X
Assume he could buy insurance at price P that could pay $9,900 in case of inj
ury. What is the highest value of P that makes it worthwhile for Alex to purcha
se insurance?
What is the certainty equivalence for this lottery?
Transcribed Image Text:2. Alex plays football for a local club in Kumasi. If he does not suffer any injury b y the end of the season, he will get a professional contract with Kotoko, which is worth $10,000. If he is injured though, he will get a contract as a fitness coa ch worth $100. The probability of the injury is 10%. Describe the lottery What is the expected value of this lottery? What is the expected utility of this lottery if u(x) = √X Assume he could buy insurance at price P that could pay $9,900 in case of inj ury. What is the highest value of P that makes it worthwhile for Alex to purcha se insurance? What is the certainty equivalence for this lottery?
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