QUESTION 4 Mrs. Obaatanpa has a wealth of Ghe 3,500 for one year. There is a 35% probability that she get sick and she estimates her loss from the illness to be Ghe 1,600. Her utility function is given as U(Y) = √Y, where Y is the amount of wealth she has. a) Comment on her utility function. Is she risk-neutral? b) Estimate the risk that she faces and explain. c) What is her expected utility? d) Suppose that she can buy an insurance policy that will cover the entire loss, what is the maximum premium she would be willing to pay?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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QUESTION 4
Mrs. Obaatanpa has a wealth of Ghe 3,500 for one year. There is a 35% probability that she will
get sick and she estimates her loss from the illness to be Gh 1,600. Her utility function is given
as U(Y) = VY, where Y is the amount of wealth she has.
a) Comment on her utility function. Is she risk-neutral?
b) Estimate the risk that she faces and explain.
c) What is her expected utility?
d) Suppose that she can buy an insurance policy that will cover the entire loss, what is the
maximum premium she would be willing to pay?
Transcribed Image Text:QUESTION 4 Mrs. Obaatanpa has a wealth of Ghe 3,500 for one year. There is a 35% probability that she will get sick and she estimates her loss from the illness to be Gh 1,600. Her utility function is given as U(Y) = VY, where Y is the amount of wealth she has. a) Comment on her utility function. Is she risk-neutral? b) Estimate the risk that she faces and explain. c) What is her expected utility? d) Suppose that she can buy an insurance policy that will cover the entire loss, what is the maximum premium she would be willing to pay?
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