4. Amy's utility level (U) depends on the amount of wealth (W) she possesses and it can be represented by U = the wealth drops to $4,840,000. 3Y0.5. At good state, Amy's wealth is $6,250,000 while at bad state, (a) What is the difference in Amy's utility level if she goes from a good state to a bad state? (b) For a probability of illness of 15%, would Amy buy health insurance to protect herself against any loss of wealth? Explain. (c) How much would Amy be charged for a health insurance (i.e. What is the premium)? pure (d) Compute the risk premium for the case of Amy.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.12P
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4. Amy's utility level (U) depends on the amount of wealth (W) she possesses and it can
be represented by U
the wealth drops to $4,840,000.
3Y0.5. At good state, Amy's wealth is $6,250,000 while at bad state,
(a) What is the difference in Amy's utility level if she goes from a good state to a bad state?
(b) For a probability of illness of 15%, would Amy buy health insurance to protect herself
against any loss of wealth? Explain.
(c) How much would Amy be charged for a health insurance (i.e. What is the pure
premium)?
(d) Compute the risk premium for the case of Amy.
(e) Graph your solutions to parts (a) to (d) in one diagram.
Transcribed Image Text:4. Amy's utility level (U) depends on the amount of wealth (W) she possesses and it can be represented by U the wealth drops to $4,840,000. 3Y0.5. At good state, Amy's wealth is $6,250,000 while at bad state, (a) What is the difference in Amy's utility level if she goes from a good state to a bad state? (b) For a probability of illness of 15%, would Amy buy health insurance to protect herself against any loss of wealth? Explain. (c) How much would Amy be charged for a health insurance (i.e. What is the pure premium)? (d) Compute the risk premium for the case of Amy. (e) Graph your solutions to parts (a) to (d) in one diagram.
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