Suppose that Lizzo's utility function U is given by U = w.53, where w is wealth. Lizzo has wealth of £21,500 but faces a probability of getting ill and being left with only £11,180. She has an 0.8 probability of being well and a 0.2 probability of being ill. a) To within two decimal places (e.g. 2.79), the expected value of Lizzo's wealth is £ 7 b) To within two decimal places (e.g. 1.21), Lizzo's level of utility at the expected value of wealth is c) To within two decimal places (e.g. 0.66), Lizzo's expected utility is

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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Problem 7.6P
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Suppose that Lizzo's utility function U is given by U = wo.53, where w is wealth. Lizzo has wealth of £21,500 but faces a probability of
getting ill and being left with only £11,180. She has an 0.8 probability of being well and a 0.2 probability of being ill.
a) To within two decimal places (e.g. 2.79), the expected value of Lizzo's wealth is £ 7
b) To within two decimal places (e.g. 1.21), Lizzo's level of utility at the expected value of wealth is
c) To within two decimal places (e.g. 0.66), Lizzo's expected utility is
d) Lizzo is risk-averse.
O True
O False
e) To within two decimal places (e.g. 0.09), Lizzo's certainty equivalent is
f) To within two decimal places, Lizzo's risk premium is 7
Transcribed Image Text:Suppose that Lizzo's utility function U is given by U = wo.53, where w is wealth. Lizzo has wealth of £21,500 but faces a probability of getting ill and being left with only £11,180. She has an 0.8 probability of being well and a 0.2 probability of being ill. a) To within two decimal places (e.g. 2.79), the expected value of Lizzo's wealth is £ 7 b) To within two decimal places (e.g. 1.21), Lizzo's level of utility at the expected value of wealth is c) To within two decimal places (e.g. 0.66), Lizzo's expected utility is d) Lizzo is risk-averse. O True O False e) To within two decimal places (e.g. 0.09), Lizzo's certainty equivalent is f) To within two decimal places, Lizzo's risk premium is 7
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