has $11,000 and she wants to invest in financial market. There are two ty ts. The first one guarantees 0.1 percent return next year. The second one sset which will yield 0.5 percent return in good times and 0.4 percent of times. Suppose the chance of good and bad times is half-half and Leia's ut n is U(Y) = Y 0.5 at is the expected utility if she invest in the first asset? at is the expected utility if she invest in the second asset? Will Leia chooses the second asset? pose that Leia can purchase a financial insurance which cost her $100 11 her lost when bad times happen. Will she purchase this insurance?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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6) Leia has $11,000 and she wants to invest in financial market. There are two types
of assets. The first one guarantees 0.1 percent return next year. The second one is a
risky asset which will yield 0.5 percent return in good times and 0.4 percent of loss
in bad times. Suppose the chance of good and bad times is half-half and Leia's utility
function is
U(Y) = Y 0.5
%3D
a). What is the expected utility if she invest in the first asset?
b). What is the expected utility if she invest in the second asset? Will Leia chooses the
first or the second asset?
c). Suppose that Leia can purchase a financial insurance which cost her $100 and
cover all her lost when bad times happen. Will she purchase this insurance?
Transcribed Image Text:6) Leia has $11,000 and she wants to invest in financial market. There are two types of assets. The first one guarantees 0.1 percent return next year. The second one is a risky asset which will yield 0.5 percent return in good times and 0.4 percent of loss in bad times. Suppose the chance of good and bad times is half-half and Leia's utility function is U(Y) = Y 0.5 %3D a). What is the expected utility if she invest in the first asset? b). What is the expected utility if she invest in the second asset? Will Leia chooses the first or the second asset? c). Suppose that Leia can purchase a financial insurance which cost her $100 and cover all her lost when bad times happen. Will she purchase this insurance?
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