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A manager must choose one of four investment options as given below. The manager cares only about the expected value and variance of the projects.

A manager must choose one of four investment options as given below. The manager cares only about the expected value and variance of the projects.

Investments

Return with Bad Luck

Probability of Bad Luck

Return with Good Luck

Probability of Good Luck

A

20

0.7

120

0.3

B

40

0.6

90

0.4

C

10

0.2

60

0.8

D

20

0.5

100

0.5

a) Which strategy would be chosen by a risk preferring manager? a risk neutral manager? a risk-averse manager?

b) Suppose utility is given by U = Y0.5 where Y is the return. For Investment C what is the expected utility and what is the risk premium? Draw the associated diagram showing the risk premium.

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