Investors can choose one of the two independent investment assets, A an B. The payoff per unit invested in each asset is uniformly distributed wit parameters as given below. A U(1, 1.1) B U(0.9, 1.2) Suppose that an investor with initial wealth of 1 chooses one of these assets based on the utility function u(x) = - exp(-3x). Calculate the expected utilities of investing in A and B.

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Chapter1: Making Economics Decisions
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Expected utility in portfolio theory

Investors can choose one of the two independent investment assets, A and
B. The payoff per unit invested in each asset is uniformly distributed with
parameters as given below.
A
U(1, 1.1)
B
U(0.9, 1.2)
——
Suppose that an investor with initial wealth of 1 chooses one of these
assets based on the utility function u(x) = · exp (−3x).
Calculate the expected utilities of investing in A and B.
Transcribed Image Text:Investors can choose one of the two independent investment assets, A and B. The payoff per unit invested in each asset is uniformly distributed with parameters as given below. A U(1, 1.1) B U(0.9, 1.2) —— Suppose that an investor with initial wealth of 1 chooses one of these assets based on the utility function u(x) = · exp (−3x). Calculate the expected utilities of investing in A and B.
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