1. Consider two assets with the following returns: State Prob. of state 1 2 2/3 1/3 R1 R2 .03 .05 .09 .02 (a) Compute the optimal portfolio for an investor having a Bernoulli utility of net returns Inr. In other words, the investor maximizes u(r) max Eu [aR₁(1 − a) R2] - a (b) Compute the certainty equivalent of the optimal portfolio.
1. Consider two assets with the following returns: State Prob. of state 1 2 2/3 1/3 R1 R2 .03 .05 .09 .02 (a) Compute the optimal portfolio for an investor having a Bernoulli utility of net returns Inr. In other words, the investor maximizes u(r) max Eu [aR₁(1 − a) R2] - a (b) Compute the certainty equivalent of the optimal portfolio.
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.10P
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![1. Consider two assets with the following returns:
State Prob. of state
1
2
2/3
1/3
R1 R2
.03 .05
.09 .02
(a) Compute the optimal portfolio for an investor having a Bernoulli utility of net returns
Inr. In other words, the investor maximizes
u(r)
max Eu [aR₁(1 − a) R2]
-
a
(b) Compute the certainty equivalent of the optimal portfolio.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aff424b-0e96-4e90-b1d6-dc40303839e0%2F16f749c2-c49d-47e1-90d4-c321d190e893%2F4fwgawa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider two assets with the following returns:
State Prob. of state
1
2
2/3
1/3
R1 R2
.03 .05
.09 .02
(a) Compute the optimal portfolio for an investor having a Bernoulli utility of net returns
Inr. In other words, the investor maximizes
u(r)
max Eu [aR₁(1 − a) R2]
-
a
(b) Compute the certainty equivalent of the optimal portfolio.
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