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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Chapter7: Uncertainty
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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.
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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