2. Three agents are characterized by the following utility functions: Al: u₁(x) = ln(x) A2: u₂(x) = 10x² A3: u₂(x)=2* +1 a) Calculate the expected rate of return and risk for the following assets: x₁ = (4,2 2,6/0,48 0,52) x₂ = (1,7 3,5/0,27 0,73) b) What asset will the agents with the previous utility functions choose?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.10P
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2. Three agents are characterized by the following utility functions:
Al: 4,(x)= In(x)
A2: и,(х) %3D 10х ?
АЗ: и, (х) %— 2* +1
a) Calculate the expected rate of return and risk for the following assets:
x, = (4,2 2,6/0,48 0,52)
x, = (1,7 3,5/0,27 0,73)
b) What asset will the agents with the previous utility functions choose?
Transcribed Image Text:2. Three agents are characterized by the following utility functions: Al: 4,(x)= In(x) A2: и,(х) %3D 10х ? АЗ: и, (х) %— 2* +1 a) Calculate the expected rate of return and risk for the following assets: x, = (4,2 2,6/0,48 0,52) x, = (1,7 3,5/0,27 0,73) b) What asset will the agents with the previous utility functions choose?
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