- Exercise 2 An investor who maximizes a linear mean-variance utility, U(µp, σp) μpaσ, optimally invests half of her wealth in asset 1, having expected re- turn μ₁ = 10% and standard deviation σ1 10%, and half of her wealth in a risk-free asset, having return FR = 4%. = (a) Find the efficient frontier and represent it in the plane (σp, μP) (assuming that the investor feasible portfolios can include a short position in the risk- free asset). (b) Find the risk-aversion parameter a of the investor. (c) Using the same efficient frontier, for which levels of risk-aversion parameter the investor has a negative position in the risk-free asset? =

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Question
-
Exercise 2 An investor who maximizes a linear mean-variance utility, U(µp, σp)
μpaσ, optimally invests half of her wealth in asset 1, having expected re-
turn μ₁ = 10% and standard deviation σ1 10%, and half of her wealth in a
risk-free asset, having return FR = 4%.
=
(a) Find the efficient frontier and represent it in the plane (σp, μP) (assuming
that the investor feasible portfolios can include a short position in the risk-
free asset).
(b) Find the risk-aversion parameter a of the investor.
(c) Using the same efficient frontier, for which levels of risk-aversion parameter
the investor has a negative position in the risk-free asset?
=
Transcribed Image Text:- Exercise 2 An investor who maximizes a linear mean-variance utility, U(µp, σp) μpaσ, optimally invests half of her wealth in asset 1, having expected re- turn μ₁ = 10% and standard deviation σ1 10%, and half of her wealth in a risk-free asset, having return FR = 4%. = (a) Find the efficient frontier and represent it in the plane (σp, μP) (assuming that the investor feasible portfolios can include a short position in the risk- free asset). (b) Find the risk-aversion parameter a of the investor. (c) Using the same efficient frontier, for which levels of risk-aversion parameter the investor has a negative position in the risk-free asset? =
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