1. Portfolio Choice Assume that r₁=.02 E(R)-.18 and market) portfolio. Suppose that an investor's preferences are given by U-E(R)-20 " m where T. denotes the tangency (or where P denotes the investor's portfolio choice which combines proportion W of the market portfolio and proportion 1- W of the risk-free asset. A. Is this investor risk loving or risk averse? Please explain your reasoning. B. If the investor wants to maximize utility by allocating her wealth between the market portfolio and the risk-free asset, what proportion of wealth should she hold in the risk- free asset (1-W)? What is the risk and expected return of this utility-maximizing portfolio? Please explain your answers and illustrate graphically, being careful to label all axes.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 13QTD
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1. Portfolio Choice
1
Assume that .02 E(R)-.18 and
market) portfolio. Suppose that an investor's preferences are given by
3 where T. denotes the tangency (or
U-ER)-20;
where P denotes the investor's portfolio choice which combines proportion W of the
market portfolio and proportion 1-W of the risk-free asset.
A. Is this investor risk loving or risk averse? Please explain your reasoning.
B. If the investor wants to maximize utility by allocating her wealth between the market
portfolio and the risk-free asset, what proportion of wealth should she hold in the risk-
free asset (1-W)? What is the risk and expected return of this utility-maximizing
portfolio? Please explain your answers and illustrate graphically, being careful to label
all axes.
Transcribed Image Text:1. Portfolio Choice 1 Assume that .02 E(R)-.18 and market) portfolio. Suppose that an investor's preferences are given by 3 where T. denotes the tangency (or U-ER)-20; where P denotes the investor's portfolio choice which combines proportion W of the market portfolio and proportion 1-W of the risk-free asset. A. Is this investor risk loving or risk averse? Please explain your reasoning. B. If the investor wants to maximize utility by allocating her wealth between the market portfolio and the risk-free asset, what proportion of wealth should she hold in the risk- free asset (1-W)? What is the risk and expected return of this utility-maximizing portfolio? Please explain your answers and illustrate graphically, being careful to label all axes.
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