Intermediate Financial Management
14th Edition
ISBN: 9780357516782
Author: Brigham, Eugene F., Daves, Phillip R.
Publisher: Cengage Learning
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Chapter 3, Problem 1MC
You have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions:
a. Suppose Asset A has an expected return of 10% and a standard deviation of 20%. Asset B has an expected return of 16% and a standard deviation of 40%. If the correlation between A and B is 0.35, what are the expected return and standard deviation for a portfolio consisting of 30% Asset A and 70% Asset B?
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Sharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments: X, Y, and Z. Assume that the measure of risk Sharon cares about is an asset's standard deviation. The expected returns and standard deviations of the investments are as follows:
Investment
Expected
return
Standard
deviation
X
17%
7%
Y
17%
8%
Z
17%
9%
a. If Sharon were risk neutral, which investment would she select? Explain why.
b. If she were risk averse, which investment would she select? Why?
c. If she were risk seeking, which investments would she select? Why?
d. Suppose a fourth investment, W, is available. It offers an expected return of 18%,and it has a standard deviation of 9%. If Sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose?
You are an investment analyst at an asset management firm. Your colleague, the in-house economist,
has analyzed all the risky securities in your economy - A, B and C. He provides you with the following
statistics:
Securities
Expected Returns
Standard Deviation 0.35 0.25 0.18
A B C
0.15 0.10 0.075 0.03
Risk-Free
The Correlation between A and B is 0.2, between B and C is 0.5, and between A and C is 0.3. The
prevailing risk-free rate is 3%.
What is the Sharpe ratio of the market portfolio in this economy?
John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets:
Portfolio
Expected return
Standard deviation
Q
7.8%
10.5%
R
10.0%
14.0%
S
4.6%
5.0%
T
11.7%
18.5%
U
6.2%
7.5%
(a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%.
(b) Using answers from a, which of these five portfolios is most likely to be the market portfolio and explain why. (200 words maximum)
(c) If you are only willing to make an investment with a standard deviation of 7.0%, is it possible for you to earn a return of 7.0%?
(d) What is the minimum level of risk that would be necessary for an investment to earn 7.0%? What is the composition of the…
Chapter 3 Solutions
Intermediate Financial Management
Ch. 3 - Security A has an expected rate of return of 6%, a...Ch. 3 - The standard deviation of stock returns for Stock...Ch. 3 - APT
An analyst has modeled the stock of Crisp...Ch. 3 - Two-Asset Portfolio
Stock A has an expected return...Ch. 3 - Prob. 4PCh. 3 - You have been hired at the investment firm of...Ch. 3 - You have been hired at the investment firm of...Ch. 3 - You have been hired at the investment firm of...Ch. 3 - You have been hired at the investment firm of...Ch. 3 - You have been hired at the investment firm of...
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