Investments
11th Edition
ISBN: 9781259277177
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Question
Chapter 7, Problem 6PS
Summary Introduction
To calculate: The risk-free rate to the opportunity set which tangent is to be drawn. The result of the expected return and the standard deviation of the optimal portfolio are also to be determined.
Introduction: The portfolio risk is defined as the combination of assets which carries its own risk with each investment.
The standard deviation is used to determine that in which manner the values from a data set vary from its mean value. This is calculated by the square root of the variance.
The expected return is defined as the return which is obtained on the risky asset that is expected in future.
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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 6%. The probability distribution of the risky funds is as follows:
E(r)
st. dev.
stock fund
.24
.33
bond fund
.14
.22
The correlation between the fund returns is 0.14.
You require that your portfolio yield an expected return of 16%, and that it be efficient, on the best feasible CAL.
a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)
b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.)
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third
is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
The correlation between the fund returns is 0.10.
You require that your portfolio yield an expected return of 16%, and that it be efficient, that is, on the steepest feasible CAL.
a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)
Standard deviation
Expected Return Standard Deviation
198
31%
23
14
Money market fund
Stocks
Bonds
19.33 %
b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal
places.)
Proportion
Invested
You plan to invest in either a mutual fund X or mutual fund Y. The following
information about the annual return (%) of each of these investments under different
demand levels is available, along with the probability that each of these states of
nature will OCcur:
Demand
Probability Fund X
Fund Y
High
0.4
30%
25%
Medium
0.4
22%
34%
low
0.2
17%
25%
a) Compute expected return, standard deviation for each investment and
covariance of the mutual fund X and mutual fund Y.
b) Would you invest in the mutual fund X or Y? Explain.
c) If you chose to invest in mutual fund X and the state of nature turns up to be
the low demand, what do you think about the possibility of the opportunity loss
of 8% in comparison to investing in mutual fund Y?
Chapter 7 Solutions
Investments
Ch. 7 - Prob. 1PSCh. 7 - Prob. 2PSCh. 7 - Prob. 3PSCh. 7 - Prob. 4PSCh. 7 - Prob. 5PSCh. 7 - Prob. 6PSCh. 7 - Prob. 7PSCh. 7 - Prob. 8PSCh. 7 - Prob. 9PSCh. 7 - Prob. 10PS
Ch. 7 - Prob. 11PSCh. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - Prob. 17PSCh. 7 - Prob. 18PSCh. 7 - Prob. 19PSCh. 7 - Prob. 20PSCh. 7 - Prob. 21PSCh. 7 - Prob. 22PSCh. 7 - Prob. 23PSCh. 7 - Prob. 1CPCh. 7 - Prob. 2CPCh. 7 - Prob. 3CPCh. 7 - Prob. 4CPCh. 7 - Prob. 5CPCh. 7 - Prob. 6CPCh. 7 - Prob. 7CPCh. 7 - Prob. 8CPCh. 7 - Prob. 9CPCh. 7 - Prob. 10CPCh. 7 - Prob. 11CPCh. 7 - Prob. 12CPCh. 7 - Prob. 13CP
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