EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Question
Chapter 7, Problem 7PS
Summary Introduction
To calculate: The numerical value of the proportion of the each asset and expected return along with the standard deviation of the optimal risky portfolio.
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 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:
Expected
Return
Standard.
Deviation
Stock fund (S)
32%
Bond fund (B)
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The correlation between the fund returns is 0.11.
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.
Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
22%
12
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 9%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
Expected Return
19%
12
Standard Deviation
32%
15
The correlation between the fund returns is 0.11.
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.
(Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
Portfolio invested in the stock
Portfolio invested in the bond
Expected return
Standard deviation
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 6%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
Expected Return
16%
12
Standard Deviation
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The correlation between the fund returns is 0.13.
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.
(Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
Chapter 7 Solutions
EBK 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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