Question
In: Finance
A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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 8%. The probability distribution of the risky funds is as follows:
| Expected Return | Standard Deviation | |||||
| Stock fund (S) | 17 | % | 30 | % | ||
| Bond fund (B) | 11 | 22 | ||||
The correlation between the fund returns is 0.10.
a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
Portfolio invested in the stock-
Portfolio invested in the bond-
a-2. What is the expected value and standard deviation of its rate of return? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
Rate of Return
Expected return-
Standard deviation-
Solutions
Calculation: -
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jeff jeffy answered 2 years agoRelated Solutions
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A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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 sure rate of 5.5%. The probability distributions of
the risky funds are:
Expected Return
Standard Deviation
Stock fund (S)
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45%
Bond fund (B)
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39%
The correlation between the fund returns is 0.0385.
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A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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 sure rate of 5.5%. The probability distributions of
the risky funds are:
Expected Return
Standard Deviation
Stock fund (S)
16%
45%
Bond fund (B)
7%
39%
The correlation between the fund returns is 0.0385.
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A pension fund manager is considering three mutual funds. The first is a stock fund, the...
A pension fund manager is considering three mutual funds. The
first is a stock fund, the second is a long-term government and
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that yields a sure rate of 4.7%. The probability distributions of
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Expected Return
Standard Deviation
Stock fund (S)
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Bond fund (B)
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The correlation between the fund returns is 0.1065.
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A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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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 sure rate of 5.8%. The probability distributions of
the risky funds are:
Expected Return Standard Deviation
Stock fund (S) 19% 48%
Bond fund (B) 9% 42%
The correlation between the fund returns is 0.0762.
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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 sure rate of 5.5%. The probability distributions of the risky funds are:Expected ReturnStandard DeviationStock fund (S)15%32%Bond fund (B)9%23%The correlation between the fund returns is .15 What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do not...
A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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 sure rate of 4.1%. The probability distributions of
the risky funds are:
Expected Return
Standard Deviation
Stock fund (S)
11
%
33
%
Bond fund (B)
8
%
25
%
The correlation between the fund returns is .1560.
Suppose now that your portfolio...
A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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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
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Expected Return
Standard Deviation
Stock fund (S)
20%
49%
Bond fund (B)
9%
43%
The correlation between the fund returns is 0.0721.
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that yields a sure rate of 5.0%. The probability distributions of
the risky funds are:
Expected Return
Standard Deviation
Stock fund (S)
11%
40%
Bond fund (B)
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The correlation between the fund returns is 0.0500.
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A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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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 sure rate of 5.4%. The probability distributions of
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Expected Return
Standard Deviation
Stock fund (S)
15
%
44
%
Bond fund (B)
8
%
38
%
The correlation between the fund returns is .0684.
Suppose now that your portfolio...
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