A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a Jong-erm government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock Fund (S) Bond Fund (B) a b. The correlation between the fund returns is -0.2 Calculate the following variables: Risk Premium of stock Fund Risk Premium of Bond Fund Variance of Stock Fund Variance of Bond Fund Covariance between Stock Fund and Bond Fund Write down the formulas you used to complete the table above 17% 10% W₁ 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Tabulate the investment opportunities set of the two risky funds. Use investment proportions for the stock fund of 0% to 100% in increments of 10%. From these options identify the portfolios closest to the minimum variance and optimal portfolios (do not use formulas)? Explain how to identify them. E(R₂) Sharpe W₁ 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% 24% 14% 0₂ Visual approximation of the portfolio closest to the minimum variance portfolio and explanation on how to find i

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a
song-serm government and corporate bond fund, and the third is a T-bill money market fund that yields a sure
rate of 5%. The probability distributions of the risky funds are:
Standard Deviation
Expected Return
17%
24%
14%
10%
Stock Fund (S)
Bond Fund (B)
The correlation between the fund returns is -0.2
) Calculate the following variables:
Risk Premium of stock Fund
Risk Premium of Bond Fund
Variance of Stock Fund
Variance of Bond Fund
Covariance between Stock Fund and Bond Fund
Write down the formulas you used to complete the table above
a
b.
Tabulate the investment opportunities set of the two risky funds. Use investment proportions for
the stock fund of 0% to 100% in increments of 10%. From these options identify the portfolios closest to
the minimum variance and optimal portfolios (do not use formulas)? Explain how to identify them.
E(R₂)
W₁
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
W₁
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
Op
Sharpe
Visual approximation of the portfolio closest to the minimum variance portfolio and explanation on how to find it:
Transcribed Image Text:A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a song-serm government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5%. The probability distributions of the risky funds are: Standard Deviation Expected Return 17% 24% 14% 10% Stock Fund (S) Bond Fund (B) The correlation between the fund returns is -0.2 ) Calculate the following variables: Risk Premium of stock Fund Risk Premium of Bond Fund Variance of Stock Fund Variance of Bond Fund Covariance between Stock Fund and Bond Fund Write down the formulas you used to complete the table above a b. Tabulate the investment opportunities set of the two risky funds. Use investment proportions for the stock fund of 0% to 100% in increments of 10%. From these options identify the portfolios closest to the minimum variance and optimal portfolios (do not use formulas)? Explain how to identify them. E(R₂) W₁ 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% W₁ 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% Op Sharpe Visual approximation of the portfolio closest to the minimum variance portfolio and explanation on how to find it:
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