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: Stock fund (S) Bond fund (B) Expected Return 16% Standard Deviation 34% 10% 25% The correlation between the fund returns is 0.17. roblem 6-11 (Algo)
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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) 19 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% 12A 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 deviationA 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. Note: 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 9%. The characteristics of the risky funds are 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. 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.)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 8%. The characteristics of the risky funds are as follows: Expected Standard Stock fund (S) Return Deviation 30% 15 20% 12 Bond fund (B) The correlation between the fund returns is 0.10. 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. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviationA 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 4%. The characteristics of the risky funds are as follows: Stock fund (S) Exp. Return Bond fund (B) 0.43 15% O 1.00 0.70 11% The correlation between the fund returns is 0.2. Solve numerically for the Sharpe Ratio of the optimal risky portfolio. 0.66 Std. Deviation 0.85 26% 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 8%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 17% Standard Deviation 38% 13 18 The correlation between the fund returns is 0.12. Required: a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Complete this question by entering your answers in the tabs below. Req A1 Req A2 What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. Expected return Standard deviationA 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 5.9%. The probability distribution of the risky funds is as follows: Stock fund (5) Bond fund (8) Expected Return 20% The correlation between the fund returns is 0.19 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 and round your final answers to 2 decimal places. Omit the "%" sign in your response.) Portfollo invested in the stock Portfolio invested in the bond Expected retur Standard deviation % Standard Deviation 49% 41 %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: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.25. Expected Return 17% 11% Expected return Standard deviation Required: What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % Standard Deviation 32% 23%
- 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: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.25. Expected Return 17% 11% Required: What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) X Answer is complete but not entirely correct. Expected return Standard deviation 14.67 X % 23.83 % Standard Deviation 38% 29%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%…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 8%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (5) 19 % 34% Bond fund (8) 10 18 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.