A pension fund manager is considering three mutual funds. The first in a stock fund The second is a long-term bond fund The third is a money market fund that provides a safe return of 5% The characteristics of the risky funds are as follows: Use this data for problems #5-09 5.00% Stock Fund Bond Fund Correlation (rho) 9224 6223 money market return 9123 Expected Return 28.00% What is the reward-to volatility ratio of the Optimal Capital Asset Line? This is the Sharpe Ratio. 20.00% -0.2000 Stdev 39.00% 26.00%
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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 8%. The characteristics of the risky funds are as follows: Expected Return. Stock fund (5) Bond fund (B) The correlation between the fund returns is 0.10. 19% 14 Reg A1 Standard Deviation 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? 31% 23 Complete this question by entering your answers in the tabs below. Reg 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.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 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 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 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% 12You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 2019 2020 2021 2022 Fund -15.2% 25.1 12.4 6.2 -1.2 Sortino Ratio Market -24.5% 19.5 9.4 7.6 -2.2 Risk-Free 1% 3 2 Fund 4 2 What is the Sortino ratio for the fund and the market? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers rounded to 4 decimal places. h MarketAs an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
- You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 2019 2020 2021 2022 Fund -23.0% 25.1 14.3 6.8 -2.34 Sharpe ratio Treynor ratio Market -43.5% 21.4 15.1 8.8 -5.2 Risk-Free 3% 5 2 6 2 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places.Required information [The following information applies to the questions displayed below.] 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 0.11. Expected Return 16% 10% 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 40% 31%You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.87. Year 2018 2019 2020 2021 2022 Fund -14.85% 25,10 12.90 7.20 -1.50 Jensen's alpha Information ratio Market -29.50% 20.00 10.90 8.00 -3.20 Risk-Free 3% Calculate Jensen's alpha for the fund, as well as its information ratio. Note: Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places. 5 2 5 3 %
- Required information [The following information applies to the questions displayed below.] 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 0.15. Expected Return 15% 9% Standard deviation Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL. Required: a. What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) % Standard Deviation 38% 29%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) 23% 28% Bond fund (B) 15 17 The correlation between the fund returns is 0.12. 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. Write 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 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