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: Stook fund (S) Bond fund (B) Expected Return Standard Deviation 16% 38% 12 21 The correlation between the fund returns is 0.12. 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 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: Stook fund (S) Bond fund (B) Expected Return Standard Deviation 16% 38% 12 21 The correlation between the fund returns is 0.12. 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

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You want to evaluate two mutual funds using the information ratio measure for performance evaluation. The risk-free return during the sample period is 5.00%, and the average return on the market portfolio is 18.00%. The average returns, residual standard deviations, and betas for the three funds are given below. Average Return Fund A 18% Fund B 21% Residual Standard Deviation 4.00% 27% 1.25% 27% Standard Deviation What is Fund A's Sharpe Ratio? [Select] Beta 0.75 1.00 What is Fund A's Information Ratio? [Select]
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. Problem 6-9 (Algo) Required: 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.) × Answer is complete but not entirely correct. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation 76.00 ×% 24.00 ×% 14.84 % 21.39 %
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 5.5%. The probability distribution of the risky funds is as follows: Expected return Standard Deviation Stock fund (S) 16% 32% Bond fund (B) 10 23 The correlation between the fund returns is 0.20. Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL. Required:a. What is the standard deviation of your portfolio? What is the proportion invested in the T-bill fund? What is the proportion invested in each of the two risky funds? Proportion Invested Stocks % Bonds %
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) The correlation between the fund returns is 0.10. Proportion in Stock Fund Expected Standard Return Deviation 20% 12 Tabulate the investment opportunity set of the two risky funds. Note: Round your answers to 2 decimal places. 0.00 % 20.00 40.00 60.00 80.00 100.00 Proportion in Bond Fund 30% 15 100.00 % 80.00 60.00 40.00 20.00 0.00 Expected Return % Standard Deviation %
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 Bond fund Expected Return 17% 11 Standard Deviation 34% 25 The correlation between the fund returns is 0.15. Required: What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Sharpe ratio
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 0.91. Year 2018 2019 2020 2021 2022 Fund -20.60% 25.10 13.90 7.60 -2.10 Market -39.50% 21.00 13.90 8.80 -5.20 Risk-Free 1% 3 2 4 2 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.
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%
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 -15,2% 25.1 12.4 6.2 -1.2 Sharpe ratio Treynor ratio Market -24.5% 19.5 9.4 7.6 -2.2 Risk-Free 1% 3 2 4 2 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal 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 5%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return Standard Deviation 19% 32% 15 12 The correlation between the fund returns is 0.11. What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 places.) Sharpe ratio
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 5%. The characteristics of the risky funds are as follows: Stock fund (5) Bond fund (D) Expected Return Standard deviation 30% 16 22% 12 The correlation between the fund returns is 0.10. What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 places) Answer is complete but not entirely correct. Sharpe ratio 0.1679 €
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 0.12. Problem 6-11 (Algo) Expected Return 16% 10% Standard deviation Suppose now that your portfolio must yield an expected return of 13% 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 40% 31%
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 5%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 17% 13 Standard Deviation 38% 18 The correlation between the fund returns is 0.12. Sharpe ratio What is the Sharpe ratio of the best feasible CAL? Note: Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 places.

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