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?
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- Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of 14.4% and standard deviation of 4.4%. a. What is the probability that the large-cap stock fund has a return of at least 20%? b. What is the probability that the large-cap stock fund has a return of 10% or less?Suppose that you initially invested 10,000 in the Stivers mutual fund and 5,000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided in the table: Which of the two mutual funds performed better over this time period?The file MutualFunds contains a data set with information for 45 mutual funds that are part of the Morningstar Funds 500. The data set includes the following five variables: Fund Type: The type of fund, labeled DE (Domestic Equity), IE (International Equity), and FI (Fixed Income) Net Asset Value (): The closing price per share Five-Year Average Return (%): The average annual return for the fund over the past five years Expense Ratio (%): The percentage of assets deducted each fiscal year for fund expenses Morningstar Rank: The risk adjusted star rating for each fund; Morningstar ranks go from a low of 1 Star to a high of 5 Stars. a. Prepare a PivotTable that gives the frequency count of the data by Fund Type (rows) and the five-year average annual return (columns). Use classes of 09.99, 1019.99, 2029.99, 3039.99, 4049.99, and 5059.99 for the Five-Year Average Return (%). b. What conclusions can you draw about the fund type and the average return over the past five years?
- 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) 20% 30% Bond fund (b) 12 15 The correlation between the fund returns is .10.Tabulate and draw the investment opportunity set of the two risky funds. Use investment proportions for the stock fund of 0% to 100% in increments of 20%.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) 19% 34% Bond fund (B) 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. (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 government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 5.4%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 15% 44% Bond fund (B) 8 38 The correlation between the fund returns is 0.15.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.)
- 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 20% 30% Bond Fund 12 15 The correlation between the fund returns is 0.10. Tabulate the investment opportunity set of the two risky funds. (Round your answers to 2 decimal places.) Proportion in Stock fund Proportion in bond fund Expexted return Standard deviation 0% 100% 20% 80% 40% 60% 60% 40% 80% 20% 100% 0%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%. Thecharacteristics of the risky funds are as follows: The correlation between the fund returns is 0.13. Yourequire that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepestfeasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)Standard deviation b. What is the proportion invested in the money market fund and each of the two riskyfunds? (Round your answers to 2 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 rate of 8%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (s) 20% 30% Bond fund (b) 12 15 The correlation between the fund returns is .10. What are the investment proportions in the minimum-variance portfolio of the two risky funds, and what is the expected value and standard deviation of its rate of return?
- 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 4.5%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 15% 40% Bond fund (B) 9% 31% The correlation between the fund returns is 0.15. 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.)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) 17% 32% Bond fund (B) 11% 23% The correlation between the fund returns is 0.25. 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.) Portfolio Invested in 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 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 distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 16% 36% Bond fund (B) 10% 27% The correlation between the fund returns is 0.20 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.) Portfolio invested in the stock % Portfolio invested in the bond % Expected return % Standard deviation %