To discuss: The fund that is recommended by Person X (financial advisor) without knowing about the client’s risk.
Introduction:
Portfolio refers to a set of financial investments owned by an investor. The portfolio of investments includes debentures, stocks, bonds, and mutual funds.
The average return that is incurred in excess of the risk-free rate per unit of the volatility is termed as Sharpe ratio. Its measure indicates the amount of excess return that an investor incurs for an additional volatility, which the investor endures for holding a risky asset. The efficient portfolio is a particular portfolio with the maximum Sharpe ratio in an economy.
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Corporate Finance: The Core (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
- 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 ReturnStandard DeviationStock 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 THE STOCKS PORTFOLIO INVESTED IN THE BONDS EXPECTED RETURN STANDARD DEVIATION PLEASE ANSWER ASAP.arrow_forward[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 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: What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4 decimal places.)arrow_forwardA 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.)arrow_forward
- 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.)arrow_forward[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: Expected Return Standard Deviation Stock fund (S) 16% 40% Bond fund (B) 10% 31% The correlation between the fund returns is 0.11. Required: What is the Sharpe ratio of the best feasible CAL?arrow_forward[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: Expected Return Standard Deviation Stock fund (S) 16% 32% Bond fund (B) 10% 23% The correlation between the fund returns is 0.20 Required: What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4 darrow_forward
- 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) 16% 40% Bond fund (B) 10% 31% The correlation between the fund returns is 0.11. 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 the Stock ___% Portfolio Invested in the Bond ___% Expected Return___% Standard Deviation ___%arrow_forwardSuppose that a mutual fund agent approaches you and promote a fund which allows you to withdraw money from your Employment Provident Fund (EPF) to invest. From the analysis of the agent, the fund expected to pay up to 11% return, and you know that EPF paid an average 6% return and treasury’s return fixed at 2.75%. Based on the discussion in this chapter and in your opinion, are you going to take the investment? Justify your answerarrow_forwardPlease show working Please answer ALL OF QUESTIONS 1 AND 2 1. Suppose you are the money manager of a $4.95 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 280,000 1.50 B 460,000 (0.50) C 1,260,000 1.25 D 2,950,000 0.75 If the market's required rate of return is 8% and the risk-free rate is 4%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. 2. Madsen Motors's bonds have 13 years remaining to maturity. Interest is paid annually; they have a $1,000 par value; the coupon interest rate is 10%; and the yield to maturity is 5%. What is the bond's current market price? Round your answer to the nearest cent.arrow_forward
- 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 6%. The probability distribution of the risky funds is as follows: E(r) st. dev. stock fund .24 .33 bond fund .14 .22 The correlation between the fund returns is 0.14. You require that your portfolio yield an expected return of 16%, and that it be efficient, on the best feasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.)arrow_forwardA 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 20% 30% Bond Fund 12% 15% The correlation between the fund returns is 0.1 rho 0.1 rf 8% Suppose you are an investor with the utility function U = ER - 0.5Aσ^2, and your risk aversion is 4. What is your optimal allocation in the stock funds? Suppose you are an investor with the utility function U = ER - 0.5Aσ^2, and your risk aversion is 2. What is your optimal allocation in the stock funds?arrow_forwardThe 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 ratioarrow_forward
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