8-7 PORTFOLIO REQUIRED RETURN Suppose you are the money manager of a $4.82 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $460,000 1.50 B 500,000 (0.50) C 1,260,000 1.25 D 2,600,000 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?

8-7 PORTFOLIO REQUIRED RETURN Suppose you are the money manager of a $4.82 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $460,000 1.50 B 500,000 (0.50) C 1,260,000 1.25 D 2,600,000 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?

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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INV 1 6f You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 5%. Your estimate of the relevant parameters for the equities and bond funds are as follows: Expected Return Standard Deviation Equities .15 .30 Bonds .06 .09 The correlation between the fund returns is 0.12. Compare the portfolios in #4 and #5. Is this consistent with what you would expect when adding the T-bill money market fund as essentially the risk-free asset?
p 19 A portfolio analyst has been asked to allocate investment funds among three different stocks. The relevant data for the stocks is shown in the following table f the goal is to maximize return while maintaining risk within acceptable bounds (in this case, a portfolio standard deviation of no more than 20%, find the proper allocation of the funds to each stock O Ak Risk (Standard Deviation to 5) 25% 12% 10% What is the expected retum of the optimal stock portfolio? Stock A B C O Multiple Choice O Return (R) 20% O 10% 15% 17.9% 15 15 19.15 36.4% Pair of Stocks A to B A to C to C Help Joint Risk (Covariance) 0.05 0.075 -0.05 Save & Exit Submit
3
23. What return should be expected from investing in the market portfolio that is expected to yield 18% if the investment includes all of the investor's funds plus 30% additional funds borrowed at the risk-free rate of 6%? A. 18.6% B. 19.6% C. 21.6% D. 24.0%
quiz 8-15
Problem 5 Assume that you manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate (risk-free rate) is 7%. Your client chooses to invest 70% in the risky portfolio in your fund and 30% in a T-bill money market fund. We assume that investors use mean-variance utility: U = E(r) – 0.5 x Aa?, where E(r) is the expected return, A is the risk aversion coefficient and o? is the variance of returns. a) What is the expected value and standard deviation of the rate of return on your client's portfolio? b) What is the reward-to-volatility ratio (Sharpe ratio) of your risky portfolio? What is the reward-to-volatility ratio (Sharpe ratio) of your client's risky portfolio? Comment on the relationship between these two Sharpe ratio calculated and explain the intuition behind. c) Draw the Capital Allocation Line (CAL) of your portfolio on an expected return- standard deviation diagram. What is the slope of the CAL? Show the position of your…
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5. Problem 8.07 (Portfolio Required Return) Suppose you are the money manager of a $4.48 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A S 340,000 1.50 B 700,000 (0.50) C 940,000 1.25 D 2,500,000 0.75 If the market's required rate of return is 11% and the risk - free rate is 5%, what is the fund's what required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. %
Problem 1. The following are estimates for two stocks. Firm-Specific Standard Deviation 25% 40 Stock Expected Return Beta 7% A 0.90 1.30 B 11 The market index has a standard deviation of 24% and the risk-free rate is 4%. a) What are the standard deviations of stocks A and B? b) Suppose we build a portfolio with the following weights: 50% in stock A, 40% in stock B, and 10% in risk- free T-bills. Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio
3. Problem 8.07 (Portfolio Required Return) BA eBook Problem Walk-Through Suppose you are the money manager of a $5.02 million investment fund. The fund consists of four stocks with the following investments and betas: Investment $ 260,000 600,000 1,560,000 2,600,000 с D If the market's required rate of return is 12% and the risk-free rate is 5%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. % Stock A B Beta 1.50 (0.50) 1.25 0.75
Fund A Fund B Expected Ret. E(r) 13.2% 8.3% Standard Deviation - \sigma 15.5% 14.7% The table above contains expected annual returns for funds A and B. Assuming that the risk free rate is 1.34% and that the correlation of returns between funds A and B is 0.32, calculate the weight of Fund A in the Optimal two - risky asset portfolio comprised of funds A and B. Note: Enter your answer in percentages rounded to the nearest one digit after the decimal point. For example, if the weight of Fund A is 15.437% or 0.15437, enter it as: 15.4
A-Z 11. Problem 8.07 (Portfolio Required Return) O Ofice еВook Problem Walk-Through Suppose you are the money manager of a $4.44 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 200,000 1.50 B 300,000 (0.50) 1,340,000 1.25 D 2,600,000 0.75 If the market's required rate of return is 11% 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. %

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