John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets: Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% (a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%.

John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets: Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% (a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%.

Entrepreneurial Finance

6th Edition

ISBN:9781337635653

Author:Leach

Publisher:Leach

Chapter7: Types And Costs Of Financial Capital

Section: Chapter Questions

Problem 5EP

See similar textbooks

Similar questions

You have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions: Suppose a risk-free asset has an expected return of 5%. By definition, its standard deviation is zero, and its correlation with any other asset is also zero. Using only Asset A and the risk-free asset, plot the attainable portfolios.
John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets: Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% (a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%. (b) Using answers from a, which of these five portfolios is most likely to be the market portfolio and explain why. (200 words maximum) (c) If you are only willing to make an investment with a standard deviation of 7.0%, is it possible for you to earn a return of 7.0%? (d) What is the minimum level of risk that would be necessary for an investment to earn 7.0%? What is the composition of the…
John Davidson is an investment adviser at Leeds Asset Management plc. He is asked by a client to evaluate various investment opportunities currently available and he has calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets: Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% (a) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%. (b) Using answers from a, which of these five portfolios is most likely to be the market portfolio and explain why. (200 words maximum)
During a particular investment period, a wealth management company held an investment portfolio that earned an average return of 13% with standard deviation of 30% and beta of 1.5. The average risk-free rate of return during this investment period was 2%. (full process) (a)     Calculate the Sharpe and Treynor measures of performance evaluation for this investment portfolio. This investment portfolio is composed of the following two asset classes: Asset Class Weight Return Equity 0.80 15% Bonds 0.20 5% During this particular investment period, the information on a benchmark portfolio is given in the following table. Asset Class Weight Return Equity (S&P500 Index) 0.50 17% Bonds (Lehman Brothers Index) 0.50 5% (b)     Determine whether the investment portfolio of the wealth management company performed better than the benchmark portfolio in terms of the total…
as the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 9, while Mr. B has a risk-tolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock bond ER σ2 1 9% 91% 8% 5% 2 21 79 9 9 3 69 31 10 14 4 84 16 11 24 Calculate the expected utility of each prospective portfolio for each of the two clients. Do not round intermediate calculations. Round your answers to two decimal places. Portfolio Ms. A Mr. B 1       2       3       4
You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets. PORTFOLIO                        EXPECTED RETURN                         STANDARD DEVIATION Q                                            7.8%                                                     10.5% R                                            10.0%                                                   14.0% S                                             4.6%                                                     5.0% T                                             11.7%                                                   18.5% U                                            6.2%                                                     7.5% a) For each portfolio, calculate the risk premium per unit of risk that you expect to receive [(E(R) –RFR)/ơ]. Assume that the risk free rate is 3.0%. b) Using…
As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risktolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER o^2 1 5% 95% 8% 5% 2 25% 75% 9% 10% 3 70% 30% 10% 16% 4 90% 10% 11% 25% a. Calculate the expected utility of each prospective portfolio for each of the two clients. b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Explain why there is a difference in these two outcomes. c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate.
You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets:Portfolio Expected Return Standard DeviationQ 7.8% 10.5%R 10.0 14.0S 4.6 5.0T 11.7 18.5U 6.2 7.5a. For each portfolio, calculate the risk premium per unit of risk that you expect to receive ([E(R) − RFR]/σ). Assume that the risk-free rate is 3.0 percent.b. Using your computations in Part a, explain which of these five portfolios is most likely tobe the market portfolio. Use your calculations to draw the capital market line (CML).c. If you are only willing to make an investment with σ = 7.0%, is it possible for you toearn a return of 7.0 percent?d. What is the minimum level of risk that would be necessary for an investment to earn7.0 percent? What is the composition of the portfolio along the CML that will generatethat expected return?e. Suppose you are now willing to make an investment…
As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risk-tolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER σ2 1 6 % 94 % 9 % 6 % 2 25 75 10 10 3 67 33 11 14 4 88 12 12 24 Calculate the expected utility of each prospective portfolio for each of the two clients. Do not round intermediate calculations. Round your answers to two decimal places. Portfolio Ms. A Mr. B 1 2 3 4 Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Portfolio represents the optimal strategic allocation for Ms. A. Portfolio is the optimal allocation for Mr. B. For Ms. A, what level of…
The following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.
Jack Ma is attempting to evaluate two possible portfolios – both consisting of the same five assets but held in different proportions. He is particularly interested in using beta to compare the risk of the portfolios and in this regard has gathered the following data. assets assets beta Portfolio A Portfolio B 1 1.30 10% 30% 2 0.70 30% 10% 3 1.25 10% 20% 4 1.10 10% 20% 5 0.90 40% 20% a) Calculate the betas for portfolio A and B. b) Compare the risk of each portfolio to the market as well as to each other C) Which portfolio is more risky and why?
The firm wishes to estimate the beta of a portfolio that consists of two assets X and Y. The investment manager of the firm has gathered the following information on the two assets. Securities Rate of Return Standard Deviation Beta X 20% 20% 1.5 Y 10% 30% 1.0 Risk free asset 5% Calculate: The beta of the portfolio if 75% of the funds are invested in Y and 25% in X The portfolio expected return and the portfolio beta if you invest 35 % in X, 45% in Y and 20 % in the risk-free asset Assuming the CAPM applies, if the market’s expected return is 13 percent, the risk free rate is 8% and stock X’s required rate of return is 16%, what is the stock’s beta coefficient?