Consider risky Funds B and S with the following projections:FundBSExpected return6%10%Standard deviation2.5%15%Assume the correlation between Funds B and S is -0.50, and the risk-free rate for aT-bill is 5%. How much of your assets should you invest in Fund S in order toachieve the optimal risky portfolio comprised of Funds B and S?0% weight in Fund S < 25%25% weight in Fund S < 50%<50% weight in Fund S < 75%75%

Step 1:An optimal risky portfolio consists of risky and risk-free assets which maximizes the Sharpe…

Answered: Consider risky Funds B and S with the…

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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If a fund has a return of 12% and a beta of 1.4, and if the risk-free rate is 2%, and market return rate is 8%, calculate Jensen's Alpha O a. 3.6 Ob. 2.4 O c. 1.6 Od. 1.4
The average returns, standard deviation and betas for three funds and the S&P are given below. The risk-free rate is 3%. Use Fund A the risk-free asset to create a complete portfolio that has the same standard deviation as the market portfolio. What is the expected return of this complete portfolio? Fund Avg. Return Std. Dev Beta A 16% 30% 1.1 B 18% 25% 1.2 C 22% 35% 1.3 S&P 500 14% 20% 1.0
If a fund has a return of 10% and a beta of 1.5, and if the risk-free rate is 5%, and market return rate is 8%, calculate Jensen's Alpha O a. 0.5 O b. 1.4 O c. 0.65 O d. 0.42
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
You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?
A fund manager can invest in any combination of the three assets with the following expected returns and standard deviations: Asset 1: r1 = 2%, σ1 = 2% Asset 2: r2 = 6%, σ2 = 6% Asset 3: r3 = 4%, σ3 = 4% All three assets returns are uncorrelated: p12 = p13 =p 23 = 0 . Find a portfolio consisting of these three assets that achieves an expected return of 4% with the lowest risk possible. Show all steps.
You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 36%. The T-bill rate is 6%. Your client's degree of risk aversion is A = 3.1, assuming a utility function u = E(r) A02. a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return % Standard deviation %
QH. The data for the two companies X and Y are as follows: X Y Return 20% 23% Risk ( SD) 21% 25% r 0.4 Find the portfolio risk if 50% of funds is allocated for each. Determine the correlation coefficient that would be necessary to reduce the level of portfolio risk by 25%.
You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's degree of risk aversion is A = 2.0, assuming a utility function u E(r) = A0². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y Expected return Standard deviation - % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % %
1. Given the following summary statistics, Mean S.D. 1.235 0.997 Asset A 0.52 Asset B. 0.44 (a) If the correlation between the two financial series is 0.25. What are the optimal portfolio weights to minimize risk? (b) What are the expected return and standard deviation of the optimal port- folio? (c) Compute the 1% Value-at-Risk for the next 5 days (d) Compute the expected shortfall
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 30%. The T-bill rate is 6%. Your client’s degree of risk aversion is A = 3.4, assuming a utility function U = E(r) - ½Aσ². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the expected value and standard deviation of the rate of return on your client’s optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
If a fund has a return of 12% and a beta of 1.4, and if the risk-free rate is 2%, then what is its Treynor ratio O a. 7.14 Ob. 2.35 O c. 3.14 O d. 5.35

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