Assume that you manage a risky portfolio with an expected rate of return of 20% and astandard deviation of 46%. The T-bill rate is 5%.A client prefers to invest in your portfolio a proportion (y) that maximizes the expectedreturn on the overall portfolio subject to the constraint that the overall portfolio'sstandard deviation will not exceed 35%a. What is the investment proportion, y? (Do not round intermediate calculations. Enteryour answer as a percentage rounded to two decimal places.)Investment proportion yb. What is the expected raintermediate calculations. Enter your answer as a percentage rounded to twodecimal places.)of return on your client's overall portfolio? (Do not rounRate of return

a.Given,Standard Deviation of Portfolio = 46%New Standard Deviation of Portfolio = 35% Calculation…

Answered: Assume that you manage a risky…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 13P

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Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?
Assume that you manage a risky portfolio with an expected rate of return of 15% and a standard deviation of 40%. The T-bill rate is 5% A client prefers to invest in your portfolio a proportion (y) that maximizes the expected return on the overall portfolio subject to the constraint that the overall portfolio's standard deviation will not exceed 30%. What is the investment proportion, y? What is the expected rate of return on the overall portfolio
You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 31%. The T-bill rate is 5%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio’s standard deviation will not exceed 19%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
If your portfolio includes 35 percent of X, 40 percent of Y and 25 percent of Z, answer the following questions: (a) Calculate the portfolio expected return. (b) Calculate the variance and the standard deviation of the portfolio. (c) If the expected T-bill rate is 3.80 percent, calculate the expected risk premium on the portfolio. (d) If the market index fund has the same expected return as your portfolio, without considering any transaction cost, would you consider selling your portfolio and investing the market index fund instead? Explain your thoughts.
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 6.4 percent and a standard deviation of 9.4 percent. The risk-free rate is 3.4 percent, and the expected return on the market portfolio is 11.4 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .39 correlation with the market portfolio and a standard deviation of 54.4 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
You manage a risky portfolio containing 25% of Stock A, 32% of Stock B and 43% of Stock C, respectively, with expected rate of return of 18% and standard deviation of 28%. The Tbill rate is 8%. Draw the Capital Allocation Line (CAL) of your portfolio on an expected returnstandard deviation diagram. What is the slope of the CAL? Suppose that the client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. Show the position of your client on your fund’s CAL. What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund?
What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? , assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%.
You manage a risky portfolio with an expected rate of return of 21% and a standard deviation of 33%. The T-bill rate is 7%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client’s? (Do not round intermediate calculations. Round your answers to 4 decimal places.)
You manage a risky portfolio with expected rate of return of 18% and standard deviation of 28%. The T-bill rate is 8%. a. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. What is the expected value and standard deviation of the rate of return on his portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio? Your client’s? c. Draw the CAL of your portfolio on an expected return–standard deviation diagram. What is the slope of the CAL? Show the position of your client on your fund’s CAL. d. Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. What is the proportion y? What is the standard deviation of the rate of return on your client’s portfolio? e. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject…
You are faced with two portfolios which you have been asked to rank in terms of selectivity. You have the following information: Risk-free rate is 4% Return on the market portfolio is 8% Return on portfolio A is 17% Return on portfolio B is 16% Actual beta of Portfolio A is 1.2, while target beta is 1 Actual beta of Portfolio B 1.0, while target beta is 0.9 Standard deviation of Portfolio A is 17% Standard deviation of Portfolio B 15% Standard deviation of the market portfolio is 7% Using Fama Decomposition, calculate the following for each portfolio: a) Return from Investor's risk b) Return from Manager's risk c) Return from Diversification d) Return from Net Selectivity e) Rank the performance of both portfolios based on return from selectivity and comment on your results
You manage a risky portfolio with an expected rate of return of 22% and a standard deviation of 35%. The T-bill rate is 6%. Your risky portfolio includes the following investments in the given proportions: Stock A 33% Stock B 36% Stock C 31% Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 18%. a. What is the proportion y? (Round your answer to the nearest whole number.) b. What are your client’s investment proportions in your three stocks and the T-bill fund? (Do not round intermediate calculations. Round your answers to 2 decimal place.) c. What is the standard deviation of the rate of return on your client’s portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal place.)
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. The expected return on the optimal risky portfolio is approximately ____?____. Using the risk and return profile calculated in Q10 and Q11 (standard deviation of the optimal risky portfolio is 21.4%), what is the percentage weight that you need to invest in the optimal risky portfolio if you want your complete portfolio to achieve 12% return? ___?___

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