5. You manage an equity fund with an expected risk premium of 8% and an expected standard deviation of 10%. The rate on Treasury bills is 5%. Your client chooses to invest OMR70,000 of her portfolio in your equity fund and OMR30,000 in a T-bill money market fund. What is the expected return and standard deviation of return on your client's portfolio?

5. You manage an equity fund with an expected risk premium of 8% and an expected standard deviation of 10%. The rate on Treasury bills is 5%. Your client chooses to invest OMR70,000 of her portfolio in your equity fund and OMR30,000 in a T-bill money market fund. What is the expected return and standard deviation of return on your client's portfolio?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 10P

See similar textbooks

Similar questions

Assume that you manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 46%. The T-bill rate is 4%. Your client chooses to invest 85% of a portfolio in your fund and 15% in a T-bill money market fund. Required: a. What are the expected return and standard deviation of your client's portfolio? (Round your answers to 1 decimal place.) Expected retum Standard deviation b. Suppose your risky portfolio includes the following investments in the given proportions: 30% 30 40 Stock A Stock B Stock C What are the investment proportions of your client's overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) Security T-Bills Stock A Stock B Stock C Investment Proportions % per year % per year % % % % Risky portfolio Client's overall portfolio c. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? (Round your answers to 4 decimal places.) Reward-to-Volatility Ratio
1. You manage an equity fund, Panda Eyes, with an expected risk premium of 10% anda standard deviation of 14%. The risk-free rate is 6%. Your client chooses to invest£60,000 of their portfolio in your equity fund and £40,000 in the risk-free rate. # Calculate the expected return and standard deviation of the return onyour client’s portfolio.
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.) % %
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 %
Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) 13%, op = 17%, rf = 5%. %3D a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 7%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk- free asset? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Risky portfolio % Risk-free asset % b. What will be the standard deviation of the rate of return on her portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Standard deviation %
As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U}: Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 a. If the risk-free rate is 3.9 percent and the expected market risk premium (£(RM) -RFR} is 6.1 percent, calculate the expected return for each mutual fund according to the CAPM. b. Using the estimated expected returns from part (a) along with your own return forecasts, demonstrate whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. c. According to your analysis, are Funds T and U overvalued, undervalued, or properly valued?
Assume that you manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 42%. The T-bill rate is 6%. Your client chooses to invest 85% of a portfolio in your fund and 15% in a T-bill money market fund. Required: a. What are the expected return and standard deviation of your client's portfolio (Round your answers to 1 decimal place.) Expected return Standard deviation b. Suppose your risky portfolio includes the following investments in the given proportions: 26% 35 39 Stock A Stock B Stock C What are the investment proportions of your client's overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) Security T-Bills Stock A Stock B Stock C % per year % per year Investment Proportions % % % %
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 29%. 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 18%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) Investment proportion y % b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return %
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.)
Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 9%, Op = 24%, rf = 2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 12%. Which client is more risk averse?
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.)
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %