You manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 34%. The T-bill rate is 8%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 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 17%. a. What is the proportion y? (Round your answer to the nearest whole number.) Proportion y 45% 32% 23% T-Bills Stock A Stock B Stock C 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 places.) % Investment Proportions % % % %

You manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 34%. The T-bill rate is 8%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 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 17%. a. What is the proportion y? (Round your answer to the nearest whole number.) Proportion y 45% 32% 23% T-Bills Stock A Stock B Stock C 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 places.) % Investment Proportions % % % %

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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The beta on risky asset A is 1.8 and the beta on risky asset B is 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two risky assets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and (ii) the expected return of the portfolio? a None of the above b (i) 0.97 and (ii) 9.82% c (i) 1.23 and (ii) 9.82% d (i) 1.23 and (ii) 11.38% e (i) 0.97 and (ii) 11.38%
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%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y 0.8 X %
You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%. The T-bill rate is 2%. Your client chooses to invest 65% of a portfolio in your fund and 35% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.25 and an expected return of 15%. The other stock has an expected return of 21%. The total portfolio is equally as risky as the market (i.e.Bp=1). What is the beta for the other stock in your portfolio? What is the expected return of the risk-free asset? What is the expected return of the market? What is the expected return of your portfolio?
You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 32%. The T-bill rate is 7%. Your client chooses to invest 50% of a portfolio in your fund and 50% in a T-bill money market fund. Suppose that your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 33 % 32 % 35 % What are the investment proportions of your client's overall portfolio, including the position in T-bills? (Round your answers to 1 decimal place.) T-Bills Stock A Stock B Stock C Investment Proportions % % % %
You manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 36%. The T-bill rate is 5%. Your client chooses to invest 60% of a portfolio in your fund and 40% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? (Do not round intermediate calculations. Round "Standard deviation" to 2 decimal places.) Rate of Return Expected return % Standard deviation %
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 16.0%. Stock B has an expected return of 11% and a standard deviation of return of 4%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 7%. The proportion of the optimal risky portfolio that should be invested in stock A is __________.
K You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 37%. The T-bill rate is 4%. Your client chooses to invest 80% of a portfolio in your fund and 20% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. 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 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?
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 % %
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 17% and a standard deviation of return of 28%. Stock B has an expected return of 15% and a standard deviation of return of 15%. The correlation coefficient between the returns of A and B is 0.8. The risk-free rate of return is 3.2%. What is the expected return on the optimal risky portfolio? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
You manage a risky portfolio with an expected rate of retum of 17% and a standard deviation of 35%, The T-bill rate is 5%. Your clien chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. Suppose that your risky portfollo includes the following investments in the given proportions: Stock A 25 X 35 X 40 X 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.) Investment Proportions T-Bills Stock A Stock B Stock C

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