Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
10th Edition
ISBN: 9780077835422
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Chapter 5, Problem 12PS

For Problems 12-16, 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%.

12. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. (LO 5-3)
a. What is the expected return and standard deviation of your client’s portfolio?
b. Suppose your risk portfolio includes the following investments in the given proportions:
Stock A 27%
Stock B 33
Stock C 40
What are the investment proportions of each slock in your client’s overall proportion including the position in T-bills’?
c. What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio?
d. 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.

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You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your client’s degree of risk aversion is A = 3.5.a. What proportion, y, of the total investment should be invested in your fund?b. What is the expected value and standard deviation of the rate of return on your client’s optimized portfolio?
You manage a risky portfolio with an expected rate of return of 12% and a standard deviation of 36%. The T-bill rate is 3%. Stock A 27% Stock B 35% Stock C 38% 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 10%. Required: What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund? What is the standard deviation of the rate of return on your client’s portfolio?
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your client chooses to invest 70% of a portfolio in your fund and 30% in an essentially risk-free money market fund. What is the expected value and standard deviation of the rate of return on his portfolio?

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Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

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Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License