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 13PS

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%.
13. Suppose the same client in the previous problem decides to invest in your risky portfolio
a proportion (y) of his total investment budget so that his overall portfolio will have an expected rate of return of 15%. (LO 53)
a. What is the proportion y?
b. What are your client’s investment proportions in your three stocks and in T-bills?
e. What is the standard deviation of the rate of return on your client’s portfolio?

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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.)
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 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?

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

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