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 79% 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 () 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 %

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
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Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 5P
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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
%
4
Transcribed Image Text: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 % 4
b. What are your client's investment proportions in your three stocks and in T-bills? (Round your answers to 1 decimal place.)
Investment
Proportions
Security
T-Bills
Stock A
Stock B
Stock C
%
%
%
c. What is the standard deviation of the rate of return on your client's portfolio? (Round your answer to 1 decimal place.)
Standard deviation
% per year
Transcribed Image Text:b. What are your client's investment proportions in your three stocks and in T-bills? (Round your answers to 1 decimal place.) Investment Proportions Security T-Bills Stock A Stock B Stock C % % % c. What is the standard deviation of the rate of return on your client's portfolio? (Round your answer to 1 decimal place.) Standard deviation % per year
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