Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 16%, Op = 26%, rf = 4%. 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 6%. 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 % 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?

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
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Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 16%, Op = 26%, rf = 4%.
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 6%. 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
%
%
O First client
O Second client
%
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?
Transcribed Image Text:Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 16%, Op = 26%, rf = 4%. 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 6%. 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 % % O First client O Second client % 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?
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