Assume that you manage a risky portfolio with an expected rate of return of 23%

Question

Assume that you manage a risky portfolio with an expected rate of return of 23% and a standard deviation of 43%. The T-bill rate is 3%. Your risky portfolio includes the following investments in the given proportions: 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 21%. What is the proportion y? (Round your answer to 2 decimal places.) Proportion y What are your client's investment proportions in your three stocks and the T-bill fund? (Round your intermediate calculations and final answers to 2 decimal places.) What is the standard deviation of the rate of return of your client's portfolio? (Round your intermediate calculations and final answer to 2 decimal places.) Standard deviation % per year

Explanation / Answer

ANSWER A: PROPRTION OF "Y"

Return on Portfolio = Rf + (Rp - Rf) * y

21 = 3 + (23-3)*y

y = 0.9

In order to obtain a mean return of 21%, the client must invest 90% of total funds in the risky portfolio and 10% in Treasure bills

ANSWER B: INVESTMENT PROPRTIONS

ANSWER C) STANDARD DEVIATION

0.9 * 43% = 38.7%

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