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Problem 5-12 Assume that you manage a risky portfolio with an expected rate of return of 17.9% and a standard deviation of 27.9%. The T-bill

Problem 5-12

Assume that you manage a risky portfolio with an expected rate of return of 17.9% and a standard deviation of 27.9%. The T-bill rate is 6.5%.

Required:
(a)

Your client chooses to invest 60% of a portfolio in your fund and 40% in a T-bill money market fund. What is the expected return and standard deviation of your client's portfolio? (Round your answers to 1 decimal place. Omit the "%" sign in your response.)

Expected return % per year
Standard deviation % per year

(b)

Suppose your risky portfolio includes the following investments in the given proportions:

Stock A 30%
Stock B 49%
Stock C 21%

What are the investment proportions of your clients overall portfolio, including the position in T-bills?(Round your answers to 1 decimal place. Omit the "%" sign in your response.)

Security Investment Proportions
T-Bills %
Stock A %
Stock B %
Stock C %

(c)

What is the reward-to-volatility ratio ( S ) of your risky portfolio and your client's overall portfolio?(Round your answers to 4 decimal places.)

Your Reward-to-variability ratio
Client's Reward-to-variability ratio

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