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25 March, 16:22

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 27%

Stock B 33%

Stock C 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%.

a. What is the proportion y? (Round your answer to 1 decimal place.)

Proportion y

b. What are your client's investment proportions in your three stocks and the T-bill fund? (Round your

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  1. 25 March, 16:40
    0
    Consider the following calculations

    Explanation:

    a) If the weight of risky portfolio is 'y' then weight of T-bill would be (1-y).

    Expected return on clients portfolio = weight of risky portfolio x return on risky portfolio + weight of T-bill x return on T-bill

    or, 15% = y x 17% + (1 - y) x 7%

    or, y = 0.8

    weight of risky portfolio = 0.8, weight of T-bill = 0.2

    b)

    Security Investment Proportions

    T-bill 20% (from part a)

    Stock A 80% x 0.27 = 21.6%

    Stock B 80% x 0.33 = 26.4%

    Stock C 80% x 0.40 = 32%

    Total 100%
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