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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund,

A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The statistics from the probability distribution of the risky funds are:

Expected Return

Standard Deviation

Stock Fund (S)

15%

32%

Bond Fund (B)

9%

23%

The correlation between the fund returns is 0.15. What is the expected return and standard deviation for the optimal risky portfolio? Hint: see formula 6.10, p. 162 for determination of weights.

( the answer is WB = 0.3534; WS = 0.6466; E(rp) = 12.88%; p = 23.3377% )

Draw the CAL of this particular portfolio. Label the point for the optimal risky portfolio with the label O

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