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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 probability distributions of the risky funds are:

Expected Return Standard Deviation
Stock fund (S) 15% 36%
Bond fund (B) 9% 27%

The correlation between the fund returns is 0.15.

Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL.

Questions: a. What is the standard deviation (%) of your portfolio?

b-1. What is the proportion (%) invested in the T-bill fund?

b-2. What is the proportion (%) invested in each of the two risky funds?

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