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Problem - 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 5.2%. The probability distributions of the risky funds are:
Expected Return Standard Deviation
Stock fund (S) 13% 42%
Bond fund (B) 6% 36%
The correlation between the fund returns is .0222.
Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL.
Required -
a. What is the standard deviation of your portfolio?
b. What is the proportion invested in the T-bill fund?
c. What is the proportion invested in each of the two risky funds?
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