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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) 17% 34%
Bond fund (B) 11% 25%

The correlation between the fund returns is 0.15.

What is the standard deviation of your portfolio?

What is the proportion invested in the T-bill fund?

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