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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%

32%

Bond fund (B)

9

23

The correlation between the fund returns is 0.15.

What is the Sharpe ratio for the minimum variance portfolio (MVP)?

[Hint: The minimum-variance CAL is the line joining the risk-free asset to the minimum-variance portfolio (MVP). Now calculate slope of line after characterizing the minimum-variance portfolio.]

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