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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% 40%
Bond fund (B) 11% 31%

The correlation between the fund returns is 0.10.

Required:

a) What is the Sharpe ratio of the best feasible CAL?

Suppose now that your portfolio must yield an expected return of 14% and be efficient, that is, on the best feasible CAL.

b) What is the standard deviation of your portfolio?

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

d) What is the proportion invested in each of the two risky funds?

Stocks %: Bonds %:

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