Question: The following data apply to Problems 2 to 8: A pension fund manager is considering three mutual funds. The first is a stock fund, the

The following data apply to Problems 2 to 8: 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, and the third is a T-bill money market fund that yields a rate of 8%. The mean and the standard deviation of the risky funds is as follows:

Expected Return

Standard Deviation

Stock fund (S)

20%

30%

Bond fund (B)

12%

15%

The correlation between the fund returns is 0.10.

Problem. You require that your portfolio yield an expected return of 14%, and that it be the most efficient in terms of risk-return trade (i.e., on the best feasible CAL).

a. What is the standard deviation of your portfolio?

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

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