In: Finance
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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, and the third is a T-bill money market fund that yields a sure rate of 5.3%. The probability distributions of the risky funds are:  | 
| Expected Return | Standard Deviation | |||
| Stock fund (S) | 14 | % | 43 | % | 
| Bond fund (B) | 7 | % | 37 | % | 
| The correlation between the fund returns is .0459. | 
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 Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL.  | 
| a. | 
 What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)  | 
| Standard deviation | % | 
| b-1. | 
 What is the proportion invested in the T-bill fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.)  | 
| Proportion invested in the T-bill fund | % | 
| b-2. | 
 What is the proportion invested in each of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.)  | 
| Proportion Invested | |
| Stocks | % | 
| Bonds | % |