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A pension fund manager is considering three mutual funds. Thefirst is a stock fund, the second is a long-term government andcorporate bond fund, and the third is a T-bill money market fundthat yields a sure rate of 5.5%. The probability distributions ofthe risky funds are: Expected ReturnStandard DeviationStock fund (S)16%45%Bond fund (B)7%39%The correlation between the fund returns is .0385.Suppose now that your portfolio must yield an expected return of14% and be efficient, that is, on the best feasible CAL.a. What is the standard deviation of yourportfolio? (Do not round intermediate calculations. Roundyour answer to 2 decimal places.)b-1. What is the proportion invested in theT-bill fund? (Do not round intermediate calculations. Roundyour answer to 2 decimal places.)b-2. What is the proportion invested in each ofthe two risky funds? (Do not round intermediatecalculations. Round your answers to 2 decimal places.)
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