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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)15%32%Bond fund (B)9%23%The correlation between the fund returns is 0.15.Suppose now that your portfolio must yield an expected return of12% 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 the T-billfund? (Do not round intermediate calculations. Round youranswer 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 decimalplaces.)NUMBERS CANNOT BE ROUNDED UNTIL FINAL ANSWER OR ELSE IT WILL BEINCORRECT.