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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 5.7%. The probability distributions ofthe risky funds are: Expected ReturnStandard Deviation Stock fund (S)18%47% Bond fund (B)7%41% The correlation between the fund returns is .0317.Suppose now that your portfolio must yield an expected return of16% and be efficient, that is, on the best feasible CAL. a.What is the standard deviation of your portfolio? (Donot round intermediate calculations. Round your answer to 2 decimalplaces.) Standard deviation% b-1.What is the proportion invested in the T-bill fund? (Donot round intermediate calculations. Round your answer to 2 decimalplaces.) 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 answersto 2 decimal places.) Proportion Invested Stocks% Bonds%