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 4.7%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 17 % 37 % Bond fund (B) 8 % 31 % The correlation between the fund returns is .1065. Suppose now that your portfolio must yield an expected return of 15% 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 %

Respuesta :

Answer:

A)  30.291

B-1)  1.15%

B-2)  proportion of stock = 78.19%

        proportion of  bond = 20.65%

Explanation:

Given data:

Return on stock = 17%   std on stock = 37%

Return on bond = 8%     std on stock = 31%

correlation between funds = 0.1065

expected yield on portfolio = 15%

Risk free rate = 4.7%

next we find the covariance between stocks and bonds

= (37 * 31 * 0.1065 ) = 122.1555

next we have to determine the weight of the portfolio ( stocks and bond )

attached below is the remaining part of the solution

A) standard deviation of the portfolio

= 30.291 %

B-1 ) proportion of the portfolio invested in treasury bill

= 1.15%

B-2 ) what proportion is invested in stocks and Bonds

     proportion of stock = 78.19%

     proportion of bond = 20.65%

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