question archive A pension fund manager is considering three mutual funds

A pension fund manager is considering three mutual funds

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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 bond fund, and the third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows:

  Expected Return   Standard Deviation
Stock fund (S)   17 %     30 %
Bond fund (B)   11       22  
 


The correlation between the fund returns is 0.10.

a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)

   
Portfolio invested in stock   
Portfolio invested in bond  

a-2. What are the expected value and standard deviation of its rate of return? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)

  Rate of return
Expected return  
Standard deviation

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