Pension fund | Economics homework help

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 3.0%. The probability distributions of the risky funds are

What is the standard deviation of your portfolio?

What is the proportion invested in the T-bill fund

What is the proportion invested in each of the two risky funds?

 

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 3.0%. The probability distributions of the risky funds are:

   

 

Expected Return

Standard Deviation

  Stock fund (S)

12

%

41

%

  Bond fund (B)

5

%

30

%

   

The correlation between the fund returns is .0667.

 

Suppose now that your portfolio must yield an expected return of 9% 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

%  

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