Question

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 rate of 4.5%. The probability distribution of the risky funds is as follows:

	Expected Return	Standard Deviation
Stock fund (S)	15%	35%
Bond fund (B)	6	29

The correlation between the fund returns is 0.15.

Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places. Omit the "%" sign in your response.)

Portfolio invested in the stock	%
Portfolio invested in the bond	%
Expected return	%
Standard deviation	%

Expected Return = 14.76%

Standard Deviation = 34.18%

***Need to know Portfolio invested in the Stock and Bond?

Answer 1

Calculation of portfolio invested in stock and bond:
Expected return of portfolio= return of stock*weight of stock+ return of bond*weight of bond
14.76 =15*weight of stock+6*(1-weight of stock)
14.76=15*weight of stock+6-6*weight of stock
14.76-6= 9*weight of stock
8.76=9*weight of stock
weight of stock=8.76/9=0.9733
Weight of bond=1-0.9733= 0.0267
theefore
Portfolio invested in the stock is 97.33%
Portfolio invested in the bond is 2.67%