ATTEND ONLY IF YOU CAN SOLVE ALL THE QUESTIONS TOGETHER. IF NOT I WILL REPORT YOUR ANSWER IF PARTLY ANSWERED.

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 5%. 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. You require that your portfolio yield an expected return of 14%, and that it be efficient, that is, on the steepest feasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.)

An 8-year maturity zero-coupon bond selling at a yield to maturity of 9% (effective annual yield) has convexity of 155.1 and modified duration of 7.06 years. A 30-year maturity 5% coupon bond making annual coupon payments also selling at a yield to maturity of 9% has nearly identical duration-7.04 years-but considerably higher convexity of 244.8. a. Suppose the yield to maturity on both bonds increases to 10%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do not round intermediate calculations. Round your answers to 2 decimal places.) b. Suppose the yield to maturity on both bonds decreases to 8%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration with convexity rule? (Input all amounts as positive values. Do not round intermediate calculations. Round your answers to 2 decimal places.)