A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the second is a bond fund and the third is a money market fund. The money market fund yields a risk-free return of 5%. The inputs for the risky funds are given in the following table. Standard Deviation 148 8% 24% 16% The correlation coefficient between the stock and the bond funds is 0.24. a. What is the expected return and the variance for a portfolio that invests 43% in the stock fund and 57% in the bond fund? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Fund Stock fund Bond fund Expected return Variance Expected Return % %2 b. What is the expected return and the variance for a portfolio that invests 43% in the stock fund and 57% in the money market fund? [Hint: Note that the correlation coefficient between the portfolio and the money market fund is zero.] (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the second is a bond fund and the third is a money market fund. The money market fund ylelds a risk-free return of 5%. The inputs for the risky funds are given in the following table. The correlation coefficient between the stock and the bond funds is 0.24 . a. What is the expected return and the variance for a portfolio that invests 43% in the stock fund and 57% in the bond fund? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b. What is the expected return and the variance for a portfolio that invests 43% in the stock fund and 57% in the money market fund? [Hint: Note that the correlation coefficient between the portfolio and the money market fund is zero.] (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) c. Compare the portfolios in parts a and b with a portfolio that is invested entirely in the bond fund. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) The portfolios in parts a and b offer better expected returns than the bond alone. The portfolios in parts a and b offer lower expected returns than the bond alone. The portfolios in parts a and b have higher variances than the bond alone. The portfolios in parts a and b have lower variances than the bond alone. A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the second is a bond fund and the third is a money market fund. The money market fund ylelds a risk-free return of 5%. The inputs for the risky funds are given in the following table. The correlation coefficient between the stock and the bond funds is 0.24 . a. What is the expected return and the variance for a portfolio that invests 43% in the stock fund and 57% in the bond fund? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b. What is the expected return and the variance for a portfolio that invests 43% in the stock fund and 57% in the money market fund? [Hint: Note that the correlation coefficient between the portfolio and the money market fund is zero.] (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)