You are creating a portfolio that consists of the following two bonds. Bond A pays an annual 7% coupon, matures in two years, has a yield to maturity of 8%, and a face value of $1,000. Bond B pays an annual 8% coupon, matures in three years, has a yield to maturity of 9%, and a face value of $1,000.

(1) Calculate the price of Bond A.(round up to the second, fill the number, don't fill text such as unit)

(2) Calculate the price of Bond B.

(3) Calculate the Macaulay Duration for Bond A.

(4) Calculate the Modified Duration for Bond A.

(5) The modified duration of bond B is 2.55years. Assume that your investment horizon is 2 years and your portfolio consists only of bonds A and B. What proportion should be invested in each bond to immunize the portfolio? fill in likeA %, B %