1. Four years from today there is a $12,500,000 cash flow that needs to be immunized today. There are three bonds being considered for the immunization portfolio: Bond A has 9 years to maturity, a 6.0% coupon and a quoted price of 110.903; bond B is a two-year zero-coupon bond with a quoted price of 91.573; and bond C is a three-year bond with a coupon of 4.0%. The YTM on all bonds is 4.5%. Bond A has a duration of 7.31. Assume all bonds pay annual coupons and have par values of $1,000.
   1. What is the duration of bond C?
   2. What should be the value of the immunization portfolio?
   3. It is determined that the immunization portfolio will be comprised of bonds A and B only. What are the weights of the immunization portfolio?
   4. How many contracts of each bond A and bond B will be in the immunization portfolio?