Maximum Pension Fund is attempting to manage one of the bond portfolios under its management. The fund has identified three bonds that have five-year maturities and trade at a yield to maturity of 9 percent. The bonds differ only in that the coupons are 7 percent, 9 percent, and 11 percent.

a. What is the duration for each bond?

b. What is the relationship between duration and the amount of coupon interest that is paid? Plot the relationship.