11.4. Homecare Inc. has three bond issues outstanding. All three bonds pay $100 in annual interest plus $1,000 at maturity. Bond S has a maturity of five years, bond M has a 15-year maturity, and bond L matures in 30 years.

a. What is the value of each of these bonds when the required interest rate is 5 percent, 10 percent, and 15 percent?

b. Why is the price of bond L more sensitive to interest rate changes than the price of bond S?