Problem 13-02 a. A $1,000 bond has a 5.5 percent coupon and matures after ten years. If current interest rates are 9 percent, what should be the price of the bond? Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. b. If after six years interest rates are still 9 percent, what should be the price of the bond? Use Appendix B and Appendix D to answer the question. Assume that the bond pays interest annually. Round your answer to the nearest dollar. c. Even though interest rates did not change in a and b, why did the price of the bond change? The price of the bond with the longer term is less the investors will collect the smaller time. than the price of the bond with the shorter term as interest payments and receive the principal within a longer period of d. Change the interest rate in a and b to 4 percent and rework your answers. Assume that the bond pays interest annually. Round your answers to the nearest dollar. Price of the bond (ten years to maturity): $ Price of the bond (four years to maturity): $ Even though the interest rate is 4 percent in both calculations, why are the bond prices different? The price of the bond with the longer term is higher than the price of the bond with the shorter term as the investors will collect the higher interest payments for a longer period of time.