5. A zero coupon bond with 2.5 years to maturity has a yield to maturity of 25% per annum. A 3-year maturity annual-pay coupon bond has a face value of $1000 and a 25% coupon rate. The coupon bond also has a yield to maturity of 25%. Does the longer maturity bond have a larger interest rate sensitivity? Why or why not? Calculate for each bond the percentage price change associated with a change of yield to maturity from 25% to 26%