Which of the following two bonds is more price sensitive to changes in interest rate?
I. A par value bond, X, with 6-year-to-maturity and 10% coupon rate.
II. A zero coupon bond, Y, with 5-year-to-maturity and 10% yield-to-maturity.
A. Bond X because it has a higher yield to maturity.
B. Bond X because it has a longer time to maturity.
C. Bond Y because it has longer duration.
D. Both have the same sensitivity because they have the same yield to maturity.
(Why?)