Which of the following statements is correct?

a. If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a discount.

b. If a coupon bond is selling at a premium, its yield to maturity is equal to zero.

c. If a coupon bond is selling at par, its yield to maturity is equal to zero.

d. If a coupon bond is selling at a discount, its price will continue to decline until it reaches its par value at maturity.

e. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond.