Which of the following statements is FALSE? A. If a bond trades at a premium, its yield to maturity will exceed its coupon rate. B. A bond that trades at a premium is said to trade above par. C. When a coupon-paying bond is trading at a premium, an investor's return from the coupons is diminished by receiving a face value less than the price paid for the bond. E. Holding fixed the bond's yield to maturity, for a bond not trading at par, the present value of the bond's remaining cash flows changes as the time to maturity decreases.