Which of the Following Statements Is False

Which of the following statements is false?

A) An American call on a non-dividend-paying stock has the same price as its European counterpart.
B) The price of any call option on a non-dividend-paying stock always exceeds its intrinsic value.
C) It is never optimal to exercise a call option on a dividend-paying stock early - you are always better off just selling the option.
D) If the present value of the dividend payment is large enough, the time value of a European call option can be negative, implying that its price could be less than its intrinsic value.