The current stock price is 60. The price of a 6-month 65-strike European call has a price of 5.

Consider the following 6-month European barrier options:

(1) Down-and-in call option with a barrier of 58 and a strike of 65

(2) Down-and-out call option with a barrier of 58 and a strike of 65

(3) Up-and-in call option with a barrier of 62 and a strike of 65

(4) Up-and-out call option with a barrier of 62 and a strike of 65 Which of the following pairs contains an option with a price of 5 and an option with zero price?

(A) (1) and (2)

(B) (1) and (3)

(C) (2) and (3)

(D) (2) and (4)

(E) (3) and (4)