You are given the following information about two options, A and B:

(i) Option A is a one-year European put with exercise price 45.

(ii) Option B is a one-year American call with exercise price 55.

(iii) Both options are based on the same underlying asset, a stock that pays no dividends.

(iv) Both options go into effect at the same time and expire at t = 1.

You are also given the following information about the stock price:

(i) The initial stock price is 50.

(ii) The stock price at expiration is also 50.

(iii) The minimum stock price (from t = 0 to t = 1) is 46.

(iv) The maximum stock price (from t = 0 to t = 1) is 58.

Determine which of the following statements is true.

(A) Both options A and B are "at-the-money" at expiration.

(B) Both options A and B are "in-the-money" at expiration.

(C) Both options A and B are "out-of-the-money" throughout each option's term.

(D) Only option A is ever "in-the-money" at some time during its term.

(E) Only option B is ever "In-the-money" at some time during its term.