A down-and-out European call has the same premium as an otherwise identical vanilla European call. From this we can say that

Group of answer choices

An otherwise identical down-and-out American call will have the same premium as the down-and-out European call.

The premium of an otherwise identical down-and-in European put could be calculated from put-call parity.

The down-and-out European call must never go below the barrier level.

The otherwise identical down-and-in European call will have zero value at every time.