medium · FRM Part 1

An 'up-and-in' call option with barrier B = 120 and strike K = 100 is currently active because the asset touched 122 last week.

How does this option's price behavior now compare to a vanilla European call with K = 100?

  1. It now behaves exactly like a vanilla European call.
  2. It will have a lower Delta than the vanilla call to account for the barrier event.
  3. It will knock out if the price falls back below 120.
  4. It remains cheaper than a vanilla call because of its history.

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