hard · Quantitative Finance derivatives

A 'cash-or-nothing' binary call option pays $1 if S_T > K at expiry and $0 otherwise.

As the time to expiry T approaches zero with the spot price S very close to the strike K, what happens to the option's delta?

  1. It approaches 0.5.
  2. It approaches infinity.
  3. It remains constant.
  4. It approaches zero.

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