hard · FRM Part 1

A binary 'cash-or-nothing' call option pays 50 if the stock price is above $100 at expiry.

As the option approaches expiry with the stock price very close to $100, what happens to the option's Delta?

  1. Delta becomes extremely large and unstable (explosive), creating significant hedging challenges.
  2. Delta decays to zero as time value erodes.
  3. Delta stabilizes at 0.50 regardless of the volatility.
  4. Delta remains constant because the payoff is fixed at $50.

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