hard · FRM Part 1 Financial Markets and Products

A knock-in call option is currently priced at 2.50, and the identical knock-out call is priced at5.00.

If the risk-free rate increases, which component of the in-out parity equation (c + Ke^-rT = p + S_0e^-qT) is most directly affected if we were evaluating put-call parity for these exotics?

  1. The barrier level itself, fixed by contract
  2. The in-out parity identity itself, a structural rule
  3. The present value of the strike price (Ke^-rT)
  4. The probability of hitting the barrier before expiry

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