Q is the fixed cash payout if the option finishes in the money.
e−rT discounts that future cash payment back to present value.
N(d2) is the risk-neutral probability that the option expires in the money and pays out.
So the option value is essentially:
Present value of the payout × probability of receiving the payout
That is why the formula uses N(d2), not N(d1).
**16.01** If the cash-or-nothing call option pays (Q), what is the value of the binary option? bonus: explain the formula intuitively. | Financial Risk Manager Part 1 Quiz - LeetQuiz
Get started today
Ultimate access to all questions.
16.01 If the cash-or-nothing call option pays (Q), what is the value of the binary option? bonus: explain the formula intuitively.