Discounting

Discounting is the mathematical process of determining the present value of a future sum of money. It involves dividing the future amount by one plus the interest rate, compounded over the relevant time period.

In derivatives pricing, this is used to adjust expected future payoffs to their value today, accounting for the time value of money. This process is essential for comparing contracts across different timelines and for performing arbitrage-free pricing.

Without discounting, one cannot accurately assess the fair value of any financial instrument. It is the essential bridge between the future and the present in all modern finance.