Barrier Option Sensitivity

Calculation

Barrier option sensitivity, within cryptocurrency derivatives, quantifies the rate of change in an option’s price relative to shifts in the underlying asset’s price, considering the barrier level. This sensitivity is not constant, differing significantly from standard option Greeks due to the barrier’s presence, introducing path dependency into the valuation. Accurate calculation necessitates models accounting for the probability of the barrier being breached, impacting the option’s payoff structure and ultimately, its risk profile.