Concavity

Function

In the framework of option theory, this term describes the mathematical curvature of a payoff profile where the second derivative of the portfolio value with respect to the underlying asset price is negative. It represents a state where the sensitivity of an option’s price to changes in the underlying asset decreases as the price increases. Investors holding short gamma positions exhibit this property, effectively benefiting from a stable environment while facing accelerating losses during rapid market fluctuations.