Path Sensitivity Analysis
Path sensitivity analysis is a quantitative technique used to evaluate how changes in the specific price trajectory of an underlying asset affect the value of an exotic option. Since path-dependent options rely on the history of price movements, small deviations in that history can lead to significant changes in the option's Greeks and overall fair value.
This analysis helps traders understand the robustness of their hedging strategies under different market scenarios. In crypto, where flash crashes and liquidity gaps are common, path sensitivity is vital for identifying vulnerabilities in a portfolio.
It involves stress-testing the option against various synthetic price paths to see how the derivative responds. By understanding these sensitivities, traders can better manage the risks associated with non-standard payoff structures and ensure their hedges remain effective throughout the option's life.