Second-Order Risk Sensitivity

Definition

Second-order risk sensitivity represents the rate of change in an option’s primary risk metric relative to fluctuations in underlying market parameters. Traders utilize this concept to quantify the curvature of a derivatives portfolio, primarily focusing on how exposure metrics like delta adjust as the spot price or implied volatility moves. Precise measurement of these sensitivities is vital for maintaining a delta-neutral posture in high-velocity cryptocurrency markets where underlying asset prices exhibit extreme variance.