Gamma Exposure and Convexity
Gamma exposure is the sensitivity of an option's delta to changes in the underlying asset's price, representing the curvature or convexity of the option's value. A high gamma position means that the delta changes rapidly with price movements, necessitating frequent adjustments to maintain a neutral hedge.
This creates a feedback loop where the hedging activity itself can influence the underlying market price. Traders with large gamma exposure must carefully manage this risk, as it can lead to significant losses if the market moves against them and they are unable to rebalance effectively.
Convexity describes the non-linear relationship between the price of the option and the price of the underlying asset. Understanding this relationship is vital for risk sensitivity analysis, as it allows traders to anticipate how their hedging requirements will evolve as market conditions change.
Proper management of gamma and convexity is a cornerstone of sophisticated options trading and risk management.