What Is the Significance of Gamma in Understanding the Change in an Option’s Delta?
Gamma measures the rate of change of an option's Delta with respect to a change in the underlying asset's price. It is the second derivative of the option price.
High Gamma means Delta is highly sensitive to price movements. This is significant because it means the option's price sensitivity (and thus its slippage potential) can change rapidly as the underlying moves.
Traders with high Gamma positions face higher hedging costs and greater execution risk.
Glossar
Second Derivative
Measure ⎊ In options analysis, this refers to the third derivative of the option price with respect to the underlying asset price, quantifying the rate at which Gamma changes as the asset price moves.
Hedging Costs
Measurement ⎊ Hedging Costs encompass all expenses incurred when attempting to neutralize the unwanted risks (like delta or vega) embedded within a derivatives portfolio, primarily comprising commissions, exchange fees, and the unavoidable slippage and market impact from rebalancing trades.