Gamma hedging involves dynamically adjusting an options portfolio to offset changes in its 'gamma,' which measures the rate at which an option's delta changes in response to movements in the underlying asset's price. When an options trader, often a market maker or dealer gamma, sells an option to a client, they acquire a positional exposure. If the underlying asset's price moves, the option's delta changes, which may expose the trader to undesirable risk. To counter this, they might buy or sell shares of the underlying asset or other options to rebalance their overall delta exposure, aiming to keep it relatively stable even as the underlying price fluctuates.
Consider a scenario where a trader has a short call option position with a gamma of -0.05. This means for every $1 increase in the underlying stock price, the portfolio's delta will decrease by 0.05. If the trader initially delta-hedged the position, they would need to continually adjust their hedge as the underlying stock price moves. For example, if they were short 100 calls and the stock went from $50 to $51, their delta might move from -50 to -45. To remain delta-neutral, they would need to sell another 5 shares of the underlying stock. This continuous rebalancing, buying shares as the price drops and selling as it rises, is a form of dealer hedging designed to neutralize gamma exposure over time and prevent large losses.
By actively managing gamma, traders can reduce the financial impact of large, rapid swings in the underlying asset's price, effectively keeping their risk profile more consistent. This allows them to profit from the bid-ask spread and implied volatility without being overly exposed to directional price movements of the stock itself.
The primary goal of gamma hedging is to keep a portfolio's delta exposure relatively constant, thereby minimizing the impact of underlying asset price movements on the portfolio's overall value.
Delta hedging aims to make a portfolio's value insensitive to small price changes. Gamma hedging, in contrast, adjusts for how that delta sensitivity changes with larger price movements in the underlying asset.
Gamma hedging is predominantly utilized by institutional options traders, such as market makers and proprietary trading firms, who aim to maintain neutrality and profit from other aspects like volatility or time decay.