Gamma hedging is a technique employed by options traders, particularly those managing large portfolios such as market makers, to neutralize the sensitivity of their portfolio's delta to changes in the underlying asset's price. Delta measures how much an option's price is expected to move for every one-dollar change in the underlying asset's price. When an option's delta changes, the overall delta of a portfolio also changes. Gamma quantifies this rate of change in delta; a positive gamma means that as the underlying asset's price increases, the delta of a long option position likely becomes more positive, and as the underlying price decreases, delta becomes more negative. Gamma hedging aims to counteract these delta shifts by dynamically adjusting the portfolio.
The goal of gamma hedging is to maintain a relatively constant hedged position despite market movements. For example, if a trader is long 10 call options with a current delta of 0.50 each, their initial portfolio delta would be 500 (10 contracts * 100 shares/contract * 0.50 delta). If the underlying stock, currently trading at $100, moves up by $1 and the gamma for these options is 0.10, the new delta for each option might become 0.60. This would change the portfolio's delta to 600, requiring the trader to sell an additional 100 shares of the underlying stock (or an equivalent amount of other options) to re-establish a delta-neutral position. This continuous adjustment process, often referred to by practitioners as managing a dealer's gamma, is the essence of gamma hedging, aiming to mitigate risk from significant price fluctuations and maintain the desired exposure or lack thereof.
Effective gamma hedging often involves frequent adjustments. These adjustments require careful consideration of transaction costs and market liquidity, as an attempt to maintain perfect gamma neutrality can become expensive. The frequency of rebalancing often depends on the volatility of the underlying asset and the level of gamma in the portfolio. Highly volatile assets with high gamma necessitate more frequent adjustments to keep the portfolio delta within a predefined neutral range, contrasting with calmer market conditions where less frequent rebalancing might suffice.
The primary objective of gamma hedging is to maintain a constant exposure to the underlying asset's price changes by offsetting the impact of an option's delta changing over time, allowing for more stable risk management.
Gamma hedging is a technique specifically designed to maintain delta neutrality. While delta neutrality aims for zero directional exposure, gamma hedging addresses how that delta neutrality shifts as the underlying asset's price moves, requiring adjustments.
Gamma hedging is commonly employed by market makers, institutional traders, and portfolio managers who handle large options portfolios and need to control their directional risk exposure effectively against market fluctuations.
.png)