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A strategy used by options traders to manage risk by dynamically adjusting their hedge as the delta of their options changes.

Dynamic delta hedging is an options trading strategy where a trader continuously buys or sells the underlying asset to offset the changing directional risk of their options position.

Understanding dynamic delta hedging

Delta measures how much the price of an option changes for every one-unit movement in the underlying asset. A delta-neutral position has a total delta of zero. This means small price movements in the underlying asset do not affect the overall value of the portfolio. Options traders use this baseline to isolate other market variables like volatility or time decay.

The delta of an option changes constantly as the underlying asset moves in price. This rate of change is measured by a metric called gamma. A position that is delta-neutral at the market open will not stay delta-neutral if the market trends upward or downward throughout the trading session. To maintain a net-zero delta, traders regularly adjust their hedge. This process requires buying more of the underlying asset when the option’s delta increases or selling the asset when the delta decreases.

Frequent portfolio adjustments increase transaction costs. Institutional traders use automated algorithms to rebalance their positions based on specific price triggers or set time intervals. When the underlying market experiences high volatility, the trader must adjust the hedge more often. This high frequency of trading accumulates bid-ask spread costs and exchange fees across global markets.

Example

Imagine a fellow Elephant sells call options representing 100 shares of an international logistics company. Each option contract has a delta of 0.50. To hedge the directional risk of the short position, the Elephant buys 50 shares of the underlying stock. This brings the net delta of the portfolio to zero. Over the next week, the stock price increases. The delta of the short call options moves to 0.70 because the contracts are now deeper in the money. The trader’s initial 50 shares no longer cover the 70-share equivalent risk of the options. To rebalance the position and return to a neutral delta, the Elephant buys 20 additional shares. If the stock price later drops and the option delta falls to 0.40, the trader will sell 30 shares to maintain the dynamic hedge.

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