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Why Does High Volatility Necessitate More Frequent Delta Hedging?

High volatility causes the underlying asset's price to move more drastically and frequently. Since Delta is a function of the underlying price, the Delta of the option position changes rapidly and often.

To maintain a Delta-neutral hedge, the market maker must rebalance their position more frequently to keep up with the quick and large changes in Delta.

Why Is a High Gamma Option More Difficult to Delta-Hedge than a Low Gamma Option?
What Is Gamma and Why Is It Important for Managing a Delta-Hedged Portfolio?
Why Is High Gamma Undesirable for a Portfolio Manager Who Wants a Stable Hedge?
What Is the Next Level of Hedging beyond Delta and Gamma Neutrality?