Can a Portfolio Be Both Delta-Neutral and Gamma-Neutral?

Yes, a portfolio can be both Delta-neutral (insensitive to small price changes) and Gamma-neutral (insensitive to changes in Delta). This is achieved by structuring the portfolio using a combination of options and the underlying asset.

A Gamma-neutral portfolio requires less frequent rebalancing, reducing transaction costs associated with dynamic hedging.

What Is the Next Level of Hedging beyond Delta and Gamma Neutrality?
What Does It Mean for a Portfolio to Be ‘Delta-Neutral’?
What Is a ‘Delta-Neutral’ Trading Strategy?
How Does a Market Maker Manage the Risk of Gamma in a Delta-Hedged Portfolio?
How Does the Gamma Greek Relate to the Frequency of Rebalancing a Delta Hedge?
Does a Higher Gamma Value Necessitate More Frequent Delta Hedging?
What Role Does Gamma Play in the Cost of Maintaining a Delta-Neutral Portfolio?
Explain the Role of the “Rebalancing” Process in a Portfolio Margin Account for Derivatives