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Why Is a Delta-Neutral Portfolio Not Perfectly Hedged against Large Price Moves?

A Delta-neutral portfolio is only perfectly hedged against small, instantaneous price movements. It is vulnerable to large price movements because of Gamma risk.

Gamma measures the rate of change of Delta. A large move in the underlying crypto price will significantly change the portfolio's Delta, requiring immediate re-hedging to restore neutrality, which incurs transaction costs and potential slippage.

Why Does Gamma Increase Dramatically for Near-the-Money Options Close to Expiration?
Why Is High Gamma Detrimental to a Static Delta Hedge?
How Is Gamma Used in Conjunction with Delta for a Portfolio Hedge?
Why Must a Delta-Neutral Position Be Constantly Rebalanced (Delta-Hedging)?