How Does a “zero-Day-to-Expiration” (0DTE) Option’s Delta Behave Compared to a Long-Dated Option?

A 0DTE option's Delta is highly unstable and moves much more rapidly than a long-dated option's Delta. Near the strike, a 0DTE option's Delta will move sharply from near 0 to near 1.0 (or -1.0) with a tiny move in the underlying asset's price, due to its extremely high Gamma.

A long-dated option's Delta changes more gradually, as it has more time value and lower Gamma.

How Does a Change in Interest Rates Affect the Price of a Long-Dated Crypto Option?
How Does Gamma Affect the Stability of the Hedge Ratio over Time?
What Is the ‘Gamma’ of an Option and How Does It Affect Delta?
How Does the ‘Greeks’ Delta and Gamma Change Based on a Whale-Induced Price Move?
Why Is Delta a Poor Measure of Risk for a Short-Term ATM Option?
Does a Flash Crash or Sudden Price Spike Lead to Higher or Lower Impermanent Loss than a Gradual Change?
How Does Delta Change as an Option Moves Deeper ‘In-the-Money’?
What Is the Main Drawback of a Delta-Neutral Hedging Strategy?

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