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Why Is the Delta of a Deep OTM Option Close to Zero?

A deep out-of-the-money (OTM) option has a strike price far from the current underlying price, making it highly unlikely to finish in-the-money. The delta, which measures the option's sensitivity to the underlying price, approaches zero because even a small move in the underlying price will have a negligible effect on the option's value.

This reflects the low probability of the option having any intrinsic value at expiration.

How Does Delta Differ between an ITM and an OTM Call Option?
How Does the Moneyness (ITM, OTM, ATM) of an Option Affect Its Bid-Offer Spread?
What Is the Relationship between Delta and the Probability of an Option Expiring In-the-Money?
How Does Gamma Relate to the Probability of an Option Being ITM at Expiration?