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What Is the Approximate Delta of a Deep Out-of-the-Money Option?

The approximate Delta of a deep Out-of-the-Money (OTM) option is close to zero. For a call option, Delta is near +0, and for a put option, Delta is near -0.

This indicates that the option is highly unlikely to expire In-the-Money. Therefore, small changes in the underlying price have a negligible impact on the option's value, as its premium is mostly composed of time value (extrinsic value).

How Is Delta Used as a Probability Estimate for an Option Expiring ITM?
What Is the Probability of an OTM Option Expiring ITM?
What Is the Relationship between the Option’s Delta and Its Probability of Expiring In-the-Money?
What Is the Relationship between Option Delta and the Probability of an Option Expiring In-the-Money?