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How Does the Probability of an Option Expiring ITM Relate to Its Time Value?

The probability of expiring ITM is a key factor in determining time value. ATM options have the highest time value because their probability of expiring ITM is approximately 50%, representing maximum uncertainty and potential.

Deep OTM options have a very low probability of expiring ITM, leading to low time value. Time value essentially prices this probability of future intrinsic value.

Which Option ‘Moneyness’ Typically Has the Highest Gamma?
Why Is Extrinsic Value Highest for At-the-Money Options?
Why Does an At-the-Money Option Exhibit the Highest Gamma?
Why Is the Time Decay (Theta) Generally Highest for OTM Options?