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How Does Being ITM Affect the Likelihood of an Option Being Exercised?

An option being in-the-money (ITM) significantly increases the likelihood of it being exercised, especially as the expiration date approaches, because it has a positive intrinsic value and is profitable to exercise. However, American-style options are often not exercised early unless there are special circumstances, as early exercise forfeits the remaining time value.

European options can only be exercised at expiration.

How Does the Black-Scholes Model Account for the Early Exercise Feature of American Options?
How Does the Dividend Yield of the Underlying Asset Affect the Value of an American Option?
What Is the Concept of ‘Early Exercise Premium’ in American Options?
How Does Early Exercise Affect the Pricing Model for American Options?