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How Is the Probability of Exercise Related to Delta?

In the context of the Black-Scholes model, Delta is often used as a rough approximation of the probability that an option will expire in-the-money (ITM). A Delta of 0.70 suggests an approximately 70% chance of the option finishing ITM.

This relationship is more accurate for European-style options and is a useful heuristic for traders assessing risk and potential payoff.

What Is the Relationship between the Option’s Delta and Its Probability of Expiring In-the-Money?
How Does ‘Delta’ Relate to the Probability of an Option Expiring ITM?
How Does the Risk-Neutral Probability Concept Relate to Delta?
What Does It Mean for an Option to ‘Expire Worthless’?