How Does the Time to Expiration Affect an Option’s Gamma?

Gamma is generally highest for options that are near-the-money and close to expiration. As an option approaches expiration, its price sensitivity to the underlying price becomes highly magnified, leading to a spike in Gamma.

This is because the option's value quickly transitions from being highly sensitive to price (at-the-money) to having a Delta near 0 or 1 (deep out-of-the-money or in-the-money). Far-dated options have lower Gamma, as they have more time for the underlying price to move.

What Is the Relationship between Gamma and the “Moneyness” of an Option?
What Is the Practical Implication of High Gamma for a Short-Term Option Holder?
Does a Change in Implied Volatility Affect At-the-Money and Out-of-the-Money Options Differently?
How Does Theta (Time Decay) Interact with Gamma as Expiration Approaches?
How Does ‘Time Decay’ (Theta) Affect an Option’s Premium?
Does Theta Affect In-the-Money, At-the-Money, and Out-of-the-Money Options Equally?
What Is the Effect of Selling an Out-of-the-Money Call versus an In-the-Money Call on Premium Received?
How Does an Option’s Time to Expiration Affect Its Theta Value?