Does Theta Accelerate Faster for American or European Options?

Theta generally accelerates at a similar rate for both American and European options, as time decay is a function of the remaining time to expiration and volatility. However, the American option's early exercise feature complicates the pure decay calculation.

The European option's price is a smoother function of time, making its theta more predictable.

Does the Early Exercise Feature Affect the Pricing Model, Such as Black-Scholes, for American Options?
What Is the Difference between an American and European Option regarding Early Exercise and Risk?
How Does the Concept of Early Exercise Affect the Premium of an American Call Option?
How Does the Lack of Early Exercise for a Call Option Simplify Hedging Strategies?
Does the Early Exercise Feature Apply to American-Style Put Options as Well?
What Key Assumption of the Black-Scholes Model Is Violated by American-Style Options?
How Does the Early Exercise Feature of American Options Affect Their Premium?
Why Is an American-Style Option Theoretically Always Worth at Least as Much as a European-Style Option?

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