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How Does the Exercise Style of an Option Impact Its Premium Price?

The exercise style directly impacts the premium price, with American-style options generally commanding a higher premium than otherwise identical European-style options. This is because the American option's early exercise feature grants additional value to the holder, as the flexibility to exercise at any time is a beneficial right.

The higher premium compensates the option seller for the increased risk and complexity associated with the potential for early assignment.

What Is the Concept of ‘Early Exercise Premium’ in American Options?
Does the Put-Call Parity Relationship Hold True for American-Style Options?
What Alternative Pricing Models Are Used for American-Style or Exotic Options?
What Is the Difference between American-Style and European-Style Assignment?