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What Is the Risk of Early Exercise for the Writer of an American Option?

The writer (seller) of an American option faces the risk that the buyer will exercise the option early, forcing the writer to fulfill their obligation prematurely. For a Call writer, this means selling the underlying asset at the strike price, potentially incurring a large opportunity cost if the asset price continues to rise.

This loss of control over the timing is the primary risk.

What Is the Opportunity Cost of Exercising a Deep In-the-Money American Call Option Early?
What Is the Concept of ‘Early Exercise Premium’ in American Options?
Why Is Early Exercise of an American Call Option Generally Not Optimal for a Non-Dividend-Paying Asset?
How Does the Expiration Date Influence the Opportunity Cost?