How Does the Complexity of American Option Pricing Affect Its Smart Contract Implementation?

American options are complex because the optimal exercise time is unknown, requiring a more complex pricing model than European options. Implementing this complex model on-chain is computationally expensive and high in gas fees.

As a result, many DeFi options protocols default to the simpler, cheaper European style or use simplified models.

Why Are European-Style Options More Common than American-Style in the Crypto Options Market?
How Do Decentralized Finance (DeFi) Options Protocols Handle the Early Exercise Feature?
Do Crypto Exchanges Primarily Offer American or European Style Options?
What Is the Difference between American-Style and European-Style Assignment?
Why Are European-Style Options More Common than American-Style Options in Decentralized Options Protocols?
Why Are European-Style Options Generally Simpler to Price than American-Style Options?
Why Is a European-Style Option Typically Less Expensive than an American-Style Option on the Same Underlying Asset?
Do High Gas Fees Disproportionately Affect American-Style Options Compared to European-Style Options Due to the Exercise Flexibility?

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