AMM Price Impact Modeling

AMM Price Impact Modeling is the quantitative assessment of how a trade size affects the execution price within an Automated Market Maker pool. Unlike traditional order books, AMMs use mathematical formulas, such as the constant product formula, to determine prices based on the ratio of assets in a liquidity pool.

When a trader executes a large swap, they remove one asset and add another, shifting the pool ratio and causing the price to move against them. This phenomenon is known as slippage.

Modeling this impact requires calculating the difference between the expected price at the current ratio and the realized price after the transaction. By understanding this relationship, traders can optimize order sizes to minimize execution costs.

This analysis is fundamental for liquidity providers to manage impermanent loss and for traders to ensure efficient execution in decentralized finance.