AMM Math

Algorithm

Automated Market Makers (AMMs) fundamentally rely on algorithmic pricing mechanisms, diverging from traditional order book exchanges. These algorithms, typically employing a constant product formula (xy=k), determine asset prices based on the ratio of tokens within a liquidity pool, dynamically adjusting with each trade. The mathematical core of an AMM dictates the price impact—the degree to which a trade alters the pool’s price—and is crucial for liquidity providers and arbitrageurs alike, influencing capital efficiency and impermanent loss. Sophisticated AMM designs incorporate dynamic fees and weighted pools to optimize for specific asset pairs and trading volumes, enhancing overall market stability.