Automated Market Maker Convexity

Algorithm

Automated Market Maker convexity, within the context of cryptocurrency derivatives, represents the second-order risk exposure of a liquidity provider’s position to changes in the underlying asset’s price. This convexity arises from the non-linear relationship between price impact and trade size inherent in AMM designs, particularly those employing the constant product formula. Understanding this convexity is crucial for accurately assessing and managing impermanent loss, as it dictates how portfolio value responds to price movements beyond linear approximations.