How Does a “Hybrid” AMM Curve Balance Capital Efficiency and Impermanent Loss?

A hybrid AMM curve, such as the one used by Curve, balances these factors by creating a price curve that is extremely flat near the target price (like a Constant Sum) and transitions to a Constant Product curve as the price diverges. The flat section maximizes capital efficiency and minimizes slippage/IL when assets are pegged.

The curved section ensures the pool can handle large price divergences without being completely drained, thereby limiting the maximum impermanent loss risk.

Why Do Stablecoin-to-Stablecoin Pools Typically Use a Different AMM Formula than X Y=k?
How Does the ‘Fee Structure’ Differ between a Centralized Exchange (CEX) and a Decentralized Exchange (DEX) AMM?
How Does a ‘Hybrid AMM’ (Like Curve’s Stableswap) Combine Features of Constant Product and Constant Sum?
What Is the Impact of a “Flat” Volatility Smile on Option Pricing Models?
How Do Limit Orders Function on an AMM-based Decentralized Exchange?
How Do Hybrid Stablecoin Models Attempt to Combine the Features of Asset-Backed and Algorithmic Designs?
What Is the Relationship between a Flat Book and the Bid-Ask Spread Offered?
What Does a Flat Volatility Curve Imply about Market Expectations?

Glossar