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What Role Do Automated Market Makers (AMMs) Play in Impermanent Loss?

AMMs are the core technology behind DEXs that use a mathematical formula (like x y=k) to price assets in a liquidity pool. They are the direct cause of impermanent loss.

When external market prices change, the AMM's formula forces an arbitrage opportunity, which shifts the ratio of assets in the pool, resulting in the IL for the liquidity provider.

What Mechanism in Automated Market Makers (AMMs) Is Exploited by Sandwich Attacks?
Does the Price-Time Priority Rule Apply to Automated Market Makers (AMMs)?
Do L2 Solutions Completely Eliminate MEV Opportunities for Their Own Sequencers?
How Is Slippage Calculated in an Automated Market Maker (AMM) Environment?