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What Is the Role of ‘K’ in the AMM Formula and Why Is It Important for Pool Stability?

'k' represents the constant product of the reserves (x and y) and is a measure of the pool's total liquidity. A larger 'k' indicates a deeper pool with more capital.

A larger 'k' is important for stability because it means that a given trade size will have a smaller impact on the token ratio, resulting in less price slippage and making the pool more resistant to large, sudden price swings.

How Does the Constant Product Formula (X Y=k) Govern the Price within a Liquidity Pool?
How Does a ‘Hybrid AMM’ (Like Curve’s Stableswap) Combine Features of Constant Product and Constant Sum?
How Does the Constant Product Formula (X Y=k) Govern an LP?
How Does the Constant Product Formula (X Y=k) Work in an AMM?