# Constant Sum

A constant sum pricing model is a straightforward implementation satisfies the equation:

Where **R_i** are the reserves of each asset and **k **is a constant. While this function produces βzero slippageβ, it does not provide infinite liquidity and thus is likely unfit as a standalone implementation for a decentralized exchange use-case. In practice, what would happen is that any arbitrageur would always drain one of the reserves if the reference relative price of the reserve tokens is not **one**.

A constant sum function forms a **straight line** when plotting two assets.

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