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How Does Pool Depth (Total Liquidity) Influence the Amount of Slippage?

Deeper liquidity pools (higher TVL) result in lower slippage for a given trade size. This is because a large trade causes a smaller percentage change in the total reserves (x and y) of a deep pool compared to a shallow pool.

A smaller change in the token ratio means a smaller price movement along the bonding curve, thus less slippage.

How Does the Depth of a Liquidity Pool Influence the Effectiveness of a Sandwich Attack?
How Does a Protocol’s Total Value Locked (TVL) Relate to Its Projected Cash Flows?
How Is the Market Cap to TVL Ratio Used in Valuation?
How Can a Protocol’s Total Value Locked (TVL) Be Used as a Proxy for Financial Performance?