Price impact is the price movement caused by the proposed trade within a pool model. Slippage is the difference between expected and actual execution, including market changes while a transaction waits.
How to work through the calculation or research
For a constant-product x×y=k pool, a larger input trade consumes a larger share of the available reserve and changes the marginal price. Model both pool fee and reserve size; the trade outcome can be different in concentrated-liquidity or multi-hop routing.
A concrete worked example
In a simple fee-free pool with 100 units of token A and 10,000 of token B, adding 10 A yields about 909.09 B before fees (10,000−10,000×100/110). This is below a fixed-price 1,000 B assumption.
Common errors and important limitations
A favorable slippage tolerance does not make a suspicious token transferable or safe. Pool manipulation, MEV and changing liquidity can still alter a trade.
Put the idea into practice with a working tool
For a practical calculation, the AMM Average Price Impact Estimator lets you examine: Input asset reserve, Trade input amount. The tool documents its method as: For fee-free x×y=k, average execution price deterioration = input/(input reserve+input).. Estimates constant-product price impact against starting spot, not quote spread or gas. Scenario only; uses user-supplied values, not live rates.
Practical checks before relying on the result
- Confirm the asset, chain, amount and date apply to your own situation.
- Separate supplied assumptions from verifiable source data and do not treat a scenario as a live market quote.
- Document fees, rounding rules and constraints before making an irreversible financial or blockchain decision.
Sources and further verification
These references support technical definitions and research context; they do not validate any hypothetical market price or individual investment.
Financial and blockchain information is educational. No investment advice, custody, private keys or guaranteed outcomes. Examples use illustrative inputs rather than live quotes.