AMM impermanent loss scenario calculator

Compare a balanced two-asset liquidity position with holding the same starting assets. This is a price-change scenario, not a return forecast or recommendation.

Enter three assumptions and calculate.

The starting asset amounts are treated as a balanced 50/50 value deposit at the pool’s implied starting price (asset B amount divided by asset A amount). Enter a price change greater than -100%; the relative price must stay above zero.

Method and assumptions

Let r be the final price of asset A in asset B divided by its implied starting price. The initial pool is assumed to hold amounts A₀ and B₀ with starting price B₀/A₀. For a fee-free constant-product pool, the modeled ending reserves are A₀/√r and B₀√r. The LP value in asset B is therefore 2B₀√r. Holding the original amounts is worth A₀ × (B₀/A₀ × r) + B₀ = B₀(1+r). The calculator reports LP value minus hold value, and that difference as a percentage of hold value.

Uniswap v2 uses a constant-product reserve relationship. Uniswap v3 LPs instead choose a price range; this calculator does not model a concentrated range, out-of-range positions, or range-specific fees.

Excluded: swap fees earned, protocol fees, gas, pool changes, deposits or withdrawals, taxes, and any price path between the start and end. The calculation is relative to holding the starting assets; it does not say whether either outcome is a profit or loss in your own currency.

Sources

• Uniswap v2 Core whitepaper — constant-product pair mechanics.
• Uniswap Developers: How Uniswap Works — pool reserves, x × y = k, and the v3 price-range model.

Sources reviewed 2026-11-03. This tool uses only the values you enter and performs the calculation in your browser.

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