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Liquidity

50/50 Impermanent Loss Calculator

Impermanent loss compares a liquidity-pool position with simply holding its original assets. This calculator models a 50/50 constant-product pool when one asset’s price changes relative to the other. Enter the relative price multiplier, the starting position value and any assumed earned fees. It calculates the percentage difference from holding and a scenario value difference. It does not model concentrated-liquidity ranges, protocol incentives, pool leverage or changes in the reference asset’s external price.

Explicit assumptionsFormula & methodology includedNo account required

Set your assumptions

CALCULATE LOCALLY

Default values are an illustrative scenario, not current market quotes. Use consistent quote-currency units across your inputs.

Your scenario

ESTIMATED RESULT
Impermanent loss versus holding-5.72%
Dollar difference versus holding$-857.86
LP value including supplied fees$14,242.14
Net difference after supplied fees$-757.86
IL fraction = 2 × sqrt(relative price factor) / (1 + relative price factor) − 1. Holding value = initial position × (1 + factor) / 2. LP value = initial position × sqrt(factor).

Unlevered, full-range 50/50 constant-product pool. One asset’s USD price changes by the factor while the other stays constant. Fees are supplied separately and not reinvested. Concentrated liquidity, incentives and protocol losses are excluded.

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Explore how the result changes

Sensitivity analysis: only the selected input changes. Other assumptions stay fixed. Points outside the model’s valid range are excluded. This is not a forecast.

Read methodology ↗

What the relative price multiplier means

A multiplier of 2 means the first asset doubles relative to the second. A multiplier of 0.5 means it halves. It is a ratio between asset prices, not automatically the dollar-price change of either token by itself.

For an idealized 50/50 constant-product pool, relative performance versus holding is 2 times the square root of the ratio, divided by 1 plus the ratio, minus 1. At a ratio of 2, the result is approximately −5.72%.

Dollar loss depends on the holding baseline

The percentage loss applies to the ending value of holding the original assets, not to the initial deposit value. Under the model’s stable reference-price assumption, the ending holding baseline is the initial total multiplied by the average of 1 and the price ratio.

That distinction matters: a pool can rise in dollar value and still underperform holding. A negative relative-performance figure is not necessarily a negative absolute investment return.

Fee income is a separate scenario

Supplied earned fees are added to the modeled pool outcome for comparison. They are not forecast from historical volume and are not assumed to compound. Real outcomes depend on actual fee income, transaction costs, changing liquidity and protocol mechanics. The constant-product formula should not be applied unchanged to a concentrated-liquidity position.

Questions about this tool

Is the loss guaranteed to disappear if I wait?

No. The term describes relative performance as prices change. Waiting does not guarantee a return to the initial relative price.

Does this work for Uniswap V3 concentrated positions?

No. It is a full-range 50/50 constant-product model. Range-dependent positions need a different calculation.

Sources and further reading

Uniswap V2 returns ↗

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