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Impermanent Loss Worksheet

Estimate classic two-asset impermanent loss from a relative price ratio you enter.

Classic IL formula
Ratio input
vs HODL

Educational IL worksheet: valueFactor = 2√r/(1+r); IL% = (valueFactor − 1)×100. Not a live pool simulator.

Limitation: Educational worksheet only—not LP advice.

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Free Calculators HubImpermanent Loss Calculator

How to Use the IL Worksheet

Enter assumptions you control; nothing is fetched live.

1

Enter the new price ratio relative to entry (r > 0).

r = 1 means no IL

When the ratio is unchanged, IL% is 0.

What It Calculates

For constant-product pools, value vs HODL ≈ 2√r/(1+r). IL% = (factor − 1)×100.

Examples

2× price move

Scenario inputs

priceRatio:2

Worksheet result

≈ −5.72% IL

2√2/(1+2) − 1 ≈ −5.72%.

Unchanged price

Scenario inputs

priceRatio:1

Worksheet result

0% IL

2√1/(1+1) − 1 = 0.

Change one input at a time

Label currency and horizon so scenarios stay comparable.

Frequently Asked Questions

New relative price divided by entry relative price for the pair.

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Formulas

Transparent arithmetic on user-entered figures.

Formula

2√r ​/​ ​(​1 ​+​ r​)​

Value factor vs HODL

2√r ​/​ ​(​1 ​+​ r​)​

IL percent

​(​valueFactor − 1​)​ ​×​ 100

Scientific Background

Assumptions: 50/50 constant-product pool without fees. Limitations: no concentrated liquidity. Educational only.

Sources & review

Impermanent Loss Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

See our methodology and corrections policy.