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Constant-Product Impermanent Loss Calculator — result sheet
Estimate the relative value difference between a constant-product liquidity position and holding the two assets after a price-ratio change.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: LP-to-hold value ratio = 2√r/(1+r); impermanent loss = ratio−1; LP value = initial value×ratio under the no-fee, no-withdrawal model.
The model isolates the constant-product rebalancing effect and keeps trading fees, rewards, and token prices outside the calculation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Initial position value — currency; minimum 1.0E-6; maximum 1.0E+15
- New price ratio / initial price ratio — minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Initial position value | 10000 |
| New price ratio / initial price ratio | 2 |
LP-to-hold ratio ≈ 0.9428; impermanent loss ≈ −5.72%.
Assumptions and limits
- The pool follows a two-asset constant-product rule and the price ratio is the only change.
- No fees, incentives, deposits, withdrawals, slippage, or external price changes are included.
- The result is a relative scenario, not a prediction or investment recommendation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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