Impermanent Loss Calculator

Work out impermanent loss instantly with clear inputs, formula shown and shareable results.

About Impermanent Loss Calculator

In a constant-product pool, price divergence forces the pool to sell the appreciating token and buy the falling one. The resulting shortfall against simply holding is impermanent loss: 2√k/(1+k) − 1, where k is the price ratio.

Formula

Impermanent loss

IL = 2√k/(1 + k) - 1, with k = price now / price at deposit

Worked example

With the default values below, Impermanent Loss Calculator returns Impermanent Loss of -2.6991%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Token Price When You Depositedminimum 0: 100
Token Price Nowminimum 0: 160
Value Depositedminimum 0: 400,000

Results

Impermanent Loss: -2.6991%
Value If Left In The Pool: $505,964.43
Value If You Had Simply Held: $520,000.00
Shortfall Versus Holding: $14,035.57

Step by step

1Values used
2Impermanent loss
3Impermanent Loss= -2.6991
4Value If Left In The Pool= 505,964.43
5Value If You Had Simply Held= 520,000.00
6Shortfall Versus Holding= 14,035.57

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
Figures are estimates for planning only. Market returns are not guaranteed, and rates, limits and tax rules change. This is not financial or tax advice — speak to a qualified adviser before acting.
This is an estimate for general information and not professional financial, tax or legal advice. See the full disclaimer for the limits that apply to this kind of calculator.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Figures are estimates for planning only. Market returns are not guaranteed, and rates, limits and tax rules change. This is not financial or tax advice — speak to a qualified adviser before acting.

Frequently Asked Questions

Why is it called impermanent?

If the price returns to where you deposited, the loss disappears. It becomes permanent when you withdraw at a diverged price.

Do fees compensate for it?

They can. A pool with high volume can earn more in fees than the divergence costs, which is the whole bet in providing liquidity.