AMM V2 / V3 IL Calculator

Calculate impermanent loss for Uniswap V2 and V3 concentrated liquidity positions.

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Guide & Information

How to Calculate AMM Impermanent Loss

01Choose Protocol VersionSelect V2 for the standard full-range 50/50 constant-product model, or V3 for concentrated liquidity where you define a specific price range. In V2, liquidity is spread uniformly across all prices from zero to infinity using the x × y = k invariant. In V3, you concentrate your capital between a lower tick and upper tick, which amplifies both capital efficiency (more fees per dollar) and impermanent loss exposure (larger divergence from HODL when price moves).

02Enter Entry & Current PricesInput P0 as the token price when you entered the liquidity position, and P1 as the current or expected future price. For V2, also enter your total position value in USD. For V3, enter the range boundaries (low and high) that define your concentrated position — these correspond to specific Uniswap V3 ticks (tick = log(price) / log(1.0001)). The V3 formula uses square roots of prices to calculate the liquidity-weighted token amounts: a0 = L × (√Pu - √P) / (√P × √Pu) and a1 = L × (√P - √Pl).

03Analyze the ResultsReview impermanent loss as a percentage and in USD terms. For V2, IL follows the formula: IL = 2√r / (1+r) - 1, where r = P1/P0. For V2, compare the pool value against what you would have if you simply held the tokens (HODL value). For V3, also check whether your position is currently in range — when the price is between your tick bounds, you earn trading fees. An out-of-range position earns zero fees and holds 100% of the asset that depreciated, maximizing impermanent loss.

Privacy & Security

All calculations are performed locally in your browser. No data is sent to any server — your position parameters remain entirely private.

About AMM V2 / V3 Calculator

Compares impermanent loss between constant-product (V2) and concentrated liquidity (V3) AMM positions. V2 distributes liquidity uniformly across the entire price range from zero to infinity, following the invariant x × y = k. V3 (introduced by Uniswap in May 2021) allows providers to concentrate capital within specific tick-bounded price ranges. The V3 IL formula is: IL = (total_pool_value / hodl_value) - 1, where total_pool_value uses the square-root-based concentration formulas. Concentrated positions amplify both capital efficiency and impermanent loss — a 2x price move causes ~5.7% IL in V2 but can cause 20%+ IL in a narrow V3 range.

When to use it

Use before providing liquidity on Uniswap, SushiSwap, Curve, or any AMM to understand the downside risk from price divergence. Essential for LPs deciding between V2 and V3 strategies, or evaluating whether expected trading fees justify the impermanent loss risk.

Tips & Tricks

•Wider V3 ranges behave more like V2 — narrowing your range increases both fee earnings and impermanent loss risk proportionally.
•Impermanent loss is temporary until you withdraw — it only crystallizes when you remove liquidity from the pool.
•Trading fees can offset IL — factor in expected daily volume and your share of the pool to estimate net returns.
•V3 out-of-range positions earn zero fees but still suffer impermanent loss relative to HODL — monitor and rebalance regularly.
•Consider the cost of rebalancing (gas fees + swap fees) when evaluating concentrated liquidity strategies on V3.

Need more help?

See the detailed comparison guide or try a related tool:

IL Calculator Profit / Loss DCA Calculator AMM Price Calculator

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Entry Price P0 ($)

New Price P1 ($)

Position Value ($)

Results

Impermanent Loss-2.02%

IL in USD-$20.20

HODL Value$1,250.00

Pool Value$979.80

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cryptoammuniswapimpermanent-lossv2v3

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