⚡ DeFi Liquidity Math Engine

Crypto Impermanent Loss Calculator

Calculate impermanent loss, simulated trading fee offset, and break-even holding days for Uniswap v2 & v3, Raydium, and PancakeSwap liquidity pools.

⚙️ Pool Parameters ✓ Self-Test: 5/5 Passing
$
$
$
$
$
%
d
📊 Real-Time Impermanent Loss & Net Alpha
Net Impermanent Loss
-2.02%
-$232.05 vs HODL
🟢 Fees Offset IL: Net Alpha +$76.22 over HODL
Value if Held (HODL)
$12,500.00
Value in LP (ex. fees)
$12,267.95
Earned Trading Fees
+$308.22
Break-Even Holding Time
34 Days
Price Ratio ($k = P_{new}/P_0$) Current Position Dot
0% -10% -25% -50%
📑 Comprehensive Position Balance & Asset Composition
Scenario Token A Hold Token B Hold Total Portfolio ($) Net Gain vs Initial
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The Exact Mathematical Formula for Impermanent Loss

Impermanent loss occurs in Automated Market Maker (AMM) liquidity pools (such as Uniswap v2, Sushiswap, and PancakeSwap) when the price ratio of your deposited tokens diverges from when you deposited them. Because the AMM relies on the constant product formula x * y = k, arbitrageurs constantly trade with the pool to align internal pool prices with external exchange prices, rebalancing your position towards the depreciating asset.

For any two-asset pool with equal 50/50 value weight, let k = (1 + ΔP_A) / (1 + ΔP_B) represent the relative price change ratio between Token A and Token B. The exact mathematical formula for Impermanent Loss is:

IL = (2 * sqrt(k)) / (1 + k) - 1

Notice that whether the price ratio doubles (k = 2) or halves (k = 0.5), the impermanent loss is identical: exactly -5.72%. When a token surges 5x relative to its pair (k = 5), impermanent loss reaches -25.46%.

Concentrated Liquidity (Uniswap v3) Dynamics

Uniswap v3 introduces concentrated liquidity, allowing LPs to allocate capital within a custom price interval [P_min, P_max]. While concentrated liquidity exponentially increases capital efficiency and fee generation (often 10x to 50x higher than v2), it also amplifies impermanent loss within that active range. If the market price crosses outside of your specified tick interval, your position becomes 100% composed of the depreciated asset and completely stops earning trading fees.

Frequently Asked Questions (DeFi Engineering FAQ)

❓ When does impermanent loss become permanent loss?
Impermanent loss remains purely theoretical and unrealized as long as your liquidity remains in the pool. If the price ratio returns to its original entry ratio, the impermanent loss drops back to exactly zero. However, the moment you withdraw your LP tokens or remove liquidity while prices have diverged, the loss is crystallized permanently into your wallet balance.
❓ How does Fee APR compensate for Impermanent Loss?
Every trade executed through the liquidity pool pays a swap fee (e.g. 0.05%, 0.3%, or 1.0%) directly to liquidity providers. If the trading volume is sufficiently high, accumulated fees will exceed the impermanent loss drag. Net LP profit over holding is: Net Alpha = (V_lp + Accumulated_Fees) - V_hodl. If this number is positive, providing liquidity was more lucrative than merely holding the tokens in your cold wallet.
❓ What is the Break-Even Holding Period?
The break-even holding period is the minimum number of days of continuous fee generation required to offset the calculated impermanent loss. It is computed as: Break-Even Days = (|IL_Dollars| / (V_initial * (Fee_APR / 365))). If your pool's trading volume drops, break-even days will increase accordingly.
❓ Does providing liquidity on stablecoin pairs (e.g. USDC/USDT) have impermanent loss?
For correlated pairs pegged 1:1 to the same asset, the price ratio k ≈ 1.0, meaning impermanent loss is practically 0.00%. The only risk of IL on stablecoin pairs occurs during depeg events (e.g. UST in 2022 or USDC in March 2023), where arbitrageurs dump the depegging stablecoin into the pool until it holds 100% bad debt.
❓ How do I hedge impermanent loss in production?
Professional market makers hedge impermanent loss by opening delta-neutral short perpetual futures or dynamic options straddles. As the underlying token price increases and the LP position sells spot inventory, the short perp position generates cash profit to offset the spot impermanent loss.
❓ Is my wallet or financial data tracked by this calculator?
No. This tool operates 100% client-side in your local browser sandbox. It requires zero Web3 wallet connection, zero signature requests, and zero remote API tracking. You can even run it offline without an internet connection.
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Frequently Asked Questions

Is Crypto Impermanent Loss Calculator free to use?

Yes, Crypto Impermanent Loss Calculator is completely free with no signup or registration required. All processing happens directly in your browser.

Is my data safe?

Absolutely. Your data never leaves your device. Everything runs locally in your browser — no uploads, no servers, no tracking.

Do I need to install anything?

No installation needed. Crypto Impermanent Loss Calculator works entirely in your web browser on both desktop and mobile devices.

How do I use

Simply enter or paste your input in the tool above, and the result will be generated instantly. No configuration required.

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