Impermanent Loss Calculator
Analyze divergence loss and liquidity provider profitability for DeFi pools
Total Impermanent Loss
-2.02%
$1,250.00
$1,224.74
-$25.26
Divergence Loss Visualizer
The curve shows how impermanent loss increases as asset prices diverge from the entry ratio.
| Scenario | Asset 1 Change | Asset 2 Change | Impermanent Loss |
|---|
What is an Impermanent Loss Calculator?
An impermanent loss calculator is a specialized financial tool designed for Decentralized Finance (DeFi) participants who provide liquidity to Automated Market Makers (AMMs) like Uniswap, SushiSwap, or PancakeSwap. It measures the difference between holding assets in a wallet versus providing them as liquidity in a 50/50 dual-asset pool.
Liquidity providers (LPs) must understand that when the relative price of the assets in a pool changes, the AMM rebalances the ratio, resulting in the LP holding more of the lower-performing asset. The impermanent loss calculator quantifies this “opportunity cost” in percentage and dollar terms, helping investors decide if trading fees earned will likely offset this divergence loss.
Impermanent Loss Calculator Formula and Mathematical Explanation
The mathematical foundation of the impermanent loss calculator relies on the Constant Product Formula (x * y = k). When prices diverge, the loss is calculated using the ratio of the price change.
The standard formula for a 50/50 pool is:
Where PriceRatio is the relative price change of the assets compared to their ratio at the time of deposit.
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Initial Price | Price of assets at the moment of pool entry | USD / Tokens | 0.000001 to 1,000,000 |
| Current Price | Real-time market price of the assets | USD / Tokens | Any positive value |
| Price Ratio (R) | (P1_end / P1_start) / (P2_end / P2_start) | Ratio | 0 to Infinity |
| IL (%) | Percentage loss compared to holding | Percentage | 0% to -100% |
Practical Examples (Real-World Use Cases)
Example 1: Stablecoin-Volatile Pair (ETH/USDC)
Imagine using the impermanent loss calculator for an ETH/USDC pool. You deposit $500 of ETH (at $2,000) and 500 USDC. Total investment: $1,000. If ETH rises to $3,000 (a 50% increase) and USDC remains $1.00, your impermanent loss calculator will show a loss of approximately 2.02%. While your total portfolio value increased, you would have had $25.26 more if you had simply held the 0.25 ETH and 500 USDC in your wallet.
Example 2: Volatile-Volatile Pair (ETH/BTC)
If you provide liquidity for ETH/BTC, and both assets double in value, the price ratio remains 1:1. In this case, the impermanent loss calculator would show 0% loss because the relative values did not diverge, even though the USD value of both increased significantly.
How to Use This Impermanent Loss Calculator
- Enter Initial Investment: Input the total USD value of the assets you deposited.
- Set Deposit Prices: Enter the market price of Asset A and Asset B at the time of the transaction.
- Set Current Prices: Enter the current market price or a hypothetical future price to simulate “what-if” scenarios.
- Review Results: The impermanent loss calculator instantly updates the percentage loss and compares your “Pool Value” against your “HODL Value.”
- Analyze the Chart: Use the dynamic visualizer to see how different price swings impact your potential losses.
Key Factors That Affect Impermanent Loss Calculator Results
- Asset Correlation: Assets that move together (like WBTC and BTC) result in lower divergence and less loss.
- Price Volatility: High volatility increases the chance of large price swings, leading the impermanent loss calculator to report higher risks.
- Trading Volume: While not calculated in the IL itself, high volume generates fees that can offset the loss calculated by the impermanent loss calculator.
- Time Horizon: The longer you stay in a pool, the more fees you collect, potentially negating the “impermanent” part of the loss if prices eventually return to the entry ratio.
- Pool Weighting: This impermanent loss calculator assumes a 50/50 split; however, pools like Balancer use different weightings (e.g., 80/20), which changes the IL math.
- Staking Rewards: External incentives (yield farming) often provide additional tokens to LPs, which should be added to the pool value when evaluating total ROI.
Frequently Asked Questions (FAQ)
Not necessarily. While the impermanent loss calculator shows a negative value relative to holding, you might still be in profit in absolute USD terms if the assets increased in price. Furthermore, trading fees and farming rewards often exceed the loss.
The loss becomes permanent only when you withdraw your liquidity from the pool. If prices return to the original ratio before you withdraw, the loss disappears.
This specific tool calculates the “divergence loss” component. To find total profit, you must subtract the impermanent loss calculator result from the total fees and rewards earned.
In a 50/50 pool, if one asset goes to zero, you lose 100% of your investment as the AMM sells all the valuable asset for the worthless one.
LPs in volatile pools should check regularly, especially during market swings. Using an impermanent loss calculator during high volatility helps in managing risk and deciding when to exit.
Yes, if one stablecoin “depegs” (loses its $1 value), the impermanent loss calculator will show significant losses as the pool rebalances into the depegged asset.
Uniswap V3 uses “concentrated liquidity,” which significantly amplifies both rewards and the values shown in an impermanent loss calculator.
LPs often use options, futures, or choose pools with highly correlated assets to minimize the figures reported by their impermanent loss calculator.
Related Tools and Internal Resources
- yield farming guide – Learn how to maximize your returns alongside liquidity provision.
- liquidity provider rewards – Explore how various protocols incentivize LPs to offset IL.
- crypto portfolio tracker – Monitor your total assets across various DeFi protocols.
- dex trading strategies – Advanced techniques for trading on decentralized exchanges.
- stablecoin yield – Find the best low-risk opportunities for stablecoin liquidity.
- automated market maker basics – Understanding the math behind the impermanent loss calculator.