Impermanent Loss Calculator

What Is Impermanent Loss?

Impermanent loss is one of the most important concepts for anyone providing liquidity in decentralized finance (DeFi). When you deposit two tokens into an automated market maker (AMM) liquidity pool, the protocol algorithmically rebalances your holdings as prices change. This rebalancing means that if one token appreciates significantly relative to the other, your pool position ends up with more of the cheaper token and less of the expensive one compared to simply holding both tokens in your wallet.

The term "impermanent" reflects the fact that this loss is only realized when you withdraw your liquidity. If the prices of both tokens return to their original ratio, the loss disappears entirely. However, in practice, many liquidity providers face persistent impermanent loss because crypto asset prices are highly volatile. Understanding impermanent loss is essential before committing capital to any AMM pool, whether on Uniswap, SushiSwap, PancakeSwap, Curve, or other decentralized exchanges. This calculator helps you quantify the risk so you can make data-driven decisions about which pools to enter and when to exit.

How to Calculate Impermanent Loss

The standard impermanent loss formula for a 50/50 constant-product AMM pool is derived from the relationship between the initial and current price ratio of the two tokens. The key insight is that IL depends only on the magnitude of the price ratio change, not on which direction prices moved or the absolute dollar values.

To use this formula step by step: First, calculate the initial price ratio by dividing Token B price by Token A price at the time of deposit. Then calculate the current price ratio in the same way. Divide the current ratio by the initial ratio to get r. Take the square root of r, multiply by 2, divide by (1 + r), and subtract 1. The result is a negative fraction representing your percentage loss relative to HODLing. For example, if r = 2 (meaning the price ratio doubled), IL = 2 * 1.414 / 3 - 1 = -5.72%. The dollar value of impermanent loss equals the HODL value multiplied by the absolute IL percentage.

To calculate the HODL value, assume your initial investment was split 50/50 by dollar value between the two tokens. Track how each token's price changed and compute the total value if you had simply held both. The LP position value equals the HODL value multiplied by (1 + IL). The difference between LP value and HODL value is your impermanent loss in dollar terms.

Worked Examples

Let us walk through three realistic scenarios to illustrate how impermanent loss works in practice with actual numbers.

Impermanent Loss by Price Change

This reference table shows impermanent loss at various price ratio changes for a standard 50/50 constant-product pool. Notice how IL accelerates non-linearly as price divergence increases.

When to Use This Calculator

This impermanent loss calculator is designed for several key scenarios in decentralized finance decision-making.

• Before entering a liquidity pool: Estimate your potential impermanent loss based on expected price movements. Compare the projected IL against the pool's fee income to determine if providing liquidity is worthwhile.
• Monitoring an existing position: Track how price changes in your pool are affecting your position relative to HODLing. This helps you decide the optimal time to withdraw liquidity.
• Comparing different pools: Evaluate IL risk across multiple token pairs and fee tiers. A volatile pair with 1% fees might outperform a stable pair with 0.05% fees depending on volume.
• Educational purposes: Students and newcomers to DeFi can use this tool to build intuition about how AMMs work and why impermanent loss occurs before risking real capital.

Tips for Minimizing Impermanent Loss

While impermanent loss cannot be eliminated entirely in standard AMM pools, these strategies help reduce your exposure.

1. Choose correlated pairs. Tokens that move together in price (like ETH/stETH or USDC/USDT) experience minimal price ratio changes, keeping IL near zero.
2. Prioritize high-fee pools. Pools with higher trading volume relative to TVL generate more fee income, which can offset IL. Always check the actual fee APR, not just the advertised rate.
3. Use concentrated liquidity wisely. On Uniswap v3 or similar platforms, setting a narrow price range increases fee efficiency but amplifies IL. Only concentrate liquidity if you actively manage your position.
4. Monitor price divergence. Set alerts for when the price ratio moves beyond your comfort threshold. Withdrawing early can prevent small IL from becoming significant.
5. Consider IL insurance protocols. Some DeFi protocols offer impermanent loss protection or insurance. Evaluate whether the cost of protection is justified by your pool's risk profile.