1. Impermanent Loss: A Simple Analogy
Imagine you and a friend each put $50 into a shared envelope, with the agreement that either of you can trade what is inside at any time. You contribute one gold coin worth $50. Your friend contributes $50 in cash. The envelope now contains one gold coin and $50 cash, for a total value of $100.
Now suppose the price of gold doubles to $100. A trader notices that your envelope still contains one gold coin priced at $50 (according to the original ratio), so they swap $50 cash for your gold coin. The envelope now holds $100 cash and no gold. You and your friend each still have $50 in value, but you no longer have any gold.
If instead you had simply held your gold coin and your friend held their cash, you would have $100 worth of gold and they would still have $50 cash. The shared envelope made you both worse off compared to holding individually. That difference, the $50 you lost by participating in the pool, is impermanent loss.
In crypto, the "envelope" is an Automated Market Maker (AMM) like Uniswap. The "gold coin" and "cash" are two tokens, such as ETH and USDC. When you deposit into a liquidity pool, the AMM automatically rebalances your holdings as prices change, always leaving you with less of the appreciating asset and more of the depreciating one.
2. Why IL Happens: The Constant Product Formula
AMMs like Uniswap V2 use a simple but powerful math formula: x × y = k. Here, x is the quantity of Token A, y is the quantity of Token B, and k is a constant. This formula ensures the pool always has liquidity for trades, but it also creates impermanent loss.
When traders buy Token A from the pool, they pay with Token B. The pool's ratio shifts: there is less Token A and more Token B. The price of Token A in terms of Token B automatically rises according to the formula. This is how AMMs determine prices without order books.
The critical insight is that the pool rebalances geometrically, not arithmetically. If Token A doubles in price, the pool does not simply sell half your Token A. It sells enough Token A to maintain the constant product, which means you end up with significantly less Token A than if you had held it.
The impermanent loss formula compares your LP value to a simple hold strategy. If r is the price ratio change (new price / old price), then:
IL = (2 × √r) / (1 + r) − 1
This formula assumes a 50/50 pool with no fees. When r = 1 (no price change), IL = 0. When r = 2 (price doubles), IL = −5.7%. When r = 0.5 (price halves), IL is also −5.7%. IL is symmetric: it does not matter whether the price goes up or down; what matters is the magnitude of the change.
Calculate IL for Any Price Scenario
Enter your pool's tokens and price changes to see exactly how much impermanent loss you would face.
Open IL Calculator →3. IL by Price Multiplier: Quick Reference Table
Use this table to quickly estimate impermanent loss for any price change:
| Price Change | Multiplier (r) | Impermanent Loss |
|---|---|---|
| No change | 1.0x | 0% |
| +25% / −20% | 1.25x / 0.8x | −0.6% |
| +50% / −33% | 1.5x / 0.67x | −2.0% |
| +100% / −50% | 2.0x / 0.5x | −5.7% |
| +200% / −67% | 3.0x / 0.33x | −13.4% |
| +400% / −80% | 5.0x / 0.2x | −25.5% |
| +900% / −90% | 10.0x / 0.1x | −42.5% |
This table reveals why volatile pairs are so dangerous for liquidity providers. A mere doubling of price (2x) costs you 5.7% relative to holding. A 5x move, common for altcoins during bull markets, costs 25.5%. By the time a token does 10x, you have lost 42.5% compared to simply holding it.
4. Can Trading Fees Offset IL?
Yes, but only if the pool generates enough trading volume. Every swap in the pool incurs a fee, typically 0.05%, 0.3%, or 1%, depending on the pool tier. These fees are distributed proportionally to all liquidity providers.
The break-even calculation is straightforward: your fee earnings must exceed your impermanent loss. If you face 5.7% IL from a 2x price move, and the pool generates 20% APR in fees, you break even in roughly 3.5 months. If the pool generates only 5% APR in fees, you break even in 14 months, by which time the price may have moved again.
High-volume pools on popular pairs (ETH/USDC, WBTC/USDC) typically generate enough fees to offset moderate IL. Niche pools with low volume rarely do. Before entering any pool, estimate the fee APR by looking at the pool's 24-hour volume and your share of the total liquidity.
For a safer alternative to volatile LP pairs, consider stablecoin lending strategies that offer predictable yields without impermanent loss.
5. Safe vs Dangerous LP Pairs
Not all liquidity pools carry the same IL risk. Here is how to categorize them:
Safest: Stablecoin pairs (USDC/USDT, USDC/DAI). Both assets target $1, so price divergence is minimal. IL is typically under 0.1%. The main risk is stablecoin depeg, not IL.
Low risk: Liquid staking token pairs (stETH/ETH, rETH/ETH). These track the same underlying asset with minimal price divergence. IL is usually under 1%.
Moderate risk: Large-cap pairs (ETH/WBTC, ETH/USDC). These assets are correlated with the broader crypto market but can diverge significantly. IL of 5-15% is common during market cycles.
High risk: Memecoin pairs (PEPE/ETH, SHIB/ETH). These can move 10x or collapse 90% in weeks. IL of 25-40% is routine. Only enter these pools if you are indifferent to holding either asset.
Extreme risk: Low-cap altcoin pairs. Illiquid tokens can experience violent price swings and trading halts. You may be unable to withdraw or face massive IL before you can exit.
6. When IL Becomes Permanent
Impermanent loss is only "impermanent" if the price ratio returns to its original level. If you withdraw your liquidity while the price divergence exists, the loss becomes permanent. You have effectively sold the appreciating asset at a discount and bought the depreciating asset at a premium.
Many liquidity providers make the mistake of panicking during market downturns and withdrawing at the worst possible moment. If ETH drops 50% and you withdraw from an ETH/USDC pool, you have permanently realized the IL. If you had held, and ETH later recovered, the IL would have vanished.
The key decision is whether to stay in the pool or exit. Stay if you believe the price ratio will revert and the fee earnings justify the wait. Exit if the price divergence is structural (one token is fundamentally failing) or if you need the capital elsewhere. There is no universal answer, only a risk-reward calculation specific to each situation.
Before providing liquidity to any pool, use our Impermanent Loss Calculator to simulate your exact scenario and determine if trading fees can offset the expected IL.