Impermanent Loss Calculator
Ever wondered why, after adding crypto to a liquidity pool, your portfolio sometimes looks a bit worse than if you’d just kept the tokens in your wallet? That dip is called impermanent loss the temporary reduction in value that occurs when the price ratio of the deposited assets changes compared to holding them outright. It’s not a bug, it’s a built‑in side effect of how automated market makers (AMMs) protocols that price assets using a mathematical formula instead of an order book work.
- Impermanent loss (IL) appears when token prices diverge after you supply liquidity.
- The constant product formula (x×y=k) forces the pool to rebalance, creating the loss.
- Trading fees can offset IL, especially in high‑volume pairs.
- Stablecoin pairs usually suffer minimal IL, while volatile pairs can see double‑digit losses.
- New tools like concentrated liquidity and IL‑protection protocols help tame the risk.
What Exactly Is Impermanent Loss?
When a liquidity provider (LP) someone who deposits two tokens into a pool and earns a share of the trading fees adds assets, the protocol requires a 50:50 value split (or another preset ratio). If the market price of one token moves up or down, arbitrage traders will swap against the pool to bring the pool’s price back in line with the market. That rebalancing means the LP ends up holding a different mix of tokens than they originally deposited, and the total dollar value can be lower than simply holding the two tokens.
The loss is called “impermanent” because if the price ratio returns to its starting point, the LP’s value also returns to the original level. In practice, price ratios rarely snap back perfectly, so the loss can become effectively permanent unless the LP exits the position.
How the Constant Product Formula Drives the Loss
Most AMMs, including Uniswap the first widely adopted AMM DEX that uses the x×y=k formula and SushiSwap a Uniswap fork with its own token incentives, rely on the constant product equation:
x×y=k
Here, x and y are the quantities of the two tokens, and k stays constant. Suppose you deposit 1ETH (worth $2,000) and $2,000 worth of USDC. The pool starts with x=1 ETH and y=2,000 USDC, so k=2,000.
If ETH spikes to $3,000, arbitrageurs will sell USDC to the pool to bring the pool’s price up. The pool might end up with 0.82ETH and 2,439USDC. Your share is now worth 0.82×$3,000+2,439≈$4,901, whereas simply holding 1ETH + 2,000USDC would be worth $5,000. The difference ($99) is your impermanent loss, about 2% of the initial value.
The math gets steeper as price swings grow. A 50% price drop can generate an IL of roughly 12% for a 50:50 pool.
Real‑World Examples: Stable vs. Volatile Pairs
Let’s compare two common pools:
| Pair | Typical price swing (30days) | Estimated IL % | Average trading fee % (per swap) | Fee revenue needed to break even |
|---|---|---|---|---|
| USDC/USDT (stable‑stable) | ±0.1% | ≈0.01% | 0.05% - 0.30% | Very low - fees quickly cover IL |
| ETH/USDC (volatile‑stable) | ±15% | ≈1.1% | 0.10% - 0.30% | High volume needed; often covered in bull markets |
| ETH/BTC (volatile‑volatile) | ±25% | ≈2.5% | 0.20% - 0.50% | Only very active pools can offset IL |
Stablecoin pairs barely lose value, so most LPs earn net profit from fees alone. Volatile pairs can still be profitable if the pool sees a lot of swaps, but the risk of a 2‑3% IL in a month is real.
How Trading Fees Help Neutralise the Loss
Every swap on an AMM charges a trading fee a small percentage taken from each trade and distributed to LPs proportionally. Fees typically range from 0.05% (low‑volume DEXes) up to 1% (high‑risk, high‑reward pools). If a pool generates $10,000 in fees over a week and you own 1% of the pool, you collect $100. That $100 can offset, or even exceed, the $99 IL from the ETH price jump in our earlier example.
Because fee income is proportional to volume, “hot” pairs like ETH/USDC during market rallies often beat the IL cost. Conversely, a quiet pair will struggle to recover its loss.
Mitigation Strategies for Everyday LPs
Here are the most practical ways to keep IL from eating your returns:
- Start with stablecoin pairs. USDC/USDT, DAI/USDC, or BUSD/USDC let you learn the mechanics with near‑zero IL.
- Choose pairs that move together. Tokens with correlated price actions (e.g., wrapped Bitcoin and Bitcoin) reduce divergence.
- Look for pools that offer concentrated liquidity (Uniswap V3). By setting a narrow price range, you allocate capital where trades actually happen, shrinking exposure to out‑of‑range price moves.
- Monitor fee APR (annual percentage rate). If the fee APR comfortably exceeds the projected IL for the expected price swing, the pool is likely worth the risk.
- Consider impermanent loss protection protocols services that reimburse LPs after a set period if losses exceed a defined threshold. Projects like Yield Guard or IL‑Shield offer such coverage for a premium.
- Re‑balance manually. Some advanced LPs withdraw and re‑deposit when price gaps widen, effectively resetting the IL baseline.
Each tactic has trade‑offs. Concentrated liquidity, for instance, demands more active management because if the market moves outside your range your capital sits idle.
Tools and Calculators You Should Use
Before you lock any capital, run the numbers. Popular calculators let you input token prices, pool composition, and fee structures to spit out projected IL and break‑even points. Many DeFi dashboards (e.g., DeFi Pulse, Zapper) embed these calculators directly.
Key data to track:
- Current pool reserves (x and y values).
- External market price of each token.
- Pool fee tier (0.05%, 0.30%, 1%).
- Volume over the last 24h - high volume usually means higher fee earnings.
Plug those into the constant product equation and the IL formula:
IL % = 2×√(price_ratio)/(1+price_ratio)-1
Most calculators do the heavy lifting, but understanding the formula helps you spot when a pool’s advertised APR looks too good to be true.
When Impermanent Loss Is Worth It
Imagine a scenario where ETH rallies 30% in a week, and the ETH/USDC pool on a major DEX processes $200M worth of swaps daily with a 0.30% fee. Your 1% share nets roughly $600 in fees that week, while the IL sits around 1.5% (≈$30 on a $2,000 position). You come out ahead by a comfortable margin.
Conversely, during a sharp market crash, a volatile pair can swing 40%, leading to an IL of about 5%. If volume dries up, fees may not cover that loss, and you’ll see a net dip.
The takeaway: combine price‑movement expectations with fee‑generation forecasts. If the fee APR comfortably exceeds the projected IL, the pool can be a net positive.
Future Outlook: Less Impermanent Loss?
DeFi is already evolving. Concentrated liquidity a Uniswap V3 feature allowing LPs to allocate capital within specific price bands reduces exposure to extreme price moves. Dynamic fee adjustment protocols that raise fees when volatility spikes, helping offset higher IL risk is being tested on newer AMMs. And a growing number of insurance‑style products now offer IL protection for a small premium. While the mechanical loss will always exist in a constant‑product AMM, these tools are making it less of a deal‑breaker for everyday investors.
Frequently Asked Questions
What triggers impermanent loss?
Any price divergence between the two tokens you supplied to a pool creates an imbalance. Arbitrage traders exploit that gap, rebalancing the pool and leaving you with a different token mix, which can be worth less than if you’d just held the assets.
Can I ever lose more than the impermanent loss amount?
Yes. If the smart contract is exploited, if gas costs eat a large part of your returns, or if you withdraw at a bad time (e.g., after a big loss but before fees accrue), the net result can be worse than the calculated IL.
How do I calculate the expected impermanent loss?
Use the formulaIL%=2×√(price_ratio)/(1+price_ratio)‑1, where price_ratio is the new price divided by the initial price of the asset you’re tracking. Many online calculators do this automatically.
Are stablecoin pairs completely safe from impermanent loss?
They’re not 100% immune, but price drift is usually under 0.1%, so the IL is negligible-often far less than the fees you earn.
What is the best way to protect against impermanent loss?
Combine three practices: start with low‑volatility pairs, choose pools with high fee APR, and consider IL‑protection protocols or concentrated liquidity ranges that match your price expectations.
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