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Impermanent Loss Calculator

Calculate impermanent loss when providing liquidity to AMM pools like Uniswap and Balancer. Compare LP returns vs HODL strategy with real-time analysis.

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About Impermanent Loss Calculator

The Impermanent Loss Calculator is an essential DeFi tool for liquidity providers in Automated Market Maker (AMM) protocols like Uniswap, SushiSwap, PancakeSwap, and Balancer. Enter your initial and current token prices along with your investment amount to instantly see your impermanent loss percentage, compare LP returns against a HODL strategy, and determine the break-even fee APY needed to offset your losses.

What is Impermanent Loss?

Impermanent loss is the difference in value between holding tokens in a liquidity pool versus simply holding them in your wallet (the "HODL" strategy). When you provide liquidity to an AMM, you deposit two tokens at a certain price ratio. As the market price changes, arbitrage traders rebalance your pool position, which can result in you having less value than if you had simply held the tokens.

The term "impermanent" is used because the loss only becomes realized (permanent) when you withdraw your liquidity. If the price returns to its original ratio before you withdraw, the loss disappears entirely. However, if you withdraw while prices have diverged, the loss becomes permanent.

Impermanent Loss Formula

Standard 50/50 Pool Formula

For standard AMM pools with equal 50/50 weighting (like Uniswap V2):

$$IL = \frac{2\sqrt{r}}{1 + r} - 1$$

Where $r = P_1 / P_0$ is the price ratio (current price divided by initial price).

Weighted Pool Formula

For Balancer-style weighted pools with weight $w$ for Token A:

$$IL = \frac{r^w}{w \cdot r + (1 - w)} - 1$$

Where $w$ is the pool weight of the volatile token (0.5 for 50/50, 0.8 for 80/20, 0.95 for 95/5).

Impermanent Loss Reference Table

Here are common price change scenarios and their corresponding impermanent loss for a standard 50/50 pool:

Price Change Price Ratio Impermanent Loss
-50% (halved) 0.5x -5.72%
-25% 0.75x -1.03%
0% (no change) 1.0x 0.00%
+50% 1.5x -2.02%
+100% (doubled) 2.0x -5.72%
+200% (tripled) 3.0x -13.40%
+400% (5x) 5.0x -25.46%

Understanding Pool Types

Standard 50/50 Pools

Most AMMs (Uniswap, SushiSwap, PancakeSwap) use 50/50 pools where half your value is in each token. These pools experience the standard impermanent loss curve. The loss is symmetrical -- a 50% price drop and a 100% price increase both result in the same 5.72% loss.

Weighted Pools (80/20, 95/5)

Protocols like Balancer allow weighted pools with unequal ratios. In an 80/20 pool, 80% of your value is in the primary token and 20% in the secondary token. Impermanent loss from price changes in the 80% token is significantly reduced compared to a 50/50 pool. Weighted pools are popular for projects wanting to maintain majority exposure to their native token while still providing liquidity and earning fees.

How to Use This Calculator

  1. Select pool type -- Choose 50/50 for standard AMMs like Uniswap, or select 80/20 or 95/5 for Balancer-style weighted pools.
  2. Enter initial token price -- Input the price of your volatile token when you first provided liquidity (e.g., enter 2000 if ETH was $2,000).
  3. Enter current token price -- Input the current market price of the same token.
  4. Enter investment amount -- Your total initial investment in USD. This calculates dollar-denominated gains and losses.
  5. Review results -- Results update in real-time showing impermanent loss percentage, HODL value, LP value, dollar loss, and break-even fee APY.

Understanding Your Results

  • Impermanent Loss %: The percentage of value lost compared to holding. A -5% IL means your LP position is worth 5% less than if you had just held the tokens.
  • HODL Value: What your tokens would be worth if you had simply held them in your wallet without providing liquidity.
  • LP Value: The current value of your liquidity position after accounting for impermanent loss (before trading fees).
  • Dollar Loss: The actual USD difference between HODL and LP values.
  • Break-even Fee APY: The minimum annual trading fee yield needed to offset your impermanent loss. If your IL is 5%, you need at least 5% APY from trading fees to break even.

Strategies to Minimize Impermanent Loss

  • Provide liquidity to correlated pairs -- Pairs where both tokens tend to move together (like stablecoin pairs USDC/USDT or wrapped assets) experience minimal IL since the price ratio stays stable.
  • Choose high-fee pools -- Pools with higher trading fees generate more fee revenue to offset IL. High-volume pools with elevated fees can often overcome significant IL through fee accumulation.
  • Use weighted pools -- If you are bullish on a specific token, an 80/20 or 95/5 weighted pool lets you maintain high exposure while still earning fees, with reduced IL from price increases.
  • Time your entry and exit -- Enter pools when you believe the price ratio is relatively stable and avoid withdrawing during extreme price divergence.
  • Use concentrated liquidity -- Uniswap V3 allows concentrated liquidity within price ranges, optimizing returns if prices stay within your chosen range.

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Frequently Asked Questions

What is impermanent loss?

Impermanent loss (IL) is the difference between holding tokens in a liquidity pool versus simply holding them in your wallet. It occurs when the price ratio of pooled tokens changes from when you deposited them. The loss is called "impermanent" because it only becomes permanent when you withdraw your liquidity. If prices return to their original ratio, the loss disappears entirely.

How is impermanent loss calculated?

For a standard 50/50 AMM pool, impermanent loss is calculated using the formula: $IL = \frac{2\sqrt{r}}{1 + r} - 1$, where $r$ is the price ratio (current price divided by initial price). For example, if a token doubles in price ($r = 2x$), the impermanent loss is approximately 5.72%. If the price increases 5x, the loss is about 25.46%.

Can impermanent loss be avoided?

Impermanent loss cannot be completely avoided when providing liquidity to variable-price token pairs. However, you can minimize it by providing liquidity to stablecoin pairs (minimal price variation), using weighted pools like 80/20 or 95/5 that reduce IL from price movements, choosing pools with high trading fees that offset IL, or using single-sided staking options where available.

What is the difference between 50/50 and weighted pools?

Standard AMM pools like Uniswap use a 50/50 ratio, meaning half your value is in each token. Weighted pools (like Balancer) allow different ratios such as 80/20 or 95/5. Higher weight pools experience less impermanent loss from price changes in the dominant token but more loss from price changes in the smaller-weight token. An 80/20 pool has roughly 60% less IL than a 50/50 pool for the same price movement in the 80% token.

When does impermanent loss become permanent?

Impermanent loss becomes permanent (realized) only when you withdraw your liquidity from the pool. If you keep your position and prices return to the original ratio, the impermanent loss disappears completely. This is why it is called "impermanent." Many liquidity providers wait for favorable price ratios before withdrawing or rely on trading fees earned to offset potential losses.

Is providing liquidity still profitable with impermanent loss?

Yes, liquidity provision can be profitable despite IL. The key is whether trading fees, liquidity mining rewards, and other incentives exceed your impermanent loss. High-volume pools with good fee structures often generate returns that more than compensate for IL, especially for pairs with moderate volatility. Our calculator shows the break-even fee APY needed to offset your specific IL.

How much APY do I need to break even?

Your break-even APY equals your impermanent loss percentage (assuming annual holding). If your IL is 5%, you need at least 5% APY from trading fees to break even. If the pool generates fees and rewards exceeding this amount, providing liquidity is profitable despite impermanent loss.

Why is impermanent loss symmetric for 50/50 pools?

In a 50/50 pool, the impermanent loss formula $IL = \frac{2\sqrt{r}}{1 + r} - 1$ is symmetric because the function depends only on the magnitude of the price ratio $r$, regardless of whether the price went up or down. For example, $r = 0.5$ (price halved) and $r = 2$ (price doubled) both produce the same IL value. This happens because the AMM's rebalancing mechanism treats upward and downward price movements symmetrically in terms of value lost to arbitrage.