Impermanent Loss Calculator

Estimate the opportunity cost of providing liquidity versus holding your assets.

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Note: This impermanent loss calculator assumes a standard 50/50 liquidity pool and does not account for trading fees earned, which can offset or even negate the loss. The loss is ‘impermanent’ because it only becomes realized when you withdraw your liquidity.

Impermanent Loss Curve

This chart illustrates how impermanent loss increases as the price ratio between the two assets diverges. The red dot indicates your current calculated position.

What is an Impermanent Loss Calculator?

An impermanent loss calculator is a financial tool used in the world of decentralized finance (DeFi) to estimate the potential opportunity cost of providing liquidity to an Automated Market Maker (AMM) liquidity pool. It compares the value of your assets if you left them in a liquidity pool against the value they would have if you had simply held them in your own wallet (a strategy known as “HODLing”).

This “loss” is described as impermanent because it’s an unrealized, on-paper loss. If the relative prices of the assets in the pool return to their original state when you deposited them, the loss disappears. However, if you withdraw your funds while there’s a price divergence, the loss becomes permanent. This tool is crucial for anyone participating in yield farming or liquidity provision. An impermanent loss calculator helps you quantify this specific risk before committing your capital.

The Impermanent Loss Formula and Explanation

The core calculation for impermanent loss relies on understanding how the value of your assets changes in the pool versus holding them. For a standard 50/50 pool, the most common formula calculates the loss ratio directly based on the change in the price ratio of the two assets.

The simplified formula is:

Impermanent Loss = (2 * √price_ratio) / (1 + price_ratio) - 1

Where price_ratio represents the divergence in price between the two assets from the time of deposit. Our impermanent loss calculator uses the underlying values to also show you the absolute dollar amounts, which provides a clearer picture.

Variable Explanations

Variable	Meaning	Unit	Typical Range
Initial Investment	The total starting capital in USD deposited into the pool.	Currency (USD)	$100 – $1,000,000+
Asset Price Change	The percentage change in the market price of an asset since deposit.	Percentage (%)	-99% to +1000%+
HODL Value	The total market value of your assets if you had just held them.	Currency (USD)	Dependent on price change.
LP Value	The total market value of your share within the liquidity pool.	Currency (USD)	Dependent on price change and the AMM formula.

Practical Examples

Understanding the concept is easier with examples. Let’s explore two common scenarios using our impermanent loss calculator.

Example 1: One Asset Rises Significantly

Imagine you provide liquidity to an ETH/USDC pool. You deposit $1,000 total ($500 of ETH, $500 of USDC).

• Inputs:
  • Initial Investment: $1,000
  • Asset A (ETH) Price Change: +100% (ETH price doubles)
  • Asset B (USDC) Price Change: 0%
• Results:
  • Value if Held (HODL): $1,500 ($1000 of ETH + $500 of USDC)
  • Value in LP: ~$1,414
  • Impermanent Loss: -5.7%

In this scenario, by providing liquidity, your position is worth $86 less than if you had simply held the ETH and USDC. This is the opportunity cost, or impermanent loss. You can compare this to a staking vs providing liquidity analysis to see which strategy yields better returns.

Example 2: Both Assets Change Price Differently

Let’s say you’re in a more exotic WBTC/ETH pool with an initial $20,000 investment.

• Inputs:
  • Initial Investment: $20,000
  • Asset A (WBTC) Price Change: +20%
  • Asset B (ETH) Price Change: +50%
• Results:
  • Value if Held (HODL): $27,000 ($12,000 of WBTC + $15,000 of ETH)
  • Value in LP: ~$26,832
  • Impermanent Loss: -0.62%

Even though both assets increased in value, the difference in their growth rate created a small impermanent loss. The HODL vs LP debate often centers on whether trading fees can outperform this loss.

How to Use This Impermanent Loss Calculator

Using this tool is straightforward. Follow these steps to estimate your potential impermanent loss:

1. Enter Initial Investment: Input the total value, in USD, of the assets you plan to deposit into the 50/50 liquidity pool.
2. Input Asset A Price Change (%): Enter the expected percentage price change for the first asset. For example, for a 50% gain, enter `50`. For a 10% loss, enter `-10`.
3. Input Asset B Price Change (%): Do the same for the second asset in the pair. If you are pairing with a stablecoin like USDC, this value will typically be `0`.
4. Analyze the Results: The calculator will instantly update. The main “Impermanent Loss” percentage shows your opportunity cost. The intermediate values provide the context, comparing the “Value in LP” to the “Value if Held.”
5. Consult the Chart: The chart visualizes the impermanent loss curve. It helps you understand that the loss grows exponentially as the price ratio between the assets diverges.

Key Factors That Affect Impermanent Loss

Several factors can influence the magnitude of your impermanent loss. Being aware of them is key to managing your liquidity positions effectively.

• Asset Volatility: This is the single most significant factor. The more volatile the assets in the pool are relative to each other, the higher the potential for impermanent loss.
• Asset Correlation: Providing liquidity for two assets that have a high positive correlation (they tend to move in the same direction) will generally result in less impermanent loss. Pools with a stablecoin paired against a volatile asset are highly susceptible.
• Trading Fees: The fees you earn from trades occurring in the pool are your compensation for taking on the risk of impermanent loss. If fee income is higher than the impermanent loss, you will have a net profit. A good DeFi ROI calculator will factor in these fees.
• Pool Weighting: While this calculator focuses on 50/50 pools, some protocols (like Balancer) allow for different weightings (e.g., 80/20). Different weights change the impermanent loss calculation and risk profile.
• Time in Pool: The longer you provide liquidity, the more time you have to accumulate trading fees, which can help offset any impermanent loss incurred.
• Market Conditions: Broad market trends can impact IL. In a strong bull market, even with IL, your LP position may be very profitable in absolute dollar terms, but you still underperform HODLing.

Frequently Asked Questions (FAQ)

What is impermanent loss in simple terms?

It’s the difference in value that occurs when you provide crypto to a liquidity pool, and the price of those assets changes compared to what they would be worth if you had just held them in your wallet.

Is impermanent loss a real loss of money?

It is an opportunity cost, not necessarily a direct loss of your initial capital. Your investment might still go up in value, but it would have gone up *more* if you didn’t provide liquidity. However, if prices drop, it can compound your losses compared to just holding.

Can impermanent loss be positive?

No. By its mathematical definition, impermanent loss is always a negative value or zero. It represents a “loss” relative to the optimal holding strategy. The profit from your LP position comes from trading fees, not from the IL itself.

Does this impermanent loss calculator include trading fees?

No, this calculator isolates the effect of impermanent loss only. To determine your overall profit or loss, you must subtract your impermanent loss from the trading fees you’ve accrued.

How can I avoid impermanent loss?

The only way to completely avoid it is to not provide liquidity. However, you can mitigate it by choosing asset pairs with lower volatility and high correlation (e.g., stablecoin pairs like USDC/DAI) or by providing liquidity on platforms that offer protection mechanisms.

Why is it called “impermanent”?

Because the loss is only theoretical until you withdraw your funds. If the prices of the assets return to the same ratio they were at when you deposited, the loss effect is reversed and becomes zero.

Which liquidity pools have the highest impermanent loss risk?

Pools containing highly volatile and non-correlated assets carry the highest risk. For example, pairing a new, speculative meme coin with a stablecoin would be extremely risky from an impermanent loss perspective.

Does a uniswap calculator for impermanent loss work for other exchanges?

Yes, the mathematical principle of the impermanent loss calculator is the same for any AMM that uses a standard constant product formula (x*y=k), which includes Uniswap V2, SushiSwap, and many others.

Related Tools and Internal Resources

Continue your DeFi journey with our other powerful calculators and in-depth guides:

• APR to APY Converter – Understand the true returns of your investments by accounting for compounding.
• What is Yield Farming? – A comprehensive guide to the strategies and risks of yield farming in DeFi.
• Uniswap V3 Guide – Learn about concentrated liquidity and how it changes the impermanent loss dynamic.
• Crypto ROI Calculator – Calculate the return on investment for any crypto purchase or trade.
• DeFi ROI Calculator – A specialized tool for calculating the profitability of various DeFi investments.
• Staking Calculator – Compare potential earnings from staking versus providing liquidity.