Uniswap Liquidity Pool Calculator
Optimize your V3 concentrated liquidity positions and manage risk.
$0.00
0.00%
1.00x
-0.00%
50% / 50%
Impermanent Loss Curve (V3)
Shows loss relative to holding vs price change
Position Sensitivity Table
| Price Change | Asset A Amount | Asset B Amount | Impermanent Loss |
|---|
What is a Uniswap Liquidity Pool Calculator?
A uniswap liquidity pool calculator is an essential tool for decentralized finance (DeFi) participants. Uniswap V3 introduced “Concentrated Liquidity,” allowing users to provide liquidity within specific price ranges rather than the full range from 0 to infinity. While this increases capital efficiency, it also complicates the math behind potential returns and risks.
Professional traders use a uniswap liquidity pool calculator to determine exactly how many tokens of each pair they need to deposit and to forecast their daily earnings based on trading volume. This tool helps you visualize the trade-off between tight ranges (high fees, high risk) and wide ranges (lower fees, lower risk).
Uniswap Liquidity Pool Calculator Formula and Mathematical Explanation
The core math of Uniswap V3 relies on the “Virtual Liquidity” formula. Unlike V2’s x * y = k, V3 uses a modified version:
(x + L / √Pb) * (y + L * √Pa) = L².
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| P (Current) | Current market price of Asset A in terms of Asset B | Ratio | Variable |
| Pa (Lower) | Lower price bound of the concentrated range | Ratio | 0.5P – 0.95P |
| Pb (Upper) | Upper price bound of the concentrated range | Ratio | 1.05P – 2P |
| L | Liquidity amount (Virtual) | Units | Position dependent |
| Fee Tier | Percentage taken from every trade | % | 0.01% – 1% |
Practical Examples (Real-World Use Cases)
Example 1: The Stablecoin Farmer
A user wants to use a uniswap liquidity pool calculator for a USDC/DAI pair. Since these are stablecoins, they set a very narrow range (e.g., 0.999 to 1.001). The calculator shows a concentration multiplier of over 1000x, meaning even with low volume, the fee generation is significant compared to a wide range.
Example 2: The ETH Bull
An investor provides ETH/USDC liquidity. ETH is at $2,000. They set a range of $1,800 to $2,500. The uniswap liquidity pool calculator predicts that if ETH hits $2,500, the position will be 100% USDC. If ETH drops to $1,800, it will be 100% ETH. This helps the investor understand their “buy low, sell high” automation.
How to Use This Uniswap Liquidity Pool Calculator
- Enter Prices: Input the current price and your desired range bounds.
- Set Capital: Enter your total USD value for the deposit.
- Select Fee Tier: Choose the fee level of the pool you are joining.
- Analyze Fees: Check the “Estimated Daily Fee Income” to see potential ROI.
- Review IL: Look at the Impermanent Loss chart to ensure you are comfortable with the downside risk if the price moves outside your range.
Key Factors That Affect Uniswap Liquidity Pool Calculator Results
- Price Volatility: Higher volatility increases fee income but also increases the risk of impermanent loss.
- Concentration: Tighter ranges result in much higher “virtual liquidity,” magnifying both rewards and risks.
- Volume to TVL Ratio: The most profitable pools have high trading volume relative to the Total Value Locked (TVL) within your chosen range.
- Fee Tier Selection: Choosing the wrong tier (e.g., 1% for stables) might result in zero volume as traders find cheaper routes.
- Impermanent Loss: In V3, IL is “accelerated” when price exits your range, as you are then holding 100% of the underperforming asset.
- Gas Costs: Especially on Ethereum Mainnet, the cost to open/close positions can negate days of fee earnings for smaller deposits.
Frequently Asked Questions (FAQ)
Does the Uniswap liquidity pool calculator include gas fees?
No, gas fees vary by network (Arbitrum, Polygon, Mainnet). You should subtract the estimated gas cost from your projected first-week earnings.
What happens if the price goes out of range?
If the price exceeds your upper or lower bound, your position becomes 100% of one asset and stops earning trading fees until the price returns to the range.
How is Impermanent Loss different in V3?
In V3, IL is more aggressive because your liquidity is concentrated. If you use a very narrow range, the IL happens much faster than in a V2-style 0-to-infinity pool.
Which fee tier should I choose for ETH/USDC?
Most uniswap liquidity pool calculator models suggest the 0.05% tier for major pairs, as that is where the majority of trading volume occurs.
Can I change my range after depositing?
No. To change a range, you must remove your liquidity, which returns your assets, and then create a new position with the new boundaries.
Is APR guaranteed?
Absolutely not. APR is an estimate based on historical or projected volume. Realized volume can fluctuate wildly day to day.
What is “Concentration Multiplier”?
It represents how much more efficient your capital is compared to a standard V2 pool. A 10x multiplier means $1,000 in V3 earns as much as $10,000 in V2.
How often should I harvest my fees?
This depends on gas costs. Many users wait until fees equal at least 5-10x the gas cost of the claim transaction.
Related Tools and Internal Resources
- Impermanent Loss Calculator – Deep dive into price divergence risks.
- V3 Liquidity Provider Tools – Advanced metrics for power users.
- Concentrated Liquidity Math – Technical guide on the Uniswap V3 whitepaper.
- Crypto Yield Farming ROI – Comparing liquidity pools to lending protocols.
- DEX Fees Guide – Comparison of fee structures across Uniswap, Curve, and PancakeSwap.
- Liquidity Pool Returns – Historical benchmarks for top-tier crypto pairs.