Web3 Liquidity Mining & Impermanent Loss Suite
Calculate AMM impermanent loss, concentrated liquidity range multipliers, and compounding yield returns.
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View Master Tools IndexUnderstanding AMM Liquidity Mining, Concentrated Ranges & Impermanent Loss
Automated Market Makers (AMMs) like Uniswap, Sushiswap, and PancakeSwap enable decentralized asset trading through user-funded liquidity pools. Liquidity providers (LPs) deposit pairs of tokens to earn a proportional share of trading fees and yield farming rewards. However, providing liquidity carries unique financial mechanics, most notably Impermanent Loss (IL).
Impermanent loss occurs when the price ratio of deposited assets diverges from the ratio at the time of entry. With modern concentrated liquidity protocol architectures (like Uniswap v3 and Trader Joe), LPs can bind liquidity to narrow price ticks to achieve massive capital efficiency, but out-of-range market moves can compound impermanent loss exposure.
Step-by-Step Guide: How to Use the Suite
- Impermanent Loss Engine: Enter initial LP capital, percentage price movements for both paired tokens, and total earned swap fees to compute exact impermanent loss and net LP portfolio value versus holding.
- Concentrated Liquidity Simulator: Set lower and upper price bounds alongside current spot prices to measure your position's capital efficiency multiplier and active range status.
- Farm APY Compound Engine: Input base trading fee APR, farm token reward APR, and compound frequencies (daily, weekly, monthly) to compute true compounded APY and projected 1-year harvests.
Key Concepts & Mathematical Principles
The Constant Product Formula & Impermanent Loss
Traditional AMMs rely on the constant product formula ($x \cdot y = k$). As external market prices shift, arbitrageurs rebalance the pool, leaving LPs with more of the depreciating asset and less of the appreciating asset. The net dollar loss compared to holding both assets outside the pool is calculated as:
IL = [ 2 · √(P_ratio) / (1 + P_ratio) ] - 1
Concentrated Liquidity & Capital Multipliers
Concentrated liquidity allows LPs to allocate capital within specific price ranges ($[P_a, P_b]$). Narrowing the price range dramatically increases fee yield per dollar deposited—providing up to 100x+ capital efficiency—but halts trading fee collection if the market price strays outside the designated bounds.
Frequently Asked Questions (FAQ)
Q1: Is impermanent loss permanent?
Impermanent loss only becomes permanent when you withdraw your liquidity from the pool. If the price ratio returns to its exact entry point before withdrawal, the loss disappears entirely.
Q2: Why does auto-compounding daily increase yield farming returns?
Auto-compounding harvests reward tokens and reinvests them into principal liquidity, compounding interest periodically over 365 days to convert nominal APR into higher effective APY.
Q3: Is this calculation tool secure and browser-based?
Yes. All formulas execute 100% locally in your web browser via JavaScript. No server calls, wallet connections, or personal data requests are ever made.
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