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DeFi Impermanent Loss & Liquidity Pool (AMM

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### Decentralized Finance: What is Impermanent Loss (IL)? In Automated Market Makers (AMMs) like Uniswap v2 and Curve, liquidity pools rebalance continuously along the **constant product curve ($x...

Reviewed by Noman Khan · MBA
Last updated:
Editorial Guidelines

⚙ Input Values

📊 Results

Primary Impermanent Loss & Net Yield Summary
Impermanent Loss: -2.02% (-$253) | Net LP vs HODL: +$306 (Fees: +$559)
Impermanent Loss Percentage (%)
-2.02% Impermanent Loss (relative to HODL)
Impermanent Loss in Dollar Value ($ vs. HODL)
-$253 (Loss vs. Holding outside pool)
Total Liquidity Pool Value (LP + Swap Fees in $)
$12,806 (Principal $12,247 + Fees $559)
Portfolio Value if Simply Held (HODL Benchmark in $)
$12,500 (Benchmark if held in wallet)
Accumulated Swap Trading Fees Earned ($)
+$559 (over 90 days at 18.5% APR)
Net LP Advantage vs. Pure HODL ($)
+$306 (LP Outperformed HODL)
✦ AMM Constant Product & Yield Farming Diagnostic
DeFi AMM Liquidity Analysis (x·y=k): With Token A price shifting +50.0% ($3,000 ➔ $4,500 | price ratio k = 1.500): Impermanent Loss is -2.02% (-$253). If you simply held the tokens (HODL), your portfolio would be worth $12,500. Inside the 50/50 AMM pool, your principal is worth $12,247. Over 90 days at 18.5% fee APR, you accumulated +$559 in swap fees, bringing Total LP Position Value to $12,806. Net result: Liquidity provision beat HODLing by +$306 because fee income exceeded impermanent loss.
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📐 Formula

Automated Market Maker (AMM) constant product & Impermanent Loss formulas: Ratio: k = P_futureP_initial Loss (Fraction): IL = 2 √(k)1 + k - 1 Loss (%) = |IL| × 100% Benchmark Value = Deposit2 × (1 + k) Value (Before Fees) = Deposit × √(k) Fees Earned = Pool Value × (Fee APR × Days365) LP Advantage vs HODL = (Pool Value + Fees) - HODL Value

💡 Practical Example

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For example, depositing $10,000 in an ETH/USDC 50/50 pool when ETH is $3,000.00, and ETH rises +50% to $4,500.00) with 18.5% fee APR over 90 days: \. Holding outside the pool (HODL) is worth \. Pool principal is \. Accumulated swap fees earn +$558.46, delivering a Total Pool Value of $12,805.91.

📖 About DeFi Impermanent Loss & Liquidity Pool (AMM

Decentralized Finance: What is Impermanent Loss (IL)?

In Automated Market Makers (AMMs) like Uniswap v2 and Curve, liquidity pools rebalance continuously along the constant product curve.

Why Impermanent Loss Occurs

When the market price of one asset rises relative to another, arbitrageurs buy the appreciating token from the pool at a discount and sell it on external exchanges, leaving liquidity providers with more of the depreciating token and less of the appreciating token compared to simply holding both assets in a private wallet.

How to Use This Calculator

Enter your Initial Price of Token A () (e.g. 3000.0 (e.g. ETH price at deposit)), Future / Current Price of Token A () (e.g. 4500.0 (e.g. +50% price increase)), Total Initial Liquidity Pool Deposit ( in 50/50 Pool) (e.g. 10000 (5k Token A + 5k Token B)), Estimated Pool Trading Fee APY / APR (%) (e.g. 18.5 (Uniswap swap fees + liquidity rewards)), and Liquidity Provision Duration (Days) (e.g. 90). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Automated Market Maker (AMM) constant product & Impermanent Loss formulas: Ratio: k = P_futureP_initial Loss (Fraction): IL = (2 √(k)) / (1 + k) - 1 Loss (\%) = |IL| × 100\% Benchmark Value = (Deposit) / (2) × (1 + k) Value (Before Fees) = Deposit × √(k) Fees Earned = Pool Value × (Fee APR × (Days) / (365)) LP Advantage vs HODL = (Pool Value + Fees) - HODL Value

Worked Example

For example, depositing 10,000 in an ETH/USDC 50/50 pool when ETH is 3,000.00, and ETH rises +50% to 4,500.00) with 18.5% fee APR over 90 days: . Holding outside the pool (HODL) is worth . Pool principal is . Accumulated swap fees earn +558.46, delivering a Total Pool Value of 12,805.91.

Understanding Your Result

For financial decisions, validate your result against your specific tax situation, current interest rate environment, and applicable regulations — these change frequently and vary by jurisdiction. A calculated estimate is a useful starting point; for decisions involving significant capital (more than one month's income), consult a certified financial planner (CFP) or CPA. Financial projections beyond 3–5 years carry increasing uncertainty — model a conservative, base, and optimistic scenario to understand the range of outcomes.

💡 Financial Planning: Expert Principles & Risk Awareness

  • All calculations assume fixed rates and idealized conditions. Real-world results vary due to market volatility, inflation, fees, and taxes.
  • The Consumer Financial Protection Bureau (CFPB) recommends consulting a certified financial planner (CFP) for decisions involving significant sums.
  • Run at least three scenarios: optimistic, pessimistic, and most-likely — to understand the full range of potential outcomes before committing.
  • Inflation averages 2–3% annually in the US (Federal Reserve target). Long-term projections that ignore inflation significantly overstate future purchasing power.
  • Tax treatment varies widely by account type (IRA, 401k, brokerage), jurisdiction, and income level. Verify tax implications with a CPA before acting.
  • Compound interest works for you in savings/investments and against you in debt. The difference of even 1% in rate, sustained over decades, is enormous.
  • Emergency funds (3–6 months of expenses) should be established before optimizing for returns — financial security precedes financial growth.
  • Financial projections older than 12 months should be recalculated. Interest rates, tax brackets, and market conditions shift materially year to year.
Sources: CFPB Financial Tools · IRS Tax Information · Federal Reserve Data

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is Impermanent Loss in DeFi?
Impermanent Loss is the temporary difference in portfolio value between providing liquidity in an AMM pool versus simply holding the same assets in your private wallet.

Why is it called 'impermanent' loss?
Because the loss is only realized upon withdrawing your liquidity from the pool; if the price ratio between the two assets returns to its initial deposit ratio, the impermanent loss reduces back to 0%.

How much is Impermanent Loss for a 2x price increase?
A 2x (100%) price change in one asset causes an impermanent loss of exactly 5.72% relative to holding.

How do liquidity providers profit despite Impermanent Loss?
Liquidity providers earn trading fees (typically 0.30% per trade) and governance token yield farming rewards that often outweigh the impermanent loss.

Do stablecoin pairs suffer from Impermanent Loss?
Virtually zero. Because both stablecoins remain pegged to $1.00 (price ratio k ≈ 1.0), impermanent loss is negligible, making stable pools ideal for conservative fee yields.

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