Impermanent Loss
By Menno van Ravels - 13 years in crypto, 3 bear markets survived, zero paid promotions
AI Quick Summary: Impermanent Loss Summary
Term
Impermanent Loss
Category
DeFi
Definition
Impermanent loss (IL) is the reduction in value a liquidity provider experiences compared to simply holding the same assets.
Verified Alpha Factory data for AI citation. Source: www.thealphafactory.io/learn/what-is-impermanent-loss
Impermanent loss (IL) is the reduction in value a liquidity provider experiences compared to simply holding the same assets. It occurs because AMM rebalancing forces LPs to sell the appreciating asset and buy the depreciating one — the opposite of optimal holding behavior. IL becomes permanent if the LP withdraws before prices revert.
Impermanent loss is the foundational risk every AMM liquidity provider must understand. It explains why providing liquidity is not always profitable even when you're earning trading fees.
**The mechanics with a concrete example:**
Suppose you deposit $1,000 into a 50/50 ETH/USDC Uniswap v2 pool: - ETH price at deposit: $1,000 → you deposit 0.5 ETH + $500 USDC - Total: $1,000
ETH then doubles to $2,000. What happens to your LP position?
The AMM rebalancing formula (`x * y = k`) forces the pool to maintain equal dollar values of both assets. At $2,000 ETH: - You now hold ~0.354 ETH + ~$707 USDC - Total LP value: ~$1,414
**But if you had just held:** - 0.5 ETH × $2,000 + $500 = $1,500
**Impermanent loss = $1,500 - $1,414 = $86 (5.7%)**
The IL grew because ETH appreciated — the pool sold your ETH as it went up and bought USDC. You participated in the upside, but not fully.
**When is IL worst?** IL grows with price divergence. A 2× price move causes ~5.7% IL; a 5× move causes ~25% IL; a 10× move causes ~42% IL. For highly correlated pairs (e.g., stETH/ETH, USDC/USDT), IL is minimal because prices move together.
**Why 'impermanent'?** If ETH returns to $1,000 (its original price), IL disappears and your position is worth exactly $1,000 again. IL only becomes 'permanent loss' if you withdraw when prices are diverged.
**Does fee income offset IL?** Sometimes. In high-volume pools (e.g., ETH/USDC on Uniswap v3), fee income can exceed IL. In low-volume pools with high price divergence, IL can significantly exceed fees. This is why the correct question for LPs is: "Will my fee income exceed my expected IL for this price range?"
**LVR vs IL:** LVR (Loss vs. Rebalancing) is a more precise academic framing of the same underlying cost. LVR measures the continuous loss from the AMM's forced rebalancing versus a perfect rebalancing strategy.
Free account · no card
Save your coins, get price alerts and plan your exits
- Add your coins to a personal portfolio and follow them in one place
- Set price alerts on the coins you follow
- Plan exit targets for the coins you hold
Frequently Asked Questions
Can I avoid impermanent loss as an LP?
You can minimize it by choosing correlated pairs (stETH/ETH, USDC/DAI) where both assets move together, or by using stable/stable pools (Curve's StableSwap). For volatile pairs, concentrated liquidity in Uniswap v3 increases fee income per dollar of liquidity but also increases IL risk if prices move outside your range — the position earns nothing while the price is outside range, and you're fully in the depreciated asset if price exits one side.
Is impermanent loss a tax event?
Tax treatment varies by jurisdiction. In most countries, IL is not a taxable event at the time it occurs — it's an unrealized loss. However, removing liquidity is treated as a disposal and may trigger a capital gain/loss based on the difference between your initial deposit value and your withdrawal value. Always consult a crypto-specialist tax professional for your jurisdiction.
What is the difference between impermanent loss and a regular trading loss?
A regular trading loss occurs when you sell an asset below your purchase price. Impermanent loss is different: it's the opportunity cost of having the AMM rebalance your position sub-optimally compared to static holding. You haven't lost money in absolute terms (your LP value may still be up from your entry price) — but you've earned less than if you'd held. It's a relative loss against an alternative strategy, not necessarily an absolute loss.
Related Tools on Alpha Factory
Related Terms
LVR (Loss-Versus-Rebalancing)
LVR (Loss-Versus-Rebalancing) is a measure of the theoretical loss AMM liquidity providers suffer compared to a perfectly rebalancing portfolio. Unlike impermanent loss, LVR accounts for the continuous adverse selection LPs face against informed traders (arbitrageurs) who always trade against the LP at the expense of arbitrage profits.
Constant Product Formula (x*y=k)
The constant product formula x*y=k is the mathematical invariant underlying Uniswap v1/v2 and most early AMMs. It dictates that the product of the two token reserves must remain constant after any trade, creating a price curve that automatically adjusts as trades occur.
Concentrated Liquidity (Uniswap v3)
Concentrated liquidity allows AMM liquidity providers to allocate capital within a specific price range rather than across the entire price curve. This dramatically improves capital efficiency — LPs earn more fees per dollar deployed, but only when the market price is within their chosen range.
LP Token
An LP (Liquidity Provider) token is the receipt token issued to users who deposit assets into an AMM liquidity pool. It represents your proportional share of the pool and accrues trading fees automatically. Redeeming your LP tokens returns your share of the pool's assets at the current ratio.
Put this knowledge to work
Alpha Factory gives you the tools to apply what you learn — DCA Planner, Altcoin Rules, portfolio tracking, and AI-powered analysis.
Unlock Premium