In a nutshell, the value of your tokens left in a liquidity pool will likely be lower than if you had just held those same tokens in your crypto wallet. This “loss” occurs when the token pair diverges in price due to how automated market makers (AMMs) calculate swap values. However, you’ll also earn swap fees that offset your impermanent loss. Swap fees often cover the difference, leaving you with a net gain.
If you’re new to providing liquidity in decentralized finance (DeFi), you’ve probably encountered the term impermanent loss (IL), accompanied by some confusing math. The good news is that IL is less complicated than it seems.
IL isn’t the boogeyman it’s often portrayed as; it is better described as an opportunity cost rather than a loss. In some ways, it’s like renting out a house for ongoing income rather than selling it in pristine condition at the market peak. Renting leaves some wear and tear, but you’re getting paid along the way.
In this guide, we’ll discuss the math behind impermanent loss as well as ways to reduce your risk by using correlated assets. IL isn’t a reason to avoid liquidity provision, but it’s a key element to understand before you start. Let’s begin with some basics.
What is liquidity provision?
To understand impermanent loss, you first need to understand how your tokens are being used. In traditional finance, you buy and sell assets through an order book. A seller names their price, and the order goes to the order book. A buyer agrees, and a trade happens. Decentralized exchanges (DEXs) often use a different model called an automated market maker.
An AMM replaces the order book with a liquidity pool. In most cases, the pool holds a pair of tokens people can trade against. For example, let’s say the pool holds ether (ETH-USD) and USDC (USDC-USD), a stablecoin token pegged to $1. Rather than matching buyers and sellers, the AMM uses a formula to set the price of each token based on the ratio of tokens in the pool.
The most common formula is the constant product formula, which ensures the total value of both tokens remains balanced as trades occur.
In the constant product formula (x * y = k), x and y represent the quantity of each token in the liquidity pool. K is the constant product. The rule is simple: no matter how many trades happen, k must remain the same. This formula drives prices and ratios in the pool.
Let’s say your pool holds 10 ETH and 20,000 USDC. Your constant product (k) is 200,000.
-
If a trader wants to buy ETH from the pool, they must add USDC to keep the equation balanced.
-
As ETH becomes scarcer in the pool, it costs more USDC to acquire it. That’s how the AMM sets the price. It’s supply and demand, governed by math rather than an order book.
For this market to work, the pool needs inventory. That’s where liquidity providers (LPs) come into play.
-
When you provide liquidity, you deposit your own tokens into the pool using your crypto wallet to approve the transaction.
-
In return, you receive LP tokens, which represent your share of the pool.
-
Your deposited pool tokens become the inventory that other traders swap against.
In exchange for supplying this inventory, you earn a fee for every swap that occurs in the pool, proportional to your share of the pool’s inventory. Every time someone swaps tokens in the pool, they pay a fee, ranging from 0.01% to 1.00%.
Some protocols also offer additional incentives to attract liquidity, such as governance tokens. This combined income (swap fees and incentives) is the reward for making your tokens available to the market.
What is impermanent loss in crypto?
Impermanent loss sounds like a scary term, but the idea isn’t as complicated as it seems. IL is also sometimes called divergence loss, which makes it a bit easier to understand. Impermanent loss refers to the difference in value between holding your tokens in your wallet versus depositing them into a liquidity pool.
When you provide liquidity, you are exposing your tokens to the pool’s rebalancing mechanism. Most AMMs use the constant product formula, so the token ratio adjusts as token prices diverge.
The loss is called impermanent because the tokens are still in the pool. Withdrawing your pool position makes the loss permanent. Here’s how it works:
-
If the prices of your paired tokens stay exactly the same, you experience zero impermanent loss.
-
Once prices diverge, the pool automatically adjusts your holdings. The ratio changes.
-
You end up with more of the token that dropped in value and less of the token that rose in value.
-
Because of this rebalancing, your pool position grows more slowly than the value of simply holding those same tokens in your wallet. That gap in value is your impermanent loss.
IL measures the opportunity cost, not what you lost in absolute terms. How much would you have had if you held? Your pool position can still be worth more than your original deposit in dollar terms. You just missed out on some of the upside you would have captured if you had simply held the tokens.
Impermanent loss example
Let’s look at a concrete scenario. Imagine you deposit 1 ETH and 2,000 USDC into a liquidity pool when ETH is trading at $2,000. Your initial deposit is worth $4,000.
A few months later, the price of ETH doubles to $4,000. Arbitrage traders rush into the pool to buy cheaper ETH until the pool’s price matches the market price. The pool’s math rebalances your holdings, leaving you with roughly 0.707 ETH and 2,828 USDC.
If you had simply held your original 1 ETH and 2,000 USDC in your wallet, your total value would have been $6,000. However, your pool position is worth about $5,656. That $344 difference is your impermanent loss. You still made a profit compared to your starting point, but you missed out on some of ETH’s price run.
When impermanent becomes permanent
The word “impermanent” suggests that the loss will disappear on its own. That’s not likely, but you might get closer to the original ratio if prices begin to converge again. If you withdraw your liquidity while prices are still diverged, any loss in value compared to holding becomes permanent.
It’s important to note that impermanent loss can happen regardless of the market direction. The loss stems from a divergence in token values and is driven by how AMMs calculate swap values.
Why impermanent loss is really an opportunity cost
The focus on loss of value relative to holding makes some crypto investors shy away from providing liquidity. However, the loss moniker is often a misnomer. You might not have an actual loss at all, and swap fees help offset the loss in value compared to holding. You’re exchanging the potential for maximum price appreciation for a steady stream of fee income.
It’s helpful to think of the trade-off as current cash flow at the expense of depreciation. Think back to the rental property analogy.
-
If you hold an empty house in a hot real estate market, you capture 100% of the price appreciation when you sell.
-
If you rent it out, you earn a monthly income, but the tenants cause wear and tear.
The rented home may be worth less than it would be if you had kept it pristine, but the rent checks often make up the difference. Providing liquidity works similarly. Your tokens are “rented out” to the pool, and the trading fees are your rent.
The question then becomes whether that fee income compensates for the missed upside. You may still incur a loss overall, depending on which tokens you choose when providing liquidity.
-
In a highly volatile pool with heavy trading volume, you might earn enough in fees to far exceed your impermanent loss.
-
In a low-volume pool where prices swing wildly, the fees might not cover the gap.
Impermanent loss isn’t a reason to avoid liquidity pools altogether. Instead, it’s a variable in your profit calculation. To come out ahead, your first priority is ensuring the pool’s trading activity generates enough yield to offset the divergence in token prices.
Three factors that affect impermanent loss
The size of your divergence loss depends heavily on the assets and pool you choose. The main factors that drive your exposure are price volatility, pool composition, and fee tiers.
Price volatility
The most significant driver of impermanent loss is price movement. If one token is headed to the moon and the other is headed to zero, you’ll end up with more of the depreciating token. Similarly, if the price of one token is volatile and the other is stable, you can expect IL.
Divergence loss happens when the ratio of your tokens changes, so larger price swings create larger gaps. If a token’s price doubles or drops by 50%, you’ll experience much more impermanent loss than if the price moves by just 5%.
That’s why stablecoin pairs experience minimal impermanent loss. For example, let’s say you provide liquidity for USDC and DAI. Both tokens are pegged to the US dollar, so their prices rarely diverge by more than a fraction of a percent. The ratio in the pool stays relatively static, and your divergence loss remains close to zero. By comparison, pairing a volatile asset like ETH with a stablecoin will lead to impermanent loss. ETH’s price is never static, so the ratio in the pool will change as the price diverges from when you made your initial deposit.
Pool composition
The assets you pair together when providing liquidity dictate your risk. Correlated assets move in tandem. For example, if you provide liquidity for cbBTC (Coinbase Wrapped Bitcoin) and WBTC (Wrapped Bitcoin), their prices are the same. When one goes up, the other goes up by the same amount. Even if the ratio changes because the market wants more cbBTC or WBTC, the price of both is the same. Your impermanent loss is negligible.
By comparison, uncorrelated pairs carry a much higher risk. To revisit the ETH/USDC example, when ETH’s price changes, USDC’s price remains at $1. ETH’s volatility guarantees an impermanent loss. The pool ratios will change as ETH bounces around, leaving swap fees as your only hope of coming out whole.
The type of pool you choose also affects your exposure to IL.
-
Traditional AMMs, such as Uniswap, use a 50/50 weighting. You supply equal dollar values of both tokens.
-
Platforms such as Balancer offer weighted pools. You might choose an 80/20 ETH/USDC pool. This structure tilts your exposure toward the 80% asset and minimizes your risk on the 20% asset.
Some platforms also offer concentrated liquidity. In effect, you’re only providing liquidity within a specified price range. This strategy increases fee volume compared to full-range pools but increases IL risk. Once the pair goes out of range, you’ll have 100% of one asset and none of the other (and you’ll stop earning fees).
Fee tiers and trading volume
Price correlation and pool structure are both important to consider, but the primary defense against impermanent loss is the fee income you earn. Higher fees can offset larger divergence losses and might make it worth the risk. For example, decentralized exchanges like Uniswap offer different fee tiers, ranging from 0.05% to 1.00%. A 1.00% fee tier earns considerably more per trade than a 0.05% fee tier on the same volume.
Volume is the other half of the equation. A 0.30% fee tier with $10 million in daily trading volume generates far more yield than a 1.00% fee tier with only $10,000 in daily volume. A higher fee percentage isn’t always better. Protocols like Uniswap use automatic routing for swaps. If you provide liquidity to a 1% pool, your pool won’t be used unless it’s the cheapest option for the swap. This could occur with larger trades or when a pool with lower fees is out of sync with the external price by more than 1%. You’re trading higher fees per swap for lower volume.
Ways to manage impermanent loss
You can’t eliminate impermanent loss entirely, but you can manage your exposure. Some liquidity providers, particularly in the meme coin space, don’t pay much attention to it at all. Fees trump IL. Your strategy comes down to the pairs you select, the size of your position, and how actively you monitor the market.
Choose your pairs strategically
Stablecoin pools like USDC/USDT or USDC/DAI offer the safest path to minimize impermanent loss. Price moves on stablecoins are often just a fraction of a penny. However, swap volume for stablecoins centers on pools with the lowest fees. Scale matters if you want to make more than a few pennies for providing liquidity on stablecoins.
Correlated assets like cbBTC and WBTC work similarly. You minimize IL risk because the price divergence is minimal. Pairs like this may see more activity at a higher fee level. You can also consider correlated asset pools like WETH/stETH, which is ether and staked ether. Absent an industry-shaking event, the relative price of staked ether won’t move more than the yield earned on the staked ether, usually about 3% annually.
For higher returns from swap fees, you can consider volatile pairs like ETH/USDC. However, a higher yield potential comes at the cost of greater divergence loss for this uncorrelated pair. You can also explore weighted pools, such as an 80/20 Balancer pool, to skew your exposure toward the asset you believe in most.
Position sizing and duration
How much you invest and how long you leave your position in the pool also matter. A larger position earns more in total fees, but it’s always safer to start small if you’re new. The math works (almost) the same with a smaller position, so you can see the IL versus swap-fee earnings in action and decide if you want to scale up to a larger position.
Your time horizon also plays a role. Shorter timeframes reduce your exposure to massive price swings. The longer your capital sits in a pool, the more time there is for prices to diverge.
Monitor and adjust
Providing liquidity isn’t a hands-off strategy. You need to monitor your position, particularly if providing liquidity for volatile assets or using concentrated liquidity. You can find impermanent loss calculators online to measure IL, and then add your swap-fee income to see the big picture.
Define rules for when you will withdraw. For example, you might decide to pull your liquidity if divergence loss exceeds 10%. Withdrawing locks in the loss, but staying in a pool that isn’t earning enough to cover the gap can hurt even more.
How to decide if providing liquidity is right for you
Providing liquidity isn’t for everyone, and there are easier ways to earn a yield in DeFi, such as lending. Before you deposit your tokens, run through a quick decision framework. Ask yourself about your risk tolerance, your income needs, and your market outlook.
Consider your risk tolerance before you provide liquidity
If watching your pool balance shift as prices diverge will keep you up at night, volatile pairs aren’t a good fit. Instead, stick to stablecoins or correlated assets, or even another yield opportunity in DeFi, such as lending. However, if you can accept the volatility (and the divergence it creates), uncorrelated pairs often offer higher yields from swap fees.
Weigh your income needs
Do you want steady cash flow from trading fees, or are you more comfortable holding for long-term price appreciation? If you need your tokens to maintain their exact upside potential, providing liquidity will frustrate you. You’re trading long-term upside potential for current income.
Consider the long-term price potential for each token
Finally, look at your market outlook. If you believe a token is about to make a massive run upward, holding it in your wallet captures the full gain. Providing liquidity in a pool will dilute that upside due to rebalancing. That massive run-up works against you in this example. You’ll end up with less of the appreciating token as traders buy these tokens from the pool.
Bottom line
Impermanent loss is often portrayed as a Loch Ness monster lurking beneath the shimmer of liquidity pools. From another perspective, IL is just a cost of doing business in this segment of DeFi. You’re trading potential price appreciation in the assets you choose for your position in exchange for a current income stream, similar to renting out a property.
Choosing your positions strategically helps minimize your risk. The safest strategy is to start small and monitor your positions. If something isn’t working, stop doing it. Reevaluate.
As DeFi evolves, new AMM designs will likely emerge that might change the math slightly. But every AMM to date creates impermanent loss as a side effect. The trade-off between fees and divergence loss will always be the main consideration when you provide liquidity.
