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What Is Impermanent Loss?

Impermanent loss is the gap between what your tokens would be worth if you simply held them versus what they are worth after sitting in a liquidity pool. It is one of the most misunderstood risks in DeFi, so let's break it down with plain math and a concrete example.

What impermanent loss actually means

Impermanent loss (IL) is the difference in value between two choices: depositing two tokens into a liquidity pool versus just keeping those same tokens in your wallet. When the price ratio of the two tokens changes after you deposit, the pool rebalances your holdings automatically, and you can end up with less total value than if you had done nothing.

It is called "impermanent" because the loss only becomes real when you withdraw. If prices drift back to where they started, the gap can shrink or disappear. But if you withdraw while prices are far apart, the loss is locked in and very much permanent.

To understand IL, you first need to understand how a basic DeFi liquidity pool works. Most decentralized exchanges use an automated market maker (AMM) running on smart contracts. A common design keeps the product of the two token balances constant (the "x times y equals k" formula). When traders buy one token from the pool, its balance drops and the other rises, keeping the math balanced. You, as a liquidity provider, own a share of whatever is in the pool at any moment.

Why providing liquidity can underperform holding

Here is the core problem. When one token in your pair rises sharply in price, arbitrage traders buy it out of the pool until the pool's price matches the open market. That means the pool sells your appreciating token cheaply and leaves you holding more of the token that did not move. You captured less of the upside than a simple holder did.

So the real question is never "IL or no IL." It is whether the fees (and any reward incentives) you collect outweigh the loss from price divergence over your holding period.

The simple math

For a standard 50/50 pool, impermanent loss depends only on the price ratio change between the two tokens, not on the absolute prices. If one token's price changes by a factor r relative to the other, the loss versus holding can be approximated by a fixed schedule. The table below shows the well-known reference figures.

Price change of one token vs the otherImpermanent loss vs holding
1.25x (+25%)about 0.6%
1.5x (+50%)about 2.0%
2x (+100%)about 5.7%
3x (+200%)about 13.4%
4x (+300%)about 20.0%
5x (+400%)about 25.5%

Notice that the loss is symmetric: a token falling to half its relative price produces the same percentage IL as it doubling. Notice also that small price moves cause almost no IL, while large moves bite hard. This is why stablecoin pairs (whose prices barely diverge) carry very little impermanent loss, while volatile pairs carry a lot.

A worked example

Example
You deposit into an ETH/USDC pool. At deposit, ETH = $2,000. You add 1 ETH and 2,000 USDC, a total of $4,000. The pool needs equal value on each side, so your share reflects that 50/50 split.
  1. ETH rises to $4,000. Arbitrageurs rebalance the pool. Because of the constant-product math, your share now holds roughly 0.707 ETH and about 2,828 USDC.
  2. Value in the pool: 0.707 x $4,000 + 2,828 = about $5,656.
  3. Value if you had just held: 1 ETH x $4,000 + 2,000 USDC = $6,000.
  4. Impermanent loss: $6,000 - $5,656 = about $344, or roughly 5.7% — exactly the 2x row in the table above.
That $344 gap is your impermanent loss. If the pool's trading fees over the same period earned you more than $344, you still came out ahead. If not, holding would have been the better choice.

The example uses crypto-style volatile assets to make the effect visible. Plug in a stablecoin pair where neither side moves much and the loss shrinks toward zero.

When impermanent loss matters (and when it doesn't)

IL is not always a dealbreaker. Whether it matters depends on the pair you choose and how long you stay in.

ScenarioImpermanent loss risk
Stablecoin / stablecoin (e.g. USDC/DAI)Very low — prices barely diverge
Correlated assets (e.g. ETH and an ETH derivative)Low to moderate
Volatile / stablecoin (e.g. ETH/USDC)High — one side can move a lot
Two unrelated volatile altcoinsVery high — independent price swings

Beyond the math, keep these practical points in mind:

Some platforms advertise "no IL" or one-sided liquidity options. These typically shift the risk elsewhere (to the protocol, to a counterparty, or into lockups) rather than removing it. Read the mechanism carefully and never assume a higher advertised yield is free of trade-offs.

Key takeaways

Providing liquidity can be a reasonable way to earn yield, but it is not the passive, risk-free income it is sometimes made out to be. Understand the pair, model the fees against likely divergence, and size your position conservatively. This article is educational and is not investment advice; do your own research and only commit funds you can afford to lose.

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