What is impermanent loss?

Impermanent loss is the gap between what your liquidity position is worth and what the same assets would be worth if you had simply held them in your wallet. It is the fundamental cost of being a liquidity provider in an automated market maker, it shows up whenever the two pooled assets change price relative to each other, and it is routinely misunderstood in both directions: newcomers ignore it, and cynics treat it as theft. It is neither invisible nor sinister. It is arithmetic, and it fits in one example.

One clean example

Take a classic 50/50 pool, ETH against a dollar stablecoin like USDG, and hypothetical round numbers: ETH trades at $2,000.

You deposit 1 ETH plus 2,000 USDG, a position worth $4,000, split evenly between the two assets. The pool holds the product of its balances constant: whatever trades happen, ETH balance times USDG balance stays fixed.

Now ETH doubles to $4,000. The pool does not know that; arbitrage traders tell it, by buying ETH from the pool while the pool still sells it cheaper than the open market. They keep buying until the pool's price matches $4,000, and every one of those trades removes ETH from the pool and adds stablecoin.

Run the constant-product math on your share, and your position has become approximately 0.7071 ETH and 2,828 USDG. Value it at the new price:

• Your LP position: 0.7071 ETH at $4,000 is $2,828, plus 2,828 USDG, totaling about $5,657.
• If you had just held: 1 ETH at $4,000 is $4,000, plus your original 2,000 USDG, totaling $6,000.

The position gained money; $4,000 became $5,657. But holding would have reached $6,000. The shortfall is about $343, or roughly 5.7% of the holding value. That 5.7% is the impermanent loss for a clean doubling, before counting any fees the position earned.

Why the pool trails holding

Nothing leaked. The mechanism is that the pool sold your winner on the way up. Every arbitrage trade that lifted the pool's price to $4,000 did so by taking ETH out of the pool at prices between $2,000 and $4,000, all of them below the final price. Your share of the pool therefore ends holding less of the asset that rose and more of the asset that stood still.

The pool is a machine that continuously rebalances away from whichever asset is outperforming. That is exactly the service traders are paying for, and the fee income exists to compensate you for providing it. Impermanent loss is what the service costs; fees are what it pays.

The same logic runs in reverse. If ETH had halved instead, arbitrage would have filled your position with extra ETH all the way down, and the position would again trail a plain hold, by the same 5.7%. Divergence in either direction costs the provider; only the size of the move matters.

How big it gets

Impermanent loss depends only on the ratio between the old price and the new one. For a 50/50 constant-product pool, before fees:

• A 1.25x move (or its mirror, 0.8x) costs about 0.6%
• A 1.5x move costs about 2.0%
• A 2x move costs about 5.7%
• A 3x move costs about 13.4%
• A 4x move costs about 20.0%
• A 5x move costs about 25.5%

Two things stand out. Small divergences are close to free, which is why stablecoin pairs make comfortable pools. And the loss accelerates: a 5x move costs vastly more than five times a 1.25x move. Providing liquidity for an asset you expect to multiply is precisely the setup where the pool takes the biggest bite out of your upside.

Why it is called impermanent

The loss is only realized when you withdraw. If the price ratio returns to where it stood when you deposited, the arithmetic unwinds completely and the loss vanishes; in the example above, ETH falling back to $2,000 would restore your original 1 ETH and 2,000 USDG, plus all fees earned along the way. Providers in genuinely mean-reverting pairs can cross zero impermanent loss many times.

The name is still too gentle. Prices are not obligated to come back, and for most volatile pairs the honest expectation is that some divergence will be permanent. Reading "impermanent" as "temporary by promise" rather than "unrealized until withdrawal" is how providers surprise themselves.

Fees are the other half of the ledger

No one provides liquidity for the impermanent loss. They provide it for the fees, and the real question for any position is which grows faster: the fee stream, or the divergence.

In the doubling example, the position needed about $343 of accumulated fees to break even with holding. Whether that is plausible depends entirely on the pool: a deep pair doing heavy daily volume at a 0.05% fee can plausibly earn that on a $4,000 position over months of trading, while a sleepy pool cannot. Calm markets with high volume are the provider's dream; a strong one-way trend on thin volume is the nightmare. Neither is predictable in advance, which is why fee income should be treated as compensation for a risk actually taken, not as free yield.

What v3 concentration changes

Concentrated liquidity, the v3-style design used on Robinhood Chain, lets a provider deposit into a chosen price range instead of the whole curve. Concentration multiplies both halves of the ledger at once:

• Inside your range, your capital acts like a much larger v2 position, so you earn a bigger share of fees per dollar deposited.
• The same concentration means the position rebalances faster as price moves, so divergence loss per dollar also accrues faster.
• If price exits your range entirely, the conversion is total: you are left holding only the asset the market was selling, earning no fees at all until price returns or you reposition.

A narrow range is therefore not a way around impermanent loss; it is a lever on it. The provider who understands that chooses ranges deliberately and sizes positions accordingly. The provider who does not usually learns this section by experience.

Where this leaves you

Impermanent loss is not a bug or a scam; it is the price of running the rebalancing service that makes AMMs work, paid by providers and offset, sometimes fully, by fees. Do the 5.7% example once by hand and the concept stays with you. When you are ready to apply it, the liquidity guide for Robinhood Chain covers ranges, fee tiers, and setup on Splitshot, with the mechanics documented in the liquidity docs.