Concentrated Liquidity

Concentrated liquidity is a design for automated market makers (AMMs) in which each liquidity provider chooses a price range for their funds, and their liquidity is used only while the market price is within that range. It was introduced by Uniswap in its version 3, launched in May 2021, and has since been adopted by many decentralized exchanges on Ethereum and other networks.

In earlier AMMs, every deposit was spread evenly across all possible prices, from zero to infinity, so most of the money in a pool sat unused at prices that would never be reached. By concentrating funds where trading actually happens, providers can offer the same depth with far less money and earn more fees on each dollar deposited. The trade-off is that positions need more attention and carry larger impermanent loss. Concentrated liquidity is a leading example of the push for capital efficiency in DeFi.

Picture a currency exchange booth at an airport. The old design is like spreading your banknotes evenly across every possible exchange rate, including absurd ones that never happen. Most of your money just sits in the drawer. Concentrated liquidity lets you say: "I will only trade between these two rates, where nearly all customers actually trade."

Because all your money is now working in the busy zone, you serve more customers and earn more commission than before. But if the rate drifts outside your chosen zone, you stop trading altogether, and you are left holding only one of the two currencies, usually the one that has just lost value. You then have to decide whether to move your zone, which costs time and fees.

Uniswap v3 divides the price line into small steps called ticks. Each provider picks a lower and upper price, and their funds provide liquidity only between those ticks. The pool adds up all providers whose ranges cover the current price; when a trade moves the price across a tick, providers whose range ends there drop out and others join. Within a single range, the position behaves like a constant-product pool with "virtual" reserves:

• $x$ and $y$ are the real amounts of the two tokens in the position.
• $L$ is the position's liquidity, a measure of how much depth it adds.
• $p_a$ and $p_b$ are the lower and upper prices of the chosen range.

When the price falls below $p_a$, the position holds only the first token; above $p_b$, only the second. Each position is unique, so Uniswap v3 represents it as an NFT rather than a fungible LP token. Pools also offer several fee tiers, so stable pairs can charge low fees and volatile pairs higher ones.

For a range centred on the current price, the gain in capital efficiency compared with a full-range position is:

Suppose ether trades at $3,000 and a provider chooses a range from $2,500 to $3,600. The ratio is 2,500 ÷ 3,600 ≈ 0.694, its fourth root is about 0.913, and 1 ÷ (1 − 0.913) ≈ 11.5. While the price stays inside the range, the provider's deposit offers the same depth as a full-range deposit about 11.5 times larger, and earns fees accordingly. Narrower ranges multiply this further, but are left behind by smaller price moves.

Concentrated liquidity gave decentralized exchanges much tighter effective spreads, especially for stablecoin pairs, where providers can concentrate around a price of one. It brought AMMs closer to order books: a very narrow range acts much like a limit order, and professional market makers began providing liquidity on-chain. It also spawned services that manage positions automatically, rebalancing ranges for depositors in exchange for fees. Other designs adapted the idea, and Uniswap's later version 4 kept concentrated liquidity while adding customisable "hooks".

The main risk for providers is amplified impermanent loss: the narrower the range, the faster the position converts entirely into the falling asset as prices move. Research on Uniswap v3 has found that many retail providers earned less in fees than they lost to price movements, while sophisticated players captured most of the gains. Positions that drift out of range earn nothing, and frequent rebalancing costs gas fees. Liquidity can also thin out suddenly during volatile moves, when many ranges are crossed at once, increasing slippage. For these reasons, concentrated liquidity is often described as better suited to active managers than to passive savers, and its mechanics are covered alongside other pool designs under formulas for automated market makers.