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What liquidity means in a token pool, with the arithmetic

Why a pool with little money in it moves the price a lot, shown with a worked example you can check yourself.

Updated · Aretia Finance

On a decentralised exchange there is no order book matching buyers with sellers. A token trades against a pool: a stored amount of the token and a stored amount of another asset, such as ETH, SOL or a dollar stablecoin. The size of that pool is its liquidity. The pool sets the price from the ratio between the two amounts, and every trade changes the ratio.

A worked example

Take a simple pool that keeps the product of its two amounts constant (the design used by many pools, ignoring fees):

  • The pool holds 10 ETH and 1,000,000 TOKEN. The price is 10 / 1,000,000 = 0.00001 ETH per token.
  • You buy with 1 ETH. The pool now holds 11 ETH, so to keep the product at 10,000,000 it must hold 10,000,000 / 11 = 909,091 tokens. You receive 1,000,000 − 909,091 = 90,909 tokens.
  • You paid 1 ETH for 90,909 tokens, so your average price was 0.000011 ETH, which is 10% worse than the starting price. The price after your trade is 11 / 909,091 = 0.0000121 ETH, 21% higher than before.

Now take a pool ten times larger (100 ETH and 10,000,000 TOKEN) and the same 1 ETH purchase moves the price by about 2%. The trade did not change, the pool did.

Why this matters to you

  • Price impact. A small pool makes every trade expensive, and your own sale moves the price against you on the way out.
  • Exit. Liquidity is what you sell into. A token you can buy but cannot sell without crashing its price has no real market.
  • Manipulation. In a tiny pool, a few dollars can make a chart look like a rocket. That is why Aretia Markets hides pools below a small liquidity floor by default.
  • Withdrawal. The people who added the money can usually take it out. Some projects lock or burn the tokens that represent their share of the pool, which stops that; you can check this on a block explorer or a lock service.

Two things that look like liquidity and are not

  • Market cap or fully diluted value. These multiply a price by a supply. They say nothing about how much money is in the pool. A token can show a “valuation” of millions with a pool of a few hundred dollars. Aretia labels its figure a fully diluted value (price times total supply) and never calls it market cap.
  • 24-hour volume. Volume counts trades, not money available. A pool can trade many times its own size in a day, which is a reason for caution rather than comfort. Aretia leaves out pools whose daily volume is more than a hundred times their liquidity from its network totals, because that pattern is wash trading or a broken price.

For the other checks worth making, see how to check a token before you swap it. This guide is general education, not financial advice.

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