> For the complete documentation index, see [llms.txt](https://limitless.gitbook.io/limitless/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://limitless.gitbook.io/limitless/advanced/borrowing-repaying-liquidity.md).
# Borrowing/Repaying Liquidity
## Borrowing
Borrowers can borrow from discretized bins chosen by the [indexer](/limitless/advanced/determining-which-ticks-to-borrow-from.md), and this is illustrated in the diagram below. Once the liquidity is lowered in the borrowed tick ranges it won't be used for trading until they are repaid.
For a given x\_b amount of token\_x the borrower is borrowing from bin i, the liquidity subsequently lowered in that bin is
$$
L\_b =x\_b \frac{\sqrt{P\_{{i+1}}} \sqrt{P\_{i}} } {\sqrt{P\_{{i+1}}} -\sqrt{P\_{i}} }
$$
where P\_i+1 and P\_i is the starting price of the next bin and bin i, respectively.
The system ensures that bins that are lent out are always either fully in token0 or token1, which means the current tick is always outside the borrowed ranges.
## Repaying
Repaying will simply revert the changes made to the liquidity distribution made from borrowing. Unlike when in borrowing where the current price is always outside the borrowed ranges, [when a trader or a borrower repays the current tick can be anywhere](/limitless/intro/participants/leverage-traders.md).
### Loan Info
A position's loan info is stored inside an array of struct `LiquidityLoan`.
```solidity
struct LiquidityLoan {
int24 tick; // the first tick of the bin borrowed from
uint128 liquidity; // amount of borrowed liquidity
uint256 lastGrowth; // accumulated growth at last premium payment
}
```
The following diagrams depict the evolution of a position's loan. Data for **each** bin is contained in the `LiquidityLoan` struct.
When a position is added to, the array can grow in length **and** the bins can grow in size. This means a trader can borrow from bins other than the currently borrowed bins.
When a position is reduced, the bins can shrink in size, with the same proportion among all borrowed bins. If `reducePercentage` is 50% in the example above, all three bins' `liquidity` will be reduced by 50%.
####