The bank can rely on this fact. It only needs enough notes to support a likely amount of physical cash withdrawals each day.
yes, but they can't fiddle those numbers. if you deposit 100$, they can lend up to 100$. no more
Lending isn't limited by deposits, it's limited by central bank regulations.
Here's what the Bank of England says [0]
> if you borrow £100 from the bank, and it credits your account with the amount, ‘new money’ has been created. It didn’t exist until it was credited to your account.
> Regulation limits how much money banks can create.
Banks only need to maintain enough deposits to cover their liquidity needs - what they need to pay people withdrawing cash and what they need to transfer to other banks due to electronic money moving.
[0] https://www.bankofengland.co.uk/explainers/how-is-money-crea...
That's the basic logic: modern banking adds in a central bank that guarantees that it will lend enough to solvent banks at 5.5% to meet their customers' withdrawal requirements even if everyone pulls money out, banks treating each others' credit as equivalent in value to cash because they can always convert it, and a bunch of rules about lending needing to be banked with bank capital and other weighted assets to keep lending growth from being silly.
Right, but the bank also knows that people are doing the exact same thing with other banks; borrowing money from the other bank which will get spent immediately back at this one.
Banks are prepared to meet the difference in money in and money out, they're not prepared to meet the total volume of deposits. When the bank gets this wrong there's a liquidity crisis (or a bank run) which causes Big Problems.
no they're not, they're loaning out 100$ total. they never have loaned out more than they had on their books, it's not possible