I’m maybe not on solid ground here, since I’m not an accountant and the last time I studied Accounting I was 15 (I didn’t find it particularly interesting at the time).
Still, when the bank makes a loan it effectively takes some reserves and gives them to the borrower (by way of putting them in the borrower’s account) which decreases the banks assets (those reserves were an asset). However the bank considers the loan that they just made to be an asset of equivallent value… so their net position remains exactly the same. The loan that they extend does NOT (as far as I’m aware) increase their liabilities in any way since otherwise, from an accountant’s point of view, they’d be decreasing their assets (their reserves) and increasing their liabilities… which just doesn’t make sense to a bean counter.
So the way I think it works is actually this:
Bank starts with $100 is deposits and thus $100 in assets (the deposits) plus $100 in liabilities (the money they owe the depositor that gave them the $100). They can, on the basis of a reserve requirement of 10%, lend $90 out and then they still have $100 in assets, only these consist of $10 in reserves and $90 in loans. So far so good.
If the $90 they leant gets deposited at another bank and that other bank then lends out $81 that gets paid back to a customer of our original bank then they can expand their balance sheet somewhat. They now have $181 in liabilities (depositors) and $91 in reserves and $90 in loans - so also $181 in assets… the bean counters are happy. They can then proceed to lend a further $72.50 and so on and so forth.
At the end of the day, let’s say all the banks lend to the very legal limits of their capacity to do so while remaining within the reserve requirements. Quite regardless of how much profit they’ve all made etc. there will be almost $1000 in the economy, $100 of which will take the form of reserves and $900 of which will be in the form of credit. As the banks may have made some profits by way of interest, transaction fees etc., they might actually have a chunk of that $900 on their books as assets as well, but for the moment let’s imagine that the banks spent EXACTLY what they earnt in profits on wages, maintenance etc. As such, every one is square and the banks are right on the margin of what is legally and technically possible for them.
Scenario One
Now let’s imagine that one of the bank’s loans goes bad because Joe Shmoe get’s fired and isn’t able to make his repayments. The bank sells Joe’s car (which is what the loan was made for) but can only recover $10 even though Joe still owed another $20 on that car. Now the banks balance sheet has changed because a $10 “Asset” in their books has just gone up in smoke. The bank effectively traded $10 in reserves (which it leant to Joe) for nothing at all.
The banking system as a whole, after that loss has been realized, now only has $990 in assets but $1000 in liabilities and is, therefore, insolvent. In particular, the bank that had to realise the $10 is insolvent. If that’s the only loss that is made then all the other banks are still fine.
Scenario Two
Instead of a loss, imagine the following. Bank B which participates in this system has $200 in deposits and has loaned out $180 of that. As such, they still have $20 in reserves for liabilities (i.e. total deposits) of $200, which is fine. They currently meet their 10% reserve requirement. Now imagine that one of the depositors comes in and asks to close their account and withdraw the $10 that they had on deposit. The bank then finds themself in the situation that they only have $10 in reserves but they have $180 extended in loans - so they only have 5% reserves and fall short of their reserve requirement by $10.
Scenario 2a.
What’s more, at the current stage in our story the customer hasn’t deposited the money they took out when they closed their account at any of the other banks. Imagine the customer does actually go accross the road to Bank A and desposits the $10 there instead. Bank A would then be in a position to “loan” those reserves to Bank B (so that Bank B could meet their reserve requirements). But Bank B would want to be pretty sure that they’d have $10 plus whatever they have to bank Bank A in interest coming in as revenue at some stage in the near future in order to pay Bank A back. Indeed, Bank A would want to be pretty sure of this as well (and in particular Bank A). If Bank A wasn’t sure of this, it would be no deal… which is pretty much what we have happening at the moment (banks not willing to lend to one another).
Scenario 2b.
Let’s imagine instead that the customer didn’t deposit the money at another bank. Instead, they decide to keep the cash under their pillow because they don’t trust any of the banks (good for them). Now the banking system as a whole has insufficient reserves to sustain the total quantity of loans that they have extended. Bank B won’t be able to borrow the money they need to meet their reserve requirements from any of the other banks and must turn to lender of last resort in order to borrow the reserves that they require… and by the lender of last resort I am, of course, refering to the central bank which can print of a fresh batch of reserves willy nilly as they please.
To prevent banks from simply borrowing infinite quantities of cash that they never intend to pay back from the central bank, there are capital requirements and all sorts of other regulations, but I think the above covers the general principles - unless I’ve misunderstood something (which is possible - as I say I’m not an accountant and I’m not really a specialist in reserve banking either).