This is wrong.
In order to lend $1 000 000 the bank needs to have deposits of $1250000 (assuming 20% reserve requirements)
Fractional reserve banking means that the bank like other financial institutions chooses to or is required to retain a percentage of is deposits and can only lend out the balance.
Without fractional reserve banking money would lie idle in the bank and the bank would only be allowed lend out from it's own reserves. The result would be no interest whatsoever payable on deposits, and extremely high interest rates on a far more limited finance supplies. This would greatly restrain economic growth and expansion,
How do you prevent bank runs in the above scenario?
E.G. To explain why you are wrong, lets assume you are correct.
Now I deposit R1000 rand. You say that the reserve requirement = 25% and that means the bank can only lend out R750. So lets say that is exactly what happens, the bank lends out R750. So now the bank has lent out R750 and has R250 left right?
Now I return to the bank and demand MY R1000. Can the bank pay me MY R1000? No it cannot. Basically bank runs would put banks out of business. This has happened on a massive scale in the past, particularly in the US. Quite simply, the bank cannot lend out my money and at the same time guarentee it. I know what you are about to argue, that what the bank will do is pay me my R1000 out of someone else's deposits right? But then what if they want their money? The point is this, the bank CANNOT guarentee everyone's funds AND loan out money. It is a mathematical impossibility and thus amounts to fraud. The banks do not simply shuffle funds from one account to the next.
This is how it is usually done. This allows the bank to prevent bank runs, guarentee deposits and make loans.
I deposit R1000. Now the reserve requirement is 25%. The bank is able to lend out R750 right, it does so by creating NEW money. It literally puts a R750 rand credit to the loan account and R750 debit to the banks books and voila, you have R750 of new money.
Now the R750 if left in the bank account by the dude who loaned the money from the bank, also forms part of the banks deposits. So the deposits Now sit at R1000 (Mine) + R750 (New) = R1750, now the bank can lend out 25% of that.
This way it allows loans to be made (Making capital more liquid and available, keeping the Keynesians happy) and it allows banks to cover themselves in case of bank runs. All depositors can take out their cash at a moments notice.
Here's Robert Murphy on the subject.
The Fractional-Reserve Banking Question"Creating Money Out of Thin Air?
Some people deny that commercial banks "create money out of thin air." They agree that the Fed does so when it buys assets by writing a check on itself. However, in our example above, it seems that the commercial bank at worst is taking $900 of "Bill's money" and handing it over to Sally. Sure, that might be dubious, but it's not as blatant as when the Fed literally writes checks drawn on thin air, right?
Actually, I think this standard textbook description — in which each new bank in the sequence creates new loans equal to 90 percent of the new deposit — is a bit misleading. There is nothing in the legal reserve requirement to prevent banks from making new loans that are large multiples of a new deposit. Instead, it is prudence on the part of the banks that enforces this restraint.
To see this, let's repeat the above story but have the bank make a much larger business loan to Sally:
I. Bank's Balance Sheet after Billy's Deposit
Assets
$1,000 in vault cash
Liabilities + Shareholder's Equity
$1,000 (Billy's checking account balance)
II. Bank's Balance Sheet after Loan Granted to Sally
Assets
$1,000 in vault cash
$9,000 loan to Sally at 5% for 12 months
Liabilities + Shareholder's Equity
$1,000 (Billy's checking account balance)
$9,000 (Sally's new checking account)
Let's stop at this point and consider what has happened. The bank's balance sheet still checks out — $10,000 in assets and $10,000 in liabilities. So the accountant's head won't explode on account of the large loan to Sally.
But perhaps the bank in our updated scenario is running afoul of the 10-percent reserve requirement enforced by the Fed? Again, no — as of the moment of the new loan to Sally, the bank's total customer checking account balances are $10,000, and the bank has $1,000 in physical currency in its vault, "backing up" those accounts. So the bank is satisfying the 10-percent reserve requirement.
To understand why the bank would be foolish to make a $9,000 loan to Sally after receiving Billy's $1,000 in cash, we must look ahead one step:
III. Bank's Balance Sheet after Sally Spends Her Loan on Business Supplies
Assets
($8,000) in vault cash
$9,000 loan to Sally at 5% for 12 months
Liabilities + Shareholder's Equity
$1,000 (Billy's checking account balance)
$0 (Sally's checking account balance)
Now we see the problem: Presumably, Sally is not going to borrow $9,000 at interest, in order to let that balance sit in her checking account. She is going to spend the money, by writing checks on the account. The people who receive those checks are going to deposit them in their own banks; and, during normal interbank clearing operations, the original bank will receive requests to transfer out $9,000 of its reserves.
We now see why standard economics textbooks have banks only making new loans equal to 90 percent of the amount of each new injection of deposits. The assumption is that the new depositor won't withdraw his money anytime soon, but that the new borrower (i.e., the person getting the loan) will withdraw the money very soon.
Let's be clear though on the moral of the story: in this second scenario — which is not in violation of the reserve requirement (though it might violate capital requirements or other regulations) — the commercial bank is quite obviously "creating money out of thin air."
Consider: The bank received $1,000 in currency from Bill, and it then made a loan of $9,000 to Sally. This new money didn't "come from" anywhere; it existed as soon as the bank clerk changed the numbers on the ledger. Sally went from having $0 in her checking account to having $9,000, with the simple push of a button.
Conclusion
In the present article, we have walked through a simple example to illustrate the strange nature of fractional-reserve banking. In a very real sense, this process creates money out of thin air. This observation alone doesn't prove its illegitimacy, let alone its connection with the business cycle, but it should give pause to those who see nothing wrong with the practice."
Mises Daily: Monday, June 14, 2010 by Robert P. Murphy
http://mises.org/daily/4499
Also see this wiki page, look under example of deposit multplication.
http://en.wikipedia.org/wiki/Fractional-reserve_banking
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