# Money Multiplier and Reserve Ratio

The Money Multiplier refers to how an initial deposit can lead to a bigger final increase in the total money supply.

For example, if the commercial banks gain deposits of £1 million and this leads to a final money supply of £10 million. The money multiplier is 10.

The money multiplier is a key element of the fractional banking system.

1. There is an initial increase in bank deposits (monetary base)
2. The bank holds a fraction of this deposit in reserves and then lends out the rest.
3. This bank loan will, in turn, be re-deposited in banks allowing a further increase in bank lending and a further increase in the money supply.

The Reserve Ratio

The reserve ratio is the % of deposits that banks keep in liquid reserves.

For example 10% or 20%

### Formula for money multiplier

In theory, we can predict the size of the money multiplier by knowing the reserve ratio.

• If you had a reserve ratio of 5%. You would expect a money multiplier of 1/0.05 = 20
• This is because if you have deposits of £1 million and a reserve ratio of 5%. You can effectively lend out £20 million.

### Example of money multiplier

• Suppose banks keep a reserve ratio of 10%. (0.1)
• Therefore, if someone deposits \$100, the bank will keep \$10 as reserves and lend out \$90.
• However, because \$90 has been lent out – other banks will see future deposits of \$90.
• Therefore, the process of lending out deposits can start again.

Note: This example stops at stage 10. In theory, the process can continue for a long time until deposits are fractionally very small.

• If allowed to repeat for an infinite number of times, the final total deposits would be \$1,000
• Money multiplier = 1/0.1 = 10.
• Final increase in money supply = 10 x \$100 = \$1,000

### Using the Reserve ratio to influence monetary policy

In theory, if a Central Bank demands a higher reserve ratio – it should have the effect of acting like deflationary monetary policy. A higher reserve ratio should reduce bank lending and therefore reduce the money supply.

### Money Multiplier in the real world

In a simple theory of the money multiplier, it is assumed that if the bank lends \$90 – all of this will return. However, in the real world, there are many reasons why the actual money multiplier is significantly smaller than the theoretically possible money multiplier.

1. Import spending. If consumers buy imports the money leaves the economy
2. Taxes. A percentage of income will be taken in taxes.
3. Savings. Not all money is spent and circulated, a significant percentage will be saved
4. Currency Drain Ratio. This is the % of banknotes that individual consumers keep in cash, rather than depositing in banks. If consumers deposited all their cash in banks, there would be a bigger money multiplier. But, if people keep funds in cash then the banks cannot lend more
5. Bad loans. A bank may lend out \$90 but the company goes bankrupt and so this is never deposited bank into the banking system.
6. Safety reserve ratio. This is the % of deposits a bank may like to keep above the statutory reserve ratio. i.e. the required reserve ratio may be 5%, but banks may like to keep 5.2%.
7. It might not be possible to lend more money out. Just because banks could lend 95% of their deposits doesn’t mean they can, even if they wanted to. In a recession, people may not want to borrow, but they prefer to save.
8. Banks may not want to lend Also, at various times, the banks may not want to lend, e.g. during a recession they feel firms and individuals more likely to default. Therefore, the banks end up with a higher reserve ratio.

Therefore, due to these factors, the reserve ratio and money multiplier are theoretical.

### Loan first multiplier

The money multiplier model suggests banks wait for deposit and then lend out a fraction. However, in the real world, banks may take it upon themselves to issue a loan, and then seek out reserves from other financial institutions/Central Bank or private individuals.

For example, in the credit bubble of 2000-2007, many banks were lending mortgages by borrowing on short-term money markets. They were lending money that wasn’t related to saving deposit accounts.

### Money multiplier and quantitative easing

In 2009-12 Central Banks pursued quantitative easing. This involves increasing the monetary base. – Buying bonds off banks gave them greater cash reserves. In theory, this increase in the money multiplier should increase the overall money supply by a large amount due to the money multiplier

However, in practice, this didn’t occur. The money supply didn’t increase because banks were not keen to lend any extra money.

Also, banks were trying to improve their reserves following the credit crunch and their previous over-extension of loans.

### 16 thoughts on “Money Multiplier and Reserve Ratio”

1. is any one know the currency drain ratio is pakistan?
please mail me that web site

3. Is the money multiplier negatively related to the currency-check able deposit. If yes please explain

4. what happens to money multiplier and reserve ratio during the financial crisis

• During the financial crisis , The government of that country would like to overcome it by any means..One of their idea will be giving more loans to public so that there will be higher production of goods and services as well as an employment..For that , The central bank of that country will reduce the CRR(cash reserve ratio) of the banks. so the banks can lend more.
The fact that the reserve ratios and Money multiplier are indirectly proportional, The decrease in reserve ratio will increase the money multiplier and deposits.
Then the government will be able to achieve its aim.

5. What happens to money multiplier if reserve ratio doesn’t exist?

• If CRR don’t exist, then money multiplier will become infinity provided that the cycle of borrowing and lending by banks go on and on.

• Money becomes worthless as multiplier goes to infinity.

Bank takes in \$100 deposit and lends out \$100 to someone else. The original depositor comes in the next day and asks for his \$100 back. The bank doesn’t have it and is now insolvent.

• A key assumption is cash drain is not there, i.e. all transactions through cheques /online

6. Can the author of this blog explain the following sentence?

“Bad loans. A bank may lend out \$90 but the company goes bankrupt and so this is never deposited bank into the banking system.”

“deposited bank”?

Is that supposed to be “deposited back”?

7. Please can you help with this question;
Why does the size of the following multipliers; Investment, Foreign trade, government spending, taxation and money matter to the UK prime minister Boris Johnson.

8. Is the multiplier applied to the total investment or just the excess reserve (not counting the required reserve)? For example, if the RR is 10% and \$1000 is deposited, do we multiply \$1000 by 10 or \$900 by ten?

9. nothing makes sense

10. So total balance of reserves / reserve requirements = RR
Then that total would be plugged in to MM= 1/ RR ?
So 2045148 (TR) / 113139 (RR) = 18.076419
1/18.076419 = 5.53206916
So the reserve ratio = the 18.07 or the 5.53 ?