Reserve Requirements

Categories: Banking

The reserve requirement tells banks what percent of the money that is deposited must be kept in a sort of rainy day fund.

High reserve requirements keep banks safer, since if people rush banks demanding their money back, like the bank panic in 1929 preceding the Great Depression, banks will at least be able to pay back some of it immediately. The downside to a high reserve requirement is that it lowers the money multiplier, which makes it harder to get loans and reduces the overall money supply. This deters investment and slows long-term economic growth.

Example:

An alien from Mars shows up at a bank carrying a case full of $100,000 of freshly minted dollar bills. Since the alien is bringing his cash from somewhere other than Earth, the cash has not yet been accounted for in the money supply. By initally injecting this additional 100 grand into the money supply through the banks, what's the total effect on the money supply? Well, the money multiplier effect depends on the reserve requirement.

In the US, the Fed, a.k.a. the Federal Reserve, a.k.a. the central bank, keeps a watchful eye on Reserve Banks, who keep a watchful eye on commercial banks. Yep, it’s a hierarchy. If the Fed is like a royal family, then Reserve Banks are dukes and duchesses, and the commercial banks are aristocrats.

The Fed requires banks to meet “reserve requirements,” also known as the “cash reserve ratio,” which is the amount of money banks have to keep on hand. Why is this a rule? Well, part of what spawned the Fed into existence was a series of runs on banks from banking panics. A “run on a bank” is when everyone rushes to their bank and demands all of their deposits back. The thing is that one of the ways banks make money is by...lending out money. Yep, your money. Your deposits. For banks to make the most money possible, they would lend out as much money as they could...which, in theory would be all of it. But that leaves you, the depositor, without cash when you need it. The Fed wanted runs on banks to be a thing of the past (which they pretty much are now), so they established reserve requirements.

The money that banks are allowed to loan out are called “excess reserves.” For instance, a bank may be required to have 10% of its total money on hand, which would mean the remaining 90% of the money is excess reserves, which banks can lend out to turn a profit.

Now...here’s where the magic happens: multiple expansion of deposits. Multiple expansion of deposits is the theory that each deposit into a bank creates additional money made from excess reserve deposits as they are continuously lent out by, and re-deposited in, banks. There’s a literal multiplier effect that ripples outward into the economy called the “deposit expansion multiplier,” which estimates the maximum amount of money the Fed could expect a deposit injection into the economic system to create. This is how the Fed decides how much new money to pump into the economy, and the maximum effect they could possibly expect from that injection of money.

For instance, let’s say your bank has a 10% reserve requirement, leaving 90% in excess reserves. When that money is lent out, it’s deposited into another bank...eventually. So...let’s say you deposit a $2,000 check into your bank account. Your bank says “whoopee!” and lends out 90% of it, which is $1,800 (that other $200 they’re going to keep on hand for reserve requirements). Say that $1,800 is lent out to Climber Chris, who’s keen on climbing Everest. Climber Chris deposits that $1,800 into his bank account. Climber Chris’s bank says “whoopee!” just like your bank, and does the same thing: the bank lends out 90% of the $1,800, which is $1,620. The remaining 10% ($180) is kept at Climber Chris’s bank to meet reserve requirements. Climber Chris’s bank lends out $1,620 to Teacher Tina, who’s running short on school supplies and gas. Teacher Tina puts that $1,620 into her bank account. You can guess what Teacher Tina’s bank does. Yep, same as your bank, and same as Climber Chris’s bank, Teacher Tina’s bank lends out 90% of the money she deposited, which is $1,448, to Dan the Man...and so on and so on.

In this way, an initial deposit actually grows, providing more value than the initial amount deposited. Each time money is loaned out and redeposited, only 90% of that deposit gets turned into a new loan. We can keep taking 90% of the deposits (the maximum amount banks could loan out from that deposit) until the amount loaned out and deposited gets to pennies. You still have that $2,000 in your bank account that belongs to you. Meanwhile, Climber Chris has $1,800 that he can spend, and Teacher Tina has $1,620 that she can spend, which all came from your initial deposit.

How can $2,000 that was in your bank account multiply into additional value that other people can use in the economy? We told you that multiple expansions of deposits was magic. It literally expands the money supply. Remember that deposit expansion multiplier we mentioned earlier? It’s how the Fed can measure the maximum amount of money an initial injection of a deposit can be expected to create.

The deposit expansion multiplier is 1 divided by the reserve requirement. In our case, that’s 1 / 0.10...or 10. We can use the deposit expansion multiplier to see how much money your $2,000 deposit expanded the money supply. To figure out how much a deposit expanded the money supply, we multiply the expansion multiplier by the initial excess reserves. In our scenario, the reserve requirement is 10%, which gives us the deposit expansion multiplier of 10. Then we take the excess reserves from the initial deposit (you know, the 90% chunk of money that was created into the first loan for Climber Chis by your bank), which was $1,800. $1,800 x 10 = $18,000. 90% of your deposit was loaned out and deposited (to Climber Chris), then 90% of that was loaned out and deposited (to Teacher Tina), and 90% of that was loaned out and deposited (to Dan the Man), etc. If we assume the banks loaned out 90% at each stage, then it means the money supply was expanded by $18,000.

Yep. That means (assuming a reserve requirement of 10% for all commercial banks) that your initial deposit of $2,000 expanded the money supply by $18,000 in the economy. Yes, you can tell everyone “You’re welcome” now.

Okay...besides feeling like a money expansion superhero, why we care about multiple expansion of deposits? The Fed is in charge of keeping the economy healthy. One major way of doing that is by maintaining the money supply. You can think about the Fed as a doctor and the economy as a patient, with the money supply as blood pressure. A low blood pressure (a low money supply) means multiple expansion of deposits is low. Which means there’s less money flowing through the economy, which results in less spending, and slower economic growth. No like-y.

Blood pressure that’s too high (a high money supply) isn’t good either though. We’ve seen it before in history where a government just starts printing more and more money without the corresponding economic growth. What happens? Hyperinflation: prices of everything skyrocket, and money becomes almost useless...which is not good for the economy. That $2 milk? Now it’s $100. A month later, it’s $6,000. That’s not even an exaggeration…some places have faced hyperinflation of 3,000%.

The Fed’s job is to keep the economy’s money supply stable, which means it needs to be not too high, and not too low. When the Fed raises interest rates, it lowers the demand for loans, which lowers the amount of excess reserves loaned out, and slows the growth of the money supply from slower expansions of deposits. When the Fed lowers interest rates, it’s trying to increase demand for loans, encouraging the multiple expansion of deposits to grow the money supply.

Besides interest rates, the Fed can tinker with things like "stimulus packages" and other strategies to expand (or contract) the money supply. So now you know: money doesn’t grow on trees…but it does grow out of your bank account.

Related or Semi-related Video

Econ: What are Reserve Requirements, Exc...19 Views

00:00

And finance Allah shmoop What our reserve requirements excess reserves

00:06

and the multiple expansion of deposits in the US The

00:12

Fed a k a The Federal Reserve a k a

00:14

The central bank keeps a watchful eye on reserve banks

00:18

who keep a watchful eye on commercial banks So yes

00:21

there's a whole hierarchy If the Fed is like a

00:24

royal family well then reserve banks or dukes and duchesses

00:27

and the commercial banks are aristocrats The Fed requires banks

00:31

to meet reserve requirements also known as the cash reserve

00:36

ratio which is the amount of money banks have to

00:38

keep on hand Handy Dandy Ready for quick withdrawal Why

00:41

is this a rule Well part of what spawned the

00:44

Fed into existence in the first place was a siri's

00:47

of runs on banks from banking panics A run on

00:50

the bank is when everyone rushes to their bank and

00:53

demands all of their deposits back Now the thing is

00:57

one of the boys banks make money is by lending

00:59

out your money to other people Yep your money Your

01:02

deposit for banks to make the most money possible Well

01:05

they would lend out as much money as they could

01:08

which in theory would be all of it But then

01:09

that leaves you the deposit or without cash when you

01:13

need it The Fed wanted runs on banks to be

01:15

a thing of the past which they pretty much are

01:17

now so they made these reserve requirements The money that

01:20

banks are allowed to loan out are called the excess

01:23

reserve For instance a bank may be required to have

01:26

say ten percent of its total money on hand which

01:29

would mean the remaining ninety per cent of the money

01:31

is excess reserves which banks can lend out to turn

01:34

a profit Now here's where the magic happens Multiple expansion

01:38

of deposit Well multiple expansion of deposits is the theory

01:42

that each deposit into a bank creates additional money made

01:45

from excess reserve deposit as they are well continuously lent

01:50

out by banks and then re deposited in other banks

01:53

There's a literal multiplier effect that ripples outward into the

01:56

economy called the Deposit Expansion Multi a buyer which estimates

02:01

the maximum amount of money that the Fed could expect

02:03

in deposit injection into the economic system that you know

02:08

they were kind of creating and managing Well this is

02:10

how the Fed the controller of the money supply decides

02:13

how much new money toe pump into the economy and

02:16

the maximum effect they could possibly expect from that injection

02:20

of money into the system For instance let's say your

02:23

bank has a ten percent reserve requirement leaving ninety percent

02:26

in excess reserves Well when that money is lent out

02:29

whether to a consumer or a business it's deposited into

02:32

another bank eventually So let's say you deposited two thousand

02:37

dollars check into your bank account in your bank says

02:39

would be and it lends out ninety percent of it

02:41

which is eighteen hundred box right that other two hundred

02:43

dollars they were going to keep on hand for reserve

02:46

requirements Okay so let's say that eighteen hundred dollars is

02:48

linked to a climber Chris who's keen on climbing Mount

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Everest climber Chris deposits that eighteen hundred dollars into his

02:55

bank account Clymer Chris's bank says would be just like

02:59

your bank and they do the same thing that bank

03:01

lens Ninety percent of the eighteen hundred dollars which is

03:04

sixteen hundred twenty bucks The remaining ten percent that hundred

03:07

eighty is kept at Climber Chris's Bank to meet reserve

03:10

requirements Well Climate Chris Bank then lends out six hundred

03:13

twenty dollars to teacher Tina who's running short on school

03:16

supplies and gas Teacher Tina What's that Sixteen twenty into

03:20

her bank account And you can guess what teacher Tina's

03:23

bank account does Yep same is your bank and same

03:25

as Climber Chris's bank and teacher Tina's bank lends out

03:28

ninety percent of the money she deposit which is a

03:30

fourteen hundred forty eight dollars to Dan the Man and

03:33

so on Under this system and initial deposit actually grows

03:36

providing more value than the initial amount deposited Its multiplied

03:41

each time money is loaned out and then re deposited

03:43

only ninety percent That deposit gets turned into a new

03:45

loan Well we could keep taking ninety percent of the

03:48

deposits The maximum amount thanks can loan out from that

03:51

deposit until the amount loaned out deposited gets just any

03:55

words No more counting anymore So you still have that

03:58

two thousand dollars in your bank account that belongs to

04:00

you Meanwhile climate Chris has eighteen hundred and you can

04:03

spend a teacher Tina has sixteen twenty that she can

04:06

spend and it all came from your initial deposit Thank

04:09

you very much Well how Khun to Grand that was

04:11

in your bank account multiply into additional value that other

04:15

people can use in the economy But we told you

04:18

that multiple expansions of deposits was magic It literally expands

04:22

the money supply Will remember that deposit expansion multiplier we

04:25

mentioned earlier It's how the Fed can measure the maximum

04:28

amount of money and initial injection of a deposit like

04:31

your two grand can be expected to create Will the

04:34

deposit expansion multipliers just calculated as one divided by the

04:38

reserve requirements sonar case That's one By the by point

04:42

one or ten we can use the deposit expansion multiplier

04:45

to see how much money you're too grand Deposit expanded

04:47

the money supply under this setting to figure out how

04:49

much a deposit expanding the money supply We just multiply

04:52

the expansion multiplier by the initial excess reserves On our

04:55

scenario the reserve requirements ten percent which gives a deposit

04:58

expansion multiplier of ten Then we take that excess reserves

05:01

from the initial deposit You know that ninety percent chunk

05:03

of money that was created into the first loan for

05:06

climate Chris by your bank and I was eighteen hundred

05:08

bucks right So you're going to multiply that eighteen hundred

05:10

by ten So ninety percent ofyour deposit was loaned out

05:13

on deposit to Climate Chris and I sounded out blown

05:16

out positive Tina and I pretended I was loaned out

05:18

and positive Dan the Man and so on So if

05:20

we assume the bank's loaned out ninety percent of stage

05:22

while then it means the money supply was expanded by

05:25

eighteen thousand dollars That means assuming a reserve requirement of

05:29

ten percent for all commercial banks while your initial deposit

05:32

of two grand expanded the money supply nine times to

05:36

be eighteen thousand dollars in the economy Yes you Khun

05:39

tell everyone you're welcome Okay So besides feeling likea money

05:43

expansion superhero why do we care about multiple expansion of

05:47

deposits Well the Fed is in charge of keeping the

05:50

economy healthy One major way of doing that is by

05:52

maintaining the money supply you can think about That is

05:55

a doctor and the economy is a patient with the

05:58

money Supply is well the blood pressure A low blood

06:00

pressure like a low money supply means multiple expansion of

06:04

deposit is low which means there's less money flowing through

06:07

the economy which results in less spending and slower economic

06:10

growth Yeah no likey Blood pressure that's too high like

06:14

a high money supply isn't good either though we've seen

06:16

it before in history where a government just starts printing

06:19

more and more money without the corresponding economic growth and

06:22

what happens well hyperinflation prices of everything skyrocket and money

06:27

becomes almost useless People lose trust in the system And

06:30

oh that's so not good for the economy So that

06:33

two dollar milk and now it's one hundred dollars a

06:35

carton a month later Six thousand Some places have faced

06:39

hyperinflation of like three thousand percent a year or more

06:42

Well the feds jobs to keep the economy's money supply

06:44

like blood pressure stable which means it needs to be

06:47

not too high not too low Well when the Fed

06:50

raises interest rates it essentially lowers the demand for loans

06:54

It lowers the amount of access reserve loaned out and

06:56

that whole process slows the growth of the money supply

06:59

from slower expansions of deposits When the Fed lowers interest

07:03

rates it's trying to increase demand for loans encouraging the

07:06

multiple expansion of deposits to grow the money supply well

07:09

Besides interest rates the Fed can tinker with things like

07:12

stimulus packages and other strategies to expand or contract the

07:16

money supply They do all kinds of things They're sort

07:19

of crazy All right so now you know money does

07:21

not grow on trees but well it does grow out

07:23

of your bank account So let's go deposits him though

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