Fractional-reserve banking is the practice whereby
banks
retain only a portion of their customers'
deposits as readily available
reserves (currency or deposits at the
central bank) from which to satisfy demands for payment. The
remainder of customer-deposited funds are used to fund investments
or loans the bank makes to other customers.[1]
Most of these funds are later redeposited into banks, allowing
further lending. Thus, fractional-reserve banking permits the
money supply to grow to a
multiple of the underlying reserves of
base money originally created by the central bank.[2][3]
Most central banks and other monetary authorities regulate bank
credit creation, imposing
reserve requirements and other
capital adequacy ratios. This limits the amount of
money creation that occurs in the commercial banking system,[3]
and ensures that banks have enough funds to meet the demand for
withdrawals. To mitigate the risks of
bank
runs (when a large proportion of depositors seek withdrawal of their
demand deposits at the same time) or, when problems are extreme and
widespread,
systemic crises, the governments of most countries
regulate and oversee commercial banks, provide
deposit insurance and act as
lender of last resort to commercial banks.[2][3]
Fractional-reserve banking is the current form of banking in all
countries worldwide.[4]
History
Fractional-reserve banking predates the existence of governmental
monetary authorities and originated many centuries ago in bankers'
realization that depositors generally do not all demand payment at the
same time.[5]
Savers looking to keep their valuables in safekeeping depositories
deposited gold
and silver
at
goldsmiths, receiving in exchange a
note for their
deposit (see
Bank of Amsterdam). These notes gained acceptance as a
medium of exchange for commercial transactions and thus became as an
early form of circulating
paper money.[6]
As the notes were used directly in
trade,
the goldsmiths observed that people would not usually redeem all their
notes at the same time, and they saw the opportunity to invest their
coin reserves in interest-bearing loans and bills. This generated
income
for the goldsmiths but left them with more notes on issue than reserves
with which to pay them. A process was started that altered the role of
the goldsmiths from passive guardians of
bullion,
charging fees for safe storage, to interest-paying and interest-earning
banks. Thus fractional-reserve banking was born.
However, if
creditors (note holders of gold originally deposited) lost faith in
the ability of a bank to [pay] their notes, many would try to redeem
their notes at the same time. If in response a bank could not raise
enough funds by calling in loans or selling bills, it either went into
insolvency or defaulted on its notes. Such a situation is called a
bank
run and caused the demise of many early banks.[6]
Starting in the late 1600s nations began to establish
central banks which were given the legal power to set
reserve requirements and to issue the reserve assets, or
monetary base, in which form such reserves are required to be held.[7]
The reciprocal of the reserve requirement, called the
money multiplier, limits the size to which the transactions in money
supply may grow for a given level of reserves in the banking system. In
order to mitigate the impact of bank failures and financial crises,
governments created
central banks – public (or semi-public) institutions that have the
authority to centralize the storage of precious metal bullion amongst
private banks to allow transfer of gold in case of
bank runs, regulate commercial banks, impose reserve requirements,
and act as lender-of-last-resort if any bank faced a
bank
run. The emergence of central banks reduced the risk of
bank runs inherent in fractional-reserve banking and allowed the
practice to continue as it does today.[3][8]
Over time, economists, central banks, and governments have changed
their views as to the policy variables which should be targeted by
monetary authorities. These have included interest rates, reserve
requirements, and various measures of the
money supply and
monetary base.
How it works
In most legal systems, a bank deposit is not a
bailment. In other words, the funds deposited are no longer the
property of the customer. The funds become the property of the bank, and
the customer in turn receives an asset called a
deposit account (a
checking or
savings account). That deposit account is a liability of the
bank on the bank's books and on its
balance sheet. Because the bank is authorized by law to make loans
up to a multiple of its reserves, the bank's reserves on hand to satisfy
payment of deposit liabilities amounts to only a fraction of the total
which the bank is obligated to pay in satisfaction of its demand
deposits.
Fractional-reserve banking ordinarily functions smoothly. Relatively
few depositors demand payment at any given time, and banks maintain a
buffer of reserves to cover depositors' cash withdrawals and other
demands for funds. However, during a
bank
run or a generalized
financial crisis, demands for withdrawal can exceed the bank's
funding buffer, and the bank will be forced to raise additional reserves
to avoid defaulting on its obligations. A bank can raise funds from
additional borrowings (e.g., by borrowing in the
interbank lending market or from the
central bank), by selling assets, or by calling in short-term loans.
If creditors are afraid that the bank is running out of reserves or is
insolvent, they have an incentive to redeem their deposits as soon as
possible before other depositors access the remaining reserves. Thus the
fear of a bank run can actually precipitate the crisis.
Many of the practices of contemporary bank regulation and
central banking, including centralized
clearing of payments,
central bank lending to member banks, regulatory auditing, and
government-administered
deposit insurance, are designed to prevent the occurrence of such
bank
runs.
Economic function
Fractional-reserve banking permits a bank to make loans against the
reserves it takes in as demand deposits.
Full-reserve banking would not permit lending from demand deposits.
Fractional-reserve banks can thus offer demand accounts, which provide
immediate liquidity to depositors, and also provide longer-term loans to
borrowers, and act as
financial intermediaries for those funds.[3][9]
Less liquid forms of deposit (such as
time deposits) or riskier classes of financial assets (such as
equities or long-term bonds) may lock up a depositor's wealth for a
period of time, making it unavailable for use on demand. This "borrowing
short, lending long," or
maturity transformation function of fractional-reserve banking is a
role that many economists consider to be an important function of the
commercial banking system.[10]
Additionally, according to
macroeconomic theory, a well-regulated fractional-reserve bank
system also benefits the economy by providing regulators with powerful
tools for influencing the
money supply and interest rates. Many economists believe that these
should be adjusted by government to promote various public policy
objectives.[11]
Modern central banking allows banks to practice fractional-reserve
banking with inter-bank business transactions with a reduced risk of
bankruptcy. The process of fractional-reserve banking expands the money
supply of the economy but also increases the risk that a bank cannot
meet its depositor withdrawals.[12][13]
Money creation
process
Main article:
Money creation
There are two types of money in a fractional-reserve banking system
operating with a central bank:[14][15][16]
- Central bank money: money created or adopted by the
central bank regardless of its form – precious metals, commodity
certificates, banknotes, coins, electronic money loaned to
commercial banks, or anything else the central bank chooses as its
form of money
- Commercial bank money: demand deposits in the commercial
banking system; sometimes referred to as "chequebook money"
When a deposit of central bank money is made at a commercial bank,
the central bank money is removed from circulation and added to the
commercial banks' reserves (it is no longer counted as part of
M1 money supply). Simultaneously, an equal amount of new commercial
bank money is created in the form of bank deposits. When a loan is made
by the commercial bank (which keeps only a fraction of the central bank
money as reserves), using the central bank money from the commercial
bank's reserves, the m1 money supply expands by the size of the loan.[3]
This process is called "deposit multiplication".
Example of deposit multiplication
The table below displays the relending model of how loans are funded
and how the money supply is affected. It also shows how central bank
money is used to create commercial bank money from an initial deposit of
$100 of central bank money. In the example, the initial deposit is lent
out 10 times with a fractional-reserve rate of 20% to ultimately create
$500 of commercial bank money (it is important to note that the 20%
reserve rate used here is for ease of illustration, actual
reserve requirements are usually a lot lower, for example
around 3% in the USA and UK). Each successive bank involved in this
process creates new commercial bank money on a diminishing portion of
the original deposit of central bank money. This is because banks only
lend out a portion of the central bank money deposited, in order to
fulfill reserve requirements and to ensure that they always have enough
reserves on hand to meet normal transaction demands.
The relending model begins when an initial $100 deposit of central
bank money is made into Bank A. Bank A takes 20 percent of it, or $20,
and sets it aside as reserves, and then loans out the remaining 80
percent, or $80. At this point, the money supply actually totals $180,
not $100, because the bank has loaned out $80 of the central bank money,
kept $20 of central bank money in reserve (not part of the money
supply), and substituted a newly created $100 IOU claim for the
depositor that acts equivalently to and can be implicitly redeemed
for central bank money (the depositor can transfer it to another
account, write a check on it, demand his cash back, etc.). These claims
by depositors on banks are termed demand deposits or
commercial bank money and are simply recorded in a bank's accounts
as a liability (specifically, an IOU to the depositor). From a
depositor's perspective, commercial bank money is equivalent to central
bank money – it is impossible to tell the two forms of money apart
unless a bank run occurs.[3]
At this point in the relending model, Bank A now only has $20 of
central bank money on its books. The loan recipient is holding $80 in
central bank money, but he soon spends the $80. The receiver of that $80
then deposits it into Bank B. Bank B is now in the same situation as
Bank A started with, except it has a deposit of $80 of central bank
money instead of $100. Similar to Bank A, Bank B sets aside 20 percent
of that $80, or $16, as reserves and lends out the remaining $64,
increasing money supply by $64. As the process continues, more
commercial bank money is created. To simplify the table, a different
bank is used for each deposit. In the real world, the money a bank lends
may end up in the same bank so that it then has more money to lend out.
Table Sources:
Individual Bank |
Amount Deposited |
Lent Out |
Reserves |
A |
100 |
80 |
20 |
B |
80 |
64 |
16 |
C |
64 |
51.20 |
12.80 |
D |
51.20 |
40.96 |
10.24 |
E |
40.96 |
32.77 |
8.19 |
F |
32.77 |
26.21 |
6.55 |
G |
26.21 |
20.97 |
5.24 |
H |
20.97 |
16.78 |
4.19 |
I |
16.78 |
13.42 |
3.36 |
J |
13.42 |
10.74 |
2.68 |
K |
10.74 |
|
|
|
|
|
Total Reserves: |
|
|
|
89.26 |
|
Total Amount of Deposits: |
Total Amount Lent Out: |
Total Reserves + Last Amount Deposited: |
|
457.05 |
357.05 |
100 |
The expansion of $100 of central bank money through
fractional-reserve lending with a 20% reserve rate. $400 of
commercial bank money is created virtually through loans.
Although no new money was physically created in addition to the
initial $100 deposit, new commercial bank money is created through
loans. The 2 boxes marked in red show the location of the original $100
deposit throughout the entire process. The total reserves plus the last
deposit (or last loan, whichever is last) will always equal the original
amount, which in this case is $100. As this process continues, more
commercial bank money is created. The amounts in each step decrease
towards a limit. If a graph is made showing the accumulation of
deposits, one can see that the graph is curved and approaches a limit.
This limit is the maximum amount of money that can be created with a
given reserve rate. When the reserve rate is 20%, as in the example
above, the maximum amount of total deposits that can be created is $500
and the maximum increase in the money supply is $400.
For an individual bank, the deposit is considered a
liability whereas the loan it gives out and the reserves are
considered
assets. Deposits will always be equal to loans plus a bank's
reserves, since loans and reserves are created from deposits. This is
the basis for a bank's
balance sheet. Fractional-reserve banking allows the money
supply to expand or contract. Generally the expansion or contraction of
the money supply is dictated by the balance between the rate of new
loans being created and the rate of existing loans being repaid or
defaulted on. The balance between these two rates can be influenced to
some degree by actions of the central bank.
Money multiplier
The expansion of $100 through fractional-reserve banking
with varying reserve requirements. Each curve approaches a
limit. This limit is the value that the "money multiplier'"
calculates.
The most common mechanism used to measure this increase in the money
supply is typically called the "money multiplier". It calculates the
maximum amount of money that an initial deposit can be expanded to with
a given reserve ratio.
Formula
The money multiplier, m, is the inverse of the reserve
requirement, R:[17]
-
- Example
For example, with the reserve ratio of 20 percent, this reserve
ratio, R, can also be expressed as a fraction:
-
So then the money multiplier, m, will be calculated as:
-
This number is multiplied by the initial deposit to show the maximum
amount of money it can be expanded to.
The money creation process is also affected by the currency drain
ratio (the propensity of the public to hold banknotes rather than
deposit them with a commercial bank), and the safety reserve ratio (excess
reserves beyond the legal requirement that commercial banks
voluntarily hold – usually a small amount). Data for "excess" reserves
and vault cash are published regularly by the Federal Reserve in the
United States.[18]
In practice, the actual money multiplier varies over time, and may be
substantially lower than the theoretical maximum.[19]
Money
supplies around the world
Components of US money supply (currency,
M1, M2, and M3) since 1959. In January 2007, the amount
of "central bank money" was $750.5 billion while the amount
of "commercial bank money" (in the M2 supply) was $6.33
trillion. M1 is currency plus demand deposits; M2 is M1 plus
time deposits, savings deposits, and some money-market
funds; and M3 is M2 plus large time deposits and other forms
of money. The M3 data ends in 2006 because
the federal reserve ceased reporting it.
Components of the euro money supply 1998–2007
Fractional-reserve banking determines the relationship between the
amount of "central bank money" in the official money supply statistics
and the total money supply. Most of the money in these systems is
"commercial bank money". Fractional-reserve banking allows the creation
of commercial bank money, which increases the money supply through the
deposit creation multiplier. The issue of money through the banking
system is a mechanism of monetary transmission, which a
central bank can influence indirectly by raising or lowering
interest rates (although banking regulations may also be adjusted to
influence the money supply, depending on the circumstances).
This table gives an outline of the makeup of
money supplies worldwide. Most of the money in any given money
supply consists of commercial bank money.[14]
The value of commercial bank money is based on the fact that it can be
exchanged freely at a bank for central bank money.[14][15]
The actual increase in the money supply through this process may be
lower, as (at each step) banks may choose to hold
reserves in excess of the statutory minimum, borrowers may let some
funds sit idle, and some members of the public may choose to hold cash,
and there also may be delays or frictions in the lending process.[20]
Government regulations may also be used to limit the money creation
process by preventing banks from giving out loans even though the
reserve requirements have been fulfilled.[21]
Regulation
Because the nature of fractional-reserve banking involves the
possibility of
bank
runs,
central banks have been created throughout the world to address
these problems.[8][22]
Central banks
Main article:
Central bank
Government controls and
bank regulations related to fractional-reserve banking have
generally been used to impose restrictive requirements on note issue and
deposit taking on the one hand, and to provide relief from bankruptcy
and creditor claims, and/or protect creditors with government funds,
when banks defaulted on the other hand. Such measures have included:
- Minimum
required reserve ratios (RRRs)
- Minimum
capital ratios
- Government bond deposit requirements for note issue
- 100% Marginal Reserve requirements for note issue, such as the
Bank Charter Act 1844 (UK)
- Sanction on bank defaults and protection from creditors for many
months or even years, and
- Central bank support for distressed banks, and government
guarantee funds for notes and deposits, both to counteract bank runs
and to protect bank creditors.
Reserve
requirements
The currently prevailing view of
reserve requirements is that they are intended to prevent banks
from:
- generating too much money by making too many loans against the
narrow money deposit base;
- having a shortage of cash when large deposits are withdrawn
(although the reserve is thought to be a legal minimum, it is
understood that in a crisis or
bank run, reserves may be made available on a temporary basis).
In practice, some central banks do not require reserves to be held,
and in some countries that do, such as the USA and the EU they are not
required to be held during the day when the banks are lending, and banks
can borrow from other banks at near the central bank policy rate to
ensure they have the necessary amount of required reserves by the close
of business. Required reserves are therefore considered by some
central bankers, monetary economists and textbooks to only play a very
small role in limiting money creation in these countries. Most
commentators agree however, that they help the banks have sufficient
supplies of highly liquid assets, so that the system operates in an
orderly fashion and maintains public confidence. The UK for example,
which does not have required reserves, does have requirements that the
banks keep a certain amount of cash, and in Australia while there are no
reserve requirements, there are a variety of requirements to
ensure the banks have a stabilising ratio of liquid assets, such as
deposits held with local banks. Individual countries adhere to varying
required reserve ratios which have changed over time.
In addition to reserve requirements, there are other required
financial ratios that affect the amount of loans that a bank can
fund. The
capital requirement ratio is perhaps the most important of these
other required ratios. When there are
no mandatory reserve requirements, which are considered by some
economists to restrict lending, the capital requirement ratio acts to
prevent an infinite amount of bank lending.
Liquidity and capital management for a bank
To avoid defaulting on its obligations, the bank must maintain a
minimal reserve ratio that it fixes in accordance with, notably,
regulations and its liabilities. In practice this means that the bank
sets a reserve ratio target and responds when the actual ratio falls
below the target. Such response can be, for instance:
- Selling or redeeming other assets, or
securitization of illiquid assets,
- Restricting investment in new loans,
- Borrowing funds (whether repayable on demand or at a fixed
maturity),
- Issuing additional
capital instruments, or
- Reducing
dividends.[citation
needed]
Because different funding options have different costs, and differ in
reliability, banks maintain a stock of low cost and reliable sources of
liquidity such as:
- Demand deposits with other banks
- High quality marketable debt securities
- Committed lines of credit with other banks[citation
needed]
As with reserves, other sources of liquidity are managed with
targets.
The ability of the bank to borrow money reliably and economically is
crucial, which is why confidence in the bank's creditworthiness is
important to its liquidity. This means that the bank needs to maintain
adequate capitalisation and to effectively control its exposures to risk
in order to continue its operations. If creditors doubt the bank's
assets are worth more than its liabilities, all demand creditors have an
incentive to demand payment immediately, causing a bank run to occur.[citation
needed]
Contemporary bank management methods for liquidity are based on
maturity analysis of all the bank's assets and liabilities (off balance
sheet exposures may also be included). Assets and liabilities are put
into residual contractual maturity buckets such as 'on demand', 'less
than 1 month', '2–3 months' etc. These residual contractual maturities
may be adjusted to account for expected counter party behaviour such as
early loan repayments due to borrowers refinancing and expected renewals
of term deposits to give forecast cash flows. This analysis highlights
any large future net outflows of cash and enables the bank to respond
before they occur. Scenario analysis may also be conducted, depicting
scenarios including stress scenarios such as a bank-specific crisis.[citation
needed]
Hypothetical example of a bank balance sheet and financial ratios
An example of fractional-reserve banking, and the calculation of the
"reserve ratio" is shown in the balance sheet below:
Example 2: ANZ National Bank Limited Balance
Sheet as at 30 September 2007[citation
needed] |
ASSETS |
NZ$m |
LIABILITIES |
NZ$m |
Cash |
201 |
Demand Deposits |
25482 |
Balance with Central Bank |
2809 |
Term Deposits and other borrowings |
35231 |
Other Liquid Assets |
1797 |
Due to Other Financial Institutions |
3170 |
Due from other Financial Institutions |
3563 |
Derivative financial instruments |
4924 |
Trading Securities |
1887 |
Payables and other liabilities |
1351 |
Derivative financial instruments |
4771 |
Provisions |
165 |
Available for sale assets |
48 |
Bonds and Notes |
14607 |
Net loans and advances |
87878 |
Related Party Funding |
2775 |
Shares in controlled entities |
206 |
[subordinated] Loan Capital |
2062 |
Current Tax Assets |
112 |
Total Liabilities |
99084 |
Other assets |
1045 |
Share Capital |
5943 |
Deferred Tax Assets |
11 |
[revaluation] Reserves |
83 |
Premises and Equipment |
232 |
Retained profits |
2667 |
Goodwill and other intangibles |
3297 |
Total Equity |
8703 |
Total Assets |
107787 |
Total Liabilities plus Net Worth |
107787 |
In this example the cash reserves held by the bank is NZ$3010m
(NZ$201m Cash + NZ$2809m Balance at Central Bank) and the Demand
Deposits (liabilities) of the bank are NZ$25482m, for a cash reserve
ratio of 11.81%.
Other
financial ratios
The key
financial ratio used to analyze fractional-reserve banks is the
cash reserve ratio, which is the ratio of cash reserves to demand
deposits. However, other important financial ratios are also used to
analyze the bank's liquidity, financial strength, profitability etc.
For example the ANZ National Bank Limited balance sheet above gives
the following financial ratios:
- The cash reserve ratio is $3010m/$25482m, i.e. 11.81%.
- The liquid assets reserve ratio is
($201m+$2809m+$1797m)/$25482m, i.e. 18.86%.
- The equity capital ratio is $8703m/107787m, i.e. 8.07%.
- The tangible equity ratio is ($8703m-$3297m)/107787m, i.e. 5.02%
- The total capital ratio is ($8703m+$2062m)/$107787m, i.e. 9.99%.
It is very important how the term 'reserves' is defined for
calculating the reserve ratio, as different definitions give different
results. Other important financial ratios may require analysis of
disclosures in other parts of the bank's financial statements. In
particular, for
liquidity risk, disclosures are incorporated into a note to the
financial statements that provides maturity analysis of the bank's
assets and liabilities and an explanation of how the bank manages its
liquidity.
How the example bank manages its liquidity
The ANZ National Bank Limited explains its methods as:[citation
needed]
Liquidity risk is the risk that the Banking Group will encounter
difficulties in meeting commitments associated with its
financial liabilities, e.g. overnight deposits, current
accounts, and maturing deposits; and future commitments e.g.
loan draw-downs and guarantees. The Banking Group manages its
exposure to liquidity risk by maintaining sufficient liquid
funds to meet its commitments based on historical and forecast
cash flow requirements.
The following maturity analysis of assets and liabilities has
been prepared on the basis of the remaining period to
contractual maturity as at the balance date. The majority of
longer term loans and advances are housing loans, which are
likely to be repaid earlier than their contractual terms.
Deposits include substantial customer deposits that are
repayable on demand. However, historical experience has shown
such balances provide a stable source of long term funding for
the Banking Group. When managing liquidity risks, the Banking
Group adjusts this contractual profile for expected customer
behaviour.
Example 2: ANZ National Bank Limited Maturity
Analysis of Assets and Liabilities as at 30 September 2007[citation
needed] |
|
Total carrying value |
Less than 3 months |
3–12 months |
1–5 years |
Beyond 5 years |
No Specified Maturity |
Assets |
|
|
|
|
|
|
Liquid Assets |
4807 |
4807 |
|
|
|
|
Due from other financial institutions |
3563 |
2650 |
440 |
187 |
286 |
|
Derivative Financial Instruments |
4711 |
|
|
|
|
4711 |
Assets available for sale |
48 |
33 |
1 |
13 |
|
1 |
Net loans and advances |
87878 |
9276 |
9906 |
24142 |
44905 |
Other Assets |
4903 |
970 |
179 |
|
|
3754 |
Total Assets |
107787 |
18394 |
10922 |
25013 |
45343 |
8115 |
Liabilities |
|
|
|
|
|
|
Due to other financial institutions |
3170 |
2356 |
405 |
32 |
377 |
|
Deposits and other borrowings |
70030 |
53059 |
14726 |
2245 |
|
|
Derivative financial instruments |
4932 |
|
|
|
|
4932 |
Other liabilities |
1516 |
1315 |
96 |
32 |
60 |
13 |
Bonds and notes |
14607 |
672 |
4341 |
9594 |
|
|
Related party funding |
2275 |
2275 |
|
|
|
|
Loan capital |
2062 |
|
100 |
1653 |
309 |
|
Total liabilities |
99084 |
60177 |
19668 |
13556 |
746 |
4937 |
Net liquidity gap |
8703 |
(41783) |
(8746) |
11457 |
44597 |
3178 |
Net liquidity gap – cumulative |
8703 |
(41783) |
(50529) |
(39072) |
5525 |
8703 |
Criticisms
Critics of fractional-reserve banking and proposals for
monetary reform have included economists such as
Irving Fisher[23]
and
Frank Knight.[24]
U.S. Congressman
Ron
Paul and
Austrian School economist
Murray Rothbard have identified fractional-reserve banking,
central banking, and
fiat currency as interdependent and destructive features of modern
monetary systems.[25][26]
In Rothbard's analysis, the practice of fractional-reserve banking
amounts to a form of
fraud,
embezzlement or legalized
counterfeiting.[27][28]