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Main article: "Fractional-reserve banking
The different forms of money in government money supply statistics arise from the practice of "fractional-reserve banking. Whenever a bank gives out a loan in a fractional-reserve banking system, a new sum of money is created. This new type of money is what makes up the non-M0 components in the M1-M3 statistics. In short, there are two types of money in a fractional-reserve banking system:
- central bank money (obligations of a central bank, including currency and central bank depository accounts)
- commercial bank money (obligations of commercial banks, including checking accounts and savings accounts)
In the money supply statistics, central bank money is MB while the commercial bank money is divided up into the M1-M3 components. Generally, the types of commercial bank money that tend to be valued at lower amounts are classified in the narrow category of M1 while the types of commercial bank money that tend to exist in larger amounts are categorized in M2 and M3, with M3 having the largest.
In the United States, a bank's reserves consist of U.S. currency held by the bank (also known as "vault cash") plus the bank's balances in Federal Reserve accounts. For this purpose, paper currency on hand and balances in Fed accounts are interchangeable (both are obligations of the Fed). Reserves may come from any source, including the "federal funds market, deposits by the public, and borrowing from the Fed itself.
A reserve requirement is a ratio a bank must maintain between deposit liabilities and reserves. Reserve requirements do not apply to the amount of money a bank may lend out. The ratio that applies to bank lending is its "capital requirement.
Note: The examples apply when read in sequential order.
- Laura has ten US $100 bills, representing $1000 in the M0 supply for the United States. (MB = $1000, M0 = $1000, M1 = $1000, M2 = $1000)
- Laura "burns one of her $100 bills. The US M0, and her personal net worth, just decreased by $100. (MB = $900, M0 = $900, M1 = $900, M2 = $900)
- Laura takes the remaining nine bills and deposits them in her "transactional account (checking account or current account by country) at her bank. (MB = $900, M0 = 0, M1 = $900, M2 = $900)
- The bank then calculates its reserve using the minimum reserve percentage given by the Fed and loans the extra money. If the minimum reserve is 10%, this means $90 will remain in the bank's reserve. The remaining $810 can only be used by the bank as credit, by lending money, but until that happens it will be part of the bank's "excess reserves.
- The M1 money supply increases by $810 when the loan is made. M1 money is created. (MB = $900 M0 = 0, M1 = $1710, M2 = $1710)
- Laura writes a check for $400, check number 7771. The total M1 money supply didn't change, it includes the $400 check and the $500 left in her account. (MB = $900, M0 = 0, M1 = $1710, M2 = $1710)
- Laura's check number 7771 is accidentally destroyed in the laundry. M1 and her checking account do not change, because the check is never cashed. (MB = $900, M0 = 0, M1 = $1710, M2 = $1710)
- Laura writes check number 7772 for $100 to her friend Alice, and Alice deposits it into her checking account. MB does not change, it still has $900 in it, Alice's $100 and Laura's $800. (MB = $900, M0 = 0, M1 = $1710, M2 = $1710)
- The bank lends Mandy the $810 credit that it has created. Mandy deposits the money in a checking account at another bank. The other bank must keep $81 as a reserve and has $729 available for loans. This creates a promise-to-pay money from a previous promise-to-pay, thus the M1 money supply is now inflated by $729. (MB = $900, M0 = 0, M1 = $2439, M2 = $2439)
- Mandy's bank now lends the money to someone else who deposits it on a checking account on yet another bank, who again stores 10% as reserve and has 90% available for loans. This process repeats itself at the next bank and at the next bank and so on, until the money in the reserves backs up an M1 money supply of $9000, which is 10 times the MB money. (MB = $900, M0 = 0, M1 = $9000, M2 = $9000)
- Laura writes check number 7774 for $1000 and brings it to the bank to start a Money Market account (these do not have a credit-creating charter), M1 goes down by $1000, but M2 stays the same. This is because M2 includes the Money Market account in addition to all money counted in M1.
- Laura writes check number 7776 for $200 and brings it downtown to a foreign exchange bank teller at Credit Suisse to convert it to British pounds. On this particular day, the exchange rate is exactly USD 2.00 = GBP 1.00. The bank Credit Suisse takes her $200 check, and gives her two £50 notes (and charges her a dollar for the service fee). Meanwhile, at the Credit Suisse branch office in Hong Kong, a customer named Huang has £100 and wants $200, and the bank does that trade (charging him an extra £.50 for the service fee). US M0 still has the $900, although Huang now has $200 of it. The £50 notes with which Laura walks off are part of Britain's M0 money supply that came from Huang.
- The next day, Credit Suisse finds it has an excess of GB pounds and a shortage of US dollars, determined by adding up all the branch offices' supplies. It sells some of its GBP on the open "FX market to Deutsche Bank, which has the opposite problem. The exchange rate stays the same.
- The day after that, both Credit Suisse and Deutsche Bank find they have too many GBP and not enough USD, along with other traders. Then, to move their inventories, they have to sell GBP at USD 1.999, that is, 1/10-cent less than $2 per pound, and the exchange rate shifts. None of these banks has the power to increase or decrease the British M0 or the American M0 (unless they burn bills); they are independent systems.
Money supplies around the world
United States 
The Federal Reserve previously published data on three monetary aggregates, but on November 10, 2005 announced that as of March 23, 2006 it would cease publication of M3. Since the spring of 2006 the Federal Reserve has only published data on two of these aggregates. The first, M1, is made up of types of money commonly used for payment, basically currency (M0) and checking account balances. The second, M2, includes M1 plus balances that generally are similar to transaction accounts and that, for the most part, can be converted fairly readily to M1 with little or no loss of principal. The M2 measure is thought to be held primarily by households. As mentioned, the third aggregate, M3 is no longer published. Prior to this discontinuation, M3 had included M2 plus certain accounts that are held by entities other than individuals and are issued by banks and thrift institutions to augment M2-type balances in meeting credit demands; it had also included balances in money market mutual funds held by institutional investors. The aggregates have had different roles in monetary policy as their reliability as guides has changed. The following details their principal components:
- M0: The total of all physical currency including coinage. M0 = "Federal Reserve Notes + "US Notes + "Coins. It is not relevant whether the currency is held inside or outside of the private banking system as reserves.
- MB: The total of all physical currency plus "Federal Reserve Deposits (special deposits that only banks can have at the Fed). MB = "Coins + "US Notes + "Federal Reserve Notes + "Federal Reserve Deposits
- M1: The total amount of M0 (cash/coin) outside of the private banking system plus the amount of "demand deposits, "travelers checks and "other checkable deposits
- M2: M1 + most "savings accounts, "money market accounts, retail "money market mutual funds, and small denomination time deposits ("certificates of deposit of under $100,000).
- MZM: 'Money Zero Maturity' is one of the most popular aggregates in use by the Fed because its "velocity has historically been the most accurate predictor of "inflation. It is M2 – time deposits + money market funds
- M3: M2 + all other "CDs (large time deposits, institutional money market mutual fund balances), deposits of "eurodollars and "repurchase agreements.
- M4-: M3 + "Commercial Paper
- M4: M4- + "T-Bills (or M3 + Commercial Paper + "T-Bills)
- L: The broadest measure of liquidity, that the Federal Reserve no longer tracks. L is very close to M4 + "Bankers' Acceptance
- Money Multiplier: M1 / MB. As of December 3, 2015 it was .756. While a multiplier under one is historically an oddity, this is a reflection of the popularity of M2 over M1 and the massive amount of MB the government has created since 2008.
It should be noted that while the Treasury can and does hold cash and a special deposit account at the Fed (fed funds), these assets do not count in any of the aggregates. So in essence, money paid in taxes paid to the Federal Government (Treasury) is excluded from the money supply. To counter this, the government created the "Treasury Tax and Loan (TT&L) program in which any receipts above a certain threshold are redeposited in private banks. The idea is that tax receipts won't decrease the amount of reserves in the banking system. The TT&L accounts, while demand deposits, do not count toward M1 or any other aggregate either.
When the Federal Reserve announced in 2005 that they would cease publishing M3 statistics in March 2006, they explained that M3 did not convey any additional information about economic activity compared to M2, and thus, "has not played a role in the monetary policy process for many years." Therefore, the costs to collect M3 data outweighed the benefits the data provided. Some politicians have spoken out against the Federal Reserve's decision to cease publishing M3 statistics and have urged the U.S. Congress to take steps requiring the Federal Reserve to do so. Congressman "Ron Paul (R-TX) claimed that "M3 is the best description of how quickly the Fed is creating new money and credit. Common sense tells us that a government central bank creating new money out of thin air depreciates the value of each dollar in circulation." "Modern Monetary Theory disagrees. It holds that money creation in a free-floating "fiat currency regime such as the U.S. will not lead to significant inflation unless the economy is approaching full employment and full capacity. Some of the data used to calculate M3 are still collected and published on a regular basis. Current alternate sources of M3 data are available from the private sector.
As of April 2013, the "monetary base was $3 trillion and M2, the broadest measure of money supply, was $10.5 trillion.
There are just two official UK measures. M0 is referred to as the "wide "monetary base" or "narrow money" and M4 is referred to as ""broad money" or simply "the money supply".
- M0: Cash outside "Bank of England + banks' operational deposits with Bank of England. (No longer published.)
- M4: Cash outside banks (i.e. in circulation with the public and non-bank firms) + private-sector retail bank and building society deposits + private-sector wholesale bank and building society deposits and certificates of deposit. In 2010 the total money supply (M4) measure in the UK was £2.2 trillion while the actual notes and coins in circulation totalled only £47 billion, 2.1% of the actual money supply.
There are several different definitions of money supply to reflect the differing stores of money. Owing to the nature of bank deposits, especially time-restricted savings account deposits, M4 represents the most "illiquid measure of money. M0, by contrast, is the most liquid measure of the money supply.
money supply from 1998–2007.
The "European Central Bank's definition of euro area monetary aggregates:
- M1: Currency in circulation + overnight deposits
- M2: M1 + deposits with an agreed maturity up to 2 years + deposits redeemable at a period of notice up to 3 months.
- M3: M2 + repurchase agreements + money market fund (MMF) shares/units + debt securities up to 2 years
The money supply of Australia 1984–2016
The "Reserve Bank of Australia defines the monetary aggregates as:
- M1: currency plus bank current deposits from the private non-bank sector
- M3: M1 + all other bank deposits from the private non-bank sector, plus bank certificate of deposits, less inter-bank deposits
- Broad Money: M3 + borrowings from the private sector by NBFIs, less the latter's holdings of currency and bank deposits
- Money Base: holdings of notes and coins by the private sector plus deposits of banks with the Reserve Bank of Australia (RBA) and other RBA liabilities to the private non-bank sector
The "Reserve Bank of New Zealand defines the monetary aggregates as:
- M1: notes and coins held by the public plus chequeable deposits, minus inter-institutional chequeable deposits, and minus central government deposits
- M2: M1 + all non-M1 call funding (call funding includes overnight money and funding on terms that can of right be broken without break penalties) minus inter-institutional non-M1 call funding
- M3: the broadest monetary aggregate. It represents all New Zealand dollar funding of M3 institutions and any Reserve Bank repos with non-M3 institutions. M3 consists of notes & coin held by the public plus NZ dollar funding minus inter-M3 institutional claims and minus central government deposits
Components of the money supply of "India
in billions of "Rupee
The "Reserve Bank of India defines the monetary aggregates as:
- Reserve Money (M0): Currency in circulation + Bankers’ deposits with the RBI + ‘Other’ deposits with the RBI = Net RBI credit to the Government + RBI credit to the commercial sector + RBI’s claims on banks + RBI’s net foreign assets + Government’s currency liabilities to the public – RBI’s net non-monetary liabilities.
- M1: Currency with the public + Deposit money of the public (Demand deposits with the banking system + ‘Other’ deposits with the RBI).
- M2: M1 + Savings deposits with Post office savings banks.
- M3: (Broad concept of money supply)M1+ Time deposits with the banking system = Net bank credit to the Government + Bank credit to the commercial sector + Net foreign exchange assets of the banking sector + Government’s currency liabilities to the public – Net non-monetary liabilities of the banking sector (Other than Time Deposits).
- M4: M3 + All deposits with post office savings banks (excluding National Savings Certificates).
In 1967, when sterling was devalued, the dollar's peg to the pound was increased from 1 shilling 3 pence to 1 shilling 4½ pence (14.5455 dollars = 1 pound) although this did not entirely offset the devaluation. In 1972 the "Hong Kong dollar was pegged to the U.S. dollar at a rate of 5.65 H.K. dollar = 1 U.S. dollar. This was revised to 5.085 H.K. dollar = 1 U.S. dollar in 1973. Between 1974 and 1983 the Hong Kong dollar was floated. On 17 October 1983 the currency was pegged at a rate of 7.8 H.K. dollar = 1 U.S. dollar, through the currency board system.
As of 18 May 2005, in addition to the lower guaranteed limit, a new upper guaranteed limit was set for the Hong Kong dollar at 7.75 to the American dollar. The lower limit was lowered from 7.80 to 7.85 (by 100 pips per week from 23 May to 20 June 2005). The "Hong Kong Monetary Authority indicated that this move was to narrow the gap between the interest rates in Hong Kong and those of the United States. A further aim of allowing the Hong Kong dollar to trade in a range is to avoid the HK dollar being used as a proxy for speculative bets on a "renminbi revaluation.
The "Hong Kong Basic Law and the "Sino-British Joint Declaration provides that Hong Kong retains full autonomy with respect to currency issuance. Currency in Hong Kong is issued by the government and three local banks under the supervision of the territory's de facto central bank, the Hong Kong Monetary Authority. Bank notes are printed by "Hong Kong Note Printing.
A bank can issue a Hong Kong dollar only if it has the equivalent exchange in US dollars on deposit. The currency board system ensures that Hong Kong's entire monetary base is backed with US dollars at the linked exchange rate. The resources for the backing are kept in Hong Kong's exchange fund, which is among the largest official reserves in the world. Hong Kong also has huge deposits of US dollars, with official foreign currency reserves of 331.3 billion USD as of September 2014
money supply (April 1998 – April 2008)
The "Bank of Japan defines the monetary aggregates as:
- M1: cash currency in circulation + deposit money
- M2 + CDs: M1 + "quasi-money + CDs
- M3 + CDs: (M2 + CDs) + deposits of post offices + other savings and deposits with financial institutions + money trusts
- Broadly defined liquidity: (M3 + CDs) + money market + pecuniary trusts other than money trusts + investment trusts + bank debentures + commercial paper issued by financial institutions + repurchase agreements and "securities lending with cash collateral + government bonds + foreign bonds
Link with inflation
Monetary exchange equation
Money supply is important because it is linked to inflation by the "equation of exchange in an equation proposed by Irving Fisher in 1911:
- is the total dollars in the nation’s money supply,
- is the number of times per year each dollar is spent (velocity of money),
- is the average price of all the goods and services sold during the year,
- is the quantity of assets, goods and services sold during the year.
In mathematical terms, this equation is really an "identity which is true by definition rather than describing economic behavior. That is, each term is defined by the values of the other three. Unlike the other terms, the velocity of money has no independent measure and can only be estimated by dividing PQ by M. "Some adherents of the quantity theory of money assume that the velocity of money is stable and predictable, being determined mostly by financial institutions. If that assumption is valid then changes in M can be used to predict changes in PQ. If not, then a model of V is required in order for the equation of exchange to be useful as a macroeconomics model or as a predictor of prices.
Most macroeconomists replace the equation of exchange with equations for the "demand for money which describe more regular and predictable economic behavior. However, predictability (or the lack thereof) of the velocity of money is equivalent to predictability (or the lack thereof) of the demand for money (since in equilibrium real money demand is simply Q/V). Either way, this unpredictability made policy-makers at the "Federal Reserve rely less on the money supply in steering the U.S.economy. Instead, the policy focus has shifted to "interest rates such as the "fed funds rate.
In practice, macroeconomists almost always use real GDP to measure Q, omitting the role of all transactions except for those involving newly produced goods and services (i.e., consumption goods, investment goods, government-purchased goods, and exports). But the original quantity theory of money did not follow this practice: PQ was the monetary value of all new transactions, whether of real goods and services or of paper assets.
The monetary value of assets, goods, and services sold during the year could be grossly estimated using nominal GDP back in the 1960s. This is not the case anymore because of the dramatic rise of the number of financial transactions relative to that of real transactions up until 2008. That is, the total value of transactions (including purchases of paper assets) rose relative to nominal GDP (which excludes those purchases).
Ignoring the effects of monetary growth on real purchases and velocity, this suggests that the growth of the money supply may cause different kinds of inflation at different times. For example, rises in the U.S. money supplies between the 1970s and the present encouraged first a rise in the inflation rate for newly produced goods and services ("inflation" as usually defined) in the seventies and then asset-price inflation in later decades: it may have encouraged a stock market boom in the '80s and '90s and then, after 2001, a rise in home prices, i.e., the famous "housing bubble. This story, of course, assumes that the amounts of money were the causes of these different types of inflation rather than being endogenous results of the economy's dynamics.
When home prices went down, the Federal Reserve kept its loose monetary policy and lowered interest rates; the attempt to slow price declines in one asset class, e.g. real estate, may well have caused prices in other asset classes to rise, e.g. commodities.
Rates of growth
In terms of percentage changes (to a close approximation under small growth rates, the percentage change in a product, say XY, is equal to the sum of the percentage changes %ΔX + %ΔY). So:
- %ΔP + %ΔQ = %ΔM + %ΔV
That equation rearranged gives the "basic inflation identity":
- %ΔP = %ΔM + %ΔV – %ΔQ
Inflation (%ΔP) is equal to the rate of money growth (%ΔM), plus the change in velocity (%ΔV), minus the rate of output growth (%ΔQ). As before, this equation is only useful if %ΔV follows regular behavior. It also loses usefulness if the central bank lacks control over %ΔM.
Bank reserves at central bank
||The examples and perspective in this section may not represent a "worldwide view of the subject. (June 2010)
When a "central bank is "easing", it triggers an increase in money supply by purchasing "government securities on the open market thus increasing available funds for private banks to lend out through "fractional-reserve banking (the issue of new money through loans) and thus the amount of bank reserves and the monetary base rise. By purchasing government bonds (e.g., "U.S. Treasury bills), this bids up their prices, so that interest rates fall at the same time that the monetary base increases.
With "easy money," the central bank creates new "bank reserves (in the US known as ""federal funds"), which allow the banks to lend more. These loans get spent, and the proceeds get deposited at other banks. Whatever is not required to be held as reserves is then lent out again, and through the "multiplying" effect of the fractional-reserve system, loans and bank deposits go up by many times the initial injection of reserves.
In contrast, when the central bank is "tightening", it slows the process of private bank issue by selling securities on the open market and pulling money (that could be loaned) out of the private banking sector. By increasing the supply of bonds, this lowers their prices and raises interest rates at the same time that the money supply is reduced.
This kind of policy reduces or increases the supply of short term government debt in the hands of banks and the non-bank public, lowering or raising interest rates. In parallel, it increases or reduces the supply of loanable funds (money) and thereby the ability of private banks to issue new money through issuing debt.
The simple connection between monetary policy and monetary aggregates such as M1 and M2 changed in the 1970s as the reserve requirements on deposits started to fall with the emergence of "money funds, which require no reserves. Then in the early 1990s, reserve requirements, for example in "Canada, were dropped to zero on "savings deposits, "CDs, and "Eurodollar deposit. At present, reserve requirements apply only to ""transactions deposits" – essentially "checking accounts. The vast majority of funding sources used by private banks to create loans are not limited by bank reserves. Most commercial and industrial loans are financed by issuing large denomination "CDs. "Money market deposits are largely used to lend to corporations who issue "commercial paper. Consumer loans are also made using "savings deposits, which are not subject to reserve requirements. This means that instead of the amount of loans supplied responding passively to monetary policy, we often see it rising and falling with the demand for funds and the willingness of banks to lend.
Some economists argue that the money multiplier is a meaningless concept, because its relevance would require that the money supply be "exogenous, i.e. determined by the monetary authorities via open market operations. If central banks usually target the shortest-term interest rate (as their policy instrument) then this leads to the money supply being "endogenous.
||This article needs to be updated. (March 2009)
Neither commercial nor consumer loans are any longer limited by bank reserves. Nor are they directly linked proportional to reserves. Between 1995 and 2008, the amount of consumer loans has steadily increased out of proportion to bank reserves. Then, as part of the financial crisis, bank reserves rose dramatically as new loans shrank.
In recent years, some academic economists renowned for their work on the implications of "rational expectations have argued that open market operations are irrelevant. These include "Robert Lucas, Jr., "Thomas Sargent, "Neil Wallace, "Finn E. Kydland, "Edward C. Prescott and "Scott Freeman. "Keynesian economists point to the ineffectiveness of open market operations in 2008 in the United States, when short-term interest rates went as low as they could go in nominal terms, so that no more monetary stimulus could occur. This zero bound problem has been called the "liquidity trap or ""pushing on a string" (the pusher being the central bank and the string being the real economy).
Historically, in Europe, the main function of the "central bank is to maintain low inflation. In the USA the focus is on both inflation and unemployment . These goals are sometimes in conflict (according to "Phillips curve). A central bank may attempt to do this by artificially influencing the demand for goods by increasing or decreasing the nation's money supply (relative to trend), which lowers or raises interest rates, which stimulates or restrains spending on goods and services.
An important debate among economists in the second half of the twentieth century concerned the central bank's ability to predict how much money should be in circulation, given current employment rates and inflation rates. Economists such as "Milton Friedman believed that the central bank would always get it wrong, leading to wider swings in the economy than if it were just left alone. This is why they advocated a non-interventionist approach—one of targeting a pre-specified path for the money supply independent of current economic conditions— even though in practice this might involve regular intervention with "open market operations (or other monetary-policy tools) to keep the money supply on target.
The former Chairman of the U.S. Federal Reserve, "Ben Bernanke, suggested in 2004 that over the preceding 10 to 15 years, many modern central banks became relatively adept at manipulation of the money supply, leading to a smoother business cycle, with recessions tending to be smaller and less frequent than in earlier decades, a phenomenon termed ""The Great Moderation" This theory encountered criticism during the "global financial crisis of 2008–2009. Furthermore, it may be that the functions of the central bank may need to encompass more than the shifting up or down of interest rates or bank reserves : these tools, although valuable, may not in fact moderate the volatility of money supply (or its velocity).
Impact of digital currencies and possible transition to a cashless society
Cashless society and "Digital currency
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