The monetary system

The monetary system

Données clés

Professeur(s)	Sbergami, Federica Nicolas Maystre
Cours	Introduction à la macroéconomie

Lectures

• Aspects introductifs de la macroéconomie
• Le Produit Intérieur Brut (PIB)
• L'indice des prix à la consommation (IPC)
• Production et croissance économique
• Chômage
• Marché financier
• Le système monétaire
• Croissance monétaire et inflation
• La macroéconomie ouverte : concepts de base
• La macroéconomie ouverte: le taux de change
• Equilibre en économie ouverte
• L'approche keynésienne et le modèle IS-LM
• Demande et offre agrégée
• L'impact des politiques monétaires et fiscales
• Trade-off entre inflation et chômage
• La réaction à la crise financière de 2008 et la coopération internationale

Languages

Français

Types of currency

The functions of money

Currency is the stock of assets that can be readily mobilized for transactions.

Beware of common parlance:

• "Have money" or "pay in cash" refers to cash. Around 10% of money is made up of cash.
• "Having money" or "earning a lot of money" refers to wealth or income. However, money is not wealth (assets or fortune) nor is it income.

It essentially has three functions:

• Reserve value (money is a means of transferring purchasing power from the present to the future).
• Unit of account (the unit of account by which economic transactions are measured).
• Intermediary of exchange (means used to purchase goods and services). In a barter economy, exchange requires the double coincidence of needs and economic agents can carry out only simple transactions. Money makes more indirect exchanges possible and reduces transaction costs.

Liquidity: the ease with which an asset can be converted into the medium of exchange of the economic system. Currency = the most liquid asset of all.

Types of currency

Money can be seen as a good with important positive externalities. The more people who accept it, the more useful it is for each individual.

Commodity money: most societies of the past used one or the other good with an intrinsic value (example: gold, but also camels, furs, salt... as the case may be).

'Fiduciary money (or fiat money): (Tangible) money devoid of any intrinsic value and which owes its status as money to the fact that the State has conferred legal tender on it (all metal coins and banknotes in circulation).

scriptural money: intangible money, represented by an accounting entry that can be transformed into fiduciary money at any time (all assets held at the bank or post office).

NB: Credit cards are simple media allowing the transfer of scriptural money over time.

Monetary aggregates

How is currency measured? Four types of monetary aggregates :

Normally "money" is understood to mean the aggregate M1. M0 (or, hereafter, H) is also referred to as the monetary base.

Monetary aggregates: euro area

Les trois mesures du stock de monnaie dans la zone EURO en 2005 (MT).

Central banks and the money supply

History of money and banking

The history of money is intimately linked to that of the banks (see video).

From the XVIth-XVIIth century :

• Depositing gold with a goldsmith to protect it from theft → received.
• Use of receipts as a means of payment (beginning of fiat money).
• Loan of gold on deposit against interest → goldsmiths become bankers.
• For each gold bullion, issuing several notes → confidence in the repayment ability of the goldsmiths-bankers → reserves.
• Increase of reserves against the risk of bankruptcies and creation of national banks controlling the issue of banknotes which were granted legal tender status.

Until the First World War metal banknotes were convertible at the issuing institute at a rate established by the central bank (gold standard system). Convertibility was abandoned in the 1920s (coins and banknotes have a value conferred on them by general agreement, but no intrinsic value and they can no longer be exchanged for gold).

The role of central banks

In most countries, the quantity of money available (money supply) is controlled by the state and its supervision is delegated to an institution more or less independent of political power: the central bank. Central banks:

(i)supervise the banking system and

(ii) ensure the stability of the monetary system by regulating the quantity of money in circulation in the economy and thereby influencing interest rates and sometimes the exchange rate.

These instruments may affect inflation and the levels of output and employment in the short term, as will be discussed in the following chapters.

The set of actions put in place by the central bank to influence the money supply and to supervise the proper functioning of the monetary system constitutes monetary policy.

The European Central Bank and the Eurosystem

The European Central Bank (ECB), located in Frankfurt, Germany, was created on June 1, 1998 by the 12 European countries (then 11, now 17) that make up the European Monetary Union, i.e. the 12 countries that have decided to adopt a single currency (the euro) and a common monetary policy.

The ECB and all the central banks of the European Union Member States that have adopted the euro make up the Eurosystem.

The main objective of the ECB is to promote financial and price stability in order to ensure non-inflationary growth.

The ECB is supposed to be independent of political power.

The Bank of England and the Federal Reserve

The Bank of England is the central bank of the United Kingdom. Established in 1694, it obtained independence in interest rate management only in 1997. As with the ECB, the main objective of the Bank of England is to promote price stability, but it is the government that defines this objective in concrete terms.

The Federal Reserve is the central bank of the United States. Created in 1913, the "FED", is composed of a board of governors (of which Ben Bernanke is the president, since 2006), the Federal Open Market Committee (FOMC), twelve regional banks (Federal Reserve Banks). The FOMC is the committee responsible for monetary policy and is made up of the seven members of the Board of Governors and the twelve presidents of the regional banks (of which only five have voting rights at any given time).

Role of the money supply

The size of the money supply is expected to change in line with the quantity of transactions taking place on the market, i.e. in line with the development of GDP (= proxy of the volume of transactions).

As will become clearer in the rest of our lecture, when money supply and GDP do not move at the same pace or in the same direction, this is when economic problems (inflation, unemployment) may begin to arise.

Central banks therefore undertake monetary policy actions aimed at influencing the evolution of the money supply. Measuring the money supply therefore enables the BC (Central Bank) to know whether it is necessary to act on the quantity of money available in the economy in the event of imbalances (inflation in particular).

But: the quantity of money in circulation in the economic system is greater than the monetary base, which is directly controlled by the CB ($M1>H$) and, to understand its evolution, it is also necessary to analyse the role played by the commercial banks...

Central bank instruments

THREE MAIN TOOLS

Central banks govern the amount of currency in circulation in the country through money market interventions (open-market operations), which involve buying or selling government bonds (or other non-monetary assets):

If selling bonds → reduction of the money supply.

If buying → bonds, increase the supply of money.

Central banks also control the activities of commercial banks, especially the issuance of book money, by means of the discount rate and the reserve requirement ratio.

The central bank's balance sheet

The central bank is a true bank of banks: its main customers are commercial banks (and not households or companies): it provides them with banknotes and scriptural money and manages interbank payments on their giro accounts.

Bilan simplifié d’une banque centrale (Par convention on inscrit dans la partie gauche du bilan les avoirs (actifs) et dans la partie droite les engagements (passifs).)

Creation of the monetary base

The monetary base (= asset or liability on the CB's balance sheet) is the currency issued by the central bank (coins and banknotes) + giro accounts. It is directly under the control of the BC.

The central bank exchanges banknotes (or giro account assets) with commercial banks only as a counterpart:

• gold
• of foreign currency (foreign currency)
• of acknowledgements of debt (the bank makes credit)

BC therefore buys gold, foreign currency or securities with its currency (constitution of reserves). It never provides secondary banks with currency without a counterpart. By building up reserves, the BC therefore gives itself the means to recover the currency it has issued at a later date, i.e. either :

• by selling its assets (gold or foreign exchange)
• by getting the loans made to the banks reimbursed...

Constitution of reserves → increase in the supply of money Dissolution of reserves → decrease in the supply of money.

Commercial banks and the supply of money

The amount of money in circulation is influenced by the central bank's interventions in the asset market and its control over commercial banks and also by the commercial banks' decisions on deposits and loans to their customers.

At any given time commercial banks must hold a certain fraction of the deposits received as reserves and they can lend the rest, thereby creating (scriptural) money → reinjecting money into the system.

The fraction of the amount of deposits that banks are obliged to hold in the form of reserve requirements is the reserve requirement ratio. This coefficient is set by the central bank and can be changed according to the needs of monetary policy. NB: the effective reserve ratio of banks does not necessarily coincide with the reserve requirement ratio (banks may hold more reserves than those imposed by the central bank).

The balance sheet of commercial banks

The financial position of banks at a given point in time is summarized in their balance sheets. By convention, the assets (assets) are shown on the left side of the balance sheet and the liabilities (liabilities) on the right side.

Bilan simplifié d’une banque commerciale.

Bank Money Creation and the Money Multiplier

The creation of scriptural money is exercised through the mechanism of credit: each time a bank that has excess reserves uses them to make credits, scriptural money is created. In general, the credits in turn give rise to deposits that make it possible to make new credits (once the required reserves have been subtracted) → phenomenon of multiplication of credits and deposits.

The Credit Multiplication Mechanism

1. Banks are assumed to have only sight deposits and the amount of reserves covers their holdings of cash and giro accounts. Furthermore, in the initial situation, the bank $A$ has no excess reserves. Furthermore, the reserve requirement ratio, r = 20%.

2. Now suppose that the central bank decides to increase the monetary base by repurchasing securities from the bank $A$ (for an amount of 100) and credits the giro accounts of the bank $A$ as a counterpart.

3. The bank $A$ uses its surplus reserves to make new loans (for an amount of 100). This has two consequences:

a) The granting of loans leads to new deposits (by hypothesis, there is no transformation of scriptural money into cash at the moment).

b) The creation of new deposits requires an increase in reserve requirements.

4. The remainder of the excess reserves give rise to new loans amounting to 80. Again, there is no loss of reserves, but the creation of money and the transformation of excess reserves into required reserves.

5. The process may continue until there are no more excess reserves, i.e. until all initial excess reserves have been transformed into required reserves. The result is :

Total money supply (maximum)

$$=100+80+64+51.2+...=100[1+(1-0.2)+(1-0.2)2+(1-0.2)3+...]=\lim _{n\to \infty }\sum _{i=0}^{n}100\times (1-0.2)^{i}={\frac {100}{1-(1-0.2)}}={\frac {100}{0.2}}=500$$

In total, 500 scriptural money was created, for 100 percent of the excess reserves that initially appeared. The credit multiplier is therefore equal to 5.

The credit multiplier is defined as the ratio between the total change in credits, ΔCR, and the initial change in excess reserves, ΔiRE.

$m_{c}={\frac {\Delta CR}{\Delta _{i}RE}}$

Assuming that there are no 'leakages' from the credit multiplier circuit, i.e. that the private sector does not seek to convert part of the newly created book money into fiat money. The credit multiplier is the inverse of the reserve requirement ratio. (${\textstyle r}$):

$$m_{c}={\frac {1}{r}}$$

In the example: $r=20\%=0.2={\frac {1}{5}}$ => $m=5$. Si $r=0.1$, $m=10$.

There are several ways to demonstrate that $m_{c}={\frac {1}{r}}$. The simplest is to point out that $\Delta _{i}RE=\Delta RO$. Or $\Delta RO=r$· $\Delta DV=r\times \Delta CR$. Therefore,

$m_{c}={\frac {\Delta CR}{r\times \Delta CR}}={\frac {1}{r}}$

In general: $M={\frac {1}{r}}\times H=m\times H$

The Money Multiplier: full version

Exemple (Same same but different!)

1. Same assumption as above, that we abandon the assumption that agents in the non-bank sector do not seek to exchange some of the newly created book money for cash. In this case, when the bank makes a loan, it must expect that the cash-in-transaction money created in return will be exchanged for cash. This means that the bank will have to draw on its excess reserves to provide the requested cash. Excess reserves will decline more rapidly, because of this leakage out of the credit multiplier circuit, and the credit multiplier will therefore be lower.

Let us call $c$ the leakage coefficient, i.e. the share of new credits converted into cash:

$c={\frac {\Delta N_{p}}{\Delta CR}}$

2. Idem

3’. Bank A uses its excess reserves to make new loans (for an amount of 100). However, the non-bank sector wants to keep half of it in cash: Assumption: $c=50\%$.

4’. The remaining excess reserves give rise to new loans for an amount of 40.

5’. The process can continue until there are no more excess reserves. The result is :

In its full version (with leakage), the credit multiplier becomes :

$m_{c}={\frac {\Delta CR}{\Delta _{i}RE}}={\frac {1}{(r+c-rc}}$

Evidence:

$\Delta _{i}RE=\Delta RO+\Delta N_{p}$

Because the process stops when mandatory stockpiling and leakage has exhausted the initial surplus reserves. Replacing the increase in reserve requirements and requests for conversion to cash with their respective values has:

$\Delta _{i}RE=r\times \Delta DV+c\times \Delta CR$ (car $\Delta RO=r\Delta DV$ et $=\Delta N_{p}=c\Delta CR$)

$=r[(1-c)\Delta CR]+c\Delta CR$ (car $\Delta DV=(1-c)\Delta CR$)

$=\Delta CR[c+r(1-c)]$

From then on:

${\frac {\Delta CR}{\Delta _{i}RE}}={\frac {1}{r+c-rc}}$

BC's control instruments

Open market operations: as already mentioned, central banks can intervene in asset markets. When a CB buys (sells) government bonds the amount of money in circulation increases (decreases).

Modification of the reserve ratio: if the minimum fraction of deposits that must be kept as reserves increases (decrease), the quantity of money in circulation decreases (increases). NB: Traditionally, central banks have used this measure only very rarely, except in China in recent years. Examples: 10% USA, 20% CH, nothing UK, nothing Australia...

Change in the discount rate (or key rate): commercial banks borrow money from the central bank when their reserves are too low in relation to the reserve requirement. If the discount rate ↑ (↓) ⇒ the money supply ↓ (↑). Most central banks have lowered this rate since the beginning of the last financial crisis. Today the key rates are extremely low.

Efficacité du contrôle de la banque centrale de l’offre de monnaie

Les banques centrales exercent un contrôle sur l’offre de monnaie qui est seulement partiel. En particulier, les banques centrales ne peuvent pas contrôler :

• la quantité de dépôts que les ménages décident de convertir en monnaie fiduciaire (fuites du circuit des crédits). Dans ce cas, si les agents privés détiennent en cash un pourcentage $c$ des dépôts, le multiplicateur devient $m={\frac {1}{r+c}}$, bonne approximation du vrai multiplicateur $m={\frac {1}{r+c-rc}}$ si $r$ et $c$ sont petits.
• le montant global des prêts accordés par les banques commerciales.

En résumé, comme la quantité de monnaie en circulation dans l’économie dépend en partie du comportement des banquiers et des déposants, le contrôle qu’exerce la banque centrale ne peut être qu’imparfait.

Dans la suite nous allons faire l’hp que la banque centrale contrôle parfaitement l’offre de monnaie.

Résumé

Le terme monnaie se réfère à l’ensemble des actifs utilisés par les ménages pour acheter des biens et des services

La monnaie recouvre trois fonctions: intermédiaire des échanges, unité de compte, réserve de valeur

La monnaie-marchandise est une monnaie qui a une valeur intrinsèque

La monnaie fiduciaire n’a aucune valeur intrinsèque

La banque centrale contrôle l’offre de monnaie à travers les opérations ‘open-market’, en modifiant le coefficient des réserves obligatoires, en changeant le taux d’escompte

La banque centrale ne peut pas contrôler le montant de prêts accordés par les banques commerciales ni le décisions de dépôts des ménages. En conséquence, le contrôle de la banque centrale sur l’offre de monnaie est seulement partiel

Certaines causes de l’inflation (= augmentation du niveau général des prix) sont liées aux déterminants de la demande (chapitre suivant) et de l’offre (ce chapitre) de monnaie.

Annexes

• David James Gill and Michael John Gill | The New Rules of Sovereign Debt | Foreignaffairs.com,. (2015). Retrieved 23 January 2015, from http://www.foreignaffairs.com/articles/142804/david-james-gill-and-michael-john-gill/the-great-ratings-game