JulianeKaden
(Money & Banking)
November 2
nd, 2003.

Tutorial 4 – Money Supply and Credit Rationing

  1. How is the money supply determined according to the money multiplier approach? What are the problems associated with this view of money creation by the banking system?

In a fractional reserve banking system the money supply consists mostly of deposits at banks, which the Central Bank cannot control directly. The money supply process is therefore a more complicated system then simply the number of notes and coins inserted in the system in the first place. In a system with just direct monetary exchanges the money supply will equal the amount of money inserted, but in an increasingly cashless society in which a lot of monetary transactions are made via electronic transfers through banks and in which legal arrangements require banks to hold cash reserves equal to certain percentages of their outstanding deposits, the money available to the public is higher. In this system currency forms a “base” supporting deposits available through the banking system.

Controlling the money supply, i.e. be able to explain what the determinants are, is important for policy purposes. In principle, a small number of proximate determinants of the money supply can be identified which may give the central authorities a “tool” to influence the amount of money in circulation, i.e. influence interest and inflation rates. In practice, however, monetary control may present intractable problems stemming from problems in determining the exact demand for money and in determining the volume of high-powered money. The issue of controllability has been widely debated in recent years. In the following I will briefly outline an approach, the multiplier approach, which has been widely used to determine the money supply. I will then go on to discuss the problems associated with this view of money creation.

The money multiplier approach relies on a set of identities about the banking system. The monetary base (high-powered money) consists of currency (monetary liabilities of the government held by the public) and banks’ deposits (monetary liabilities of the government held by financial intermediaries) at the central bank.

The liquid financial assets held by the public consist of the financial intermediaries liabilities and the liabilities of the government.

Rearranging these two identities gives us another identity relating the money base to the cash-reserve ratios of the financial intermediaries and the currency-deposit ratios of the public.

High-powered money is related to the money multiplier. The money multiplier is the ratio of the stock of money to the stock of high powered money, given by . The money multiplier is larger than 1, i.e. the larger deposits are as a fraction of the money stock, the larger the multiplier is. This is the case because currency uses up one currency unit of high-powered money per currency unit. Deposits, by contrast, use up only a fraction of a dollar of high-powered money (in reserves) per currency unit of money stock. For example, suppose the reserve ratio is 10%, then every US $ of the money stock in the form of deposits uses up only 10 cents of high-powered money, i.e. each dollar of high powered money held as bank reserves can support $10 of deposits. The money multiplier summarizes the behaviour of the public, the banks and the Central bank in the money supply process by just three variables: the currency-deposit ratio, the reserve ratio and the stock of high-powered money. It is larger the smaller the reserve ratio and the smaller the currency-deposit ratio. With a smaller currency-deposit ratio, a smaller fraction of high-powered money is used as currency, i.e. a larger fraction is available to be reserves (translating more than 1:1 into money).

The money multiplier approach derives its attractiveness for analysis from its simplicity and parsimonious structure requiring only knowledge of a few variables. However, despite its brevity it is constructed from identities that lack behavioural content. Goodhart (1989) shows that it is relatively easy to construct random multipliers by the simple use of various identities which do not necessarily have to be logically and behaviourally related. He cautions the use of this procedure. In order for the multiplier to be useful and applicable in explaining something as large as the money supply from movements of much smaller components, further conditions need to be fulfilled. Namely, the respective ratios need to be predictable and stable. The currency-deposit ratio depends on the payment habits of the public which is itself determined by the cost and convenience of obtaining cash.
Bank reserves consists of deposits at the CB and notes and coins held by the banks. With no regulation, banks would hold reserves to meet the cash demands of their customers and to settle cheque deposits at other banks. However, in many countries banks are required to hold a certain amount of reserves. In addition, they hold some excess reserves to meet unexpected withdrawals. Banks will generally try to minimise excess reserves (earning no interest), i.e. with high market interest rates banks have further incentives to hold reserves to a minimum. Reserve ratios are likely to remain a stable function of the relative yields on alternative assets assuming that there are no sudden policy changes (reserve requirements, exchange rate regimes, monetary targets etc.). The public’s currency-deposit ratio is likely to remain relatively constant over time and will only gradually adjust in response to slow-moving institutional factors and relative yield changes on deposits. In this simplistic model the central bank has three instruments to control the money supply: open market operations (e.g. buying and selling of government bonds), the discount rate (rate banks are charged if they borrow from the CB to meet reserve requirements, effectively a penalty rate) and the required reserve ratio.

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In practice, however, the money multiplier approach has several problems.
Even if reserve ratios do only change in a predictable way, the very fact that only a very small number of predictable ratios is used (in terms of parsimononious structure of the model an advantage), these are unlikely to completely capture all portfolio adjustments and behavioural interactions. If one wanted to include those in the system, the complexity would rise considerably which would increase the informational costs to the system. The model has very small informational content. Factors affecting the determinants of high-powered money may be endogenous to the system ...

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