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THE MONEY SUPPLY PROCESS 61<br />

When it comes to banks’ decisions about their reserve ratios, therefore,<br />

there are numerous influences at work. Remember that banks are prof<strong>its</strong>eeking<br />

firms, that the cash element of reserves yields no interest <strong>and</strong> that,<br />

in most systems depos<strong>its</strong> at the central bank are also non-interest bearing.<br />

This means that holding reserves acts like a tax on banking, an issue we<br />

return to in the next chapter.<br />

Banks’ decisions to hold reserves will depend firstly upon their cost.<br />

Where reserves pay no interest then the cost can be proxied by the return on<br />

alternative liquid assets, which might be proxied by the bond rate, i b. Where<br />

reserves do pay interest, then the cost will be the return on reserves, i r relative<br />

to the bond rate. The quantity of reserves held will depend also on the<br />

cost of being short, that is upon the rediscount rate charged for lender of last<br />

resort facilities, i d. This is the rate of interest announced periodically, usually<br />

monthly, by the central bank. In the UK <strong>and</strong> the eurozone it is a rate of<br />

interest charged by the central bank on short-dated repurchase deals with<br />

banks, using government bonds as the underlying security. Reserve holdings<br />

will also depend upon any m<strong>and</strong>atory reserve requirement, RR, <strong>and</strong>,<br />

lastly, upon the variability of inward <strong>and</strong> outward flows to which banks are<br />

subject, σ. This last factor is relevant because the primary purpose of<br />

reserves is to enable individual banks to meet dem<strong>and</strong>s for cash or, more<br />

importantly, for transfers of depos<strong>its</strong> as customers make payments to customers<br />

of other banks or to the government. The majority of payments are<br />

offsetting (payments from bank A to bank B will roughly cancel); reserves<br />

are necessary to meet the balance. Provided this balance is predictable, the<br />

need for reserves will be limited to the predicted net flow. If it is unpredictable,<br />

then additional funds have to be held. The greater the variance (or<br />

st<strong>and</strong>ard deviation) of the flows, the greater the margin that will be necessary.<br />

In summary, then:<br />

R<br />

β ≡ = f( ir, ib, id, RR,<br />

σ)<br />

...3.10<br />

Dp + − +<br />

+ +<br />

Given that we now have some idea of the sorts of influences, <strong>and</strong> the<br />

direction of their effect, upon the ratios α <strong>and</strong> β, the next obvious question<br />

is what effect will changes in α <strong>and</strong> β have upon the size of the multiplier<br />

expression in 3.7 <strong>and</strong> 3.8. From there, we can see their effect on the money<br />

supply.<br />

The answer to the first question lies in the value ‘1’. Because the values<br />

of α <strong>and</strong> β are fractions (in practice, very small fractions) it is the ‘1’ which<br />

gives the expression a multiplier value: the numerator is bound to be larger

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