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98 MONETARY ECONOMICS<br />

money plays in an economy. Rather, the <strong>monetary</strong> sector is merely added<br />

on to an already-existing real sector <strong>and</strong> does not modify it in any way.<br />

We noted in 2.2, however, that Irving Fisher’s approach was more complex<br />

than this suggests since he distinguished between transactions related<br />

to national income <strong>and</strong> those related to financial transactions:<br />

MV = P YY + P F F ...5.3<br />

where Y <strong>and</strong> F are income <strong>and</strong> financial transactions respectively. If we<br />

accept this, <strong>and</strong> still require T to be exogenous <strong>and</strong> entirely unrelated to M,<br />

we must assume, as we did in the first of our simple models in Section 2.2,<br />

that financial transactions only take place in the pursuit of real ends. That<br />

is, there are no purely financial transactions — a difficult assumption to<br />

maintain even in the 18th century <strong>and</strong> clearly impossible amidst the speculative<br />

behaviour in modern financial markets. This distinction has largely<br />

been ignored since Fisher’s time. Indeed, most textbook versions of<br />

Fisher’s statement have replaced T with y, excluding the financial sector<br />

from consideration.<br />

A further complexity arises if we pay attention to the precise meaning of<br />

M. M was initially limited to currency (in modern terms, the <strong>monetary</strong> base<br />

or high-powered money) but was later extended to include bank depos<strong>its</strong>:<br />

MV C C + MV D D =<br />

PT<br />

...5.4<br />

where the subscripts C <strong>and</strong> D indicate currency <strong>and</strong> bank depos<strong>its</strong> respectively.<br />

M C is the <strong>monetary</strong> base. V C <strong>and</strong> V D are assumed to have different<br />

values <strong>and</strong> so variations in M C/M D lead to changes in P. As long as M C/M<br />

is constant (people hold a constant proportion of their money holdings in the<br />

form of currency), the extension to bank depos<strong>its</strong> does not change the result.<br />

Although this formulation allows us to consider the possibility of a change<br />

in M undesired by the authorities, even if they were totally in control of M C,<br />

the Quantity Theory has not been used as a vehicle for the examination of<br />

the relationship between the <strong>monetary</strong> base <strong>and</strong> the money stock.<br />

According to Fisher, an increase in M C caused prices to rise <strong>and</strong> hence the<br />

real interest rates to fall. This led to an increase in dem<strong>and</strong> for bank loans<br />

<strong>and</strong> an increase in M D. Nominal interest rates were pushed up until the real<br />

rate of interest returned to <strong>its</strong> initial level.<br />

Although V is usually written as a constant, it is affected by changes in<br />

the financial system, in particular by changes in the form in which income<br />

is received <strong>and</strong> payments are made. Thus, V changes over time (<strong>and</strong> is dif-

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