Readings in Money and Banking: Selected and AdaptedPhillips, Chester Arthur
General
Readings in Money and Banking: Selected and Adapted
Phillips, Chester Arthur
Banks and banking; Banks and banking -- United States; Money
The right-hand side of this equation is the sum of terms of the form
_pQ_--a price multiplied by a quantity bought. It is customary in
mathematics to abbreviate such a sum of terms (all of which are of the
same form) by using "Sigma" as a symbol of summation. This symbol
does not signify a _magnitude_ as do the symbols _M, V, p, Q_, etc. It
signifies merely the _operation_ of addition and should be read "the sum
of terms of the following type." The equation of exchange may therefore
be written:
_MV_ = Sigma_pQ_.
That is, the magnitudes _E_, _M_, _V_, the _p_'s and the _Q_'s relate to
the _entire_ community and an _entire_ year; but they are based on and
related to corresponding magnitudes for the individual persons of which
the community is composed and for the individual moments of time of
which the year is composed.
The algebraic derivation of this equation is, of course, essentially the
same as the arithmetical derivation previously given. It consists simply
_in adding together the equations for all individual purchases within
the community during the year_....
[We are now] ... prepared for the inclusion of bank deposits or
circulating credit in the equation of exchange. We shall still use _M_
to express the quantity of actual money, and _V_ to express the velocity
of its circulation.[46] Similarly, we shall now use _M'_ to express the
total deposits subject to transfer by check; and _V'_ to express the
average velocity of circulation. The total value of purchases in a year
is therefore no longer to be measured by _MV_, but by _MV_ + _M'V''_.
The equation of exchange, therefore, becomes:
_MV_ + _M'V'_ = Sigma_pQ_ = _PT_[47]....
With the extension of the equation of monetary circulation to include
deposit circulation, the influence exerted by the quantity of money on
general prices becomes less direct; and the process of tracing this
influence becomes more difficult and complicated. It has even been
argued that this interposition of circulating credit breaks whatever
connection there may be between prices and the quantity of money.[48]
This would be true if circulating credit were independent of money. But
the fact is that the quantity of circulating credit, _M'_, tends to hold
a definite relation to _M_, the quantity of money in circulation; that
is, deposits are normally a more or less definite multiple of money.
Public-domain text, read in full here on John Shaqi.
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