The Theory flows from the fact that money as such has no utility except
what is derived from its exchange-value, that is to say from the
utility of the things which it can buy. Valuable articles other than
money have a utility in themselves. Provided that they are divisible
and transferable, the total amount of this utility increases with their
quantity;--it will not increase in full proportion to the quantity,
but, up to the point of satiety, it does increase.
If an article is used for money, such as gold, which has a utility
in itself for other purposes, aside from its use as money, the
strict statement of the theory, though fundamentally unchanged, is a
little complicated. In present circumstances we can excuse ourselves
this complication. A Currency Note has no utility in itself and is
completely worthless except for the purchasing power which it has as
money.
Consequently what the public want is not so many ounces or so many
square yards or even so many £ sterling of currency notes, but a
quantity sufficient to cover a week’s wages, or to pay their bills,
or to meet their probable outgoings on a journey or a day’s shopping.
When people find themselves with more cash than they require for
such purposes, they get rid of the surplus by buying goods or
investments, or by leaving it for a bank to employ, or, possibly, by
increasing their hoarded reserves. Thus the _number_ of notes which
the public ordinarily have on hand is determined by the amount of
_purchasing power_ which it suits them to hold or to carry about,
and by nothing else. The amount of this purchasing power depends
partly on their wealth, partly on their habits. The wealth of the
public in the aggregate will only change gradually. Their habits
in the use of money--whether their income is paid them weekly or
monthly or quarterly, whether they pay cash at shops or run accounts,
whether they deposit with banks, whether they cash small cheques at
short intervals or larger cheques at longer intervals, whether they
keep a reserve or hoard of money about the house--are more easily
altered. But if their wealth and their habits in the above respects
are unchanged, then the amount of purchasing power which they hold in
the form of money is definitely fixed. We can measure this definite
amount of purchasing power in terms of a unit made up of a collection
of specified quantities of their standard articles of consumption or
other objects of expenditure; for example, the kinds and quantities of
articles which are combined for the purpose of a cost-of-living index
number. Let us call such a unit a “consumption unit” and assume that
the public require to hold an amount of money having a purchasing power
over _k_ consumption units. Let there be _n_ currency notes or other
forms of cash in circulation with the public, and let _p_ be the price
of each consumption unit (_i.e._ _p_ is the index number of the cost
of living), then it follows from the above that _n = pk_. This is the
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