The Value of MoneyAnderson, Benjamin M. (Benjamin McAlester)
General
The Value of Money
Anderson, Benjamin M. (Benjamin McAlester)
Money
T, in Professor Fisher's equation, is defined as the sum of all the Q's.
But how does one sum up _pounds_ of _sugar_, _loaves_ of _bread_, _tons_
of _coal_, _yards_ of _cloth_, etc.? I find at only one place in
Professor Fisher's book an effort to answer that question, and there it
is not clear that he means to give a general answer. He needs units of Q
which shall be homogeneous when he undertakes to put concrete figures
into his equation for the purpose of comparing index numbers and
equations for successive years. "If we now add together these tons,
pounds, bushels, etc., and call this grand total so many 'units' of
commodity, we shall have a very arbitrary summation. It will make a
difference, for instance, whether we measure coal by tons or
hundred-weights. The system becomes less arbitrary if we use, as the
unit for measuring any goods, not the unit in which it is commonly sold,
but the amount which constitutes a 'dollar's worth' at some particular
year called the base year" (p. 196). If this be merely a device for the
purpose of handling index numbers, a convention to aid mensuration, we
need not, perhaps, challenge it. The unit chosen is, in that case, after
all a fixed physical quantity of goods, the amount bought with a dollar
in a given year, and remains fixed as the prices vary in subsequent
years. That it is more "philosophical" or less "arbitrary" than the more
common units is not clear, but, if it be an answer, designed merely for
the particular purpose, and not a general answer, it is aside from my
purpose to criticise it here. If, however, this is Professor Fisher's
_general_ answer to the question of the method of summing up T, if it is
to be employed in his equation when the question of _causation_, as
distinguished from _mensuration_, is involved, then it represents a
vicious circle. If T involves the price-level in its definition, then T
cannot be used as a causal factor to explain the price-level. I shall
not undertake to give an answer, where Professor Fisher himself fails to
give one, as to his meaning. I simply point out that he himself
recognizes that the summation of the Q's is arbitrary without a common
unit, and that the only common unit suggested in his book, if applied
generally, involves a vicious circle.
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