Developed by the classical economists in the nineteenth and early twentieth
centurys Womens
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how the nominal value of aggregate income is determined. Because it also tells
us how much money is held for a given amount of aggregate income, it is also a
theory of the demand for money. The most important feature of this theory is
that it suggests that interest rates have no effect on the demand for
money.
Velocity of Money and Equation of Exchange. The clearest
exposition of the classical quantity theory approach is found in the work of the
American economist Irving Fisher, in his influential book The Purchasing Power
of Money, published in 1911. Fisher wanted to examine the link between the total
quantity of money M (the money supply) and the total amount of spending on final
goods and services produced in the economy P x Y, where P is the price level and
Y is aggregate output (income). (Total spending P x Y is also thought of as
aggregate nominal income for the economy or as nominal GDP. ) The concept that
provides the link between M and P x Y is called the velocity of money (often
reduced simply to velocity), the rate of turnover of money, that is, the average
number of times per year that a dollar is spent in buying the total amount of
goods and services produced in the economy. Velocity V is defined more precisely
as total spending P x Y divided 84 by the quantity of money
M: =
(PY)M
If Womens
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is $5 trillion and the quantity of money is $1 trillion, velocity is 5, meaning
that the average dollar bill is spent five times in purchasing final goods and
services in the economy.
The equation of exchange thus states that the
quantity of money multiplied by the number of times that this money is spent in
a given year must be equal to nominal income (the total nominal amount spent on
goods and services in that year).l
As it stands, Equation 2 is nothing
more than an identitya relationship that is true by definition, it does not tell
us, for instance, that when the money supply M changes Womens
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direction; a rise in M, for example, could be offset by a fall in V that leaves
M x V (and therefore P x F) unchanged. To convert the equation of exchange (an
identity) into a theory of how nominal income is determined requires an
understanding of the factors that determine velocity.
Irving Fisher
reasoned that velocity is determined by the institutions in an economy that
affect the way individuals conduct transactions. If people use charge accounts
and credit cards to conduct their transactions and consequently use money less
often when making purchases, less money is required to conduct the transactions
generated by nominal income (Mo, relative to Px Y), and velocity (P x Y)M will
increase. Conversely, if it is more convenient for purchases to be paid for with
cash or checks (both of which are money), more money is used to conduct the
transactions generated by the same level of nominal income Womens
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that the institutional and technological features of the economy would affect
velocity only slowly over time, so velocity would normally be reasonably
constant in the short run.
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