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instability is compatible with long run stability. Further, long run studies<br />

(which typically use annual observations or temporally averaged data) face<br />

problems because the definitions of many of the variables change over time.<br />

Some elements omitted from the equation because they are assumed constant,<br />

such as payment systems, do change over time. In any case, the distinction<br />

between long run <strong>and</strong> short-run studies is arbitrary. There is no <strong>theoretical</strong><br />

definition of the long run in macro<strong>economics</strong> other than the period<br />

necessary for the economy to return to equilibrium — a definition that is<br />

useless for empirical work.<br />

What can we learn from testing?<br />

One result of these problems is that the st<strong>and</strong>ard regression equation used in<br />

dem<strong>and</strong> for money testing makes relatively little use of theory beyond taking<br />

as a starting point the need to include both an income term <strong>and</strong> an interest<br />

rate term. It is hard, therefore, to argue that it is the theory being tested.<br />

Rather, we start with a view of the world that leads to a belief in a stable<br />

relationship between the dem<strong>and</strong> for money <strong>and</strong> real income <strong>and</strong> we seek to<br />

confirm this. Failure to do so does not produce a re-evaluation of the theory<br />

or a change of world view but a determination to change the equation <strong>and</strong><br />

try again. A chapter on the testing of the dem<strong>and</strong> for money in a recent<br />

book (H<strong>and</strong>a, 2000) contains the sub-heading, ‘The desperate search for a<br />

stable money dem<strong>and</strong> function’. This is an accurate description of much<br />

that has gone on. None the less, let us look at the results of all this endeavour.<br />

6.3 Early dem<strong>and</strong> for money studies<br />

TESTING THE DEMAND FOR MONEY 143<br />

Before Keynes’s General Theory, estimates were made of the velocity of<br />

circulation over long periods, with the aim of relating changes in long-run<br />

velocity to institutional changes (fitting in with the classical quantity theory<br />

of money). After the publication of The General Theory, attempts were<br />

made to show a positive relationship between interest rates <strong>and</strong> velocity<br />

(<strong>and</strong> thus an inverse relationship between interest rates <strong>and</strong> the dem<strong>and</strong> for<br />

money). The aim was to demonstrate that an increase in the money stock<br />

would produce a fall in velocity, reducing the impact on nominal income.<br />

Other studies (Tobin, 1947; Bronfenbrenner <strong>and</strong> Mayer, 1960) sought to<br />

distinguish between idle <strong>and</strong> active balances <strong>and</strong> then to relate idle balances<br />

to interest rates, on the assumption that interest rates only influenced idle<br />

balances <strong>and</strong> had no role to play in the transactions or precautionary

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