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Thus, let<br />

giving us:<br />

<strong>and</strong>:<br />

THE THEORY OF THE DEMAND FOR MONEY 103<br />

w= cT<br />

Md = kPcT<br />

...5.8<br />

Md1/ ck = PT<br />

With c <strong>and</strong> k both constant, we can define Fisher’s V as the inverse of ck<br />

<strong>and</strong> write:<br />

Md. V = PT<br />

...5.10<br />

Finally, we assume the money market to be in equilibrium with Md =<br />

Ms. Thus,<br />

MV = PT<br />

...5.11<br />

The two versions of the Quantity Theory appear very similar. In both, as<br />

long as money is exogenous, increases in the price level result from an<br />

excess supply of money. The dem<strong>and</strong> for money function in the Cambridge<br />

version is stably related to w <strong>and</strong>, hence, to T.<br />

Nonetheless, there are important differences between the Quantity<br />

Theory <strong>and</strong> the Cambridge approach. 4 Firstly, the Cambridge approach<br />

makes use of marginal analysis <strong>and</strong> extends the general neo-classical model<br />

to the money market. It is, thus, a forerunner of the later portfolio models<br />

of Milton Friedman <strong>and</strong> James Tobin dealt with below.<br />

Secondly, the factors influencing V in the Fisher version are only a subset<br />

of those influencing k in the Cambridge version. The inclusion of the<br />

opportunity cost in the Cambridge version makes k potentially more subject<br />

to short-term change than is V. The possibility at least exists that people<br />

might choose to hold money for purposes other than engaging in the<br />

exchange of goods <strong>and</strong> services. Crucially, it gave a potential role to the rate<br />

of interest. Keynes, as early as 1923 in A Tract on Monetary Reform (JMK<br />

Vol IV), showed how the incorporation of inflationary expectations could<br />

produce changes in the price level, in the absence of changes in the money<br />

stock. In The Treatise on Money (1930 <strong>and</strong> JMK Vols V <strong>and</strong> VI), he argued<br />

that changing expectations regarding security prices might cause changes in<br />

nominal interest rates. In The Treatise, his price equation did not include<br />

the money stock at all. The opportunity cost of holding money was assuming<br />

greater importance.<br />

5.4 The General Theory <strong>and</strong> the dem<strong>and</strong> for money<br />

...5.7<br />

...5.9<br />

Keynes’s (1936) theory of the dem<strong>and</strong> for money as treated in IS/LM analysis<br />

is widely known. It is a part of his general model, which deals with the

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