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4.5 Policy Implications

only price increases. This belief is often referred to as the money neutrality proposition. This view is formalized in the quantity theory of money equation, discussed later in chapter 8. In this theory the relationship between money and income is captured by the formula Mv = PQ where M is the money supply, v is a constant called velocity, P is the overall price level, and Q is output. The classical economists viewed output in the long run as being maintained at its full-employment level by the flexing of wages, so Q is considered fixed. Velocity also was thought to be fixed, reflecting the nature of the economy's payments system. Because v and Q are fixed, a doubling of the money supply by the quantity theory equation in the long run merely doubles the price level: money is neutral, playing no role in affecting the real dimension of the economy, such as output and employment levels.
Keynes did not agree that it was legitimate to view output Q as constant. Although Q may be constant in the long run, movement to that long-run position may be so slow that prolonged recessions could develop, permitting an increase in the money supply to affect output. (This process is described in chapter 9.) Furthermore, because the interest rate can affect people's desired cash holdings, velocity should not be considered constant.
Modern schools of economic thought do not ignore the short run and its associated dynamics. They do not believe in Say's law, and they have reinterpreted the quantity theory to make it more palatable. But one difference between the classical and Keynesian views described earlier continues to divide modern macroeconmic theorists: the classical school believed that wages and prices are quite flexible and that, as a result, government should not intervene in the operation of the economy, whereas Keynes believed the opposite. The same difference characterizes New Classicals and New Keynesians, the modern counterparts to the classical and Keynesian schools, discussed later in curiosity 12.1 in chapter 12.
Appendix 4.2—
The Circular Flow of Income
A popular way of illustrating the Keynesian analysis of aggregate demand is through the circular-flow diagram. This diagram shows how from year to year the income earned producing things enables people to buy these things and thereby permits the process to continue in a never-ending circular flow of income earning and spending.
The flow of income and spending is shown circulating clockwise in figure 4.3. In the bottom box are producers who pay income in the form of wages, profits, interest, and rent, which flow up to the left to households in the top box. These households use this income to finance spending, which flows down to the right to the producers, providing them with the means to continue producing and paying incomes. Along the route of this circle, however, are several leakages from and injections into this circular flow.
The first leakage is taxes taken from income as it flows to households. A second leakage is saving, which goes to financial markets where it is made available to investors. (Saving is also made available to governments selling bonds to finance budget deficits. To keep figure
 
Appendix 4.3—
The 45°-Line Diagram
The first of the infamous curve-shifting diagrams to which macroeconomics students are introduced is the 45°-line diagram, designed to illustrate the elements of Keynesian analysis. All points on a 45° line are equidistant from both axes. In figure 4.4 the 45° line is labeled AD = AS because everywhere along that line, aggregate demand for goods and services (measured on the vertical axis) is equal to aggregate supply of goods and services (measured on the horizontal axis). Such points are possible equilibrium positions.
We begin with an economy represented by the aggregate expenditure line AE 1 , showing how increases in income ( Y ) increase aggregate demand for goods and services through the consumption function (i.e., as income increases consumption, demand increases). This implies that the economy will be at position A, corresponding to income level Y A .
This result can be verified by choosing an income level smaller than Y A and seeing that aggregate supply will be smaller than aggregate demand (because at that income level the AE 1 line is above the 45° line), so that income will rise. Similar reasoning shows that at an income level greater than Y A aggregate supply exceeds aggregate demand and income will fall. It may seem odd to call the AE line an aggregate expenditure line rather than an aggre-
0074-001.gif
Figure 4.4
The 45°-Line Diagram Government spending is increased 
by 
D G, shifting AE 1  up to AE 2 , moving the economy
 ultimately from A to AA, increasing income by 
D Y.