16.1 Money and Inflation

As we’ll see later in this chapter, moderate levels of inflation such as those experienced in Canada—even the double-digit inflation in the early 1980s—can have complex causes. But very high inflation is always associated with rapid increases in the money supply.

To understand why, we need to revisit the effect of changes in the money supply on the overall price level. Then we’ll turn to the reasons governments sometimes increase the money supply very rapidly.

The Classical Model of Money and Prices

In Chapter 15, we learned that in the short run an increase in the money supply increases real GDP by lowering the interest rate and stimulating investment spending and consumer spending. However, in the long run, as nominal wages and other sticky prices rise, real GDP falls back to its long-run level (i.e., potential output). So in the long run, an increase in the money supply does not change real GDP. As mentioned in Chapter 8, the long-run level of output is determined by total factor productivity, the stock of physical and human capital used, and the amount of labour employed. Thus, other things equal, an increase in the money supply leads to an equal percent rise in the overall price level; that is, the prices of all goods and services in the economy, including nominal wages and the prices of intermediate goods, rise by the same percent age as the money supply. And when the overall price level rises, the aggregate price level—the prices of all final goods and services—rises as well. As a result, a change in the nominal money supply, M, leads in the long run to a change in the aggregate price level that leaves the real quantity of money, M/P, at its original level. As a result, there is no long-run effect on aggregate demand or real GDP. For example, when Turkey dropped six zeros from its currency, the Turkish lira, in January 2005, Turkish real GDP did not change. The only thing that changed was the number of zeros in prices: instead of something costing 2 000 000 lira, it cost 2 lira.

This is, to repeat, what happens in the long run. When analyzing large changes in the aggregate price level, however, macroeconomists often find it useful to ignore the distinction between the short run and the long run. Instead, they work with a simplified model in which the effect of a change in the money supply on the aggregate price level takes place instantaneously rather than over a long period of time. You might be concerned about this assumption given that in previous chapters we’ve emphasized the difference between the short run and the long run. However, for reasons we’ll explain shortly, this is a reasonable assumption to make in the case of high inflation.

According to the classical model of the price level, the real quantity of money is always at its long-run equilibrium level.

A simplified model in which the real quantity of money, M/P, is always at its long-run equilibrium level is known as the classical model of the price level because it was commonly used by “classical” economists who wrote before the work of John Maynard Keynes. To understand the classical model and why it is useful in the context of high inflation, let’s revisit the AD–AS model and what it says about the effects of an increase in the money supply. (Unless otherwise noted, we will always be referring to changes in the nominal supply of money.)

Figure 16-1 reviews the effects of an increase in the money supply according to the AD–AS model. The economy starts at E1, a point of short-run and long-run macroeconomic equilibrium. It lies at the intersection of the aggregate demand curve, AD1, and the short-run aggregate supply curve, SRAS1. It also lies on the long-run aggregate supply curve, LRAS. At E1, the equilibrium aggregate price level is P1.

Figure16-1The Classical Model of the Price Level Starting at E1, an increase in the money supply shifts the aggregate demand curve rightward, as shown by the movement from AD1 to AD2. There is a new short-run macroeconomic equilibrium at E2 and a higher price level at P2. In the long run, nominal wages adjust upward and push the SRAS curve leftward to SRAS2. The total percent increase in the price level from P1 to P3 is equal to the percent increase in the money supply. In the classical model of the price level, we ignore the transition period and think of the price level as rising to P3 immediately. This is a good approximation under conditions of high inflation.

Now suppose there is an increase in the money supply. This is an expansionary monetary policy, which shifts the aggregate demand curve to the right, to AD2, and moves the economy to a new short-run macroeconomic equilibrium at E2. Over time, however, nominal wages adjust upward in response to the rise in the aggregate price level, and the SRAS curve shifts to the left, to SRAS2. The new long-run macroeconomic equilibrium is at E3, and real GDP returns to its initial level. As we learned in Chapter 15, the long-run increase in the aggregate price level from P1 to P3 is proportional to the increase in the money supply. As a result, in the long run changes in the money supply have no effect on the real quantity of money, M/P, or on real GDP. In the long run, money—as we learned—is neutral.

The classical model of the price level ignores the short-run movement from E1 to E2, assuming that the economy moves directly from one long-run equilibrium to another long-run equilibrium. In other words, it assumes that the economy moves directly from E1 to E3 and that real GDP never changes in response to a change in the money supply. In effect, in the classical model the effects of money supply changes are analyzed as if the short-run as well as the long-run aggregate supply curves were vertical.

In reality, this is a poor assumption during periods of low inflation. With a low inflation rate, it may take a while for workers and firms to react to a monetary expansion by raising wages and prices due to the existence of menu costs and long-term contracts. In this scenario, some nominal wages and the prices of some goods are sticky in the short run. As a result, under low inflation there is an upward-sloping SRAS curve, and changes in the money supply can indeed change real GDP in the short run.

But what about periods of high inflation such as the one experienced in Zimbabwe? In the face of high inflation, economists have observed that the short-run stickiness of nominal wages and prices tends to vanish. Workers and businesses, sensitized to inflation, are quick to raise their wages and prices in response to changes in the money supply. This implies that under high inflation there is a quicker adjustment of wages and prices of intermediate goods than occurs in the case of low inflation. So the short-run aggregate supply curve shifts leftward more quickly and there is a more rapid return to long-run equilibrium under high inflation. As a result, the classical model of the price level is much more likely to be a good approximation of reality for economies experiencing persistently high inflation.

The consequence of this rapid adjustment of all prices in the economy is that in countries with persistently high inflation, changes in the money supply are quickly translated into changes in the inflation rate. Let’s look at Zimbabwe. Figure 16-2 shows the annual rate of growth in the money supply and the annual rate of change of consumer prices from 2003 through April 2008. As you can see, the surge in the growth rate of the money supply coincided closely with a roughly equal surge in the inflation rate. Note that to fit these very large percentage increases—several thousands of percent—onto the figure, we have drawn the vertical axis using a logarithmic scale that allows us to draw equal-sized percent changes as the same size.

Figure16-2Money Supply Growth and Inflation in Zimbabwe This figure, drawn on a logarithmic scale, shows the annual rates of change of the money supply and the price level in Zimbabwe from 2003 through April 2008. The surges in the money supply were quickly reflected in a roughly equal surge in the price level.
Source: International Monetary Fund.

What leads a country to increase its money supply so much that the result is an inflation rate in the millions, or even billions, of percent?

The Inflation Tax

Modern economies use fiat money—pieces of paper that have no intrinsic value but are accepted as a medium of exchange. In Canada and most other wealthy countries, the decision about how many pieces of paper to issue is placed in the hands of a central bank that is somewhat independent of the political process. However, this independence can always be taken away if politicians decide to seize control of monetary policy.

So what is to prevent a government from paying for some of its expenses not by raising taxes or borrowing but simply by printing money? Nothing. In fact, governments, including the Canadian government, do it all the time. How can the Canadian government do this, given that the Bank of Canada issues money, not the Department of Finance Canada? The answer is that the Department of Finance and the Bank of Canada work in concert. The Department of Finance issues debt to finance the government’s purchases of goods and services, and the BOC monetizes the debt by creating money and buying some of this debt back from the public through open–market purchases of treasury bills. In effect, the Canadian government can and does raise revenue by printing money.

For example, in December 2009 the Canadian monetary base—bank reserves plus currency in circulation—was $4.194 billion larger than it had been a year earlier. This occurred because, over the course of that year, the Bank of Canada had issued $2.734 billion in money, or its electronic equivalent, and put it into circulation through open-market operations. To put it another way, the BOC created money out of thin air and used it to buy valuable government securities from the private sector. It’s true that the Canadian government pays interest on debt owned by the Bank of Canada—but the BOC, by law, hands the interest payments it receives on government debt back to the Receiver General of Canada, keeping only enough to fund its own operations. In effect, then, the BOC’s actions enabled the government to pay off $4.194 billion in outstanding government debt by printing money.

An alternative way to look at this is to say that the right to print money is itself a source of revenue. Economists refer to the revenue generated by the government’s right to print money as seigniorage, an archaic term that goes back to the Middle Ages. It refers to the right to stamp gold and silver into coins, and charge a fee for doing so, that medieval lords—seigneurs, in France—reserved for themselves.

Seigniorage normally accounts for only a tiny fraction, about half a percent, of Canada’s budgetary revenue. For example, in 2011, seigniorage was $1.156 billion, or about 0.47% of Canada’s total revenue of $245.203 billion. Furthermore, concerns about seigniorage don’t have any influence on the Bank of Canada’s decisions about how much money to print; the BOC is worried about inflation, not revenue. But there have been many occasions in history when governments turned to their printing presses as a crucial source of revenue. According to the usual scenario, a government finds itself running a large budget deficit—and lacks either the competence or the political will to eliminate this deficit by raising taxes or cutting spending. Furthermore, the government can’t borrow to cover the gap because potential lenders won’t extend loans given the fear that the government’s weakness will continue and leave it unable to repay its debts.

In such a situation, governments end up printing money to cover the budget deficit. But by printing money to pay its bills, a government increases the quantity of money in circulation. And as we’ve just seen, increases in the money supply sooner or later translate into equally large increases in the aggregate price level. So printing money to cover a budget deficit leads to inflation.

The inflation tax is the reduction in the value of money held by the public caused by inflation.

Who ends up paying for the goods and services the government purchases with newly printed money? The people who currently hold money pay. They pay because inflation erodes the purchasing power of their money holdings. In other words, a government imposes an inflation tax, the reduction in the value of the money held by the public, by printing money to cover its budget deficit and creating inflation.

It’s helpful to think about what this tax represents. If the inflation rate is 5%, then a year from now $1 will buy goods and services worth only $0.95 today. So a 5% inflation rate in effect imposes a tax rate of 5% on the value of all money held by the public.

But why would any government push the inflation tax to rates of hundreds or thousands of percent? We turn next to the logic of hyperinflation.

The Logic of Hyperinflation

Inflation imposes a tax on individuals who hold money. And, like most taxes, it will lead people to change their behaviour. In particular, when inflation is high, people will try to avoid holding money and will instead substitute real goods as well as interest-bearing assets for money. In this chapter’s opening story, we described how, during the German hyperinflation, people began using eggs or lumps of coal as a medium of exchange. They did this because lumps of coal maintained their real value over time but money didn’t. Indeed, during the peak of German hyperinflation, people often burned paper money, which was less valuable than wood. Moreover, people don’t just reduce their nominal money holdings—they reduce their real money holdings, cutting the amount of money they hold so much that it actually has less purchasing power than the amount of money they would hold if inflation were low. They do this by using the money to buy goods that last over time or assets that hold their value like gold. Why? Because the more real money holdings they have, the greater the real amount of resources the government captures from them through the inflation tax.

In the 1920s, hyperinflation made German currency worth so little that children made kites from banknotes.

We are now prepared to understand how countries can get themselves into situations of extreme inflation. High inflation arises when the government must print a large quantity of money, imposing a large inflation tax, to cover a large budget deficit.

Now, the seigniorage collected by the government over a short period—say, one month—is equal to the change in the money supply over that period. Let’s use M to represent the money supply and use the symbol Δ to mean “monthly change in.” Then:

The money value of seigniorage, however, isn’t very informative by itself. After all, the whole point of inflation is that a given amount of money buys less and less over time. So it’s more useful to look at real seigniorage, the revenue created by printing money divided by the price level, P, as this captures the real purchasing power that the government takes away from money holders:

Equation 16-2 can be rewritten by dividing and multiplying by the current level of the money supply, M, giving us:

or

But as we’ve just explained, in the face of high inflation the public reduces the real amount of money it holds, so that the far right-hand term in Equation 16-3, M/P, gets smaller. Suppose that the government needs to print enough money to pay for a given quantity of goods and services—that is, it needs to collect a given real amount of seignorage. Then, as the real money supply, M/P, falls as people hold smaller amounts of real money, the government has to respond by accelerating the rate of growth of the money supply, ΔM/M. This will lead to an even higher rate of inflation. And people will respond to this new higher rate of inflation by reducing their real money holdings, M/P, yet again. As the process becomes selfreinforcing, it can easily spiral out of control. Although the amount of real seigniorage that the government must ultimately collect to pay off its deficit does not change, the inflation rate the government needs to impose to collect that amount rises. So the government is forced to increase the money supply more rapidly, leading to an even higher rate of inflation, and so on.

Here’s an analogy: imagine a city government that tries to raise a lot of money with a special fee on taxi rides. The fee will raise the cost of taxi rides, and this will cause people to turn to easily available substitutes, such as walking or taking the bus. As taxi use declines, the government finds that its tax revenue declines and it must impose a higher fee to raise the same amount of revenue as before. You can imagine the ensuing vicious circle: the government imposes fees on taxi rides, which leads to less taxi use, which causes the government to raise the fee on taxi rides, which leads to even less taxi use, and so on.

Substitute the real money supply for taxi rides and the inflation rate for the increase in the fee on taxi rides, and you have the story of hyperinflation. A race develops between the government printing presses and the public: the presses churn out money at a faster and faster rate, to try to compensate for the fact that the public is reducing its real money holdings. At some point the inflation rate explodes into hyperinflation, and people are unwilling to hold any money at all (and resort to trading in eggs and lumps of coal). The government is then forced to abandon its use of the inflation tax and shut down the printing presses.

ZIMBABWE’S INFLATION

As we noted in this chapter’s opening story, Zimbabwe offers a recent example of a country experiencing very high inflation. Figure 16-2 showed that surges in Zimbabwe’s money supply growth were matched by almost simultaneous surges in its inflation rate. But looking at rates of change doesn’t give a true feel for just how much prices went up.

Figure 16-3 shows Zimbabwe’s consumer price index from January 2000 to July 2008, with the January 2000 level set equal to 100. As in Figure 16-2, we also use a logarithmic scale. Over the course of just over eight years, consumer prices rose by approximately 80 trillion percent.

Figure16-3Consumer Prices in Zimbabwe, 2000–2008Source: International Monetary Fund.

Why did Zimbabwe’s government pursue policies that led to runaway inflation? The reason boils down to political instability, which in turn had its roots in Zimbabwe’s history. Until the 1970s, Zimbabwe had been ruled by its small white minority; even after the shift to majority rule, many of the country’s farms remained in the hands of whites. Eventually Robert Mugabe, Zimbabwe’s president, tried to solidify his position by seizing these farms and turning them over to his political supporters. But because this seizure disrupted production, the result was to undermine the country’s economy and its tax base. It became impossible for the country’s government to balance its budget either by raising taxes or by cutting spending. At the same time, the regime’s instability left Zimbabwe unable to borrow money in world markets. Like many others before it, Zimbabwe’s government turned to the printing press to cover the gap—leading to massive inflation.

Quick Review

  • The classical model of the price level does not distinguish between the short and the long run. It explains how increases in the money supply (growth rate) feed directly into inflation. It is a good description of reality only for countries with persistently high inflation or hyperinflation.

  • Governments sometimes print money to cover a budget deficit. The resulting loss in the value of money is called the inflation tax.

  • A high inflation rate causes people to reduce their real money holdings, leading to the printing of more money and higher inflation in order to collect the inflation tax. This can cause a self-reinforcing spiral into hyperinflation.

Check Your Understanding 16-1

CHECK YOUR UNDERSTANDING 16-1

Question 16.1

Suppose there is a large increase in the money supply in an economy that previously had low inflation. As a consequence, aggregate output expands in the short run. What does this say about situations in which the classical model of the price level applies?

The inflation rate is more likely to quickly reflect changes in the money supply when the economy has had an extended period of high inflation. That’s because an extended period of high inflation sensitizes workers and firms to raise nominal wages and prices of intermediate goods when the aggregate price level rises. As a result, there will be little or no increase in real output in the short run after an increase in the money supply, and the increase in the money supply will simply be reflected in an equal-sized percent increase in prices. In an economy where people are not sensitized to high inflation because of low inflation in the past, an increase in the money supply will lead to an increase in real output in the short run. This illustrates the fact that the classical model of the price level best applies to economies with persistently high inflation, not those with little or no history of high inflation even though they may currently have high inflation.

Question 16.2

Suppose that all wages and prices in an economy are indexed to inflation—that is, wages and prices are automatically adjusted to incorporate the latest inflation figures. Can there still be an inflation tax?

Yes, there can still be an inflation tax because the tax is levied on people who hold money. As long as people hold money, regardless of whether prices are indexed or not, the government is able to use seignorage to capture real resources from the public.