Добавил:
Upload Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:
0554541_86F5E_mankiw_n_gregory_macroeconomics.pdf
Скачиваний:
411
Добавлен:
16.03.2015
Размер:
3.88 Mб
Скачать

C H A P T E R 1 3 Aggregate Supply and the Short-Run Tradeoff Between Inflation and Unemployment | 401

13-3 Conclusion

We began this chapter by discussing two models of aggregate supply, each of which focuses on a different reason why, in the short run, output rises above its natural level when the price level rises above the level that people had expected. Both models explain why the short-run aggregate supply curve is upward sloping, and both yield a short-run tradeoff between inflation and unemployment. A convenient way to express and analyze that tradeoff is with the Phillips curve equation, according to which inflation depends on expected inflation, cyclical unemployment, and supply shocks.

Keep in mind that not all economists endorse all the ideas discussed here. There is widespread disagreement, for instance, about the practical importance of rational expectations and the relevance of hysteresis. If you find it difficult to fit all the pieces together, you are not alone. The study of aggregate supply remains one of the most unsettled—and therefore one of the most exciting—research areas in macroeconomics.

Summary

1.The two theories of aggregate supply—the sticky-price and imperfect-information models—attribute deviations of output and employment from their natural levels to various market imperfections. According to both theories, output rises above its natural level when the price level exceeds the expected price level, and output falls below its natural level when the price level is less than the expected price level.

2.Economists often express aggregate supply in a relationship called the Phillips curve. The Phillips curve says that inflation depends on

expected inflation, the deviation of unemployment from its natural rate, and supply shocks. According to the Phillips curve, policymakers who control aggregate demand face a short-run tradeoff between inflation and unemployment.

3.If expected inflation depends on recently observed inflation, then inflation has inertia, which means that reducing inflation requires either a beneficial supply shock or a period of high unemployment and reduced output. If people have rational expectations, however, then a credible announcement of a change in policy might be able to influence expectations directly and, therefore, reduce inflation without causing a recession.

4.Most economists accept the natural-rate hypothesis, according to which fluctuations in aggregate demand have only short-run effects on output and unemployment. Yet some economists have suggested ways in which recessions can leave permanent scars on the economy by raising the natural rate of unemployment.

402 | P A R T I V Business Cycle Theory: The Economy in the Short Run

K E Y C O N C E P T S

Sticky-price model

Demand-pull inflation

Natural-rate hypothesis

Imperfect-information model

Cost-push inflation

Hysteresis

Phillips curve

Sacrifice ratio

 

Adaptive expectations

Rational expectations

 

Q U E S T I O N S F O R R E V I E W

1.Explain the two theories of aggregate supply. On what market imperfection does each theory rely? What do the theories have in common?

2.How is the Phillips curve related to aggregate supply?

3.Why might inflation be inertial?

4.Explain the differences between demand-pull inflation and cost-push inflation.

5.Under what circumstances might it be possible to reduce inflation without causing a recession?

6.Explain two ways in which a recession might raise the natural rate of unemployment.

P R O B L E M S A N D A P P L I C A T I O N S

1.In the sticky-price model, describe the aggregate supply curve in the following special cases. How do these cases compare to the short-run aggregate supply curve we discussed in Chapter 9?

a.No firms have flexible prices (s = 1).

b.The desired price does not depend on aggregate output (a = 0).

2.Suppose that an economy has the Phillips curve

p = p−1 – 0.5(u 0.06).

a.What is the natural rate of unemployment?

b.Graph the short-run and long-run relationships between inflation and unemployment.

c.How much cyclical unemployment is necessary to reduce inflation by 5 percentage points? Using Okun’s law, compute the sacrifice ratio.

d.Inflation is running at 10 percent. The Fed wants to reduce it to 5 percent. Give two scenarios that will achieve that goal.

3.According to the rational-expectations approach, if everyone believes that policymakers are committed to reducing inflation, the cost of reducing inflation—the sacrifice ratio—will be lower than if the public is skeptical about the policymakers’ intentions. Why might this be true? How might credibility be achieved?

4.Suppose that the economy is initially at a longrun equilibrium. Then the Fed increases the money supply.

a.Assuming any resulting inflation to be unexpected, explain any changes in GDP, unemployment, and inflation that are caused by the monetary expansion. Explain your conclusions using three diagrams: one for the IS–LM model, one for the AD–AS model, and one for the Phillips curve.

b.Assuming instead that any resulting inflation is expected, explain any changes in GDP, unemployment, and inflation that are caused by the monetary expansion. Once again, explain your conclusions using three

C H A P T E R 1 3 Aggregate Supply and the Short-Run Tradeoff Between Inflation and Unemployment | 403

diagrams: one for the IS–LM model, one for the AD–AS model, and one for the Phillips curve.

5.Assume that people have rational expectations and that the economy is described by the sticky-price model. Explain why each of the following propositions is true.

a.Only unanticipated changes in the money supply affect real GDP. Changes in the money supply that were anticipated

when prices were set do not have any real effects.

b.If the Fed chooses the money supply at the same time as people are setting prices, so that everyone has the same information about the state of the economy, then monetary policy cannot be used systematically to stabilize output. Hence, a policy of keeping the money supply constant will have the same real effects as a policy of adjusting the money supply in response to the state of the economy. (This is called the policy irrelevance proposition.)

c.If the Fed sets the money supply well after people have set prices, so that the Fed has collected more information about the state of the economy, then monetary

policy can be used systematically to stabilize output.

6.Suppose that an economy has the Phillips curve

p = p−1 – 0.5(u un),

and that the natural rate of unemployment is given by an average of the past two years’ unemployment:

un = 0.5(u−1 + u−2).

a.Why might the natural rate of unemployment depend on recent unemployment (as is assumed in the preceding equation)?

b.Suppose that the Fed follows a policy to reduce permanently the inflation rate by

1 percentage point. What effect will that policy have on the unemployment rate over time?

c.What is the sacrifice ratio in this economy? Explain.

d.What do these equations imply about the short-run and long-run tradeoffs between inflation and unemployment?

7.Some economists believe that taxes have an important effect on the labor supply. They argue that higher taxes cause people to want to work less and that lower taxes cause them to want to work more. Consider how this effect alters the macroeconomic analysis of tax changes.

a.If this view is correct, how does a tax cut affect the natural level of output?

b.How does a tax cut affect the aggregate demand curve? The long-run aggregate supply curve? The short-run aggregate supply curve?

c.What is the short-run impact of a tax cut on output and the price level? How does your answer differ from the case without the laborsupply effect?

d.What is the long-run impact of a tax cut on output and the price level? How does your answer differ from the case without the laborsupply effect?

8.Economist Alan Blinder, whom Bill Clinton appointed to be vice chairman of the Federal Reserve, once wrote the following:

The costs that attend the low and moderate inflation rates experienced in the United States and in other industrial countries appear to be quite modest— more like a bad cold than a cancer on society. . . . As rational individuals, we do not volunteer for a lobotomy to cure a head cold. Yet, as a collectivity, we routinely prescribe the economic equivalent of lobotomy (high unemployment) as a cure for the inflationary cold.13

13 Alan Blinder, Hard Heads, Soft Hearts:Tough-Minded Economics for a Just Society (Reading, Mass.: Addison-Wesley, 1987), 5.

404 | P A R T I V Business Cycle Theory: The Economy in the Short Run

What do you think Blinder meant by this? What are the policy implications of the viewpoint Blinder is advocating? Do you agree? Why or why not?

9.Go to the Web site of the Bureau of Labor Statistics (www.bls.gov). For each of the past five years, find the inflation rate as measured by the consumer price index for all items (sometimes

called headline inflation) and as measured by the CPI excluding food and energy (sometimes called core inflation). Compare these two measures of inflation. Why might they be different? What might the difference tell you about shifts in the aggregate supply curve and in the short-run Phillips curve?

A P P E N D I X

The Mother of All Models

In the previous chapters, we have seen many models of how the economy works. When learning these models, it can be hard to see how they are related. Now that we have finished developing the model of aggregate demand and aggregate supply, this is a good time to look back at what we have learned. This appendix sketches a large, comprehensive model that incorporates much of the theory we have already seen, including the classical theory presented in Part Two and the business cycle theory presented in Part Four. The notation and equations should be familiar from previous chapters. The goal is to put much of our previous analysis into a common framework to clarify the relationships among the various models.

The model has seven equations:

Y

= C(Y T ) + I(r) + G + NX(e)

IS: Goods Market Equilibrium

M/P

= L(i,Y )

LM: Money Market Equilibrium

NX(e) = CF(r r*)

Foreign Exchange Market

 

 

Equilibrium

i = r + Ep

Relationship Between Real and

 

 

Nominal Interest Rates

e = eP/P*

Relationship Between Real and

 

 

Nominal Exchange Rates

 

 

Y = Y + a(P EP )

Aggregate Supply

− −

Natural Level of Output

Y

= F(K , L )

These seven equations determine the equilibrium values of seven endogenous

variables: output Y, the natural level of output Y , the real interest rate r, the nominal interest rate i, the real exchange rate e, the nominal exchange rate e, and the price level P.

There are many exogenous variables that influence these endogenous variables. They include the money supply M, government purchases G, taxes T, the capital stock K, the labor force L, the world price level P*, and the world real interest rate r *. In addition, there are two expectation variables: the expectation of future inflation Ep and the expectation of the current price level formed in the past EP. As written, the model takes these expectations as exogenous, although additional equations could be added to make them endogenous.

Although mathematical techniques are available to analyze this seven-equation model, they are beyond the scope of this book. But this large model is still useful, because we can use it to see how the smaller models we have examined are

405

Exchange Rate
gate Supply

406 | P A R T I V Business Cycle Theory: The Economy in the Short Run

related to one another. In particular, many of the models we have been studying are special cases of this large model. Let’s consider six special cases in particular. (A problem at the end of this section examines a few more.)

Special Case 1: The Classical Closed Economy Suppose that EP =

P, L(i, Y ) = (1/V )Y, and CF(r r*) = 0. In words, these equations mean that expectations of the price level adjust so that expectations are correct, that money demand is proportional to income, and that there are no international capital flows. In this case, output is always at its natural level, the real interest rate adjusts to equilibrate the goods market, the price level moves parallel with the money supply, and the nominal interest rate adjusts one-for-one with expected inflation. This special case corresponds to the economy analyzed in Chapters 3 and 4.

Special Case 2: The Classical Small Open Economy Suppose that

EP = P, L(i, Y ) = (1/V )Y, and CF(r r *) is infinitely elastic. Now we are examining the special case when international capital flows respond greatly to any differences between the domestic and world interest rates. This means that r = r* and that the trade balance NX equals the difference between saving and investment at the world interest rate. This special case corresponds to the economy analyzed in Chapter 5.

Special Case 3: The Basic Model of Aggregate Demand and Aggre-

Suppose that a is infinite and L(i, Y ) = (1/V )Y. In this case, the short-run aggregate supply curve is horizontal, and the aggregate demand curve is determined only by the quantity equation. This special case corresponds to the economy analyzed in Chapter 9.

Special Case 4: The IS–LM Model Suppose that a is infinite and CF(r r*) = 0. In this case, the short-run aggregate supply curve is horizontal, and there are no international capital flows. For any given level of expected inflation Ep, the level of income and interest rate must adjust to equilibrate the goods market and the money market. This special case corresponds to the economy analyzed in Chapters 10 and 11.

Special Case 5: The Mundell–Fleming Model With a Floating

Suppose that a is infinite and CF(r r *) is infinitely elastic. In this case, the short-run aggregate supply curve is horizontal, and international capital flows are so great as to ensure that r = r *. The exchange rate floats freely to reach its equilibrium level. This special case corresponds to the first economy analyzed in Chapter 12.

Special Case 6: The Mundell–Fleming Model With a Fixed Exchange Rate Suppose that a is infinite, CF(r r*) is infinitely elastic, and the nominal exchange rate e is fixed. In this case, the short-run aggregate supply curve is horizontal, huge international capital flows ensure that r = r*, but the exchange rate is set by the central bank. The exchange rate is now an exogenous policy variable, but the money supply M is an endogenous variable that must adjust to ensure the exchange rate hits the fixed level. This special case corresponds to the second economy analyzed in Chapter 12.

C H A P T E R 1 3 Aggregate Supply and the Short-Run Tradeoff Between Inflation and Unemployment | 407

You should now see the value in this big model. Even though the model is too large to be useful in developing an intuitive understanding of how the economy works, it shows that the different models we have been studying are closely related. In each chapter, we made some simplifying assumptions to make the big model smaller and easier to understand.

Figure 13-6 presents a schematic diagram that illustrates how various models are related. In particular, it shows how, starting with the mother of all models above, you can arrive at some of the models examined in previous chapters. Here are the steps:

1.Classical or Keynesian? You decide whether you want a classical special case (which occurs when EP = P or when a equals zero, so output is at its natural level) or a

FIGURE 13-6

 

 

The Mother of All Models

 

 

 

 

(Chapter 13 Appendix)

 

 

 

 

Classical

Keynesian

 

 

Closed

Open

 

Closed

Open

 

Classical closed

 

 

IS–LM model

 

 

economy

 

 

(Chapters 10

 

 

(Chapters 3 and 4)

 

 

and 11)

 

 

Small

Large

Fixed Velocity

 

 

 

 

 

 

 

Basic AD–AS

 

 

 

 

 

model

 

 

Classical small

 

Classical large

(Chapter 9)

 

 

 

 

 

 

open economy

 

open economy

 

 

 

(Chapter 5)

 

(Chapter 5 Appendix)

 

Small

Large

 

 

 

 

 

 

Floating rate

 

 

Fixed rate

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Short-run model of the

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

large open economy

Mundell–Fleming model

 

Mundell–Fleming model

 

(Chapter 12 Appendix)

 

 

 

 

 

with floating exchange

 

 

 

with fixed exchange

 

 

 

 

rate (Chapter 12)

 

 

 

rate (Chapter 12)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

How Models Are Related This schematic diagram illustrates how the large, comprehensive model presented in this appendix is related to the smaller, simpler models developed in earlier chapters.

408 | P A R T I V Business Cycle Theory: The Economy in the Short Run

Keynesian special case (which occurs when a equals infinity, so the price level is completely fixed).

2.Closed or Open? You decide whether you want a closed economy (which occurs when the capital flow CF always equals zero) or an open economy (which allows CF to differ from zero).

3.Small or Large? If you want an open economy, you decide whether you want a small one (in which CF is infinitely elastic at the world interest rate r*) or a large one (in which the domestic interest rate is not pinned down by the world rate).

4.Floating or Fixed? If you are examining a small open economy, you decide whether the exchange rate is floating (in which case the central bank sets the money supply) or fixed (in which case the central bank allows the money supply to adjust).

5.Fixed velocity? If you are considering a closed economy with the Keynesian assumption of fixed prices, you decide whether you want to focus on the special case in which velocity is exogenously fixed.

By making this series of modeling decisions, you move from the more complete and complex model to a simpler, more narrowly focused special case that is easier to understand and use.

When thinking about the real world, it is important to keep in mind all the models and their simplifying assumptions. Each of these models provides insight into some facet of the economy.

M O R E P R O B L E M S A N D A P P L I C A T I O N S

1.Let’s consider some more special cases of this large model. Starting with the large model, what extra assumptions would you need to yield each of the following models?

a.The model of the classical large open economy in the appendix to Chapter 5.

b.The Keynesian cross in the first half of Chapter 10.

c.The IS–LM model for the large open economy in the appendix to Chapter 12.

C H A P T E R 14

A Dynamic Model of Aggregate

Demand and Aggregate Supply

The important thing in science is not so much to obtain new facts as to discover

new ways of thinking about them.

William Bragg

This chapter continues our analysis of short-run economic fluctuations. It presents a model that we will call the dynamic model of aggregate demand and aggregate supply. This model offers another lens through which to view the

business cycle and the effects of monetary and fiscal policy.

As the name suggests, this new model emphasizes the dynamic nature of economic fluctuations. The dictionary defines the word “dynamic” as “relating to energy or objects in motion, characterized by continuous change or activity.” This definition applies readily to economic activity. The economy is continually bombarded by various shocks. These shocks have an immediate impact on the economy’s short-run equilibrium, and they also affect the subsequent path of output, inflation, and many other variables. The dynamic AD –AS model focuses attention on how output and inflation respond over time to exogenous changes in the economic environment.

In addition to placing greater emphasis on dynamics, the model differs from our previous models in another significant way: it explicitly incorporates the response of monetary policy to economic conditions. In previous chapters, we followed the conventional simplification that the central bank sets the money supply, which in turn is one determinant of the equilibrium interest rate. In the real world, however, many central banks set a target for the interest rate and allow the money supply to adjust to whatever level is necessary to achieve that target. Moreover, the target interest rate set by the central bank depends on economic conditions, including both inflation and output. The dynamic AD –AS model builds in these realistic features of monetary policy.

Although the dynamic AD –AS model is new to the reader, most of its components are not. Many of the building blocks of this model will be familiar from previous chapters, even though they sometimes take on slightly different forms. More important, these components are assembled in new ways. You can think of this model as a new recipe that mixes familiar ingredients to

409