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Answers to Textbook Questions and Problems CHAPTER 18 Alternative Perspectives on Stabilization Policy Questions for Review 1. The inside lag is the time it takes for policymakers to recognize that a shock has hit the economy and to put the appropriate policies into effect. Once a policy is in place, the outside lag is the amount of time it takes for the policy action to influence the economy. This lag arises because it takes time for spending, income, and employment to respond to the change in policy. Fiscal policy has a long inside lag—for example, it can take years from the time a tax change is proposed until it becomes law. Monetary policy has a relatively short inside lag. Once the Fed decides a policy change is needed, it can make the change in days or weeks. Monetary policy, however, has a long outside lag. An increase in the money supply affects the economy by lowering interest rates, which, in turn, increases investment. But many firms make investment plans far in advance. Thus, from the time the Fed acts, it takes about six months before the effects show up in real GDP. 2. Both monetary and fiscal policy work with long lags. As a result, in deciding whether policy should expand or contract aggregate demand, we must predict what the state of the economy will be six months to a year in the future. One way economists try to forecast developments in the economy is with the index of leading indicators. It comprises 11 data series that often fluctuate in advance of the economy, such as stock prices, the number of building permits issued, the value of orders for new plants and equipment, and the money supply. A second way forecasters look ahead is with models of the economy. These large-scale computer models have many equations, each representing a part of the economy. Once we make assumptions about the path of the exogenous variables—taxes, government spending, money supply, price of oil, and so forth—the models yield predictions about the paths of unemployment, inflation, output, and other endogenous variables. 3. The way people respond to economic policies depends on their expectations about the future. These expectations depend on many things, including the economic policies that the government pursues. The Lucas critique of economic policy argues that traditional methods of policy evaluation do not adequately take account of the way policy affects expectations. For example, the sacrifice ratio—the number of percentage points of GDP that must be forgone to reduce inflation by 1 percentage point—depends on individuals’ expectations of inflation. We cannot simply assume that these expectations will remain constant, or will adjust only slowly, no matter what policies the government pursues; instead, these expectations will depend on what the Fed does. 4. A person’s view of macroeconomic history affects his or her view of whether macroeconomic policy should play an active role or a passive role. If one believes that the economy has experienced many large shocks to aggregate supply and aggregate demand, and if policy has successfully insulated the economy from these shocks, then the case for active policy is clear. Conversely, if one believes that the economy has experienced few large shocks, and if the fluctuations we observe can be traced to inept economic policy, then the case for passive policy is clear. 5. The problem of time inconsistency arises because expectations of future policies affect how people act today. As a result, policymakers may want to announce today the policy they intend to follow in the future, in order to influence the expectations held by private decision makers. Once these private decision makers have acted on their expectations, the policymakers may be tempted to renege on their announcement. For example, your professor has an incentive to announce that there will be a final exam in your course, so that you study and learn the material. On the morning of the exam, when you have already studied and learned all the material, the professor might be tempted to cancel the exam so that he or she does not have to grade it. Similarly, the government has an incentive to announce that it will not negotiate with terrorists. If terrorists believe that they have nothing to gain by kidnapping hostages, then they will not do so. However, once hostages are kidnapped, the government faces a strong temptation to negotiate and make concessions. In monetary policy, suppose the Fed announces a policy of low inflation, and everyone believes the announcement. The Fed then has an incentive to raise inflation, because it faces a favorable tradeoff between inflation and unemployment. The problem with situations in which time inconsistency arises is that people are led to distrust policy announcements. Then, students do not study for their exams, terrorists kidnap hostages, and the Fed faces an unfavorable tradeoff. In these situations, a rule that commits the policymaker to a particular policy can sometimes help the policymaker achieve his or her goals—students study, terrorists do not take hostages, and inflation remains low. 6. One policy rule that the Fed might follow is to allow the money supply to grow at a constant rate. Monetarist economists believe that most large fluctuations in the economy result from fluctuations in the money supply; hence, a rule of steady money growth would prevent these large fluctuations. A second policy rule is a nominal GDP target. Under this rule, the Fed would announce a planned path for nominal GDP. If nominal GDP were below this target, for example, the Fed would increase money growth to stimulate aggregate demand. An advantage of this policy rule is that it would allow monetary policy to adjust to changes in the velocity of money. A third policy rule is an inflation target. The Fed would announce a target for the inflation rate and adjust the money supply when actual inflation deviated from its target. This rule helps insulate the economy from changes in velocity and is easy to explain to the public. Problems and Applications 1. Suppose the economy has a Phillips curve: u = un – α(π – Eπ). As usual, this implies that if inflation is lower than expected, then unemployment rises above its natural rate, and there is a recession. Similarly, if inflation is higher than expected, then unemployment falls below its natural rate, and there is a boom. Also, suppose that the Democratic party always follows a policy of high money growth and high inflation (call it πD), whereas the Republican party always follows a policy of low money growth and low inflation (call it πR). a. The pattern of the political business cycle we observe depends on the inflation rate people expect at the beginning of each term. If expectations are perfectly rational and contracts can be adjusted immediately when a new party comes into power, then there will be no political business cycle pattern to unemployment. For example, if the Democrats win the coin flip, people immediately expect high inflation. Because π = πD = Eπ, the Democrats’ monetary policy will have no effect on the real economy. We do observe a political business cycle pattern to inflation, in which Democrats have high inflation and Republicans have low inflation. Now suppose that contracts are long enough that nominal wages and prices cannot be adjusted immediately. Before the result of the coin flip is known, there is a 50-percent chance that inflation will be high and a 50-percent chance that inflation will be low. Thus, at the beginning of each term, if people’s expectations are rational, they expect an inflation rate of Eπ = 0.5πD + 0.5πR. If Democrats win the coin toss, then π > πe initially, and unemployment falls below its natural rate. Hence, there is a boom at the beginning of Democratic terms. Over time, inflation rises to πD, and unemployment returns to its natural rate. If Republicans win, then inflation is lower than expected, and unemployment rises above its natural rate. Hence, there is a recession at the beginning of Republican terms. Over time, inflation falls to πR, and unemployment returns to its natural rate. b. If the two parties take turns, then there will be no political business cycle to unemployment, since everyone knows which party will be in office, so everyone knows whether inflation will be high or low. Even long-lasting contracts will take the actual inflation rate into account, since all future inflation rates are known with certainty. Inflation will alternate between a high level and a low level, depending on which party is in power. c. The advantage of having an independent central bank set monetary policy is that this bypasses the political business cycle. If elected officials are responsible for setting monetary policy, then they can in theory use policy to their advantage and randomly or arbitrarily set policy in order to help themselves get reelected. If the two parties in this example agree to take turns setting policy, then the result will be some of the same advantages of having monetary policy set by an independent central bank. By taking turns, people know exactly what to expect and so can plan and act accordingly. Inflation will still alternate between a high level and a low level, but it would be predictable and therefore less costly. An independent central bank would have the added advantage of being able, at least in theory, to always maintain a low and stable inflation rate. 2. There is a time-inconsistency problem with an announcement that new buildings will be exempt from rent-control laws. Before new housing is built, a city has an incentive to promise this exemption: landlords then expect to receive high rents from the new housing they provide. Once the new housing has been built, however, a city has an incentive to renege on its promise not to extend rent control. That way, many tenants gain while a few landlords lose. The problem is that builders might expect the city to renege on its promise; as a result, they may not build new buildings. 3. a. If the central bank commits to a target 5-percent inflation rate, then the expected inflation rate will be equal to 5 percent. If it follows through and actual inflation is equal to 5 percent, then the unemployment rate will be 5 percent. Plugging these values into the loss function results in a loss of 6.25. b. If the central bank commits to a target zero inflation rate, then the expected inflation rate will be equal to 0 percent. If it follows through and actual inflation is equal to 0 percent, then the unemployment rate will be 5 percent. Plugging these values into the loss function results in a loss of 5. c. The zero inflation rate target results in a smaller loss, so this would be the better choice. d. If the central bank commits to a target zero inflation rate, then the expected inflation rate will be equal to 0 percent. If it does not follow through and actual inflation is equal to 5 percent, then the unemployment rate will be 2.5 percent. Plugging these values into the loss function results in a loss of 3.75. e. This example illustrates the problem of time inconsistency. The central bank may want to announce a zero inflation rate target so that people will form their expectations based on this announced target. Later, the central bank may be tempted to change this policy and allow higher inflation so that the unemployment rate will fall. If the central bank does this frequently, then its announcements will no longer be credible. 4. The Federal Reserve Web site (www.federalreserve.gov) has many items that are relevant to a macroeconomics course. For example, following the links to “Monetary Policy” (www.federalreserve.gov/policy.htm) take you to material from the Federal Open Market Committee meetings and to testimony given by the Federal Reserve Chair twice a year to Congress. Other links take you to speeches or testimony by the Chair or members of the Board of Governors of the Federal Reserve System. Note that the Web site also contains many items that are not related to macroeconomics. (For example, if you check the “Press Release” link on the Web site, you are likely to find many items that concern regulatory matters, since the Federal Reserve plays an important role in regulating the banking system.) More Problems and Applications to Chapter 18 1. a. In the model so far, nothing happens to the inflation rate when the natural rate of unemployment changes. b. The new loss function is L(u, π) = u2 + γπ2. The first step is to solve for the Fed’s choice of inflation, for any given inflationary expectations. Substituting the Phillips curve into the loss function, we find L(u, π) = [un – α(π – Eπ)]2 + γπ2. We now differentiate with respect to inflation π, and set this first-order condition equal to zero: dL/dπ = 2α2(π – Eπ) – 2αun + 2 γπ = 0 or, π = (α2Eπ + αun)/(α2 + γ). Of course, rational agents understand that the Fed will choose this level of inflation. Expected inflation equals actual inflation, so the above equation simplifies to π = αun/γ. c. When the natural rate of unemployment rises, the inflation rate also rises. Why? The Fed’s dislike for a marginal increase in unemployment now rises as unemployment rises. Hence, private agents know that the Fed has a greater incentive to inflate when the natural rate is higher. Hence, the equilibrium inflation rate also rises. d. Appointing a conservative central banker means that γ rises. Hence, the equilibrium inflation rate falls. What happens to unemployment depends on how quickly inflationary expectations adjust. If they adjust immediately, then there is no change in unemployment, which remains at the natural rate. If expectations adjust slowly, however, then, from the Phillips curve, the fall in inflation causes unemployment to rise above the natural rate. IN THIS CHAPTER, YOU WILL LEARN: about two policy debates: 1. Should policy be active or passive? 2. Should policy be by rule or discretion? 1 Question 1: Should policy be active or passive? CHAPTER 18 Alternative Perspectives on Stabilization Policy 2 Arguments for active policy ▪ Recessions cause economic hardship for millions of people. ▪ The Employment Act of 1946: “It is the continuing policy and responsibility of the Federal Government to…promote full employment and production.” ▪ The model of aggregate demand and supply (Chaps. 10–14) shows how fiscal and monetary policy can respond to shocks and stabilize the economy. Arguments against active policy Policies act with long & variable lags, including: inside lag: the time between the shock and the policy response. ▪ takes time to recognize shock ▪ takes time to implement policy, especially fiscal policy outside lag: the time it takes for policy to affect economy. If conditions change before policy’s impact is felt, the policy may destabilize the economy. Automatic stabilizers ▪ definition: policies that stimulate or depress the economy when necessary without any deliberate policy change. ▪ Designed to reduce the lags associated with stabilization policy. ▪ Examples: ▪ income tax ▪ unemployment insurance ▪ welfare Forecasting the macroeconomy Because policies act with lags, policymakers must predict future conditions. Two ways economists generate forecasts: ▪ Leading economic indicators (LEI) data series that fluctuate in advance of the economy ▪ Macroeconometric models Large-scale models with estimated parameters that can be used to forecast the response of endogenous variables to shocks and policies The LEI index and real GDP, 1960s Leading Economic Indicators Real GDP source of LEI data: The Conference Board The LEI index and real GDP, 1970s Leading Economic Indicators Real GDP source of LEI data: The Conference Board The LEI index and real GDP, 1980s Leading Economic Indicators Real GDP source of LEI data: The Conference Board The LEI index and real GDP, 1990s Leading Economic Indicators Real GDP source of LEI data: The Conference Board Mistakes forecasting the 1982 recession Forecasting the macroeconomy Because policies act with lags, policymakers must predict future conditions. The preceding slides show that the forecasts are often wrong. This is one reason why some economists oppose policy activism. The Lucas critique ▪ Due to Robert Lucas who won Nobel Prize in 1995 for his work on rational expectations. ▪ Forecasting the effects of policy changes has often been done using models estimated with historical data. ▪ Lucas pointed out that such predictions would not be valid if the policy change alters expectations in a way that changes the fundamental relationships between variables. An example of the Lucas critique ▪ Prediction (based on past experience): An increase in the money growth rate will reduce unemployment. ▪ The Lucas critique points out that increasing the money growth rate may raise expected inflation, in which case unemployment would not necessarily fall. The Jury’s out… Looking at recent history does not clearly answer Question 1: ▪ It’s hard to identify shocks in the data. ▪ It’s hard to tell how outcomes would have been different had actual policies not been used. Question 2: Should policy be conducted by rule or discretion? Rules and discretion: Basic concepts ▪ Policy conducted by rule: Policymakers announce in advance how policy will respond in various situations and commit themselves to following through. ▪ Policy conducted by discretion: As events occur and circumstances change, policymakers use their judgment and apply whatever policies seem appropriate at the time. Arguments for rules 1. Distrust of policymakers and the political process ▪ misinformed politicians ▪ politicians’ interests sometimes not the same as the interests of society Arguments for rules 2. The time inconsistency of discretionary policy ▪ def: A scenario in which policymakers have an incentive to renege on a previously announced policy once others have acted on that announcement. ▪ Destroys policymakers’ credibility, thereby reducing effectiveness of their policies. 1. To encourage investment, govt announces it will not tax income from capital. But once the factories are built, govt reneges in order to raise more tax revenue. 2. To reduce expected inflation, the central bank announces it will tighten monetary policy. But faced with high unemployment, the central bank may be tempted to cut interest rates. 3. Aid is given to poor countries contingent on fiscal reforms. The reforms do not occur, but aid is given anyway, because the donor countries do not want the poor countries’ citizens to starve. a. Constant money supply growth rate ▪Advocated by monetarists. ▪Stabilizes aggregate demand only if velocity is stable. a. Constant money supply growth rate b. Target growth rate of nominal GDP ▪Automatically increase money growth whenever nominal GDP grows slower than targeted; decrease money growth when nominal GDP growth exceeds target. a. Constant money supply growth rate b. Target growth rate of nominal GDP c. Target the inflation rate ▪ Automatically reduce money growth whenever inflation rises above the target rate. ▪ Many countries’ central banks now practice inflation targeting but allow themselves a little discretion. Central bank independence ▪ A policy rule announced by central bank will work only if the announcement is credible. ▪ Credibility depends in part on degree of independence of central bank. C H A P T E R S U M M A R Y 1. Advocates of active policy believe: ▪ frequent shocks lead to unnecessary fluctuations in output and employment. ▪ fiscal and monetary policy can stabilize the economy. 2. Advocates of passive policy believe: ▪ the long & variable lags associated with monetary and fiscal policy render them ineffective and possibly destabilizing. ▪ inept policy increases volatility in output, employment. C H A P T E R S U M M A R Y 3. Advocates of discretionary policy believe: ▪ discretion gives more flexibility to policymakers in responding to the unexpected. 4. Advocates of policy rules believe: ▪ the political process cannot be trusted: Politicians make policy mistakes or use policy for their own interests. ▪ commitment to a fixed policy is necessary to avoid time inconsistency and maintain credibility. Solution Manual for Macroeconomics Gregory N. Mankiw 9781464182891, 9781319106058

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