CHAPTER 7 THE ANATOMY OF INFLATION AND UNEMPLOYMENT

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1 CHAPTER 7 THE ANATOMY OF INFLATION AND UNEMPLOYMENT Chapter Outline: The sacrifice ratio and Okun's law Variations in unemployment across groups Duration and frequency of unemployment The natural rate of unemployment Unemployment hysteresis International comparisons The cost of unemployment and inflation Inflation and interest rates Indexation Political cycles Changes from the Previous Edition: All figures and tables in this chapter have been updated. Box 7-3 now explains the changing average hours worked per week in both the manufacturing and services sectors. Figure 7-3 is new and shows how the actual and natural rate of unemployment has changed over the last five decades. Figure 1 in Box 7-5 is also new, depicting how unemployment rates in four European countries have compared to the U.S. rate over the last four decades. In Section 7-7, the discussion of alternative policy paths has been eliminated. Introduction to the Material: Periods of either high unemployment or high inflation are undesirable and should be avoided. But since there seems to be at least a short-run tradeoff between the two, a good understanding of the relative costs of these two economic problems is important. There is high turnover in the labor market with constant flows into and out of the unemployment pool. Most of this turnover is cyclical and most workers remain unemployed for fairly short periods of time. However, there is concern that many workers do experience long-term unemployment, which significantly reduces their earnings potential. Overall we see fairly large variations in unemployment rates across different groups in the labor force. Since the overall rate of unemployment is the weighted average of the unemployment rates of these different groups, some variation in the rate of unemployment results from the changing composition of the labor force. Frictional unemployment is the unemployment rate that results from imperfections in the labor market. There are always workers who are between jobs, even if the economy is at the full-employment level of output. Unemployment in excess of this "natural" rate is called cyclical unemployment since it occurs when output is below the full-employment level. When looking at the implications of unemployment, it is important to distinguish between the duration and frequency of unemployment. The duration of unemployment is the average length of time a person remains unemployed. In the past, there was a strong correlation between the duration and severity 86

2 of unemployment but in the 1990s this relation has weakened. In addition to the cyclical factors that determine the duration of unemployment there are also four structural characteristics: the organization of the labor force, the demographic make-up of the labor force, the availability of unemployment benefits, the desire of some of the unemployed to continue their search for better jobs. The frequency of unemployment is the average number of times, per period, that a worker becomes unemployed. It depends on two factors: the variability of the demand for labor across employers, the rate at which new workers enter the work force. The factors mentioned above determine the natural rate of unemployment. Since these factors constantly change, so does the natural rate. But while the natural rate varies over time, economists believe that it can be estimated. For the U.S., the natural rate of unemployment is currently believed to be around 5.5%, but nobody knows for sure. Part of the reason that the natural unemployment rate changes over time is the changing composition of the labor force. One possible explanation for the increase in the natural rate of unemployment in many European countries is that their economies underwent extended periods of high unemployment in the 1980s and 1990s. The idea that long periods of high unemployment may actually contribute to a higher natural unemployment rate is known as unemployment hysteresis, and there are two possible explanations for it. The first is that workers who are unemployed may get accustomed to not being in the work force (while maybe taking on odd jobs even as they receive unemployment benefits) or may get discouraged. The second is that workers with a history of long and/or frequent unemployment may convey the (often unwarranted) signal that they may not have the motivation or skills required to ensure stable employment. The existence of unemployment insurance contributes to unemployment by making it easier for workers to extend their job searches. Unemployment insurance also reduces firms' incentives to create stable employment by reducing the consequences of laying off workers. More generous unemployment benefits, together with the inflexibility of wages (due to more powerful labor unions) and the high cost of firing workers, are often cited as reasons for higher unemployment rates in Europe than in the U.S. or Japan. Workers in Japan, for example, receive a large part of their annual income in bonuses that can be easily cut, thus creating wage flexibility. A reduction in the minimum wage rate for teenagers is often recommended, since many teenagers lack work experience and/or skills. Their employment status is therefore most adversely affected by the minimum wage. The minimum wage law is often cited as increasing unemployment since it forces firms to pay wages above the value of the marginal product of the lowest skilled workers. As a result, firms may simply not hire these workers, increasing the unemployment rate. However, the overall effect of the minimum wage law on the unemployment rate is fairly insignificant. Any negative effects of an increase in the unemployment rate are borne primarily by the unemployed themselves (through psychological and financial hardships), but the cost to society as a whole is also quite significant. The measurable social cost of unemployment is the loss of output, which is only minimally offset by the value placed on the increase in leisure. The loss of output due to inflation is not as direct as the loss of output due to unemployment. The cost of perfectly anticipated inflation is minimal, since wages, taxes, and interest rates can be indexed to ensure that real wages and interest rates remain constant. Only the cost of periodically changing prices 87

3 (so-called menu costs) and the cost of holding cash due to the loss of purchasing power must be considered. However, in most cases inflation is not perfectly anticipated, and a redistribution of income and wealth results. Such distributional effects operate with respect to all assets fixed in nominal terms. If actual inflation is higher than expected, debtors profit while creditors lose. The government may be able to profit from the so-called "bracket creep," as inflation moves workers into higher tax brackets, increasing the real value of tax payments. Since 1985, however, U.S. tax brackets have been indexed, in effect reducing tax revenues. The effects of imperfectly anticipated inflation are particularly strong in long-term mortgage contracts. Housing was a very profitable investment in the 1970s, since the increase in housing prices was at least as great as the increase in the mortgage interest rate; therefore the real cost of borrowing was close to zero. The tax deductibility of mortgage interest payments for homeowners may actually have led to a negative after-tax real cost of borrowing. U.S. banks suffered a great deal from bearing the risk of rapidly rising inflation and responded by creating adjustable rate mortgages, thereby shifting the risk onto homeowners. To avoid the loss of purchasing power from inflation, some wage contracts have cost-of-living adjustments (COLAs), which index the wage rate to the rate of inflation. Such wage indexation works well as long as inflation is caused by an increase in aggregate demand, in which case firms can easily afford to pay higher nominal wages. However, wage indexation prevents downward real wage flexibility, which can be a problem in a supply shock situation. After an adverse supply shock, real wages have to fall to bring the economy back to a full-employment equilibrium position. Because of the decline in the power of unions in the U.S., only about 10% of the U.S. work force is still covered by such COLA provisions. Flexibility of wages is essential in getting the unemployment rate back to the natural rate, but nominal wage cuts are rare. Some economists therefore argue that a low, positive rate of inflation is good for the economy. This idea is in sharp contrast to the "zero inflation" goal that is popular with others. Often, policy makers are more concerned with re-election than with the long-term social welfare of the population. The political business cycle theory suggests that politicians use restraint early in an administration, trying to reduce inflation by increasing unemployment. Later, in hopes of winning reelection, they try to reduce the unemployment rate without immediately increasing inflation. Empirical evidence to support this political cycle theory is mixed at best, however, and there are several factors that work against it. For example, a president may have to worry about midterm congressional elections and also may not have the power to convince the (largely independent) Fed to accommodate such policies. Suggestions for Lecturing: Reviewing the economic events in the U.S. over the last three decades provides a good basis for a discussion of the relationship between inflation and unemployment. In the 1970s, supply shocks caused a simultaneous increase in inflation and unemployment. In the early 1980s, the U.S. experienced doubledigit inflation and double-digit unemployment. A long-lasting expansion, when neither inflation nor unemployment was perceived as a problem, followed the recession of 1981/82. In 1990/91 the economy entered another recession, followed by a fairly strong economic performance in the mid- and late-1990s, creating some worries about renewed inflation. Students are usually aware that the rate of unemployment varies across different groups within the labor force. However, few are aware of the variation in duration and frequency of unemployment among those groups. Instructors may want to ask students to investigate changes in the composition of the labor force and the unemployment rates among different groups from the information given in the Economic Report of the President. They can then calculate the actual rate of unemployment, which may 88

4 be a good (though somewhat tedious) way to make them more familiar with the material. (Technical problems 2 and 3 of Chapter 7 address these issues, and some instructors may want to assign them.) The problems involved in ascertaining the actual unemployment rate arise partially from difficulties in the determination of who is in the labor force at any given time. There is a high turnover rate in the labor force and it is important to stress that this is not necessarily undesirable; it may simply reflect a higher degree of labor mobility. It is also important to distinguish between frictional and cyclical unemployment. Demand management policies can reduce cyclical unemployment, but frictional unemployment changes only if employment policies designed to affect the organization and demographic make-up of the labor force and the turnover rate are employed. Instructors may want to stress the evidence that is presented in Table 1 of Box 7-5. Looking at international unemployment rates and discussing differences in the way labor markets work in different countries will create a lot of student interest. The inflexibility of labor markets, strong labor unions, and differences in structural labor market policies can explain much of the variations in unemployment rates in Europe. Sweden, for example, has a history of creating public sector employment when needed. On the other side of the globe, Japan creates wage flexibility by paying workers a large part of their income in bonuses that can be cut whenever there is a need for it. This should, on average, create a lower unemployment rate. A discussion of the effects of the minimum wage rate law on the unemployment rate may create a lot of class participation, since students' opinions on this subject tend to diverge greatly. Students who favor an increase in the minimum wage rate are often astonished to learn that the minimum wage law could actually hurt some of those it intends to help. The minimum wage law was designed to help the least skilled workers by raising their wage rate. But if their wage rate is above the value of their marginal products, then these workers will not be hired and the unemployment rate may actually increase. An increase in the minimum wage rate raises labor costs in general since it also raises the wage demands of workers earning higher rates. Inefficiency in the form of a higher inflation rate combined with a higher unemployment rate may result. Empirical evidence, however, indicates that such effects tend to be fairly insignificant. Some recent studies even suggests that an increase in the minimum wage rate may actually create more employment. The real reason politicians often favor an increased minimum wage rate over alternative measures (such as education or training programs) is that it can be achieved at a very low cost to the government. The alternative measures may have higher net rates of return, but their costs are often considered prohibitive by administrations concerned with budgetary problems. It should also be noted that increases in the rate of inflation effectively lower the real minimum wage rate if it remains unchanged in nominal terms. Comparing the economic costs of unemployment with those of inflation is not always easy. While the costs of unemployment are easily measured by the loss in output (using Okun's law), the costs of inflation are less obvious. If inflation is perfectly anticipated, its costs are insignificant and consist primarily of the cost of making price changes (menu costs) and costs related to lower desired currency holdings (shoe-leather costs). The costs of imperfectly anticipated inflation at low levels are mostly distributional in nature, since unanticipated inflation tends to hurt creditors and benefit debtors. Very high inflation rates may create uncertainty about the future and disincentives to invest. This may result in a loss in output. Economic agents may be preoccupied with financial speculation to protect their assets against a loss of purchasing power, and productive activity may thus be lowered. This is particularly true in times of hyperinflation. The distinction between nominal and real interest rates (or wage rates) needs to be stressed, since these may actually move in opposite directions if inflation is not perfectly anticipated. Inflation's effect on the housing market is often of particular interest to students and they are eager to discuss the relative merits of fixed versus variable mortgage rates. U.S. banks (and particularly thrift institutions) suffered a 89

5 great deal when inflation rates and therefore nominal interest rates soared in the late 1970s. In times of rapidly rising interest rates, the cost of attracting new funds increases, while the real rate of return on existing long-term assets decreases. Since a significant part of the assets of thrifts were in mortgages, profitability declined. Therefore financial institutions tried to shift the interest rate risk onto the homeowners by offering adjustable rate mortgages. This, however, created other problems for financial institutions. In order to make adjustable rate mortgages attractive to home buyers, they had to offer them at a lower rate. As a result, some borrowers, who otherwise would not have qualified, now did. But when interest rates increased, so did monthly mortgage payments, and many of these borrowers had to default on their loans. In the discussion of wage indexation it is important to point out that indexation works well when inflation is caused by excessive monetary growth. However, in a supply shock situation indexation does not work very well, since real wages must fall to get the economy back to a full-employment equilibrium at low inflation. Governments tend to be reluctant to adopt indexation on a broad scale since it is not only complicated in practice but may also make it harder to fight inflation. Students often believe that any desired rate of inflation can be achieved in the long run at little cost since the economy always will adjust at the natural rate of unemployment anyway. Many are not aware of the significant personal and social costs that the resulting higher unemployment may impose. Thus a discussion of the desirability of a zero inflation rate may be useful. Students are especially intrigued by the idea that a positive rate of inflation may actually be better than a zero inflation rate, since the former may provide the wage flexibility needed for the economy to adjust to full employment more easily. The concept of political cycles also often creates interesting discussion. Political cycles occur when prudent economic policy decisions fall victim to political considerations. Since there are short-run tradeoffs between inflation and unemployment and voters usually tend to vote in accordance with their perceived economic well-being, the timing of policies to influence election results is crucial. For example, the so-called Fair equation that predicts election outcomes based on past inflation and per-capita income growth in an election year can be used to test the theory of political cycles. The equation has performed well in 16 out of the last 20 elections; however, it failed to predict a Clinton victory in Presidents Carter and Bush are two recent examples of presidents who failed to stimulate the economy sufficiently in an election year to guarantee re-election. The Reagan administration, on the other hand, clearly realized that restrictive policies to lower inflation (and increase unemployment) are best applied early in a presidential term, so the blame can be placed on the previous administration. The expansion, which generally follows a recession, can be cited as proof of the success of an economic policy package at the time re-election comes around. While the theoretical arguments in support of political cycles are intuitive, the empirical evidence is mixed at best, and there are several factors that work against the concept. For one, the president may not be able to convince the Fed to accommodate any proposed policy measure. In addition, mid-term congressional elections may influence the types of policies that a president is able to enact. Additional Readings: Akerlof, G., Dickens, W. and Perry, G., "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, vol. 1, Akerlof, G., Rose, A. and Yellen, J., "Job Switching, Job Satisfaction and the U.S. Labor Market," Brookings Papers on Economic Activity, Vol. 2, Altig, D. and Gomme, P., In Search of the NAIRU, Economic Commentary, FRB of Cleveland, May 1,

6 Asher, M., Defina, R. and Thanawala, K., "The Misery Index: Only Part of the Story," Challenge, March/April, Baker, Michael, "Unemployment Duration: Composition Effects and Cyclical Variability," American Economic Review, March, Barro, Robert, "Inflation and Growth," Review, FRB of St. Louis, May-June, Blanchard, O. and Summers, L., "Hysteresis in the Unemployment Rate," NBER Macroeconomic Annual, Brash, Donald, "The Role of Monetary Policy: Where Does Unemployment Fit In?" Economic Review, FRB of Kansas City, First Quarter, Brown, Charles, "Minimum Wage Laws: Are They Overrated?" Journal of Economic Perspectives, Summer, Bruno, M. and Easterly, W., "Inflation and Growth: In Search of a Stable Relationship," Review, FRB of St. Louis, May-June, Bruno, Michael, Does Inflation Really Lower Growth? Finance and Development, September, Chang, Roberto, Is Low Unemployment Inflationary? Economic Review, FRB of Atlanta, First Quarter, Chrystal, A. and Peel, D., "What Can Economists Learn from Political Science, and Vice Versa?" American Economic Review, May, Golob, John, "Does Inflation Uncertainty Increase with Inflation," Economic Review, FRB of Kansas City, Third Quarter, Darity, W. and Goldsmith, A., "Social Psychology, Unemployment and Macroeconomics," Journal of Economic Perspectives, Winter, Douglas, S. and Wall, H., The Revealed Cost of Unemployment, Review, FRB of St. Louis, March/April, The Economist, Why Wages Do not Fall in Recessions, February 26, Fair, Ray, "Econometrics and Presidential Elections," Journal of Economic Perspectives, Summer, Feldstein, M. and Poterba, J., "Unemployment Insurance and Reservation Wages," Journal of Public Economics, February/March, Fischer, Stanley, "Macroeconomic Factors in Growth," Journal of Monetary Economics, December, Galbraith, James, "Time to Ditch the NAIRU," Journal of Economic Perspectives, Winter, Galbraith, James, "The Surrender of Economic Policy," The American Prospect, March/April, Gordon, Robert, "The Time-Varying NAIRU and Its Implications for Economic Policy," Journal of Economic Perspectives, Winter, Hoskins, Lee, "Defending Zero Inflation: All for Naught," Quarterly Review, FRB of Minneapolis, Spring, Juhn, C., Murphy, K. and Topel, M., "Why Has the Natural Rate of Unemployment Increased Over Time?" Brookings Papers on Economic Activity, Vol. 2, Katz, Lawrence, "What We Know and Do Not Know about the Natural Rate of Unemployment," Journal of Economic Perspectives, Winter, Katz, L. and Meyer, B., "Unemployment Insurance, Recall Expectations, and Unemployment Outcomes," Quarterly Journal of Economics, November, Krugman, Paul, "Past and Prospective Causes of High Unemployment," in Reducing Unemployment: Current Issues and Policy Options, FRB of Kansas City, August, Nordhaus, William, "Alternative Approaches to the Political Business Cycle," Brookings Papers on Economic Activity, vol. 2, Phelps, Edmund, "Economic Policy and Unemployment in the Sixties," Public Interest, Winter, Saint-Paul, Gilles, "Exploring the Political Economy of Labour Market Institutions," Economic Policy, October

7 Stiglitz, Joseph, Reflections on the Natural Rate Hypothesis, Journal of Economic Perspectives, Winter, Walsh, Carl, "Nobel Views on Inflation and Unemployment," Weekly Letter, FRB of San Francisco, January 10, 1997 Wright, Randall, "The Labor Market Implications of Unemployment Insurance and Short-Term Compensation," Quarterly Review, FRB of Minneapolis, Summer, Zawodny, Madeline, Why Minimum Wage Hikes May Not Reduce Employment, Economic Review, FRB of Atlanta, Second Quarter, Learning Objectives: Students should be aware that there are large variations in the unemployment rate across different groups in the labor force. Students should be aware that there is high turnover in the labor market (often cyclical in nature) consisting of flows in and out of the labor pool. Students should understand the importance of duration and frequency of unemployment and their relevance to the actual rate of unemployment. Students should know the factors that determine the natural unemployment rate. Students should be aware that while the natural rate of unemployment can vary over time, it can be estimated quite accurately. Students should be able to distinguish between frictional and cyclical unemployment. Students should be able to distinguish between the effects of perfectly anticipated and imperfectly anticipated inflation. Students should be able to evaluate the relative costs of unemployment and inflation. Students should be familiar with the effects of wage indexation. Students should be able to discuss the relative merits of fixed versus variable mortgage rates. Students should be aware that a positive rate of inflation may reduce wage rigidity. Students should be familiar with the concept of the political business cycle. Conceptual Problems: Solutions to the Problems in the Textbook: 1. The rate of unemployment is affected by the frequency, that is, the number of times that workers become unemployed in a period, and by the duration, that is, the length of the period for which workers are unemployed. 1.a. In depressed industries, the duration of unemployment is likely to be long but the frequency is likely to be low. Policies to help unemployed workers from these industries find new jobs may include retraining and education programs to enable them to find work in other industries. 1.b. Unskilled workers tend to be more frequently unemployed, but the duration of their unemployment is usually fairly short. On-the-job training or education programs that provide skills to obtain or maintain jobs are often the best strategy for helping these workers. However, such programs are often costly and difficult to implement. 92

8 1.c. Unemployment in depressed geographical areas tends to be of long duration and low frequency and is often concentrated in specific industries (very similar to the situation in 1.a.). Policies to relocate workers to different geographical areas may not be successful since workers are often reluctant to move. Thus policy makers generally prefer programs designed to attract new industries to an area over programs to relocate workers. 1.d. Teenage unemployment is often of high frequency and short duration. Since teenagers tend to have few skills and little or no work experience, programs to facilitate the transition into the adult work force are needed. Programs that offer on-the-job training will provide the highest long-term benefits. These programs tend to be fairly costly, however, which is why some politicians advocate lowering the minimum wage for teenagers instead. 2. The natural unemployment rate is determined by two factors: the duration and frequency of unemployment. While the duration of unemployment depends primarily on the organization and demographic make-up of the labor force, the availability of unemployment benefits, and the desire of the unemployed to look for better jobs, the frequency of unemployment depends largely on the rate at which new workers enter the work force and on the variability of the demand for labor across different employers. 2.a. It is unclear whether the elimination of unions would serve to reduce the natural rate of unemployment. The insider-outsider theory of the labor market suggests that firms bargain with unions (the insiders) and are not much concerned with the unemployed (the outsiders). If unions were eliminated, firms would tend to hire unemployed workers at a lower wage rate, thus reducing the natural unemployment rate. On the other hand, unions tend to preserve stable jobs for their members. Eliminating them may lead not only to a reduction in bargaining power for labor in wage negotiations but also to an increase in the natural rate of unemployment. The elimination of labor unions could also serve to eliminate the wage differentials between unionized and non-unionized workers and, in the process, redistribute some income. 2.b. Increased labor force participation of teenagers would at least initially increase the natural rate of unemployment, since teenagers have a higher frequency of unemployment than older, more experienced workers. However, as more and more teenagers entered the labor force and more good and stable jobs became available to them, the natural rate of unemployment would start to decline again. But with more people in the labor force, the supply of labor would be higher and wage rates would be driven down, contributing to wage stagnation. 2.c. If aggregate demand fluctuated more, then firms would offer fewer stable jobs and the frequency of unemployment would increase, increasing the natural rate. This would not only lead to a loss in output and an increase in personal hardship, but it would also put more financial strain on the unemployment insurance program. 2.d. An increase in unemployment benefits would make it less urgent for the unemployed to find new jobs. They would have the option of looking longer for jobs after being laid off and would be less likely to accept undesirable job offers. As the length of their unemployment increased, workers might begin to look less desirable to potential employers who might believe that they lacked either the motivation or qualifications to work hard for them. Therefore the natural rate of unemployment would increase. 93

9 2.e. Employers who perceive the minimum wage rate to be above the value of the marginal product of low skilled workers will not hire such workers. The elimination of the minimum wage rate might induce some firms to hire more low-skilled workers, thus decreasing the natural rate of unemployment. However, the wage rate that these low skilled workers were offered might be well below the amount that would ensure an adequate standard of living. 2.f. If fluctuation in the composition of aggregate demand increased, workers would have to be shifted from industry to industry more often and this would increase the natural rate of unemployment. However, since skills are not always transferable, resources would have to be devoted to retraining programs. 3. Many unemployed teenagers are new entrants into the labor force and their frequency of unemployment is higher than that of adult workers. Teenagers' frequency of entry into and exit from the labor force indicates that few of them work at jobs with the promise of high job security. They have little or no training and few job skills and thus tend to hold unattractive jobs. This perpetuates the problem since the jobs they can get do not provide the skills needed to gain better jobs in the future. While the frequency of unemployment is lower for adults than teenagers, the duration is often higher. There are fewer entrants and re-entrants into the work force among adults, who are most often unemployed due to layoffs. Overall, the unemployment rate for adults is much lower than the unemployment rate for teenagers. 4.a. Employers would benefit from a lower minimum wage rate, since they would be able to expand production by hiring labor at a lower cost. Since the nominal minimum wage rate might no longer be above the value of the marginal product of low skilled or inexperienced workers, the labor of these workers would be more desirable to employers. Therefore teenagers and low skilled job seekers would also benefit. They would get jobs more easily and gain valuable work experience that they otherwise might not have gotten. Since more people would be hired and more output would be produced at a lower price, the whole economy would benefit from a lower inflation rate and a lower unemployment rate. 4.b. Those workers who would have been working at jobs paying the existing minimum wage rate might lose from a decrease in the minimum wage. With a lower minimum wage rate implemented only during the summer months, employers might lay off current workers and replace them with new entrants at a lower cost. Thus the number of displaced workers might increase. 4.c. Obviously, those who would gain from such a policy measure would support it--teenagers, low skilled workers, and some firms. 5. It is possible to design a restrictive fiscal and monetary policy mix to bring the economy to a long-run equilibrium situation at the natural rate of unemployment and at a zero rate of inflation. However, this cannot be achieved without an increase in the rate of unemployment in the short run. Therefore a choice has to be made among adjustment paths that differ in their inflation-unemployment mix. 94

10 In considering adjustment paths, the benefits of permanently lower inflation have to be compared with the costs of increased short-term unemployment. The costs of unemployment are loss of output and personal hardship. If inflation can be anticipated only imperfectly, then a redistribution of income and wealth will take place. Some output may be lost as resources are devoted to minimizing a potential loss in purchasing power rather than to actual production. However, the cost of perfectly anticipated inflation is minimal. Thus it probably makes little difference whether we have a zero inflation rate or an inflation rate of 3%, as long as a specific long-run goal is established. A positive rate of inflation may actually help in wage and price adjustments, since it allows real wages to adjust more easily to supply shocks. Most policy makers tend to perceive the cost of inflation as lower than the cost of an increase in unemployment resulting from tough anti-inflation policies. However, the U.S. experience of the early 1980s indicates that tough measures to bring the economy quickly to recovery may be acceptable if inflation reaches the double-digit range. One way to establish a clear inflation goal is for the Fed to follow a monetary growth rule. However, such a rule may not perform well in all situations (for example, in a supply shock). Another option is to maintain discretionary monetary policy along with an independent central bank that has a clear mandate to function as an inflation fighter. 6. The sacrifice ratio is the percentage of output lost for each one- percent reduction in the inflation rate. It is non-zero in the short and medium runs, when output is different from the full-employment level. However, in the long run, unemployment always returns to its natural level and therefore the sacrifice ratio is zero. 7. Okun's law states that a reduction in the unemployment rate of 1 percent will increase the level of output by 2 percent. This relationship allows us to measure the cost to society (in terms of lost production) of a given rate of unemployment. 8. When inflation is perfectly anticipated, then its costs consist primarily of the costs of making price changes (menu costs) and costs related to the holding of currency, which loses purchasing power. If there is only low to moderate inflation, these costs are very low. However, when inflation rates soar, the costs can be substantial. 9. The cost of imperfectly anticipated inflation can be serious. There is a redistribution of wealth among individuals. If actual inflation is higher than expected, debtors profit while creditors lose as real interest rates are lower than expected. Equity holders are also hurt, since the real value of dividends and capital gains is reduced. If there is no tax indexation, people may move into higher tax brackets and suffer financially due to bracket creep. 10. Indexation is designed to make it easier to live with inflation since it eliminates the cost of unanticipated inflation. In practice, however, indexing on a broad basis makes it more complicated to calculate contracts. It also makes it harder for the economy to adjust to shocks if changes in relative prices are needed. This is particularly true for supply shocks. Finally, there is some concern that indexation may weaken political motivation to fight inflation. However, as long as inflation is low to moderate, the benefits of indexation probably outweigh the costs. 95

11 Technical Problems: 1.a. The aggregate unemployment rate can be calculated by adding the unemployment rates of different groups weighted by their share of the labor force. The data in the problem indicate that 10% of the labor force are teenagers. The adult work force (the other 90%) is divided into 35% females and 65% males. Thus we get u = (0.1)(0.19) + (0.9)[(0.35)(0.06) + (0.65)(0.07)] = (0.9)( ) = = = 7.9%. 1.b. If the labor force participation rate of teenagers increases to 15%, then the aggregate rate of unemployment changes to: u 1 = (0.15)(0.19) + (0.85)[(0.35)(0.06) + (0.65)(0.07)] = (0.85)( ) = = = 8.5%. 2. The unemployment figures for each group were taken from the Economic Report of the President, February, Figures relating to the unemployment rate were taken from Table B-40 and each group's share in the civilian labor force was calculated from Table B Males Un.Rt./Share (19.0%)/(.030) (19.8%)/(.026) (18.1%)/(.026) Females Un.Rt./Share (17.6%)/(.029) (17.5%)/(.024) (15.2%)/(.025) Males 20+ Un.Rt./Share (6.1%)/(.525) (6.4%)/(.520) (4.6%)/(.512) Females 20+ Un.Rt./Share (6.2%)/(.416) (5.7%)/(.430) (4.8%)/(.437) If the unemployment rate for each group in the two other years was the same as in 1991, then the overall unemployment rate in 1986 or 1996 would have been: u 86 = (19.8%)(.030) + (6.4%)(.525) + (17.5%)(.029) + (5.7%)(.416) = 0.594% % % % = 6.83% u 96 = (19.8%)(.026) + (6.4%)(.512) + (17.5%)(.025) + (5.7%)(.437) = 0.515% % % % = 6.72% The actual unemployment rates for these years were: 96

12 u 86 = 7.0% u 91 = 6.8% u 96 = 5.4% The difference between the unemployment rates calculated above and the unemployment rate in 1986 shows the effects of changes in the composition of the labor force on the rate of unemployment. 3. The data mentioned here were taken from the Economic Report of the President, February, Table B-42 of the report shows unemployment by duration. In 1991 the average duration was 13.7 weeks, in 1995 it was 16.6 weeks, and in 1996 it was 16.7 weeks. (These numbers reflect the average amount of time that an unemployed worker was out of work in a given year and not the duration of a completed spell of unemployment.) For the years in question, the overall unemployment rates were 6.8% in 1991, 5.6% in 1995, and 5.4% in Thus the duration of unemployment moved in the opposite direction from the overall unemployment rate. Additional Problems: 1. Why is it possible for the number of unemployed workers to increase at the same time that the overall unemployment rate falls? The unemployment rate is defined as the number of people unemployed divided by the number of people in the labor force. If the labor force grows more than the number of unemployed, the unemployment rate falls. 2. In the manufacturing sector many workers who have been laid off later return to their original jobs. Does this mean that these workers failed to look for other jobs while they were unemployed? No. The fact that these workers return to their original jobs simply means that they did not accept other permanent job offers. Very often, laid-off workers actively look for other jobs, but may not find comparable jobs in their geographic area. As the demand for the goods produced by their former firm increases again, they are called back and return to their old jobs. 3. Proposals to raise the minimum wage rate are often opposed with the argument that such a move would not only cause an increase in unemployment but would also hurt the very people it is intended to help. Is there any validity to that argument? The minimum wage rate provides a price floor on nominal wages. If this wage floor is above the marketclearing equilibrium wage rate, then a surplus of labor will be created. The purpose of the minimum wage law is to provide an adequate standard of living for less skilled workers. However, if firms believe that the minimum wage rate is higher than the value of the marginal product of some workers, then those workers will not be hired. As a result, the unemployment rate among less skilled workers may actually increase. Increasing the minimum wage rate raises the cost of production (especially since higher skilled workers may also demand higher wages) and may result in a higher inflation combined with higher unemployment. However, empirical evidence suggests that such effects are fairly small. Whether politicians favor an increase in the minimum wage rate depends on more than just the efficiency and equity arguments. An 97

13 increase in the minimum wage can be enacted with little cost to the government. Alternative programs (increasing the level of education or training of low skilled workers) may have a higher rate of return but require a greater investment of resources and may therefore be considered unfeasible if budget deficits are a problem. 4. True or false? Why? "When the economy enters a recession, wages tend to adjust only slowly to a market-clearing level, and the resulting unemployment is called frictional." False. Frictional unemployment is the unemployment that exists when the economy is at its fullemployment level of output. Unemployment in excess of this "natural rate" of unemployment occurs when the economy enters a recession and is called cyclical unemployment. 5. Starting in the early 1990s many U.S. firms downsized their operations. In your opinion, how did this affect the duration of unemployment? Normally after a recession workers either return to their old jobs or find similar jobs. However, since many jobs were completely eliminated in this particular downsizing, workers who lost their jobs in the recession of 1990/91 had a much tougher time finding new and comparable jobs. Therefore, the duration of unemployment increased. 6. Comment on the following statement: "More generous unemployment benefits create a higher unemployment rate." The unemployment rate tends to be higher in countries with more generous unemployment insurance programs. Unemployment benefits significantly reduce the hardships associated with loss of a job. Firms may also be less concerned about laying off their workers if they know that the workers will receive unemployment insurance. At the same time, the benefits decrease the cost of searching for a job and enable those who have lost jobs to at least initially reject unsatisfactory job offers. Finally, since workers have to officially be in the labor force to receive unemployment benefits (even if they do not want a job) they get counted as unemployed, thus increasing the measured unemployment rate. 7. "If wages are rigid, then the government can easily reduce inflation without creating higher unemployment." Comment on this statement. If wages are rigid, then there is a trade-off between unemployment and inflation. In other words, if policy makers try to reduce inflation by demand management policies (restrictive monetary policy), then unemployment will increase at least in the short run. Only in the long run, when wages become completely flexible, will the unemployment rate return to its natural level. Another way to lower inflation without increasing unemployment would be through supply-side economics, that is, policies designed to shift the AS-curve to the right. According to supply-siders, a decrease in income tax rates will increase the incentive to save, 98

14 work and invest and this will shift the upward-sloping AS-curve to the right. However, this is easier said than done, since tax cuts generally also affect aggregate demand. 8. Distinguish between frictional, search, seasonal, and cyclical unemployment. Frictional unemployment exists, because labor markets do not work perfectly. At any given time, some workers are always between jobs and therefore temporarily unemployed. Search unemployment exists because some workers who are offered a job wait for a better opportunity; they can do this for some time because they receive unemployment insurance benefits. Seasonal unemployment occurs, since workers are needed at different times in different areas. (Ski instructors are only needed in winter; and college students tend to enter the labor force temporarily during the summer time.) Cyclical unemployment refers to the unemployment that occurs as the economy enters a downturn. 9. What kinds of policies would you suggest to reduce the natural rate of unemployment? The answer to this question is student specific. Policies to reduce the natural rate of unemployment must reduce the frequency or duration of unemployment and affect the composition or demographic make-up of the labor force. Policies that make workers more mobile, make information regarding job vacancies more accessible to the public, or reduce the variability of the demand for labor across industries can also be considered. Some people may favor a reduction in the minimum wage rate or a reduction in unemployment benefits, but such proposals are more controversial. 10. "Restrictive monetary policy will help to decrease inflation; the resulting increase in the natural unemployment rate is a small price to pay." Comment on this statement. In your answer, explain what policies the government should design to lower the natural rate of unemployment. Restrictive monetary policy lowers the rate of inflation but at the cost of increasing the actual rate of unemployment. However, in the long run the economy will adjust back to the natural rate of unemployment. This natural unemployment rate is not affected by monetary policy, but only by employment policies or changes in the composition of the labor force. Employment policies involve educating workers or increasing their skills to make them more mobile, making information about job opportunities more readily available to them, or reducing discrimination to allow certain groups to find jobs faster. 11. "Unemployment hysteresis generally exists when the economy is entering a deep recession and workers fear lay-offs." Comment on this statement. The term unemployment hysteresis is used to describe a situation in which long periods of high unemployment lead to an increase in the natural rate of unemployment. This phenomenon arises since workers who are out of a job may either take advantage of unemployment benefits while doing odd jobs or get discouraged and put less effort into finding a new job. Thus they stay unemployed longer. Since firms may perceive long periods of unemployment as a signal that these workers are less qualified or motivated, they may not want to hire them. Therefore, the longer the spell of unemployment, the harder it is to get out of the unemployment pool. 99

15 12. Assume the unemployment rate among different groups in the labor force is as follows: adult males 5%, adult females 4.5%, teenagers 12%. Teenagers account for 15% of the work force and, among adults, women workers account for 40%. What is the actual nation-wide unemployment rate? The aggregate unemployment rate can be calculated by adding the unemployment rates of the different groups weighted by their share of the labor force. Therefore we get u = (0.15)(0.12) + (0.85)[(0.6)(0.05) + (0.4)(0.045)] = (0.85)( ) = = = 5.8%. 13. Demographic studies show that the proportion of teenagers and minorities in the U.S. population is likely to increase in the near future. In your opinion, what implications, if any, would this trend have on the natural rate of unemployment? Teenagers and minorities tend to have a greater frequency of unemployment than the general population. If the proportion of teenagers and minorities in the labor force increases, then we should expect an increase in the natural rate of unemployment. 14. In Japan, a large part of a worker's annual salary comes in the form of bonuses. In your opinion, what are the implications of this for the unemployment rate in Japan? The fact that these bonuses can be easily reduced when a firm experiences a tough time makes wages much more flexible. The Japanese economy can therefore adjust more easily to full employment. In bad economic times Japanese workers are not laid off as easily as workers in the U.S., where wages are more rigid. The implication is that the Japanese unemployment rate should, on average, be lower. 15. Given that inflation cannot be perfectly anticipated, how can lending institutions protect themselves against the loss of purchasing power? If inflation cannot be perfectly anticipated, then lending institutions have great uncertainty about the real value of the nominal payments they receive on loans. For example, if a long-term mortgage has a fixed interest rate, then the lending institution that issued the loan will lose purchasing power if the rate of inflation is higher than expected. The homeowner, on the other hand, is better off since the real interest rate of the mortgage loan has been effectively reduced. Variable mortgage rates (which are generally dependent on short-term interest rates) protect the lending institution against rising inflation, since they are adjusted periodically as inflation, and thus shortterm interest rates, increase. The unanticipated capital gains accrued by borrowers due to higher inflation are therefore much smaller since the mortgage rate is adjusted soon after short-term interest rates increase. Thus the lending institution's purchasing power is essentially protected. 16. "Perfectly anticipated inflation should not affect currency holders." Comment. 100

16 Whenever there is inflation, currency becomes more costly to hold because of the loss in purchasing power. The higher the rate of inflation, the larger the incentive for individuals to put their funds into interest earning accounts with yields higher than the expected rate of inflation 17. "Unanticipated inflation benefits debtors." Comment on this statement. Assume you get a 30-year fixed-rate mortgage from your local savings and loan institution. The terms of the contract will specify the nominal interest rate for your loan, which contains a premium for expected inflation over the term of the contract. If the actual inflation rate is greater than was anticipated at the time the contract was signed, then you (as the debtor) are better off. In this case, you will be able to pay back the loan with "cheaper" dollars since money has lost some of its purchasing power. The lending institution, on the other hand, will be hurt by the higher than anticipated interest rates. Naturally, if the actual inflation rate is less than was anticipated, the lending institution will benefit. 18. "Wage indexation can lead to an inflation spiral." Comment on this statement. If material prices rise and the price increases are passed on to consumers in the form of higher product prices, then the rate of inflation will increase. If wages are indexed for inflation, then workers' nominal wages will increase as soon as new labor contracts go into effect. But firms will again pass the higher wage costs on to consumers in the form of higher product prices and inflation will increase even more. This process (the so-called wage-price spiral) may continue until decisive action is taken to stop it. 19. Broad-based indexation is a good idea, since it eliminates the hardships associated with inflation." Comment on this statement. Broad-based indexation eliminates the cost of unanticipated inflation, which is primarily the redistribution of wealth. Long-term loan contracts, such as mortgages, government bonds, or wage contracts are especially affected by imperfectly anticipated inflation since lenders and workers cannot be certain about the real value of the nominal payments they receive. Since inflation is less predictable when it is high than when it is low, indexation is more prevalent in countries with high inflation than in those with low inflation. The advantage of indexation is that it keeps nominal and real rates of return (or wages) in line, while avoiding frequent costly contract renegotiations. However, indexation is often complicated and may weaken policy makers' will to fight inflation. Furthermore, indexation prevents real wages from falling after a supply shock, preventing an adjustment back to full employment. 20. Briefly explain how and why each of the following changes would affect the natural rate of unemployment: (i) a decrease in unemployment benefits; (ii) an increase in the minimum wage; (iii) a higher number of teenagers in the work force. A decrease in unemployment benefits would make it more urgent for the unemployed to find new jobs. They would be more likely to accept early job offers and the length of unemployment would be reduced. Therefore the natural rate of unemployment would decrease. Employers who believe the minimum wage rate to be above the value of the marginal product of lowskilled workers will not hire such workers. A higher minimum wage rate might make some firms less 101

17 likely to hire low-skilled workers, increasing the natural rate of unemployment. However, low-skilled workers who continue to be employed would receive a higher wage rate, ensuring them more spending power and this could create jobs elsewhere. Increased labor force participation of teenagers would at least initially increase the natural rate of unemployment, sine teenagers have a higher frequency of unemployment than older, more experienced workers do. But as more teenagers entered the labor force and more stable jobs became available to them, then the natural rate of unemployment would decrease again. 21. Comment on the following statement: "An incumbent president can always ensure his re-election simply by using all policy measures at his disposal to ensure low inflation and high growth in an election year." This statement relates to the political business cycle theory, which asserts that politicians will use those economic policies that have high voter approval to guarantee reelection. The Fair equation, which is based on the inflation rate and per-capita growth in an election year, has been fairly successful in predicting the outcome of presidential elections. However, there are some other factors that work against this hypothesis. External shocks cannot be predicted but they can influence voter behavior. The president also has no control over the actions of the Fed nor can he use fiscal policy measures that would serve his own purposes too openly. Finally, if expectations are indeed rational, then policy measures designed to stimulate the economy before an election should have negligible effects. Empirical evidence in support of the political business cycle theory is mixed. 22. "The natural rate of unemployment is a very helpful guide for policy makers, since most inflation is driven by wage increases." Comment on this statement. The true value of the natural rate of unemployment is not known for sure. So is policy makers assume this rate is lower than it actually is, they will try to stimulate the economy through expansionary policies as soon as unemployment rises above this assumed rate. But this will reduce the actual unemployment rate only temporarily, since the economy has a tendency to go back to the true natural rate. Policy makers will have to stimulate the economy again and again and this creates inflationary pressure. Since inflation reduces real wages, workers will ask for wage increases and we will enter a wage-price spiral. The assertion that most inflation is driven by wage increases also does not hold. Instead, global competition has broken down the relationship between wage increases and increases in inflation. In the long urn, inflation can only persist if monetary growth is excessive. 23. "Structural unemployment is in excess of the natural rate of unemployment and can therefore be easily lowered by expansionary fiscal policy." Comment on t his statement. In your answer, list the different types of unemployment. Expansionary fiscal policy will result in a temporary decrease in the actual unemployment rate, but in the long run the economy will adjust back to the natural unemployment rate. This natural rate can only be reduced through policies geared towards improving education, skills, information about jobs, and job mobility. Structural unemployment (the mismatch of job openings and available skills) is part of the natural unemployment rate. Frictional unemployment always exists since labor markets don't work perfectly and some people are always between jobs. Search unemployment exists when people who are 102

18 offered jobs decide not to take them in hopes of getting better jobs. Only cyclical unemployment is in excess of this natural rate and can be reduced through expansionary fiscal policy. 103

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