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Macroeconomics , 5th Edition Solution Manual

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    Chapter 1 Introduction ◼ Teaching Goals Macroeconomics primarily studies economic growth and business cycles. Over time, there is a prevailing upward trend in the standard of living. However, such growth can be rather erratic. There are some periods of very rapid growth, some periods of rather anemic growth, and also some periods of temporary economic decline. Explanations for the overall upward trend in standards of living are the subject of economic growth analysis. Explanations of variations in growth over shorter time horizons are the subject of business cycle analysis. Students should be able to distinguish between microeconomic topics and macroeconomic topics. Students should understand the distinction between growth analysis and business cycle analysis. Although microeconomics and macroeconomics are separate branches of study, both branches are guided by the same set of economic principles. Standard economic theory is guided by the assumption of maximizing behavior. As a first approximation, we therefore view the macroeconomy as a collection of markets with maximizing participants. These participants are price - taking agents and the economy is closely approximated by a competitive equilibrium. Because the economy as a whole is extremely complex, macroeconomists must rely on somewhat abstract models. Although the structure of such models does not correspond to all of the details of life in a complex society, these models offer the best hope of providing simple, yet accurate descriptions of how the macroeconomy works, and how government policies may affect macroeconomic outcomes. Economists are in broad consensus about the mechanisms of economic growth. There is less agreement about the causes and consequences of business cycles. While there are strong regularities in macroeconomic data, competing theories have been developed that each have a claim to explaining those regularities. There are Keynesian and non - Keynesian models of the business cycle. Examples of the former are Keynesian coordination failure models and New Keynesian sticky price models. Examples of the latter are the Lucas - Friedman money surprise model, the real business cycle model, and new monetarist models. ◼ Classroom Discussion Topics One good way to get the ball rolling is to list some macroeconomic concerns like stagnant economic growth, unemployment, inflation, the recent recession, government budget deficits, tax burdens, balance of trade deficits, financing of Social Security, and the like. Draw on current news or look at various policy proposals discussed in Washington. Ask or poll students as to whether they are personally concerned about such problems and what original prejudices they might have about causes and effects. Sometimes students express concerns about topics that are perhaps more microeconomic in nature, like inequality in the distribution of income and environmental concerns. Emphasize that economic growth may provide enough extra resources to help deal with these issues.

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    Chapter 1 Introduction 2 Students often have conflicting ideas about the current state of the economy. Sometimes their perspectives may be governed by their individual circumstances, what they read in the paper, what they see on TV and the like. Ask them whether they believe that times are currently good or bad. Ask them why they think the way that they do. Ask them how they can more objectively back up or check out their casual impressions about the current state of the economy. ◼ Outline I. What Is Macroeconomics? II. Gross National Product, Economic Growth, and Business Cycles III. Macroeconomic Models IV. Microeconomic Principles V. Disagreement in Macroeconomics VI. What Do We Learn from Macroeconomic Analysis? A. Fundamentals: Preferences and Productive Capacity B. The Efficiency of Market Outcomes C. The Implications of Unemployment D. The Source of Long - run Improvements in the Standard of Living E. A Tax Cut is not a Free Lunch F. Credit Markets G. Expectations about the Future H. The Role of Money I. Business Cycles J. International Trade in Goods and Assets K. Money Growth and Inflation L. The Phillips Curve VII. Understanding Current and Recent Macroeconomic Events A. Aggregate Productivity B. Unemployment and Vacancies C. Taxes, Government Spending, and the Government Deficit D. Inflation E. Interest Rates F. Business Cycles in the United States G. Credit Markets and the Financial Crisis H. The Current Account Surplus ◼ Solutions to End - of - Chapter Problems 1. Calculating percentage growth rates, and log approximations to percentage growth rates, we obtain: Year Percentage Growth Rate Log Approximation 2003 1.597484 1.584858

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    Chapter 1 Introduction 3 2004 2.466649 2.436718 2005 2.073992 2.052778 2006 1.667763 1.654008 2007 1.162146 1.155445 2008 - 1.13738 - 1.14389 2009 - 4.41241 - 4.51272 2010 2.257293 2.232193 2011 0.997377 0.992436 In this case, calculating the change in the natural logarithm from one year to the next gives a good approximation to the percentage growth rate, as the growth rates are small. But if we do the same thing for growth rates over ten - year periods, as below, the approximation is poor, as the growth rates are relatively large. Ten - year percentage growth rate Log Approximation 1960 19.09544 17.4755 1970 33.10087 28.59371 1980 22.66362 20.42756 1990 25.33007 22.57806 2000 23.14175 20.81659 2. Some obvious possibilities include Federal Reserve open market purchases to keep the money supply from shrinking, instituting bank reforms before the Depression started, avoiding high tariff rates, etc. 3. Newton’s model of falling bodies. Ignores air resistance. Works well for most dense objects, doesn’t work well for feathers. Diagrams of plays in football and basketball. Ignores the characteristics of individual players, and opponent reactions.

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    Chapter 1 Introduction 4 Works well for evenly matched teams. Scale models of new aircraft designs. Ignores working engines and interior contents. Wind tunnel testing approximates aerodynamics of actual aircraft. 4. The time series for unemployment exhibits an asymmetry . The unemployment rate typically increases at a much higher rate than the rate at which it decreases. Thus, when the unemployment rate is unusually high, it takes a long time to fall to “normal” levels. After the 2001 recession, the unemployment rate took about 7 years to fall by about 1.8 points. In 2000, the unemployment rate was 4%, and the peak unemployment rate in 2010 was about 10%. Based on previous experience, it may take until 2033 for the unemployment rate to fall to 4%. 5. The deficit is large in 2011 because taxes have fallen and spending has risen. However, the contribution of increased spending to the deficit is larger than the contribution of decreased taxation. 6. In Figure 1.10, the money growth rate is more variable after 1980 than before 1980, but the inflation rate is more variable before 1980 than after 1980. These observations seem to contradict the view that there is a tight link between money growth and inflation. Possibly an active monetary policy that makes money growth more variable in the short run is necessary to make the inflation rate stable. 7. In Figure 1.12, there have been some sharp movements in the real interest rate. Before late 2008, those movements in the real interest rate were due both to variability in inflation, and to variability in the nominal interest rate. The latter movements in the nominal interest rate were driven primarily by the Federal Reserve System. However, in late 2008, the Fed adopted a policy of essentially zero nominal interest rates, and so after late 2008, movements in the real rate are due entirely to fluctuations in the inflation rate. 8. The recent recession, in 2008 - 09, in figure 1.13, was more severe than the previous two recessions, but slightly less severe than the 1981 - 82 recession, and about as severe as the 1974 - 75 recession. An issue here is how we determine the deviation from trend, and what the trend is. Given the way the trend is calculated here, there is a sense in which the recent recession does not look so bad, but that may be because of a long - term deterioration in the US economy, i.e. there was a downward level adjustment to the trend. 9. When there are spikes in the interest rate spread, those tend to occur during recessions, i.e. periods when real GDP is below trend. Further, large (small) spikes in the interest rate spread tend to be associated with large (small) negative deviations from trend in real GDP. However, in the 1990 - 91 recession, there is only a small spike in the interest rate spread, which looks like other random spikes in the spread that have occurred which are not associated with recessions. 10. The three previous declines in housing prices occurred beginning in 1970, 1980, and 1990. In those cases, the percentage declines in relative price of housing were about 15%, 12%, and 15%,

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    Chapter 1 Introduction 5 respectively. These declines were large, but the decline beginning in 2006 was larger in percentage terms. 14. Coordination failure models and New Keynesian economic models. 18. If the deficit is the result of a decrease in taxes, then there is a redistribution of the tax burden from present consumers to future consumers. If the deficit results from higher government spending, this usually leads to the crowding out of private spending. 19. Long - run inflation is costly because it tends to reduce employment, output, and consumption. 21. The period between the 1981 – 1982 recession and the 2008 - 09 financial crisis is called the Great Moderation because aggregate economic fluctuations became less volatile in this period, relative to the 1947 – 1982 period. 22. Asymmetric information refers to the situation where financial instit utions that extend loans in the credit market have less information about the creditworthiness of would - be borrowers than the borrowers themselves. Since lending institutions are unable to differentiate good borrowers from bad borrowers, interest rates will increase by the amount of a default premium. 23. The current account surplus is net exports of goods and services (exports minus imports) plus net factor payments (net income from abroad). The US current account surplus was positive for most of the period 1960 – 1985, and it has been negative for most of the period 1985 – 2012.

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    C hapter 2 Measurement ◼ Teaching Goals Students must understand the importance of measuring aggregate economic activity. Macroeconomists produce theories that provide useful insights and policy conclusions. To be credible, such theories must produce hypotheses that evidence could possibly refute. Macroeconomic measurement provides such evidence. Without macroeconomic measurements, macroeconomics could not be a social science , and would rather consist of philosophizing and pontificating. Market transactions provide the most simple and direct measurements. Macroeconomists’ most basic measurement is Gross Domestic Product (GDP), the value of final, domestically market output produced during a given period of time. In the United States, the Commerce Department’s National Income and Product Accounts provide official estimates of GDP. These accounts employ their own set of accounting rules to ensure internal consistency and to provide several separate estimates of GDP. These separate estimates are provided by the product accounts, the expenditure accounts, and the income accounts. The various accounting conventions may, at first glance, be rather dry and complicated. However, students can only easily digest the material in later chapters if they have a good grounding in the fundamentals. GDP changes through time because different amounts of goods and services are produced, and such goods and services are sold at different prices. Standards of living are determined by the amounts of goods and services produced, not by the prices they command in the market. While GDP is relatively easy to measure, the decomposition of changes in real GDP into quantity and price components is much more difficult. It is easy to separately measure the number of apples sold and the price of each apple. Because macroeconomics deals with aggregate output, the differentiation of price and quantity is much less easily apparent. It is important to emphasize that while there may be more or less reasonable approaches to this problem, there is no unambiguous best approach. Since many important policy discussions involve debates about output and price measurements, it is very important to understand exactly how such measurements are produced. ◼ Classroom Discussion Topics Much of this material is best learned by example. Rather than simply working through the examples from the text or making up your own, the material may resonate better if the students come up with their own examples. They can start by picking a single good, and by the choice of their numbers they provide their own implied decomposition of output into wage and profit income. Later on, encourage them to suggest intermediate input production, inventory adjustments, international transactions, a government sector, and so on. Such an exercise may help assure them that the identities presented in the text are more than simply abstract constructions.

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    Chapter 2 Measurement 6 If many of your students are familiar with accounting principles, it may also be useful to present the National Income and Product Account with the “T” accounts, and highlighting how all income is an expense elsewhere. Make one account for each of the firms, one for the household and one for the government. Add another account for the rest of the world when discussing the example with international trade. This procedure can highlight how some entities can be inferred from others because accounting identities must hold. It makes it also easier to determine consumption for some student Social Security benefits are indexed to the Consumer Price Index. Explain with an example exactly how these adjustments are made. Ask the students if they think that this procedure is “fair.” Another topic for concern is the stagnation in the growth of measured real wages. Real wages are measured by dividing (for example) average hourly wages paid in manufacturing by the consumer price index. Ask students if measured changes in real wages confirm or conflict with their general beliefs about whether the typical worker is better or worse off than 10 or 20 years ago. How does possible mis - measurement of prices reconcile any apparent differences between casual impressions and statistical evidence? The text discusses why unemployment may or may not be a good measure of labor market tightness. Another interpretation of the unemployment rate is as a measure of economic welfare – welfare goes down as unemployment goes up. Ask the students if they agree with this interpretation. Does the unemployment rate help factor in considerations like equal distribution of income? How can the unemployment rate factor in considerations like higher income per employed worker? Discuss possible pros and cons of using unemployment rather than per capita real GDP as a measure of well - being. Can unemployment be too low? Why or why not? ◼ Outline I. Measuring GDP: The National Income and Product Accounts A. What Is GDP and How Do We Measure It? B. The Product Approach C. The Expenditure Approach D. The Income Approach E. Gross National Product (GNP) F. What Does GDP Leave Out? G. Expenditure Components 1. Consumption 2. Investment 3. Net Exports 4. Government Expenditures II. Nominal and Real GDP and Price Indices A. Real GDP B. Measures of the Price Level 1. Implicit GDP Price Deflator 2. Consumer Price Index (CPI) C. Problems Measuring Real GDP and the Price Level III. Savings, Wealth, and Capital A. Stocks and Flows

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    Chapter 2 Measurement 7 B. Private Disposable Income and Private Sector Saving 1. d Y Y NFP TR INT T = + + + − 2. p d S Y C = − C. Government Surpluses, Deficits, and Government Saving 1. g S T TR INT G = − − − 2. g D S = − D. National Saving: p g S S S Y NFP C G = + = + − − E. Saving, Investment, and the Current Account 1. S I NX NFP = + + 2. CA NX NFP S I CA = +  = + F. Capital Stock 1. S Wealth   2. I K   3. Claims on Foreigners CA  IV. Labor Market Measurement A. BLS Categories 1. Employed 2. Unemployed 3. Not in the Labor Force B. The Unemployment Rate Number unemployed Unemployment Rate Labor force = C. The Participation Rate Labor force Participation Rate Total working age population = D. The Employment/Population Ratio Total employment Employment/Population Ratio Total working age population = E. Unemployment and Labor Market Tightness ◼ Solutions to End - of - Chapter Problems 1. Product accounting adds up value added by all producers. The wheat producer has no intermediate inputs and produces 30 million bushels at $3/bu. for $90 million. The bread producer produces 100 million loaves at $3.50/loaf for $350 million. The bread producer uses $75 million worth of wheat as an input. Therefore, the bread producer’s value added is $275 million. Total GDP is therefore $90 million + $275 million = $365 million.

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    Chapter 2 Measurement 8 Expenditure accounting adds up the value of expenditures on final output. Consumers buy 100 million loaves at $3.50/loaf for $350 million. The wheat producer adds 5 million bushels of wheat to inventory. Therefore, investment spending is equal to 5 million bushels of wheat valued at $3/bu., which costs $15 million. Total GDP is therefore $350 million + $15 million = $365 million. 2. Coal producer, steel producer, and consumers. (a) (i) Product approach: Coal producer produces 15 million tons of coal at $5/ton, which adds $75 million to GDP. The steel producer produces 10 million tons of steel at $20/ton, which is worth $200 million. The steel producer pays $125 million for 25 million tons of coal at $5/ton. The steel producer’s value added is therefore $75 million. GDP is equal to $75 million + $75 million = $150 million. (ii) Expenditure approach: Consumers buy 8 million tons of steel at $20/ton, so consumption is $160 million. There is no investment and no government spending. Exports are 2 million tons of steel at $20/ton, which is worth $40 million. Imports are 10 million tons of coal at $5/ton, which is worth $50 million. Net exports are therefore equal to $40 million − $50 million = − $10 million. GDP is therefore equal to $160 million + ( − $10 million) = $150 million. (iii) Income approach: The coal producer pays $50 million in wages and the steel producer pays $40 million in wages, so total wages in the economy equal $90 million. The coal producer receives $75 million in revenue for selling 15 million tons at $15/ton. The coal producer pays $50 million in wages, so the coal producer’s profits are $25 million. The steel producer receives $200 million in revenue for selling 10 million tons of steel at $20/ton. The steel producer pays $40 million in wages and pays $125 million for the 25 mill ion tons of coal that it needs to produce steel. The steel producer’s profits are therefore equal to $200 million − $40 million − $125 million = $35 million. Total profit income in the economy is therefore $25 million + $35 million = $60 million. GDP therefore is equal to wage income ($90 million) plus profit income ($60 million). GDP is therefore $150 million. (b) There are no net factor payments from abroad in this example. Therefore, the current account surplus is equal to net exports, which is equal to ( − $10 million). (c) As originally formulated, GNP is equal to GDP, which is equal to $150 million. Alternatively, if foreigners receive $25 million in coal industry profits as income, then net factor payments from abroad are ( − $25 million), so GNP is equal to $125 million. 3. Wheat and Bread (a) Product approach: Firm A produces 50,000 bushels of wheat, with no intermediate goods inputs. At $3/bu., the value of Firm A’s production is equal to $150,000. Firm B produces 50,000 loaves of bread at $2/loaf, which is valued at $100,000. Firm B pays $60,000 to

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    Chapter 2 Measurement 9 firm A for 20,000 bushels of wheat, which is an intermediate input. Firm B’s value added is therefore $40,000. GDP is therefore equal to $190,000. (b) Expenditure approach: Consumers buy 50,000 loaves of domestically produced bread at $2/loaf and 15,000 loaves of imported bread at $1/loaf. Consumption spending is therefore equal to $100,000 + $15,000 = $115,000. Firm A adds 5,000 bushels of wheat to inventory. Wheat is worth $3/bu., so investment is equal to $15,000. Firm A exports 25,000 bushels of wheat for $3/bu. Exports are $75,000. Consumers import 15,000 loaves of bread at $1/loaf. Imports are $15,000. Net exports are equal to $75,000 − $15,000 = $60,000. There is no government spending. GDP is equal to consumption ($115,000) plus investment ($15,000) plus net exports ($60,000). GDP is therefore equal to $190,000. (c) Income approach: Firm A pays $50,000 in wages. Firm B pays $20,000 in wages. Total wages are therefore $70,000. Firm A produces $150,000 worth of wheat and pays $50,000 in wages. Firm A’s profits are $100,000. Firm B produces $100,000 worth of bread. Firm B pays $20,000 in wages and pays $60,000 to Firm A for wheat. Firm B’s profits are $100,000 − $20,000 − $60,000 = $20,000. Total profit income in the economy equals $100,000 + $20, 000 = $120,000. Total wage income ($70,000) plus profit income ($120,000) equals $190,000. GDP is therefore $190,000. 4. Price and quantity data are given as the following. Year 1 Good Quantity Price Computers 20 $1,000 Bread 10,000 $1.00 Year 2 Good Quantity Price Computers 25 $1,500 Bread 10,000 $1.00 (a) Year 1 nominal GDP 20 $1,000 10,000 $1.00 $30,000 =  +  = . Year 2 nominal GDP 25 $1,500 12,000 $1.10 $50,700 =  +  = .

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    Chapter 2 Measurement 10 With year 1 as the base year, we need to value both years’ production at year 1 prices. In the base year, year 1, real GDP equals nominal GDP equals $30,000. In year 2, we need to value year 2’s output at year 1 prices. Year 2 real GDP 25 $1,000 12,000 $1.00 $37,000 =  +  = . The percentage change in real GDP equals ($37,000 − $30,000)/$30,000 23.33%. We next calculate chain - weighted real GDP. At year 1 prices, the ratio of year 2 real GDP to year 1 real GDP equals g 1 = ($37,000/$30,000) = 1.2333. We must next compute real GDP using year 2 prices. Year 2 GDP valued at year 2 prices equals year 2 nominal GDP = $50,700. Year 1 GDP valued at year 2 prices equals (20  $1,500 + 10,000  $1.10) = $41,000. The ratio of year 2 GDP at year 2 prices to year 1 GDP at year 2 prices equals g 2 = ($50,700/$41,000) = 1.2367. The chain - weighted ratio of real GDP in the two years therefore is equal to 1 2 1.23496 c g g g = = . The percentage change chain - weighted real GDP from year 1 to year 2 is therefore approximately 23.5%. If we (arbitrarily) designate year 1 as the base year, then year 1 chain - weighted GDP equals nominal GDP equals $30,000. Year 2 chain - weighted real GDP is equal to (1.23496  $30,000) = $37,048.75. (b) To calculate the implicit GDP deflator, we divide nominal GDP by real GDP, and then multiply by 100 to express as an index number. With year 1 as the base year, base year nominal GDP equals base year real GDP, so the base year implicit GDP deflator is 100. For the year 2, the implicit GDP deflator is ($50,700/$37,000)  100 = 137.0. The percentage change in the deflator is equal to 37.0%. With chain weighting, and the base year set at year 1, the year 1 GDP deflator equals ($30,000/$30,000)  100 = 100. The chain - weighted deflator for year 2 is now equal to ($50,700/$37,048.75)  100 = 136.85. The percentage change in the chain - weighted deflator equals 36.85%. (c) We next consider the possibility that year 2 computers are twice as productive as year 1 computers. As one possibility, let us define a “computer” as a year 1 computer. In thi s case, the 25 computers produced in year 2 are the equivalent of 50 year 1 computers. Each year 1 computer now sells for $750 in year 2. We now revise the original data as: Year 1 Good Quantity Price Year 1 Computers 20 $1,000 Bread 10,000 $1.00

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    Chapter 2 Measurement 11 Year 2 Good Quantity Price Year 1 Computers 50 $750 Bread 12,000 $1.10 First, note that the change in the definition of a “computer” does not affect the calculations of nominal GDP. We next compute real GDP with year 1 as the base year. Year 2 real GDP in year 1 prices is now 50 $1,000 12,000 $1.00 $62,000.  +  = The percentage change in real GDP is equal to ($62,000 − $30,000)/$30,000 = 106.7%. We next revise the calculation of chain - weighted real GDP. From above, g 1 equals ($62,000/$30,000) = 206.67. The value of year 1 GDP at year 2 prices equals $26,000. Therefore, g 2 equals ($50,700/$26,000) = 1.95. 200.75. The percentage change chain - weighted real GDP from year 1 to year 2 is therefore 100.75%. If we (arbitrarily) designate year 1 as the base year, then year 1 chain - weighted GDP equals nominal GDP equals $30,000. Year 2 chain - weighted real GDP is equal to (2.0075  $30,000) $60,225. The chain - weighted deflator for year 1 is automatically 100. The chain - weighted deflator for year 2 equals ($50,700/$60,225)  100 = 84.18. The percentage rate of change of the chain - weighted deflator equals − 15.8%. When there is no quality change, the difference between using year 1 as the base year and using chain weighting is relatively small. Factoring in the increased performance of year 2 computers, the production of computers rises dramatically while its relative price falls. Compared with earlier practices, chain weighting provides a smaller estimate of the increase in production and a smaller estimate of the reduction in prices. This difference is due to the fact that the relative price of the good that increases most in quantity (computers) is much higher in year 1. Therefore, the use of historical prices puts more weight on the increase in quality - adjusted computer output. 5. The underground economy includes any unreported economic activity, including illegal activities and those which are transacted in cash and not part of tax filings. Its exclusion from GDP leads to the underestimation of GDP, often by a substantial amount. 6. Intermediate goods are excluded from GDP because their inclusion, along with the value of final goods, would lead to double counting and an overestimation of GDP. 7. Price controls. Nominal GDP is calculated by measuring output at market prices. In the event of effective price controls, measured prices equal the controlled prices. However, controlled prices reflect an inaccurate measure of scarcity values. Nominal GDP is therefore distorted. In addition to distortions in nominal GDP measures, price controls also inject an inaccuracy

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    Chapter 2 Measurement 12 in attempts to decompose changes in nominal GDP into movements in real GDP and movements in prices. With price controls, there is typically little or no change in white market prices over time. Alternatively, black market or scarcity value prices typically increase, perhaps dramatically. Measures of prices (in terms of scarcity values) understate inflation. Whenever inflation measures are too low, changes in real GDP overstate the extent of increases in actual production. 8. Depreciation is the value of productive capital (plant and equipment ) that wears out during a given period. 9. Transfers are payments made by the government in order to transfer purchasing power from one group of economic agents to another, and they include such items as Social Security payments and unemployment insurance payments. Transfers are not included in GDP as they are income redistribution rather than income creation. 10. The dollar value of a transaction need not all be a contribution to GDP. Indeed, typically only a fraction of any given transaction in the economy actually represents something we should add to GDP. For example, the production of a given good could involve many stages, with each stage of production done in a different firm. At each stage of production, the intermediate good gets passed on to the next firm in the production process, and a transaction takes place. From this chapter, we know that we only count the value - added at each stage of production toward GDP. Similarly, the financial sector contributes to GDP, but the dollar value of every financial transaction is not counted toward GDP, and rightly so. If the Bank of America makes a payment of $10 million to J.P. Morgan Chase, that payment represents the settlement of a debt between the two institutions. What is actually provided, in terms of financial goods and services, could be very small when measured correctly. 11. The implicit GDP price deflator is a measure of the price level calculated as the ratio of nominal GDP to real GDP, normalizing GDP in the base year to 100. 12. The answers to parts (a) and (b) are in the table. Year Capital when initial capital = 80 Capital when initial capital = 100 0 80 100 1 82.0 100 2 83.8 100 3 85.4 100 4 86.9 100 5 88.2 100

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    Chapter 2 Measurement 13 6 89.4 100 7 90.4 100 8 91.4 100 9 92.3 100 10 93.0 100 In the first case, where the initial quantity of capital was 80, with a constant quantity of investment each period, the quantity of capital increases over time, but at a decreasing rate (note the the increment to the capital stock gets smaller each period). This happens because, as the capital stock grows, the total amount of capital that depreciates each period increases. The quantity of capital appears to be converging to some quantity, but what is this quantity? When the quantity of capital is initially 100, then the capital stock stays at 100 indefinitely, as long as investment is 10 each period. This is because, when the capital stock is 100, the total quantity of depreciation each period when the depreciation rate is 10% is 10, so new investment just replaces the capital that depreciates each period. Here 100 is what we would call the “steady state” quantity of capital. Steady states are useful when we study economic growth in Chapters 7 and 8. 13. Assume the following: 10 5 40 30 80 10 5 20 D INT T G C NFP CA S = = = = = = = − = (a) 20 10 80 110 d p Y S C S D C = + = + + = + + = (b) 10 30 5 40 15 D G TR INT T TR D G INT T = + + − = − − + = − − + = (c) 20 80 30 130 S GNP C G GNP S C G = − − = + + = + + =

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    Chapter 2 Measurement 14 (d) 130 10 120 GDP GNP NFP = − = − = (e) Government Surplus 10 g S D = = − = − (f) 5 10 15 CA NX NFP NX CA NFP = + = − = − − = − (g) 120 80 30 15 25 GDP C I G NX I GDP C G NX = + + + = − − − = − − + = 14. First some preliminaries. As the unemployment rate is 5% and there are 2.5 million unemployed, it must be that the labor force is 50 million (2.5/0.05). Thus, the participation rate is 50% (50/100), the labor force 50 million, the number of employed workers 47.5 million (50 - 2.5), and the employment/population ratio is 47.5% (47.5/100). 15. The unemployment rate is the ratio of the number of people employed to the total labor force. The participation rate measures that part of the working population, which is actually in the labor force and is measured as the ratio of the total labor force to the total working age populatio n.

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