曼昆中级宏观经济学(英文)(9)
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宏观经济学曼昆第9版教材下载及视频网课曼昆《宏观经济学》(第9版)网授精讲班【教材精讲+考研真题串讲】来源:才聪学习网目录曼昆《宏观经济学》(第9版)网授精讲班【共47课时】电子书(题库)•曼昆《宏观经济学》(第9版)笔记和课后习题详解•曼昆《宏观经济学》(第9版)名校考研真题详解•试看部分内容宏观经济学科学一、名词解释宏观经济学(东南大学2005研)答:相对于“微观经济学”而言,宏观经济学是一种现代的经济分析方法。
它以国民经济总体作为考察对象,研究经济生活中有关总量的决定与变动,解释失业、通货膨胀、经济增长与波动、国际收支与汇率的决定和变动等经济中的宏观整体问题,所以又称为总量经济学。
宏观经济学的中心和基础是总供给-总需求模型。
具体来说,宏观经济学主要包括总需求理论、总供给理论、失业与通货膨胀理论、经济周期与经济增长理论、开放经济理论和宏观经济政策等内容。
对宏观经济问题进行分析与研究的历史十分悠久,但现代意义上的宏观经济学直到20世纪30年代才得以形成和发展起来。
宏观经济学诞生的标志是凯恩斯于1936年出版的《就业、利息和货币通论》。
宏观经济学在20世纪30年代奠定基础,二战后逐步走向成熟并得到广泛应用,20世纪60年代后的“滞胀”问题使凯恩斯主义的统治地位受到严重挑战并形成了货币主义、供给学派、理性预期学派对立争论的局面,20世纪90年代新凯恩斯主义的形成又使国家干预思想占据主流。
宏观经济学是当代发展最为迅猛,应用最为广泛,因而也是最为重要的经济学学科。
二、简答题宏观经济学常用的分析方法是什么?(西安交大2004研)答:相对于“微观经济学”而言,宏观经济学是一种现代的经济分析方法。
它以国民经济总体作为考察对象,研究经济生活中有关总量的决定与变动,解释失业、通货膨胀、经济增长与波动、国际收支与汇率的决定和变动等经济中的宏观整体问题,所以又称为总量经济学。
具体而言,宏观经济学主要采用以下分析方法:(1)实证分析方法实证分析方法的实质就是揭示经济现象之间的因果联系,分为经验实证和逻辑实证两种方法。
Answers to Textbook Questions and ProblemsCHAPTER 9 Economic Growth II: Technology, Empirics, and PolicyQuestions for Review1. In the Solow model, we find that only technological progress can affect the steady-state rate of growthin income per worker. Growth in the capital stock (through high saving) has no effect on the steady-state growth rate of income per worker; neither does population growth. But technological progress can lead to sustained growth.2. In the steady state, output per person in the Solow model grows at the rate of technological progress g.Capital per person also grows at rate g. Note that this implies that output and capital per effectiveworker are constant in steady state. In the U.S. data, output and capital per worker have both grown at about 2 percent per year for the past half-century.3. To decide whether an economy has more or less capital than the Golden Rule, we need to compare themarginal product of capital net of depreciation (MPK –δ) with the growth rate of total output (n + g).The growth rate of GDP is readily available. Estimating the net marginal product of capital requires a little more work but, as shown in the text, can be backed out of available data on the capital stock relative to GDP, the total amount o f depreciation relative to GDP, and capital’s share in GDP.4. Economic policy can influence the saving rate by either increasing public saving or providingincentives to stimulate private saving. Public saving is the difference between government revenue and government spending. If spending exceeds revenue, the government runs a budget deficit, which is negative saving. Policies that decrease the deficit (such as reductions in government purchases or increases in taxes) increase public saving, whereas policies that increase the deficit decrease saving. A variety of government policies affect private saving. The decision by a household to save may depend on the rate of return; the greater the return to saving, the more attractive saving becomes. Taxincentives such as tax-exempt retirement accounts for individuals and investment tax credits forcorporations increase the rate of return and encourage private saving.5. The legal system is an example of an institutional difference between countries that might explaindifferences in income per person. Countries that have adopted the English style common law system tend to have better developed capital markets, and this leads to more rapid growth because it is easier for businesses to obtain financing. The quality of government is also important. Countries with more government corruption tend to have lower levels of income per person.6. Endogenous growth theories attempt to explain the rate of technological progress by explaining thedecisions that determine the creation of knowledge through research and development. By contrast, the Solow model simply took this rate as exogenous. In the Solow model, the saving rate affects growth temporarily, but diminishing returns to capital eventually force the economy to approach a steady state in which growth depends only on exogenous technological progress. By contrast, many endogenous growth models in essence assume that there are constant (rather than diminishing) returns to capital, interpreted to include knowledge. Hence, changes in the saving rate can lead to persistent growth. Problems and Applications1. a. In the Solow model with technological progress, y is defined as output per effective worker, and kis defined as capital per effective worker. The number of effective workers is defined as L E (or LE), where L is the number of workers, and E measures the efficiency of each worker. To findoutput per effective worker y, divide total output by the number of effective workers:Y LE =K12(LE)12LEY LE =K12L12E12LEY LE =K12 L1E1Y LE =KLE æèççöø÷÷12y=k12b. To solve for the steady-state value of y as a function of s, n, g, and δ, we begin with the equationfor the change in the capital stock in the steady state:Δk = sf(k) –(δ + n + g)k = 0.The production function ycan also be rewritten as y2 = k. Plugging this production functioninto the equation for the change in the capital stock, we find that in the steady state:sy –(δ + n + g)y2 = 0.Solving this, we find the steady-state value of y:y* = s/(δ + n + g).c. The question provides us with the following information about each country:Atlantis: s = 0.28 Xanadu: s = 0.10n = 0.01 n = 0.04g = 0.02 g = 0.02δ = 0.04δ = 0.04Using the equation for y* that we derived in part (a), we can calculate the steady-state values of yfor each country.Developed country: y* = 0.28/(0.04 + 0.01 + 0.02) = 4Less-developed country: y* = 0.10/(0.04 + 0.04 + 0.02) = 12. a. In the steady state, capital per effective worker is constant, and this leads to a constant level ofoutput per effective worker. Given that the growth rate of output per effective worker is zero, this means the growth rate of output is equal to the growth rate of effective workers (LE). We know labor grows at the rate of population growth n and the efficiency of labor (E) grows at rate g. Therefore, output grows at rate n+g. Given output grows at rate n+g and labor grows at rate n, output perworker must grow at rate g. This follows from the rule that the growth rate of Y/L is equal to thegrowth rate of Y minus the growth rate of L.b. First find the output per effective worker production function by dividing both sides of theproduction function by the number of effective workers LE:Y LE =K13(LE)23LEYLE=K13L23E23LEYLE=K13L13E13YLE=KLEæèçöø÷13y=k13To solve for capital per effective worker, we start with the steady state condition:Δk = sf(k) –(δ + n + g)k = 0.Now substitute in the given parameter values and solve for capital per effective worker (k):Substitute the value for k back into the per effective worker production function to find output per effective worker is equal to 2. The marginal product of capital is given bySubstitute the value for capital per effective worker to find the marginal product of capital is equal to 1/12.c. According to the Golden Rule, the marginal product of capital is equal to (δ + n + g) or 0.06. In thecurrent steady state, the marginal product of capital is equal to 1/12 or 0.083. Therefore, we haveless capital per effective worker in comparison to the Golden Rule. As the level of capital pereffective worker rises, the marginal product of capital will fall until it is equal to 0.06. To increase capital per effective worker, there must be an increase in the saving rate.d. During the transition to the Golden Rule steady state, the growth rate of output per worker willincrease. In the steady state, output per worker grows at rate g. The increase in the saving rate will increase output per effective worker, and this will increase output per effective worker. In the new steady state, output per effective worker is constant at a new higher level, and output per worker is growing at rate g. During the transition, the growth rate of output per worker jumps up, and thentransitions back down to rate g.3. To solve this problem, it is useful to establish what we know about the U.S. economy:• A Cobb–Douglas production function has the form y = kα, where α is capital’s share of income.The question tells us that α = 0.3, so we know that the production functio n is y = k0.3.•In the steady state, we know that the growth rate of output equals 3 percent, so we know that (n +g) = 0.03.•The depreciation rate δ = 0.04.•The capital–output ratio K/Y = 2.5. Because k/y = [K/(LE)]/[Y/(LE)] = K/Y, we also know that k/y =2.5. (That is, the capital–output ratio is the same in terms of effective workers as it is in levels.)a. Begin with the steady-state condition, sy = (δ + n + g)k. Rewriting this equation leads to a formulafor saving in the steady state:s = (δ + n + g)(k/y).Plugging in the values established above:s = (0.04 + 0.03)(2.5) = 0.175.The initial saving rate is 17.5 percent.b. We know from Chapter 3 that with a Cobb–Douglas production function, capital’s share ofincome α = MPK(K/Y). Rewriting, we haveMPK = α/(K/Y).Plugging in the values established above, we findMPK = 0.3/2.5 = 0.12.c. We know that at the Golden Rule steady state:MPK = (n + g + δ).Plugging in the values established above:MPK = (0.03 + 0.04) = 0.07.At the Golden Rule steady state, the marginal product of capital is 7 percent, whereas it is 12 percent in the initial steady state. Hence, from the initial steady state we need to increase k to achieve the Golden Rule steady state.d. We know from Chapter 3 that for a Cobb–Douglas production function, MPK = α (Y/K). Solvingthis for the capital–output ratio, we findK/Y = α/MPK.We can solve for the Golden Rule capital–output ratio using this equation. If we plug in the value0.07 for the Golden Rule steady-state marginal product of capital, and the value 0.3 for α, we findK/Y = 0.3/0.07 = 4.29.In the Golden Rule steady state, the capital–output ratio equals 4.29, compared to the current capital–output ratio of 2.5.e. We know from part (a) that in the steady states = (δ + n + g)(k/y),where k/y is the steady-state capital–output ratio. In the introduction to this answer, we showed that k/y = K/Y, and in part (d) we found that the Golden Rule K/Y = 4.29. Plugging in this value and those established above:s = (0.04 + 0.03)(4.29) = 0.30.To reach the Golden Rule steady state, the saving rate must rise from 17.5 to 30 percent. Thisresult implies that if we set the saving rate equal to the share going to capital (30 percent), we will achieve the Golden Rule steady state.4. a. In the steady state, we know that sy = (δ + n + g)k. This implies thatk/y = s/(δ + n + g).Since s, δ, n, and g are constant, this means that the ratio k/y is also constant. Since k/y =[K/(LE)]/[Y/(LE)] = K/Y, we can conclude that in the steady state, the capital–output ratio isconstant.b. We know that capital’s share of income = MPK ⨯ (K/Y). In the steady state, we know from part (a)that the capital–output ratio K/Y is constant. We also know from the hint that the MPK is afunction of k, which is constant in the steady state; therefore the MPK itself must be constant.Thus, capital’s share of income is constant. Labor’s share of income is 1 – [C apital’s Share].Hence, if capital’s share is con stant, we see that labor’s share of income is also constant.c. We know that in the steady state, total income grows at n + g, defined as the rate of populationgrowth plus the rate of technological change. In part (b) we showed that labor’s and capital’s share of income is constant. If the shares are constant, and total income grows at the rate n + g, thenlabor income and capital income must also grow at the rate n + g.d. Define the real rental price of capital R asR = Total Capital Income/Capital Stock= (MPK ⨯K)/K= MPK.We know that in the steady state, the MPK is constant because capital per effective worker k isconstant. Therefore, we can conclude that the real rental price of capital is constant in the steadystate.To show that the real wage w grows at the rate of technological progress g, defineTLI = Total Labor IncomeL = Labor ForceUsing the hint that the real wage equals total labor income divided by the labor force:w = TLI/L.Equivalently,wL = TLI.In terms of percentage changes, we can write this asΔw/w + ΔL/L = ΔTLI/TLI.This equation says that the growth rate of the real wage plus the growth rate of the labor forceequals the growth rate of total labor income. We know that the labor force grows at rate n, and,from part (c), we know that total labor income grows at rate n + g. We, therefore, conclude that the real wage grows at rate g.5. a. The per worker production function isF(K, L)/L = AKαL1–α/L = A(K/L)α = Akαb. In the steady state, Δk = sf (k ) – (δ + n + g )k = 0. Hence, sAk α = (δ + n + g )k , or, after rearranging:k *=sA d +n +g éëêêùûúúa 1-a æèççöø÷÷.Plugging into the per-worker production function from part (a) givesy *=A a 1-æèççöø÷÷s d +n +g éëêêùûúúa 1-a æèççöø÷÷.Thus, the ratio of steady-state income per worker in Richland to Poorland isy *Richland/y *Poorland ()=s Richland d +n Richland +g /s Poorlandd +n Poorland+g éëêêùûúúa1-a =0.320.05+0.01+0.02/0.100.05+0.03+0.02éëêêùûúúa1-ac. If α equals 1/3, then Richland should be 41/2, or two times, richer than Poorland.d. If 4a 1-a æèççöø÷÷= 16, then it must be the case thata 1-a æèççöø÷÷, which in turn requires that α equals 2/3.Hence, if the Cobb –Douglas production function puts 2/3 of the weight on capital and only 1/3 on labor, then we can explain a 16-fold difference in levels of income per worker. One way to justify this might be to think about capital more broadly to include human capital —which must also be accumulated through investment, much in the way one accumulates physical capital.6. How do differences in education across countries affect the Solow model? Education is one factoraffecting the efficiency of labor , which we denoted by E . (Other factors affecting the efficiency of labor include levels of health, skill, and knowledge.) Since country 1 has a more highly educated labor force than country 2, each worker in country 1 is more efficient. That is, E 1 > E 2. We will assume that both countries are in steady state. a. In the Solow growth model, the rate of growth of total income is equal to n + g , which isindependent of the work force’s level of education. The two countries will, thus, have the same rate of growth of total income because they have the same rate of population growth and the same rate of technological progress.b. Because both countries have the same saving rate, the same population growth rate, and the samerate of technological progress, we know that the two countries will converge to the same steady-state level of capital per effective worker k *. This is shown in Figure 9-1.Hence, output per effective worker in the steady state, which is y* = f(k*), is the same in bothcountries. But y* = Y/(L E) or Y/L = y*E. We know that y* will be the same in both countries, but that E1 > E2. Therefore, y*E1 > y*E2. This implies that (Y/L)1 > (Y/L)2. Thus, the level of incomeper worker will be higher in the country with the more educated labor force.c. We know that the real rental price of capital R equals the marginal product of capital (MPK). Butthe MPK depends on the capital stock per efficiency unit of labor. In the steady state, bothcountries have k*1= k*2= k* because both countries have the same saving rate, the same population growth rate, and the same rate of technological progress. Therefore, it must be true that R1 = R2 = MPK. Thus, the real rental price of capital is identical in both countries.d. Output is divided between capital income and labor income. Therefore, the wage per effectiveworker can be expressed asw = f(k) –MPK • k.As discussed in parts (b) and (c), both countries have the same steady-state capital stock k and the same MPK. Therefore, the wage per effective worker in the two countries is equal.Workers, however, care about the wage per unit of labor, not the wage per effective worker.Also, we can observe the wage per unit of labor but not the wage per effective worker. The wageper unit of labor is related to the wage per effective worker by the equationWage per Unit of L = wE.Thus, the wage per unit of labor is higher in the country with the more educated labor force.7. a. In the two-sector endogenous growth model in the text, the production function for manufacturedgoods isY = F [K,(1 –u) EL].We assumed in this model that this function has constant returns to scale. As in Section 3-1,constant returns means that for any positive number z, zY = F(zK, z(1 –u) EL). Setting z = 1/EL,we obtainY EL =FKEL,(1-u)æèççöø÷÷.Using our standard definitions of y as output per effective worker and k as capital per effective worker, we can write this asy = F[k,(1 –u)]b. To begin, note that from the production function in research universities, the growth rate of laborefficiency, ΔE/E, equals g(u). We can now follow the logic of Section 9-1, substituting thefunction g(u) for the constant growth rate g. In order to keep capital per effective worker (K/EL) constant, break-even investment includes three terms: δk is needed to replace depreciating capital, nk is needed to provide capital for new workers, and g(u) is needed to provide capital for thegreater stock of knowledge E created by research universities. That is, break-even investment is [δ + n + g(u)]k.c. Again following the logic of Section 9-1, the growth of capital per effective worker is thedifference between saving per effective worker and break-even investment per effective worker.We now substitute the per-effective-worker production function from part (a) and the function g(u) for the constant growth rate g, to obtainΔk = sF [k,(1 –u)] – [δ + n + g(u)]kIn the steady state, Δk = 0, so we can rewrite the equation above assF [k,(1 –u)] = [δ + n + g(u)]k.As in our analysis of the Solow model, for a given value of u, we can plot the left and right sides of this equationThe steady state is given by the intersection of the two curves.d. The steady state has constant capital per effective worker k as given by Figure 9-2 above. We alsoassume that in the steady state, there is a constant share of time spent in research universities, so u is constant. (After all, if u were not constant, it wouldn’t be a “steady” state!). Hence, output per effective worker y is also constant. Output per worker equals yE, and E grows at rate g(u).Therefore, output per worker grows at rate g(u). The saving rate does not affect this growth rate.However, the amount of time spent in research universities does affect this rate: as more time is spent in research universities, the steady-state growth rate rises.e. An increase in u shifts both lines in our figure. Output per effective worker falls for any givenlevel of capital per effective worker, since less of each worker’s time is spent producingmanufactured goods. This is the immediate effect of the change, since at the time u rises, thecapital stock K and the efficiency of each worker E are constant. Since output per effective worker falls, the curve showing saving per effective worker shifts down.At the same time, the increase in time spent in research universities increases the growth rate of labor efficiency g(u). Hence, break-even investment [which we found above in part (b)] rises at any given level of k, so the line showing breakeven investment also shifts up.Figure 9-3 shows these shifts.In the new steady state, capital per effective worker falls from k1 to k2. Output per effective worker also falls.f. In the short run, the increase in u unambiguously decreases consumption. After all, we argued inpart (e) that the immediate effect is to decrease output, since workers spend less time producingmanufacturing goods and more time in research universities expanding the stock of knowledge.For a given saving rate, the decrease in output implies a decrease in consumption.The long-run steady-state effect is more subtle. We found in part (e) that output per effective worker falls in the steady state. But welfare depends on output (and consumption) per worker, not per effective worker. The increase in time spent in research universities implies that E grows faster.That is, output per worker equals yE. Although steady-state y falls, in the long run the fastergrowth rate of E necessarily dominates. That is, in the long run, consumption unambiguously rises.Nevertheless, because of the initial decline in consumption, the increase in u is not unambiguously a good thing. That is, a policymaker who cares more about current generationsthan about future generations may decide not to pursue a policy of increasing u. (This is analogous to the question considered in Chapter 8 of whether a policymaker should try to reach the GoldenRule level of capital per effective worker if k is currently below the Golden Rule level.)8. On the World Bank Web site (), click on the data tab and then the indicators tab.This brings up a large list of data indicators that allows you to compare the level of growth anddevelopment across countries. To explain differences in income per person across countries, you might look at gross saving as a percentage of GDP, gross capital formation as a percentage of GDP, literacy rate, life expectancy, and population growth rate. From the Solow model, we learned that (all else the same) a higher rate of saving will lead to higher income per person, a lower population growth rate will lead to higher income per person, a higher level of capital per worker will lead to a higher level of income per person, and more efficient or productive labor will lead to higher income per person. The selected data indicators offer explanations as to why one country might have a higher level of income per person. However, although we might speculate about which factor is most responsible for thedifference in income per person across countries, it is not possible to say for certain given the largenumber of other variables that also affect income per person. For example, some countries may have more developed capital markets, less government corruption, and better access to foreign directinvestment. The Solow model allows us to understand some of the reasons why income per person differs across countries, but given it is a simplified model, it cannot explain all of the reasons why income per person may differ.More Problems and Applications to Chapter 91. a. The growth in total output (Y) depends on the growth rates of labor (L), capital (K), and totalfactor productivity (A), as summarized by the equationΔY/Y = αΔK/K + (1 –α)ΔL/L + ΔA/A,where α is capital’s share of output. We can look at the effect on output of a 5-percent increase in labor by setting ΔK/K = ΔA/A = 0. Since α = 2/3, this gives usΔY/Y = (1/3)(5%)= 1.67%.A 5-percent increase in labor input increases output by 1.67 percent.Labor productivity is Y/L. We can write the growth rate in labor productivity asD Y Y =D(Y/L)Y/L-D LL.Substituting for the growth in output and the growth in labor, we findΔ(Y/L)/(Y/L) = 1.67% – 5.0%= –3.34%.Labor productivity falls by 3.34 percent.To find the change in total factor productivity, we use the equationΔA/A = ΔY/Y –αΔK/K – (1 –α)ΔL/L.For this problem, we findΔA/A = 1.67% – 0 – (1/3)(5%)= 0.Total factor productivity is the amount of output growth that remains after we have accounted for the determinants of growth that we can measure. In this case, there is no change in technology, so all of the output growth is attributable to measured input growth. That is, total factorproductivity growth is zero, as expected.b. Between years 1 and 2, the capital stock grows by 1/6, labor input grows by 1/3, and output growsby 1/6. We know that the growth in total factor productivity is given byΔA/A = ΔY/Y –αΔK/K – (1 –α)ΔL/L.Substituting the numbers above, and setting α = 2/3, we findΔA/A = (1/6) – (2/3)(1/6) – (1/3)(1/3)= 3/18 – 2/18 – 2/18= – 1/18= –0.056.Total factor productivity falls by 1/18, or approximately 5.6 percent.2. By definition, output Y equals labor productivity Y/L multiplied by the labor force L:Y = (Y/L)L.Using the mathematical trick in the hint, we can rewrite this asD Y Y =D(Y/L)Y/L+D LL.We can rearrange this asD Y Y =D YY-D LL.Substituting for ΔY/Y from the text, we findD(Y/L) Y/L =D AA+aD KK+(1-a)D LL-D LL =D AA+aD KK-aD LL=D AA+aD KK-D LLéëêêùûúúUsing the same trick we used above, we can express the term in brackets asΔK/K –ΔL/L = Δ(K/L)/(K/L)Making this substitution in the equation for labor productivity growth, we conclude thatD(Y/L) Y/L =D AA+aD(K/L)K/L.3. We know the following:ΔY/Y = n + g = 3.6%ΔK/K = n + g = 3.6%ΔL/L = n = 1.8%Capital’s Share = α = 1/3Labor’s Share = 1 –α = 2/3Using these facts, we can easily find the contributions of each of the factors, and then find the contribution of total factor productivity growth, using the following equations:Output = Capital’s+ Labor’s+ Total FactorGrowth Contribution Contribution ProductivityD Y Y =aD KK+(1-a)D LL+D AA3.6% = (1/3)(3.6%) + (2/3)(1.8%) + ΔA/A. We can easily solve this for ΔA/A, to find that3.6% = 1.2% + 1.2% + 1.2%We conclude that the contribution of capital is 1.2 percent per year, the contribution of labor is 1.2 percent per year, and the contribution of total factor productivity growth is 1.2 percent per year. These numbers match the ones in Table 9-3 in the text for the United States from 1948–2002.。
宏观经济学课后习题答案(共9篇)宏观经济学课后习题答案(一): 这是曼昆的宏观经济学的24章的课后习题,求高手解答,我要详细的计算过程!答案我已经知道,是变动0.4美元在长期中,糖果的价格从0.10美元上升到0.60美元。
在同一时期中,消费物价指数从150上升到300。
根据整体通货膨胀进行调整后,糖果的价格变动了多少我要详细的解答过程,怎么算的就行了!由CPI可知,通货膨胀率=(300-150)/150*100%=100%糖果的原始价格P=0.1在这段时间通过通货膨胀变为0.1*(1+通货膨胀率)=0.2实际上糖果在后来卖到了0.6,所以糖果实际价格变动了0.6-0.2=0.4美元宏观经济学课后习题答案(二): 曼昆宏观经济学26章课后题答案是不是错了假设政府明年借债比今年多了200亿美元,对于可贷资金市场的利率和投资,供给和需求曲线的变动,答案是不是有错答案说是供给曲线不变,需求曲线右移,我认为是需求曲线不动,供给曲线左移……财政政策当然变动的是需求,供给怎么可能变动,你可能是总供给和总需求有些混淆,我开始的时候也不是很清楚,多看几遍就明白了,供给曲线可能因为劳动力变动,而合财政货币政策无关.这些政策变动的都是需求.另外右移就是借钱多了,就是投资需求多了,就是G多了,那就是需求曲线右移了宏观经济学课后习题答案(三): 谁有高鸿业版《西方经济学》宏观部分——第十七章课后题答案第十七章总需求——总供给模型1、(1)总需求是经济社会对产品和劳务的需求总量,这一需求总量通常以产出水平来表示.一个经济社会的总需求包括消费需求、投资需求、.政府购买和国外需求.总需求量受多种因素的影响,其中价格水平是一个重要的因素.在宏观经济学中,为了说明价格对总需求量的影响,引入了总需求曲线的概念,即总需求量与价格水平之间关系的几何表示.在凯恩斯主义的总需求理论中,总需求曲线的理论来源主要由产品市场均衡理论和货币市场均衡理论来反映.(2)在IS—LM模型中,一般价格水平被假定为一个常数(参数).在价格水平固定不变且货币供给为已知的情况下,IS曲线和LM曲线的交点决定均衡的收入水平.现用图1—62来说明怎样根据IS—LM图形推导总需求曲线.图1—62分上下两部.上图为IS—LM图.下图表示价格水平和需求总量之间的关系,即总需求曲线.当价格P的数值为时,此时的LM曲线与IS曲线相交于点 , 点所表示的国民收入和利率顺次为和 .将和标在下图中便得到总需求曲线上的一点 .现在假设P由下降到 .由于P的下降,LM曲线移动到的位置,它与IS曲线的交点为点. 点所表示的国民收入和利率顺次为和 .对应于上图的点 ,又可在下图中找到 .按照同样的程序,随着P的变化,LM曲线和IS曲线可以有许多交点,每一个交点都代表着一个特定的y和p.于是有许多P与的组合,从而构成了下图中一系列的点.把这些点连在一起所得到的曲线AD便是总需求曲线.从以上关于总需求曲线的推导中看到,总需求曲线表示社会中的需求总量和价格水平之间的相反方向的关系.即总需求曲线是向下方倾斜的.向右下方倾斜的总需求曲线表示,价格水平越高,需求总量越小;价格水平越低,需求总量越大.2、财政政策是政府变动税收和支出,以便影响总需求,进而影响就业和国民收入的政策.货币政策是指货币当局即中央银行通过银行体系变动货币供应量来调节总需求的政策.无论财政政策还是货币政策,都是通过影响利率、消费和投资进而影响总需求,使就业和国民收入得到调节的,通过对总需求的调节来调控宏观经济,所以称为需求管理政策.3、总供给曲线描述国民收入与一般价格水平之间的依存关系.根据生产函数和劳动力市场的均衡推导而得到.资本存量一定时,国民收入水平碎就业量的增加而增加,就业量取决于劳动力市场的均衡.所以总供给曲线的理论来源于生产函数和劳动力市场均衡的理论.4、总供给曲线的理论主要由总量生产函数和劳动力市场理论来反映的.在劳动力市场理论中,经济学家对工资和价格的变化和调整速度的看法是分歧的.古典总供给理论认为,劳动力市场运行没有阻力,在工资和价格可以灵活变动的情况下,劳动力市场得以出清,使经济的就业总能维持充分就业状态,从而在其他因素不变的情况下,经济的产量总能保持在充分就业的产量或潜在产量水平上.因此,在以价格为纵坐标,总产量为横坐标的坐标系中,古典供给曲线是一条位于充分就业产量水平的垂直线.凯恩斯的总供给理论认为,在短期,一些价格是粘性的,从而不能根据需求的变动而调整.由于工资和价格粘性,短期总供给曲线不是垂直的,凯恩斯总供给曲线在以价格为纵坐标,收入为横坐标的坐标系中是一条水平线,表明经济中的厂商在现有价格水平上,愿意供给所需的任何数量的商品.作为凯恩斯总供给曲线基础的思想是,作为工资和价格粘性的结果,劳动力市场不能总维持在充分就业状态,由于存在失业,厂商可以在现行工资下获得所需劳动.因而他们的平均生产成本被认为是不随产出水平变化而变化.一些经济学家认为,古典的和凯恩斯的总供给曲线分别代表着劳动力市场的两种极端的说法.在现实中工资和价格的调整经常介于两者之间.在这种情况下以价格为纵坐标,产量为横坐标的坐标系中,总供给曲线是向右上方延伸的,这即为常规的总需求曲线.总之,针对总量劳动市场关于工资和价格的不同假设,宏观经济学中存在着三种类型的总供给曲线.5、解答:宏观经济学在用总需求—总供给说明经济中的萧条,高涨和滞涨时,主要是通过说明短期的收入和价格水平的决定来完成的.如图1—63所示. 从图1—63可以看到,短期的收入和价格水平的决定有两种情况.第一种情况是,AD是总需求曲线, 使短期供给曲线,总需求曲线和短期供给曲线的交点E决定的产量或收入为y,价格水平为P,二者都处于很低的水平,第一种情况表示经济处于萧条状态.第二种情况是,当总需求增加,总需求曲线从AD向右移动到时,短期总供给曲线和新的总需求曲线的交点决定的产量或收入为 ,价格水平为 ,二者都处于很高的水平,第二种情况表示经济处于高涨状态.现在假定短期供给曲线由于供给冲击(如石油价格和工资等提高)而向左移动,但总需求曲线不发生变化.在这种情况下,短期收入和价格水平的决定可以用图1—64表示.在图1—64中,AD是总需求曲线,是短期总供给曲线,两者的交点E决定的产量或收入为,价格水平为P.现在由于出现供给冲击,短期总供给曲线向左移动到,总需求曲线和新的短期总供给曲线的交点决定的产量或收入为,价格水平为,这个产量低于原来的产量,而价格水平却高于原来的价格水平,这种情况表示经济处于滞涨状态,即经济停滞和通货膨胀结合在一起的状态.6、二者在“形式”上有一定的相似之处.微观经济学的供求模型主要说明单个商品的价格和数量的决定.宏观经济中的AD—AS模型主要说明总体经济的价格水平和国民收入的决定.二者在图形上都用两条曲线来表示,在价格为纵坐标,数量为横坐标的坐标系中,向右下方倾斜的为需求曲线,向右上方延伸的为供给曲线.但二者在内容上有很大的不同:其一,两模型涉及的对象不同.微观经济学的供求模型是微观领域的事物,而宏观经济中的AD—AS模型是宏观领域的事物.其二,各自的理论基础不同.微观经济学中的供求模型中的需求曲线的理论基础是消费者行为理论,而供给曲线的理论基础主要是成本理论和市场理论,它们均属于微观经济学的内容.宏观经济学中的总需求曲线的理论基础主要是产品市场均衡和货币市场均衡理论,而供给曲线的理论基础主要是劳动市场理论和总量生产函数,它们均属于宏观经济学的内容.其三,各自的功能不同.微观经济学中的供求模型在说明商品的价格和数量的决定的同时,还可以来说明需求曲线和供给曲线移动对价格和商品数量的影响,充其量这一模型只解释微观市场的一些现象和结果.宏观经济中的AD—AS模型在说明价格和产出决定的同时,可以用来解释宏观经济的波动现象,还可以用来说明政府运用宏观经济政策干预经济的结果.7、(1)由得;2023 + P = 2400 - P于是 P=200, =2200即得供求均衡点.(2)向左平移10%后的总需求方程为:于是,由有:2023 + P = 2160 – PP=80 , =2080与(1)相比,新的均衡表现出经济处于萧条状态.(3)向右平移10%后的总需求方程为:于是,由有:2023 + P = 2640 – PP=320 , =2320与(1)相比,新的均衡表现出经济处于高涨状态.(4)向左平移10%后的总供给方程为:于是,由有:1800 + P = 2400 – PP=300 , =2100与(1)相比,新的均衡表现出经济处于滞涨状态.(5)总供给曲线向右上方倾斜的直线,属于常规型.宏观经济学课后习题答案(四): 宏观经济学问题题号:11 题型:单选题(请在以下几个选项中选择唯一正确答案)本题分数:5内容:一般把经济周期分为四个阶段,这四个阶段为().选项:a、兴旺,停滞,萧条和复苏b、繁荣,停滞,萧条和恢复c、繁荣,衰退,萧条和复苏d、兴旺,衰退,萧条和恢复题号:12 题型:单选题(请在以下几个选项中选择唯一正确答案)本题分数:5内容:“面粉是中间产品”这一命题()选项:a、一定是对的b、一定是不对的c、可能是对的也可能是不对的d、以上三种说法全对.题号:13 题型:单选题(请在以下几个选项中选择唯一正确答案)本题分数:5内容:下列哪种情况下执行财政政策的效果较好(选项:a、LM陡峭而IS平缓b、LM平缓而IS陡峭c、LM和IS一样平缓d、LM和IS一样陡峭题号:14 题型:单选题(请在以下几个选项中选择唯一正确答案)本题分数:5内容:政府财政政策通过哪一个变量对国民收入产生影响().选项:a、进口b、消费支出c、出口d、政府购买.题号:15 题型:单选题(请在以下几个选项中选择唯一正确答案)本题分数:5内容:在国民收入核算体系中,计入GDP的政府支出是指().选项:a、政府购买物品的支出b、政府购买物品和劳务的支出c、政府购买物品和劳务的支出加上政府的转移支出之和d、政府工作人员的薪金和政府转移支出题号:16 题型:是非题本题分数:5内容:长期总供给曲线所表示的总产出是经济中的潜在产出水平选项:1、错2、对题号:17 题型:是非题本题分数:5内容:GDP中扣除资本折旧,就可以得到NNP选项:1、错2、对题号:18 题型:是非题本题分数:5内容:在长期总供给水平,由于生产要素等得到了充分利用,因此经济中不存在失业选项:1、错2、对题号:19 题型:是非题本题分数:5内容:个人收入即为个人可支配收入,是人们可随意用来消费或储蓄的收入选项:1、错2、对题号:20 题型:是非题本题分数:5内容:GNP折算指数是实际GDP与名义GDP的比率选项:1、错2、对C,C,A,D,B对,对(NNP国民生产净值),错(可能还有摩擦失业),错,错宏观经济学课后习题答案(五): 一道宏观经济学的习题,求答案及解析7、将一国经济中所有市场交易的货币价值进行加总a、会得到生产过程中所使用的全部资源的市场价值b、所获得的数值可能大于、小于或等于GDP的值c、会得到经济中的新增价值总和d、会得到国内生产总值`b 正确市场交易的可能有中间产品,如此中间产品加上最终产品,则重复计算的结果大于GDP;不在国内市场交易,出口销往国外的漏算,则计算结果会小于gdp;如果重复的和漏算的正好相等,则结果可能等于gdp。
腹有诗书气自华第4篇 经济周期理论:短期中的经济第9章 经济波动导论课后习题详解跨考网独家整理最全经济学考研真题,经济学考研课后习题解析资料库,您可以在这里查阅历年经济学考研真题,经济学考研课后习题,经济学考研参考书等内容,更有跨考考研历年辅导的经济学学哥学姐的经济学考研经验,从前辈中获得的经验对初学者来说是宝贵的财富,这或许能帮你少走弯路,躲开一些陷阱。
以下内容为跨考网独家整理,如您还需更多考研资料,可选择经济学一对一在线咨询进行咨询。
一、概念题1.奥肯定律(Okun ’s law )答:奥肯定律是表示失业率与实际国民收入增长率之间关系的经验统计规律,由美国经济学家奥肯在20世纪60年代初提出。
其主要内容是:失业率每高于自然失业率1个百分点,实际GDP 将低于潜在GDP 2个百分点。
奥肯定律的一个重要结论是:实际GDP 必须保持与潜在GDP 同样快的增长,以防止失业率的上升。
如果政府想让失业率下降,那么,该经济社会的实际GDP 的增长必须快于潜在GDP 的增长。
根据奥肯的研究,在美国,失业率每下降1%,实际国民收入增长2%。
但应该指出的是:①奥肯定律表明了失业率与实际国民收入增长率之间是反方向变动的关系;②两者的数量关系1∶2是一个平均数,在不同的时期,这一比率并不完全相同;③这一规律适用于经济没有实现充分就业时的情况。
在经济实现了充分就业时,这一规律所表示的自然失业率与实际国民收入增长率之间的关系要弱得多,一般估算是1∶0.76。
2.领先指标(leading indicators )答:领先指标是指一般先于整体经济变动的变量,可以帮助经济学家预测短期经济波动。
由于经济学家对前导指标可靠意见看法的不一致,导致经济学家给出不同的预测,其中就包括短期经济波动情况的预测。
领先指标的大幅度下降预示经济很可能会衰退,大幅度上升预示经济很可能会繁荣。
3.总需求(aggregate demand )答:总需求是指整个经济社会在任何一个给定的价格水平下对产品和劳务的需求总量。
宏观经济学原理(第七版)曼昆-名词解释(带英文)宏观经济学原理曼昆名词解释微观经济学(microeconomics),研究家庭和企业如何做出决策,以及它们如何在市场上相互影响。
宏观经济学(macroeconomics),研究整体经济现象,包括通货膨胀、失业和经济增长。
国内生产总值GDP(gross domestic product),在某一既定时期,一个国家内生产的所有最终物品与服务的市场价值。
消费(consumption),家庭除购买新住房之外,用于物品与服务的支出。
投资(investment),用于资本设备、存货和建筑物的支出,包括家庭用于购买新住房的支出。
政府购买(government purchase),地方、州和联邦政府用于物品与服务的支出。
净出口(net export),外国人对国内生产的物品的支出(出口),减国内居民对外国物品的支出(进口)。
生产。
真实GDP(real GDP),按不变价格评价的物品与服务的生产。
(总之,名义GDP是用当年价格来评价经济中物品与服务生产的价值,真实GDP是用不变的基年价格来评价经济中物品与服务生产的价值。
)GDP平减指数(GDP, deflator),用名义GDP与真实GDP的比率乘以100计算的物价水平衡量指标。
消费物价指数CPI(consumer price index),普通消费者所购买的物品与服务的总费用的衡量指标。
通货膨胀率(inflation rate),从前一个时期以来,物价指数变动的百分比。
生产物价指数(producer price index),企业所购买的一篮子物品运服务的费用的衡量指标。
指数化(indexation),根据法律或合同按照通货膨胀的影响,对货币数量的自动调整。
名义利率(nominal interest rate),通常公布的、未根据通货膨胀的影响,校正的利率。
真实利率(real interest rate),根据通货膨胀的影响校正过的利率。
第九章、IS-LM 模型的建立总需求模型称为IS —LM 模型(IS —LM model),这个模型的目的是说明在任何一种给定的价格水平下什么因素决定了国民收入。
第一节、产品市场与IS 曲线一、凯恩斯交叉凯恩斯交叉是基本的收入决定模型,该模型将财政政策和计划投资作为外生给定,并证明存在一种国民收入水平使得实际支出等于计划支出,还认为财政政策的变动对收入有乘数效应。
1、假设①经济封闭;②计划投资外生给定;③财政政策(政府购买、税收)固定;④经济在实际支出等于计划支出时实现平衡。
实际支出(actual expenditure)是家庭、企业和政府花在产品和服务上的数额,它总是等于整个经济的国内生产总值。
计划支出(planned expenditure)是家庭、企业和政府想花在产品和服务上的数额。
2、图示此时,有PE=C (Y-T(计划))+I(计划)+G(计划)二、处于均衡状态的经济1、财政政策与乘数:政府购买在任何一个给定的收入水平上,政府购买增加ΔG 使计划支出等量增加。
均衡从A 点移动到B 点,而且收入从Y1上升到Y2。
注意,收入的增加ΔY 大于政府购买的增加ΔG 。
因此,财政政策对收入有乘数效应。
2、财政政策与乘数:税收考虑税收变动如何影响均衡收入。
税收减少ΔT ,立即使可支配收入Y-T 增加了ΔT ,从而使消费增加了MPC ×ΔT 。
在任何一个给定的收入水平Y ,计划支出现在更高了。
正如政府购买的增加对收入有乘数效应一样,税收的减少也有乘数效应。
与以前一样,支出最初的变动现在是MPC ×ΔT ,再乘以1/(1-MPC)。
税收变动对收入的总效应是:ΔY/ΔT=-MPC/(1-MPC)3、利率、投资和IS 曲线图(a)表示投资函数:利率从r1上升到r2使计划投资从I(r1)减少到I(r2);图(b)表示凯恩斯交叉:计划投资从I(r1)减少到I(r2)使计划支出函数向下移动,从而使收入从Y1下降到Y2,利率的上升减少了收入; 图(c)表示总结了利率和收入之间的这种关系的IS 曲线:利率越高,收入水平越低。
第9章经济增长Ⅱ:技术、经验和政策9.1复习笔记【知识框架】【考点难点归纳】考点一:索洛模型中的技术进步★★★★★1.劳动效率假设技术进步是劳动效率型的,并设E为劳动效率,则生产函数变为:Y=F(K,L×E)。
其中,L×E衡量工人的有效数量。
这一模型化技术进步的方法的本质是,劳动效率E提高的作用与劳动力L的增加是类似的。
此外,假设劳动效率E以不变的外生速率g增长,即g =ΔE/E。
2.有技术进步的稳态设y=Y/(L×E),k=K/(L×E),对生产函数两边同除以L×E,可得单位效率工人产出函数,即y=f(k)。
该函数形式虽然与上一章完全相同,但是意义已经发生了改变。
因为单位效率工人的储蓄(投资)为:sy=sf(k),而单位效率工人的补偿投资(资本扩展化)为:(δ+n+g)k。
因此,当单位效率工人的储蓄和补偿投资相等时,即Δk=sf (k)-(δ+n+g)k=0,经济达到稳定状态。
如图9-1所示,k*表示稳态的资本存量,在这一水平,有效工人的人均资本和有效工人的人均产出保持不变。
图9-1技术进步和索洛模型3.技术进步的影响(见表9-1)表9-1技术进步的影响4.技术进步下的黄金律水平因为c*=y*-i*=f(k*)-(δ+n+g)k*,当c*达到最大化时,有:MPK=δ+n+g 或MPK-δ=n+g。
这说明,在黄金律资本水平,资本的边际产出减去折旧率等于人口增长率与技术进步的和。
由于现实经济既有人口增长,又有技术进步,所以,必须用这个标准来评价经济的资本存量与黄金律稳态水平的关系。
考点二:从增长理论到增长经验研究★1.平衡的增长平衡的增长是指技术进步引起许多变量在稳态的数值一起上升。
根据索洛模型,在稳态,人均产出Y/L和人均资本存量K/L以技术进步的速率g增长。
技术进步也影响要素价格。
在稳态,实际工资以技术进步的速率增长。
而资本的实际租赁价格随着时间的推移是不变的。
曼昆宏观经济经济学第九版英文原版答案完整版曼昆宏观经济经济学第九版英文原版答案集团标准化办公室:[VV986T-J682P28-JP266L8-68PNN]A n s w e r s t o T e x t b o o k Q u e s t i o n s a n d P r o b l e m sCHAPTER 7Unemployment and the Labor MarketQuestions for Review1. The rates of job separation and job finding determine the naturalrate of unemployment. The rate of job separation is the fraction of people who lose their job each month. The higher the rate of jobseparation, the higher the natural rate of unemployment. The rate of job finding is the fraction of unemployed people who find a job each month. The higher the rate of job finding, the lower the natural rate of unemployment.2. Frictional unemployment is the unemployment caused by the time ittakes to match workers and jobs. Finding an appropriate job takes time because the flow of information about job candidates and job vacancies is not instantaneous. Because different jobs requiredifferent skills and pay different wages, unemployed workers may not accept the first job offer they receive.In contrast, structural unemployment is the unemployment resulting from wage rigidity and job rationing. These workers are unemployed not because they are actively searching for a job that best suits their skills (as in the case of frictional unemployment), but because at the prevailing real wage thequantity of labor supplied exceeds the quantity of labor demanded. If the wage does not adjust to clear the labor market, then these workers must wait for jobs to become available. Structural unemployment thus arises because firms fail to reduce wages despite an excess supply of labor.3. The real wage may remain above the level that equilibrates laborsupply and labor demand because of minimum wage laws, the monopoly power of unions, and efficiency wages.Minimum-wage laws cause wage rigidity when they prevent wages from falling to equilibrium levels. Although most workers are paid a wage above the minimum level, for some workers, especially the unskilled and inexperienced, the minimum wage raises their wage above theequilibrium level. It therefore reduces the quantity of their labor that firms demand, and creates an excess supply of workers, which increases unemployment.The monopoly power of unions causes wage rigidity because the wages of unionized workers are determined not by the equilibrium of supply and demand but by collective bargaining between union leaders and firm management. The wage agreement often raises the wage abovethe equilibrium level and allows the firm to decide how many workers to employ. These high wages cause firms to hire fewer workers than at the market-clearing wage, so structural unemployment increases.Efficiency-wage theories suggest that high wages make workers more productive. The influence of wages on worker efficiency may explain why firms do not cut wages despite an excess supply of labor. Even though a wage reduction decreasesthe firm’s wage bill, it may also lower worker productivity and therefore the firm’s profits.4. Depending on how one looks at the data, most unemployment can appearto be either short term or long term. Most spells of unemployment are short; that is, most of those who became unemployed find jobs quickly.On the other hand, most weeks of unemployment are attributable to the small number of long-term unemployed. By definition, the long-term unemployed do not find jobs quickly, so they appear on unemployment rolls for many weeks or months.5. Europeans work fewer hours than Americans. One explanation is thatthe higher income tax rates in Europe reduce the incentive to work. A second explanation is a larger underground economy in Europe as aresult of more people attempting to evade the high tax rates.A third explanation is the greater importance of unions in Europe and their ability to bargain for reduced work hours. A final explanation isbased on preferences, whereby Europeans value leisure more thanAmericans do, and therefore elect to work fewer hours.Problems and Applications1. a. In the example that follows, we assume that during the school yearyou look for a part-time job, and that, on average, it takes 2 weeks to find one. We also assume that the typical job lasts 1semester, or 12 weeks.b. If it takes 2 weeks to find a job, then the rate of job finding in weeks isf = (1 job/2 weeks) = 0.5 jobs/week.If the job lasts for 12 weeks, then the rate of job separation in weeks iss = (1 job/12 weeks) = 0.083 jobs/week.c. From the text, we know that the formula for the natural rate of unemployment is(U/L) = [s/(s + f )],where U is the number of people unemployed, and L is the number of people in the labor force.Plugging in the values for f and s that were calculated in part (b), we find(U/L) = [0.083/(0.083 + 0.5)] = 0.14.Thus, if on average it takes 2 weeks to find a job that lasts 12 weeks, the natural rate of unemployment for this population ofcollege students seeking part-time employment is 14 percent.2. Call the number of residents of the dorm who are involved I, thenumber who are uninvolved U, and the total number of students T = I + U. In steady state the total number of involved students is constant.For this to happen we need the number of newly uninvolved students,(0.10)I, to be equal to the number of students who just becameinvolved, (0.05)U. Following a few substitutions:(0.05)U = (0.10)I= (0.10)(T – U),soWe find that two-thirds of the students are uninvolved.3. To show that the unemployment rate evolves over time to thesteady-state rate, let’s begin by defining how the number of people unemployed changes over time. The change in the number of unemployed equals the number of people losing jobs (sE) minus the number finding jobs (fU). In equation form, we can express this as:U–U t= ΔU t + 1 = sE t–fU t.t + 1Recall from the text that L = E t + U t, or E t = L –U t, where L is the total labor force (we will assume that L is constant). Substituting for E t in the above equation, we findΔU t + 1 = s(L –U t) –fU t.Dividing by L, we get an expression for the change in the unemployment rate from t to t + 1:ΔU t + 1/L = (U t + 1/L) –(U t/L) = Δ[U/L]t + 1 = s(1 –U t/L) –fU t/L.Rearranging terms on the right side of the equation above, we end up with line 1 below. Now take line 1 below, multiply the right side by (s + f)/(s + f) and rearrange terms to end up with line 2 below:Δ[U/L]t + 1= s – (s + f)U t/L= (s + f)[s/(s + f) – U/L].tThe first point to note about this equation is that in steady state, when the unemployment rate equals its natural rate, the left-handside of this expression equals zero. This tells us that, as we found in the text, the natural rate of unemployment (U/L)n equals s/(s + f).We can now rewrite the above expression, substituting (U/L)n for s/(s + f), to get an equation that is easier to interpret: Δ[U/L]t + 1 = (s + f)[(U/L)n–U t/L].This expression shows the following:If U t/L > (U/L)n (that is, the unemployment rate is above its natural rate), then Δ[U/L]t + 1 is negative: the unemployment rate falls.If U t/L < (U/L)n (that is, the unemployment rate is below its natural rate), then Δ[U/L]t + 1 is positive: the unemployment raterises.This process continues until the unemployment rate U/L reaches the steady-state rate (U/L)n.4. Consider the formula for the natural rate of unemployment,If the new law lowers the chance of separation s, but has no effect on the rate of job finding f, then the natural rate of unemployment falls.For several reasons, however, the new law might tend to reduce f.First, raising the cost of firing might make firms more careful about hiring workers, since firms have a harder time firing workers who turn out to be a poor match. Second, if job searchers think that the new legislation will lead them to spend a longer period of time on a particular job, then they might weigh morecarefully whether or not to take that job. If the reduction in f is large enough, then the new policy may even increase the natural rate of unemployment.5. a. The demand for labor is determined by the amount of labor that aprofit-maximizing firm wants to hire at a given real wage. The profit-maximizing condition is that the firm hire labor until the marginal product of labor equals the real wage,The marginal product of labor is found by differentiating the production function with respect to labor (see Chapter 3 for more discussion),In order to solve for labor demand, we set the MPL equal to the real wage and solve for L:Notice that this expression has the intuitively desirable feature that increases in the real wage reduce the demand for labor.b. We assume that the 27,000 units of capital and the 1,000 units oflabor are supplied inelastically (i.e., they will work at anyprice). In this case we know that all 1,000 units of labor and 27,000 units of capital will be used in equilibrium, so we can substitute these values into the above labor demand function and.solve for WPIn equilibrium, employment will be 1,000, and multiplying this by10 we find that the workers earn 10,000 units of output. The totaloutput is given by the production function:Y=5Y13Y23Y=5(27,00013)(1,00023)Y=15,000.Notice that workers get two-thirds of output, which is consistent with what we know about the Cobb–Douglas production function from Chapter 3.c. The real wage is now equal to 11 (10% above the equilibrium levelof 10).Firms will use their labor demand function to decide how manyworkers to hire at the given real wage of 11 and capital stock of 27,000:So 751 workers will be hired for a total compensation of 8,261units of output. To find the new level of output, plug the new value for labor and the value for capital into the production function and you will find Y = 12,393.d. The policy redistributes output from the 249 workers who becomeinvoluntarily unemployed to the 751 workers who get paid more than before. The lucky workers benefit less than the losers lose as the total compensation to the working class falls from 10,000 to 8,261 units of output.e. This problem does focus on the analysis of two effects of theminimum-wage laws: they raise the wage for some workers whiledownward-sloping labor demand reduces the total numberof jobs.Note, however, that if labor demand is less elastic than in this example, then the loss of employment may be smaller, and thechange in worker income might be positive.6. a. The labor demand curve is given by the marginal product of laborschedule faced by firms. If a country experiences a reduction inproductivity, then the labor demand curve shifts to the left as in Figure 7-1. If labor becomes less productive, then at any givenreal wage, firms demand less labor.b. If the labor market is always in equilibrium, then, assuming afixed labor supply, an adverse productivity shock causes adecrease in the real wage but has no effect on employment orunemployment, as in Figure 7-2.c. If unions constrain real wages to remain unaltered, then asillustrated in Figure 7-3, employmentfalls to L1 and unemployment equals L –L1.This example shows that the effect of a productivity shock on aneconomy depends on the role of unions and the response of collective bargaining to such a change.7. a. If workers are free to move between sectors, then the wage in each sector will be equal. If thewages were not equal then workers would have an incentive to move to the sector with the higherwage and this would cause the higher wage to fall, and the lower wage to rise until they wereequal.b. Since there are 100 workers in total, L S = 100 – L M. We cansubstitute this expression into the labor demand for services equation, and call the wage w since it is the same in bothsectors:L S = 100 – LM= 100 – 4wLM= 4w.Now set this equal to the labor demand for manufacturing equation and solve for w:4w = 200 – 6ww = $20.Substitute the wage into the two labor demand equations to find L M is 80 and L S is 20.c. If the wage in manufacturing is equal to $25 then L M is equal to 50.d. There are now 50 workers employed in the service sector and the wage w S is equal to $12.50.e. The wage in manufacturing will remain at $25 and employment will remain at 50. If thereservation wage for the service sector is $15 then employment in the service sector will be 40. Therefore, 10 people are unemployed and the unemployment rate is 10 percent.8. Real wages have risen over time in both the United Statesand Europe,increasing the reward for working (the substitution effect) but also making people richer, so they want to “buy” more leisure (theincome effect). If the income effect dominates, then people want to work less as real wages go up. This could explain the Europeanexperience, in which hours worked per employed person have fallen over time. If the income and substitution effects approximatelycancel, then this could explain the U.S. experience, in which hours worked per person have stayed about constant. Economists do not have good theories for why tastes might differ, so they disagree onwhether it is reasonable to think that Europeans have a larger income effect than do Americans.9. The vacant office space problem is similar to the unemploymentproblem; we can apply the same concepts we used in analyzingunemployed labor to analyze why vacant office space exists. There isa rate of office separation: firms that occupy offices leave, eitherto move to different offices or because they go out of business.There is a rate of office finding: firms that need office space (either to start up or expand) find empty offices. It takes time to match firms with available space. Different types of firms require spaces with different attributes depending on what theirspecific needs are. Also, because demand for different goods fluctuates, there are “sectoral shifts”—changes in the composition of demand among industries and regions that affect the profitability and office needs of different firms.。