(整理)布兰查德《宏观经济学》第五版课后题答案
宏观经济学第五版课后习题答案高鸿业版44页word
第十二章国民收入核算1.宏观经济学和微观经济学有什么联系和区别?为什么有些经济活动从微观看是合理的,有效的,而从宏观看却是不合理的,无效的?解答:两者之间的区别在于:(1)研究的对象不同。
微观经济学研究组成整体经济的单个经济主体的最优化行为,而宏观经济学研究一国整体经济的运行规律和宏观经济政策。
(2)解决的问题不同。
微观经济学要解决资源配置问题,而宏观经济学要解决资源利用问题。
(3)中心理论不同。
微观经济学的中心理论是价格理论,所有的分析都是围绕价格机制的运行展开的,而宏观经济学的中心理论是国民收入(产出)理论,所有的分析都是围绕国民收入(产出)的决定展开的。
(4)研究方法不同。
微观经济学采用的是个量分析方法,而宏观经济学采用的是总量分析方法。
两者之间的联系主要表现在:(1)相互补充。
经济学研究的目的是实现社会经济福利的最大化。
为此,既要实现资源的最优配置,又要实现资源的充分利用。
微观经济学是在假设资源得到充分利用的前提下研究资源如何实现最优配置的问题,而宏观经济学是在假设资源已经实现最优配置的前提下研究如何充分利用这些资源。
它们共同构成经济学的基本框架。
(2)微观经济学和宏观经济学都以实证分析作为主要的分析和研究方法。
(3)微观经济学是宏观经济学的基础。
当代宏观经济学越来越重视微观基础的研究,即将宏观经济分析建立在微观经济主体行为分析的基础上。
由于微观经济学和宏观经济学分析问题的角度不同,分析方法也不同,因此有些经济活动从微观看是合理的、有效的,而从宏观看是不合理的、无效的。
例如,在经济生活中,某个厂商降低工资,从该企业的角度看,成本低了,市场竞争力强了,但是如果所有厂商都降低工资,则上面降低工资的那个厂商的竞争力就不会增强,而且职工整体工资收入降低以后,整个社会的消费以及有效需求也会降低。
同样,一个人或者一个家庭实行节约,可以增加家庭财富,但是如果大家都节约,社会需求就会降低,生产和就业就会受到影响。
宏观经济学第五版课后习题答案1217章(高鸿业版)
第十二章国民收入核算1.宏观经济学和微观经济学有什么联系和区别?为什么有些经济活动从微观看是合理的,有效的,而从宏观看却是不合理的,无效的?解答:两者之间的区别在于:(1)研究的对象不同。
微观经济学研究组成整体经济的单个经济主体的最优化行为,而宏观经济学研究一国整体经济的运行规律和宏观经济政策。
(2)解决的问题不同。
微观经济学要解决资源配置问题,而宏观经济学要解决资源利用问题。
(3)中心理论不同。
微观经济学的中心理论是价格理论,所有的分析都是围绕价格机制的运行展开的,而宏观经济学的中心理论是国民收入(产出)理论,所有的分析都是围绕国民收入(产出)的决定展开的。
(4)研究方法不同。
微观经济学采用的是个量分析方法,而宏观经济学采用的是总量分析方法。
两者之间的联系主要表现在:(1)相互补充。
经济学研究的目的是实现社会经济福利的最大化。
为此,既要实现资源的最优配置,又要实现资源的充分利用。
微观经济学是在假设资源得到充分利用的前提下研究资源如何实现最优配置的问题,而宏观经济学是在假设资源已经实现最优配置的前提下研究如何充分利用这些资源。
它们共同构成经济学的基本框架。
(2)微观经济学和宏观经济学都以实证分析作为主要的分析和研究方法。
(3)微观经济学是宏观经济学的基础。
当代宏观经济学越来越重视微观基础的研究,即将宏观经济分析建立在微观经济主体行为分析的基础上。
由于微观经济学和宏观经济学分析问题的角度不同,分析方法也不同,因此有些经济活动从微观看是合理的、有效的,而从宏观看是不合理的、无效的。
例如,在经济生活中,某个厂商降低工资,从该企业的角度看,成本低了,市场竞争力强了,但是如果所有厂商都降低工资,则上面降低工资的那个厂商的竞争力就不会增强,而且职工整体工资收入降低以后,整个社会的消费以及有效需求也会降低。
同样,一个人或者一个家庭实行节约,可以增加家庭财富,但是如果大家都节约,社会需求就会降低,生产和就业就会受到影响。
14章宏观经济学课后习题(第五版)答案PPT演示课件
13
10.假定每年的通胀率是4%,上题中回收的资金以当时 的名义美元计算,这此项目仍值得投资么?
解:由于年通胀率是4%,实际利率是3%
所以 名义利率: 3%+4%=7%
三个项目的现值分别为
120 104.8 1.072
、102.0
和99.1万美元。所以,第一、二个项目现值大
于100,值章课后习题及答案
1
1、自发投资支出增加10亿美元,会使IS:
A. 右移10亿美元; B. 左移10亿美元; C. 右移支出乘数乘以10亿美元; D. 左移支出乘数乘以10亿美元。 本题考察IS曲线移动。e增加10亿美元,y增加e/(1-β)
y e dr - dr e 1 1 1
A. 右移10亿美元; B. 右移k乘以10亿美元; C. 右移10亿美元除以k; D. 右移k除以10亿美元。
y mhr kk
本题考察LM曲线移动。货币供给增加,LM曲线右 移,货币供给减少,LM曲线左移。
6
5、利率和收入的组合点出现在IS曲线右上方, LM曲线的左上方的区域中,则表示:
A. 投资小于储蓄且货币需求小于货币供给; B. 投资小于储蓄且货币供给小于货币需求; C. 投资大于储蓄且货币需求小于货币供给; D. 投资小于储蓄且货币需求大于货币供给。
1
1
1
3
r
IS1
IS0
IS2
r0
E2 E
紧缩性财 政政策
财政政策图解
LM
E1 扩张性财
政政策
O
y2 y0
y1
y
y0y2=kt·Δ t y0y1=kg·Δ g
4
3、假定货币供给量和价格水平不变,货币需求 为收入和利率的函数,则收入增加时:
宏观经济学第五版课后习题答案完整版
第十二章国民收入核算1.宏观经济学和微观经济学有什么联系和区别?为什么有些经济活动从微观看是合理的,有效的,而从宏观看却是不合理的,无效的?解答:两者之间的区别在于:(1)研究的对象不同。
微观经济学研究组成整体经济的单个经济主体的最优化行为,而宏观经济学研究一国整体经济的运行规律和宏观经济政策。
(2)解决的问题不同。
微观经济学要解决资源配置问题,而宏观经济学要解决资源利用问题。
(3)中心理论不同。
微观经济学的中心理论是价格理论,所有的分析都是围绕价格机制的运行展开的,而宏观经济学的中心理论是国民收入(产出)理论,所有的分析都是围绕国民收入(产出)的决定展开的。
(4)研究方法不同。
微观经济学采用的是个量分析方法,而宏观经济学采用的是总量分析方法。
两者之间的联系主要表现在:(1)相互补充。
经济学研究的目的是实现社会经济福利的最大化。
为此,既要实现资源的最优配置,又要实现资源的充分利用。
微观经济学是在假设资源得到充分利用的前提下研究资源如何实现最优配置的问题,而宏观经济学是在假设资源已经实现最优配置的前提下研究如何充分利用这些资源。
它们共同构成经济学的基本框架。
(2)微观经济学和宏观经济学都以实证分析作为主要的分析和研究方法。
(3)微观经济学是宏观经济学的基础。
当代宏观经济学越来越重视微观基础的研究,即将宏观经济分析建立在微观经济主体行为分析的基础上。
由于微观经济学和宏观经济学分析问题的角度不同,分析方法也不同,因此有些经济活动从微观看是合理的、有效的,而从宏观看是不合理的、无效的。
例如,在经济生活中,某个厂商降低工资,从该企业的角度看,成本低了,市场竞争力强了,但是如果所有厂商都降低工资,则上面降低工资的那个厂商的竞争力就不会增强,而且职工整体工资收入降低以后,整个社会的消费以及有效需求也会降低。
同样,一个人或者一个家庭实行节约,可以增加家庭财富,但是如果大家都节约,社会需求就会降低,生产和就业就会受到影响。
宏观经济学第五版课后习题答案12-17章(高鸿业版)-推荐下载
15章宏观经济学课后习题(第五版)答案
(1)试求图(a)和图(b)中的均衡收入和利率。
(2)若货币供给增加20亿美元,即从150亿美元增加到 170亿美元,货币需求不变,据此再做一条曲线,并求图(a) 和(b)中IS曲线与这条曲线相交所得均衡收入和利率。 (3)说明那一个图形中均衡收入变动更多些,利率下降
更多些,为什么?
9.解答: (1)LM曲线为y=750亿美元 + 20r。 当IS曲线为y=1250亿美元 – 30r时,均衡收入 和利率得: 750+20r=1100–15r 解得:r = 10 , y =950; 当IS曲线为y=1100亿美元 – 15r时, 均衡收入 和利率得: 750+20r=1100–15r , 解得:r = 10 , y =950.
(1)公共支出的挤出效应必须根据具体情况具体分析。一 般来说,只有达到充分就业后才会存在挤出效应。在 有效需求不足的条件下,不存在萧条时期公共支出排 挤私人投资的问题。 (2)影响私人投资的,除了利息率水平,还有预期利润率 因素。如果增加公共支出能提高预期利润率,那么公 共支出对私人投资不是“挤出”而是“挤入”。另外, 即使公共支出影响利润率水平,但由于私人投资者对 预期利润率变动的敏感程度大于对利息率变动的敏感 程度,所以公共支出也不可能“挤出”相等的私人投 资。因此,增加公共支出仍然能使总需求增加。
投资 i=150(美元)
8.解答: 当政府支出增加到120美元时, y=60+0.8(y-100) +150+120 整理得新的IS曲线为:y=1250(美元) ——垂直 LM曲线为:y=1000+50r(没变)
y 1250 (美元) y 1250 解: 得均衡 y 1000 50r r 5(% )
《宏观经济学》课后答案(布兰查德版)
Chapter 11. a.True. b.True. c.False. d.True. e.False. f.False.2. a. 1960-98 1997-99-------------------US 3.1% 3.8%EU 3.1% 2.5%Japan 5.8%-1.0%While the US growth rate higher than its long-run average over the period, the growth rate has slowed relative to long-run averages in both the EU and Japan over the last few years.b. Sometimes the economy is growing quickly, other times it is growing slowly or even contracting. The last few years of rapid growth in the US do not imply that the long-run average rate of growth has increased back to its pre-1974 level.3. a. The data in the web page are: Real Gross Domestic Product,Real Final Sales of Domestic Product, and Real Gross National Product, Quarterly, 1959-96[Percent change from preceding quarter]--------------------------------------------------------Gross Final sales Grossdomestic of domestic nationalproduct product product-------------------------------------------------------1959: I 8.6 9.2 8.6II11.27.311.1III-0.3 5.3-0.2IV 1.7-1.3 1.91996: I 1.8 2.6 1.8II 6.0 5.2 5.7III 1.00.20.6IV 4.3 4.5 4.9--------------------------------------------------------suggesting that recessions typically last two-three quarters and that the most severe recessions in that period were the recessions of 1974-75 and 1981-82.b. Percentage Changes in:Output GrowthInflation1968: 4.7 4.4I7.5 4.7II7.1 4.1III 3.0 3.8IV 1.8 5.51969: 3.0 4.7I 6.2 3.8II 1.0 5.0III 2.3 5.8IV-2.0 5.11970: 0.1 5.3I-0.7 6.0II0.6 5.7III 3.7 3.4IV-3.9 5.41971: 3.3 5.2I11.3 6.4II 2.3 5.5III 2.6 4.4IV 1.1 3.3If history simply repeats itself, the United States might have a short recession (lasting perhaps oneyear) accompanied by an acceleration in the rate of inflation by about one percentage point.4. a. Banking services, business services.b. Not only has the relative demand for skilled workers increased but the industries wherethis effect is the strongest are making up a greater fraction of the economy.5. 1. Low unemployment might lead to an increase in inflation.2. Although measurement error certainly contributes to the measured slowdown ingrowth, there are other issues to consider as well, including the productivity of newresearch and accumulation of new capital.3. Although labor market rigidities may be important, it is also important to consider thatthese rigidities may not be excessive, and that high unemployment may arise from flawed macroeconomic policies.4. Although there were serious problems with regard to the management of Asian financial systems, it is important to consider the possibility that the flight of foreign capital from thesecountries worsened the situation by causing a severe stock market crash and exchange rate depreciation.5. Although the Euro will remove obstacles to free trade between European countries,each country will be forced to give up its own monetary policy.* 6. a. From Chapter 1: US output 1997=$8b; Ch ina output 1996=$.84b. Note that China’s outputin 1997 is $(.84)*(1.09) b. Equating output for some time t in the future:8*(1.03)t=(.84*1.09)*(1.09)t8/(.84*1.09)=(1.09/1.03)t8.737=(1.058)tt =ln(8.737)/ln(1.058) H38yrsb. From Chapter 1: US output/worker in 1997=$29,800; China output/per worker in1996=$70029.8*(1.03)t=(.7*1.09)*(1.09)tt H65 yearsChapter 21. a. False.b. Uncertain: real or nominalGDP. c. True.d. True.e. False. The level of the CPI means nothing. Its rate of change tells us about inflation.f. Uncertain. Which index is better depends on what we are trying to measure—inflationfacedby consumers or by the economy as a whole.2. a. +$100; Personal ConsumptionExpenditures b. nochange:intermediategoodc. +$200 million; Gross PrivateDomesticFixedInvestmentd. +$200 million; Net Exportse. no change: the jet was already counted when it was produced, i.e., presumably whenDelta(or some other airline) bought it new as an investment.*3. a. Measured GDP increases by $10+$12=$22.b. True GDP should increase by much less than $22 because by working for an extra hour,you are no longer producing the work of cooking within the house. Since cooking within the house is a final service, it should count as part of GDP. Unfortunately, it is hard to measure the value of work within the home, which is why measured GDP does not include it.4. a. $1,000,000 the value of the silver necklaces.b. 1st Stage:$300,000.2ndStage:$1,000,00-$300,000=$700,000.GDP: $300,000+$700,000=$1,000,000.c. Wages: $200,000 + $250,000=$450,000.Profits: ($300,000-$200,000)+($1,000,000-$250,000-300,000)=$100,000+$450,000=$550,000.GDP:$450,000+$550,000=$1,000,000.5. a. 1998 GDP: 10*$2,000+4*$1,000+1000*$1=$25,0001999 GDP: 12*$3,000+6*$500+1000*$1=$40,000Nominal GDP has increased by 60%.b. 1998 real (1998) GDP: $25,0001999 real (1998) GDP: 12*$2,000+6*$1,000+1000*$1=$31,000Real (1998) GDP has increased by 24%.c. 1998 real (1999) GDP: 10*$3,000+4*$500+1,000*$1=$33,0001999 real (1999) GDP: $40,000.Real (1999) GDP has increased by 21.2%.d. True.6. a. 1998 base year:Deflator(1998)=1; Deflator(1999)=$40,000/$31,000=1.29Inflation=29%b. 1999 base year:Deflator(1998)=$25,000/$33,000=0.76; Deflator(1999)=1Inflation=(1-0.76)/0.76=.32=32% c. Yes7. a. 1998 real GDP = 10*$2,500 + 4*$750 + 1000*$1 = $29,0001999 real GDP = 12*$2,500 + 6*$750 + 1000*$1 = $35,500b. (35,500-29,000)/29,000 = .224 = 22.4%c. Deflator in 1998=$25,000/$29,000=.86Deflator in 1999=$40,000/$35,500=1.13Inflation = (1.13 -.86)/.86 = .314 = 31.4%.8. a. The quality of a routine checkup improves over time. Checkups now may includeEKGs, for example. Medical services are particularly affected by this problem due toconstant improvements in medical technology.b. You need to know how the market values pregnancy checkups with and withoutultra-sounds in that year.c. This information is not available since all doctors adopted the new technologysimultaneously. Still, you can tell that the quality adjusted increase will be lower than20%.*9. a. approximately 2.5% b. 1992 real GDP growth: 2.7%;unemployment rate Jan 92: 7.3%; unemployment rate Jan 93: 7.3%Supports Okun's law because the unemployment rate does not change when the growth rate of real GDP is near 2.5% c. -2 percentage points change in the unemployment rate; 5percent GDP growth d. The growth rate of GDP must increase by 2.5 percentage points.Chapter 31. a. True.b. False. Government spending was 18% if GDP without transfers.c. False. The propensity to consume must be less than one for our model to be welldefined.d.True.false.f. False. The increase in output is one times the multiplier.2. a. Y=160+0.6*(Y-100)+150+150 0.4Y=460-60 Y=1000b. Y D=Y-T=1000-100=900c. C=160+0.6*(900)=7003. a. No. The goods market is not in equilibrium. Frompart 2a, Demand=1000=C+I+G=700+150+150b. Yes. The goods market is in equilibrium.c. No. Private saving=Y-C-T=200. Public saving =T-G=-50. National saving (or inshort, saving) equals private plus public saving, or 150. National saving equalsinvestment.4. a. Roughly consistent. C/Y=700/1000=70%; I/Y=G/Y=150/1000=15%.b. Approximately -2%.c. Y needs to fall by 2%, or from 1000 to 980. The parameter c0needs to fall by20/multiplier,or by 20*(.4)=8. So c0needs to fall from 160 to 152.d. The change in c0(-8) is less than the change in GDP (-20) due to the multiplier.5. a. Y increases by 1/(1-c1) b. Y decreases by c1/(1- c1)c. The answers differ because spending affects demand directly, but taxes affectdemand through consumption, and the propensity to consume is less than one.d. The change in Y equals 1/(1-c1) - c1/(1- c1) = 1. Balanced budget changes in G and Tare not macroeconomically neutral.e. The propensity to consume has no effect because the balanced budget tax increase abortsthe multiplier process. Y and T both increase by on unit, so disposable income, and hence consumption, do not change.*6. a. The tax rate ilessthanone.b.Y=c0+c1Y D+I+G impliesY=[1/(1-c1+c1t1)]*[c0-c1t0+I+G]c. The multiplier = 1/(1-c1+c1t1) <1/(1- c1), so the economy responds less to changes inautonomous spending when t1is positive.d. Because of the automatic effect of taxes on the economy, the economy responds less tochanges in autonomous spending than in the case where taxes are independent of income. So output tends to vary less, and fiscal policy is called an automatic stabilizer.*7. a. Y=[1/(1-c1+c1t1)]*[c0-c1t0+I+G] b. T = c1t0+ t1*[1/(1-c1+c1t1)]*[c0-c1t0+I+G]c. Both Y and T decrease.d. If G is cut, Y decreases even more.Chapter 41.a.True.b.Fals.c.True.d.True.e.False.f.False.g.True.2. a. i=0.05: Money demand = $18,000; Bond demand = $32,000i=.1: Money demand = $15,000; Bond demand = $35,000b. Money demand decreases when the interest rate increases; bond demand increases. Thisis consistent with the text.c. The demand for money falls by 50%. d. The demand formoney falls by 50%.e. A 1% increase (decrease) in income leads to a 1% increase (decrease) in money demand.This effect is independent of the interest rate.3. a. i=100/$P B–1; i=33%; 18%; 5% when $P B=$75; $85; $95.b. Negative.c. $P B=100/(1.08) $934. a. $20=M D=$100*(.25-i) i=5%b. M=$100*(.25-.15)M=$105. a. B D= 50,000 - 60,000 (.35-i)An increase in the interest rate of 10% increases bond demand $6,000.b. An increase in wealth increases bond demand, but has no effect on money demand.c. An increase in income increases money demand, but decreases bond demand.d. When people earn more income, this does not change their wealth right away. Thus,they increase their demand for money and decrease their demand for bonds.6. a. Demand for high-powered money=0.1*$Y*(.8-4i)b. $100 b = 0.1*$5,000b*(.8-4i) i=15%c. M=(1/.1)*$100 b=$1,000 b M= M d at the interest derived in part b.6. d. If H increases to $300, falls to 5%.e. M=(1/.1)*$300 b=$3,000 b7. a. $16 is withdrawn on each trip to the bank.Money holdings—day one: $16; day two: $12; day three: $8; day four: $4.b. Average money holdings are $10.c. $8 dollar withdrawals; money holdings of $8; $4; $8; $4.d. Average money holdings are $6.e. $16 dollar withdrawals; money holdings of $0; $0; $0; $16.f. Average money holdings are $4.g. Based on these answers, ATMs and credit cards have reduced money demand.8. a. velocity=1/(M/$Y)=1/L(i)b. Velocity roughly doubled between the mid 1960s and the mid 1990s.c. ATMS and credit cards reduced L(i) so velocity increased.Chapter 51.a.Trub.Truc.Fal.d. False. The balanced budget multiplier is positive (it equals one), so the IS curve shiftsright.e. False.f. Uncertain. An increase in G leads to an increase in Y (which tends to increaseinvestment), but an increase in the interest rate (which tends to reduce investment).g. True.*2. Firms deciding how to use their own funds will compare the return on bonds to the return on investment. When the interest rate on bonds increases, they become more attractive, and firms are more likely to use their funds to purchase bonds, rather than to finance investment projects.a.Y=[1/(1-c1)]*[c0-c1T+I+G]The multiplier is 1/(1-c1).b. Y=[1/(1-c1-b1)]*[c0-c1T+ b0-b2i +G]The multiplier is 1/(1-c1-b1). Since the multiplier is larger than the multiplier in part a, the effect of a change in autonomous spending is bigger than in part a.c. Substituting for the interest rate in the answer to partb: Y=[1/(1-c1-b1+ b2d1/d2)]*[c0-c1T+ b0+(b2*M/P)/d2+G]The multiplier is 1/(1-c1-b1+ b2d1/d2).d. The multiplier is greater (less) than the multiplier in part a if (b1- b2d1/d2) is greater (less)than zero. The multiplier is big if b1is big, b2is small, d1is small, and/or d2is big, i.e., if investment is very sensitive to Y, investment is not very sensitive to i, money demand is not very sensitive to Y, money demand is very sensitive to i.4. a. The IS curve shifts left. Output and the interest rate fall. The effect on investmentis ambiguous because the output and interest rate effects work in opposite directions: the fall in output tends to reduce investment, but the fall in the interest rate tends to increase it.b. From 3c: Y=[1/(1-c1-b1)]*[c0-c1T+ b0-b2i +G]c. From the LM relation: i= Y*d1/d2–(M/P)/d2To obtain the equilibrium interest rate, substitute for Y from part b.d. I= b0+ b1Y- b2i= b0+ b1Y- b2Y* d1/d2+ b2(M/P)/d2To obtain equilibrium investment, substitute for Y from part b.e. Holding M/P constant, I increases with equilibrium output when b1>b2d1/d2.Since a decrease in G reduces output, the condition under which a decrease in G increases investment is b1<b2d1/d2.f. The interpretation of the condition in part e is that the effect on I from Y has to be lessthan the effect from i after controlling for the endogenous response of i and Y, determined by the slope of the LM curve, d1/d2.5. a. Y=C+I+G=200+.25*(Y-200)+150+.25Y-1000i+250Y=1100-2000ib.M/P=1600=2Y-8000i i=Y/4000-1/5c. Substituting b into a: Y=1000d. Substituting c into b: i=1/20=5%e. C=400; I=350; G=250; C+I+G=1000f. Y=1040; i=3%; C=410; I=380. A monetary expansion reduces the interest rate andincreases output. The increase in output increases consumption. The increase in output and the fall in the interest rate increase investment.g. Y=1200; i=10%; C=450; I=350. A fiscal expansion increases output and the interestrate. The increase in output increases consumption.h. The condition from problem 3 is satisfied with equality (.25=1000*(2/8000)), socontractionary fiscal policy will have no effect on investment. When G=100: i=0%;Y=800; I=350; and C=350.*6. a. The LM curve is flatb. Japan was experiencing a liquidity trap. c. Fiscal policy is more effective.7. a. Increase G (or reduce T) and increase M.b. Reduce G (or increase T) and increase M. The interest rate falls. Investment increases,since the interest rate falls while output remains constant.CHAPTER 61.a.Fals.b.Fals.c.Falsd.False.Truf.Falsg.Uncertaih.True.i. False.2. a. (Monthly hires+monthly separations)/monthly employment =6/93.8=6.4%b. 1.6/6.5=25%c. 2.4/6.5=37%. Duration is 1/.37 or 2.7 months.d. 4.9/57.3=9%.e. new workers: .35/4.9=7%; retirees: .2/4.9=4%.3. a and b. Answers will depend on when the page is accessed.c. The decline in unemployment does not equal the increase in employment, because thelabor force is not constant. It has increased over the period.4. a. 66%; 66%*66%*66%= 29%; (66%)6= 8%b. (66%)6= 8%c. (for 1998): 875/6210= .145. a. Answers will vary.b and c. Most likely, the job you will have ten years later will pay a lot more thanyour reservation wage at the time (relative to your typical first job).d. The later job is more likely to require training and will probably be a much harderjob to monitor. So, as efficiency wage theory suggests, your employer will be willing to pay a lot more than your reservation wage for the later job, to ensure low turnover and low shirking.6. a. The computer network administrator has more bargaining power. She is muchharder to replace.6. b. The rate of unemployment is a key statistic. For example, when there are manyunemployed workers it becomes easier for firms to find replacements. This reduces the bargaining power of workers.7. a. W/P=1/(1+ )=1/1.05=.95 b. Price setting: u=1-W/P=5%c. W/P=1/1.1=.91; u=1-.91=9%. The increase in the markup lowers the real wage.From the wage-setting equation, the unemployment rate must rise for the real wage to fall.So the natural rate increases.CHAPTER 71.a.Trub.Trc.Falsd.Fale.Truf.Falg.Fal2. a. IS right, AD right, AS up, LM up, Y same, i up, P upb. IS left, AD left, AS down, LM down, Y same, i down, P down3. a.WS PS AS AD LM IS Y i PShort run:up same up same up same down up upMedium run:up same up same up same down up upb.WS PS AS AD LM IS Y i PShort run:same up down same down same up down downMedium run:same up down same down same up down down4. a. After an increase in the level of the money supply, output and the interest-rate eventually return to the same level. However, monetary policy is useful, because it can accelerate the return to the natural level of output.b. In the medium run, investment and the interest rate both change with fiscal policy.c. False. Labor market policies, such as unemployment insurance, can affect the naturallevel of output.*5. a. Open answer. Firms may be so pessimistic about sales that they do not want to borrow at any interest rate.b. The IS curve is vertical; the interest rate does not affect equilibrium output.c. No change.d. The AD curve is vertical; the price level does not affect equilibrium output.e. The increase in z reduces the natural level of output and shifts the AS curve up. SincetheAD curve is vertical, output does not change, but prices increase. Note that output is above its natural level.f. The AS curve shifts up forever, and prices keep increasing forever. Output does notchange, and remains above its natural level forever.6. a. The natural level of output is Y n. Assuming that output starts at is naturallevel, P0= M0- (1/c)*Y nb. Assuming that P e=P0: Y = 2cM0-cP=2cM0-cP0-cdY+cdY nRecalling that Y n=c(M0-P0): Y= Y n+ (c/(1+c d))*M0c. Investment goes up because output is higher and the interest rate is lower.d. In the medium run, Y = Y ne. In the medium run, investment returns to its previous level, because output and the interestrate return to their previous levels.CHAPTER 81.a.Trb.Fac.Fad.Tre.Faf.Tr2. a. No. In the 1970s, we experienced high inflation and high unemployment. The expectations- augmented Phillips curve is a relationship between inflation and unemployment conditional on the natural rate and inflation expectations. Given inflation expectations,increases in the natural rate (which result from adverse shocks to labor market institutions—increases in z—or from increases in the markup—which encompass oil shocks) lead to an increase in both theunemployment rate and the inflation rate. In addition, increases in inflation expectations imply higher inflation for any level of unemployment and tend to increase the unemployment rate inthe short run (think of an increase in the expected price level, given last period’s price,in the AD-AS framework). In the 1970s, both the natural rate and expected inflation increased, so both unemployment and inflation were relatively high.b. No. The expectations-augmented Phillips curve implies that maintaining a rate ofunemployment below the natural rate requires increasing (not simply high) inflation. This is because inflation expectations continue to adjust to actual inflation.3. a. u n=0.1/2 =5%b. t=0.1-2*.03 = 4% every year beginning with year t.c. e= 0 and =4% forever. Inflation expectations will be forever wrong. This isunlikely.t td. ⎝ might increase because pe ople’s inflation expectations adapt to persistently positiveinflation. The increase in ⎝ has no effect on u n.e. 5= 4+.1-.06=4%+4%=8%For t>5, repeated substitution implies, t= 5+(t-5)*4%.So, 10=28%; 15=48%.f. Inflation expectations will again be forever wrong. This is unlikely.4. a. t= t-1+ 0.1 - 2u t= t-1+ 2%t=2%; t+1=4%; t+2=6%; t+3=8%.b. t=0.5 t+ 0.5 t-1+ 0.1 - 2u tor, t= t-1+ 4%4. c. t=4%; t+1=8%; t+2=12%; t+3=16%d. As indexation increases, low unemployment leads to a larger increase in inflation overtime.5. a. A higher cost of production means a higher markup.b. u n=(0.08+0.1⎧)/2; Thus, the natural rate of unemployment increases from 5% to 6% as⎧increases from 20% to 40%.6. a. Yes. The average rate of unemployment is down. In addition, the unemploymentrate is at a historical low and inflation has not risen.b. The natural rate of unemployment has probably decreased.7. An equation that seems to fit well is: t- t-1=6-u t, which implies a natural rate of approximately 6%.8. The relationships imply a lower natural rate in the more recent period. CHAPTER 91. F TT F FT TT2. a. The unemployment rate will increase by 1% per year when g=0.5%. Unemploymentwill increase unless the growth rate exceeds the sum of productivity growth and labor force growth.b. We need growth of 4.25% per year for each of the next four years.c. Okun’s law is likely to beco me: u t-u t-1=-0.4*(g yt-5%)3. a. u n= 5%b. g yt= 3%; g mt=g yt+ t= 11%c. u g yt g mtt-1:8%5%3%11%t:4%9%-7%-3%t+1:4%5%13%17%t+2:4%5%3%7%4. a. t- t-1= -(u t-.05)u t- u t-1= -.4*(g mt- t-.03)b. t=6.3%; u t=8.7%t+1=1%; u t+1=10.3%c. u=5%; g y=3%; =-3%;5. a. See text for full answer. Gradualism reduces need for large policy swings, with effectsthat are difficult to predict, but immediate reduction may be more credible and encourage rapid, favorable changes in inflation expectations. On the other hand, the staggering ofwagedecisions suggests that, if the policy is credible, a gradual disinflation is the optionconsistent with no change in the unemployment rate.b. Not clear, probably fast disinflation, depending on the features inc.5. c. Some important features: the degree of indexation, the nature of the wage-settingprocess, and the initial rate of inflation.*6. a. u n=K/2; sacrifice ratio=.5 b. t=10%; t+1=8%; t+2=6%; t+3=4%; t+4=2%c. 5 years; sacrifice ratio=(5 point years of excess unemployment)/(10 percentage pointreduction in inflation)=.5d. t=7.5%; t+1=4.125%; t+2=1.594%; 3 years of higher unemployment for a reduction of10%: sacrifice ratio=0.3 e. t+1f. Take measures to enhance credibility.7. a. Inflation will start increasing.b.It should let unemployment increase to its new, higher, natural rate.Chapter 101. TTTFFFTU2. a. Example: France: (1.042)48*5.150=$37.1 k.Germany: $43.4 k; Japan: $76.5 k; UK: $22.5 k; U.S.:$31.7k b. 2.4c. yes.3. a. $5,000b. 2,500 pesos c. $500d. $1,000e. Mexican standard of living relative to the U.S.—exchange rate method:1/10; PPP method: 1/54. a. Y=63b. Y doubles. c. Yes.d. Y/N=(K/N)1/2e. K/N=4 implies Y/N=2. K/N=8 implies Y/N=2.83. Output less than doubles.f. No.g. No. In part f, we are looking at what happens to output when we increasecapital only, not capital and labor in equal proportion. There are decreasing returns tocapital.h. Yes.5. The United States was making the most important technical advances. However, theother countries were able to make up much of their technological gap by importing thetechnologies developed in the United States, and hence, have higher technological progress.6.Convergence for the France, Belgium, and Italy; no convergence for the second set ofcountriesChapter 111. a. Uncertain. True if saving includes public and private saving. False if saving onlyincludes private saving.b. False.c.Uncert UTFFd2. a. No. (1) The Japanese rate of growth is not so high anymore. (2) If the Japanesesaving rate has always been high, then this cannot explain the difference between the rate of growth inJapan and the US in the last 40 or 50 years. (3) If the Japanese saving rate has been higher thanit used to be, then this can explain some of the high Japanese growth. The contribution of high saving to growth in Japan should, however, come to an end.3. After a decade: higher growth rate. After five decades: growth rate back to normal, higher level of output per worker.4. a. Higher saving. Higher output per workerb. Same output per worker. Higher output per capita.5.*YYYd. Y/N = (K/N)1/3e. In steady state, sf(K/N) = ™K/N, which, given the production function in part d,implies: K/N=(s/™)3/2f. Y/N =(s/™)1/2g. Y/N = 2h. Y/N = 21/26.* a. 1b. 1c. K/N=.35; Y/N=.71d. Using equation (11.3), the evolution of K/N is: 0.9, 0.82, 0.757. a. K/N=(s/(2™))2; Y/N=s/(4™) b. C/N=s(1-s)/(4™)c-e. Y/N increases with s; C/N increases until s=.5, then decreases. CHAPTER 121.TFTFTFTUF2. a. Lower growth in poorer countries. Higher growth in rich countries.b. Increase in R&D and in output growth.c. A decrease in the fertility of applied research; a (small) decrease in growth.d. A decrease in the appropriability of drug research. A drop in the development of newdrugs. Lower technological progress and lower growth.3. See discussion in section 12.2.4. Examples will vary. Weakening patent protection would accelerate diffusion, but mightalso discourage R&D.5. a. Year 1: 3000; Year 2: 3960b. Real GDP: 3300; output growth: 10%c. 20%d. Real GDP/Worker=30 in both years; productivity growth is zero.e. RealGDP:3990;outputgrowth:33%.f. -0.8%g. Proper measurement implies real gdp/worker=36.3 in year 2. With improper measurement, productivity growth would be 21 percentage points lower and inflation 21% points higher.6. a. Both lead to an initial decrease in growthb. Only the first leads to a permanent decrease in growth7. a. (K/(AN))*=(s/(™+g A+g N))2=1; (Y/(AN))*=(1)1/2; g Y/(AN)=0; g Y/N=4%; g Y=6%b. (K/(AN))=(4/5)2; (Y/(AN))*=(4/5); g Y/(AN)=0; g Y/N=8%; g Y=10%c. (K/(AN))=(4/5)2; (Y/(AN))*=(4/5); g Y/(AN)=0; g Y/N=4%; g Y=10%People are better off in case a. Given any set of initial values, the level of technology is the same in cases a and c, but the level of capital per effective worker is higher atevery point in time in case a. Thus, since Y/N=A*(Y/(AN))=A*(K/(AN))1/2, output per worker is always higher in case a.8. There is a slowdown in growth and the rate of technological progress in the modernperiod. Japan’s growth rate of technological progress is higher because it is catching upto the U.S. level of technology. Not all of the difference in growth rates of output per worker is attributable to the difference in rates of technological progress. A big part is attributable to the difference in rates of growth of capital per worker.9.* a. ProbablyaffectsA.Thinkofclimate.b.Affects H.c. Affects A. Strong protection tends to encourage more R&D but also to limit diffusion of technology.d. May affect A through diffusion.e. May affect K, H, and A. Lower tax rates increase the after-tax return on investment,and thus tend to lead to more accumulation of K and H and more R&D spending.f. If we interpret K as private capital, than infrastructure affects A—e.g., bettertransportation networks may make the economy more productive by reducing congestion time.g. Assuming no technological progress, lower population growth implies highersteady-state level of output per worker. Lower population growth leads to higher capital per worker. Ifthere is technological progress, there is no steady-state level of output per worker. In this case, however, lower population growth implies that output per worker will be higher at every point in time, for any given path of technology. See the answer to problem 7c.Chapter 131.FFTTTTTTF2. a. u=1-(1/(1+⎧))(A/A e)b. u=1-(1/(1+⎧))=4.8%c. No. Since wages adjust to expected productivity, an increase in productivityeventuallyleads to equiproportional increases in the real wage implied by wage setting and price setting, at the original natural rate of unemployment. So equilibrium can bemaintained without any change in the natural rate of unemployment.3.* a. P=P e(1+⎧)(A e/A)(Y/L)(1/A)b. AS shifts down. Given A e/A=1, an increase in A implies a fall in P, given Y. Thisoccurs because for a given level of Y, unemployment is higher, so wages are lower and so, in turn, is the price level.c. There is now an additional effect, a fall in A e/A. In effect, workers do not receive asmuchof an increase in wages as warranted by the increase in productivity. Compared to part b, nominal wages are lower, leading to a lower value of P given Y.4. Discussion question.5. a. Reduce the gap, if this leads to an increase in the relative supply of skilled workers.b. Reduce the gap, since it leads to a decrease in the relative supply of unskilled workers.c. Reduce the gap, since it leads to an increase in the relative supply of skilled workers.d. Increase the gap, if U.S. firms hire unskilled workers in Central America, since itreduces the relative demand for U.S. unskilled workers.6. a. Textiles production is moving to low wage countries.b. Possibly demographic changes, increased availability of child care outside the home,decline in labor supply for these positions.c. Technological progress.7. Discussion question.CHAPTER 14。
布兰查德《宏观经济学》课后习题及详解(物品市场和金融市场:IS-LM模型)【圣才出品】
第5章物品市场和金融市场:IS-LM模型一、概念题1.IS曲线(IS curve)答:IS曲线是指在商品的总产出等于总需求的情况下利率与总产出之间关系的曲线,它表示了产品市场的均衡条件,在IS曲线上的每一点都满足产品的总需求等于总供给。
财政扩张使得IS曲线向右移动,导致产出增长和利率上升;财政紧缩使得IS曲线向左移动,导致产出减少和利率下降。
2.LM曲线(LM curve)答:LM曲线是指在货币需求量等于货币供给量的情况下总产出与利率之间关系的曲线,它表示了金融市场的均衡条件,在LM曲线上的每一点均满足货币需求等于货币供给。
货币扩张使得LM曲线向下移动,产出增加,利率下降;货币紧缩使得LM曲线向上移动,产出减少,利率上升。
3.财政紧缩(fiscal contraction,fiscal consolidation)答:财政紧缩,是指政府在财政支出规模不变的前提下增加税收或是在财政收入规模不变的前提下减少政府支出,或是既增税又减少支出来收缩总需求的财政政策。
这是与扩张性财政政策相对应的财政政策,它可以通过减少公共支出或提高税收两条途径来实现。
(1)在减少公共支出方面,财政政策需要在维持债务性支出和基金性支出不变的前提下,减少经常性支出和建设性支出。
为了减少经常性支出,政府需要压缩国家机关和人员的支出、非营利性社会事业及其人员的支出、社会保障体系及其人员的支出。
为了减少建设性支出,政府需要大力压缩公共工程支出。
当然,政府在压缩公共支出总量的同时,还要根据经济建设的需要调整公共支出的结构。
(2)在提高税收方面,紧缩性财政政策可以从扩大税基(如缩小减免税或退税的企业范围、降低个人所得税的收入起征点)和提高税率(如提高个人所得税累进税率和将企业的消费型增值税改为生产型增值税)两方面着手。
财政支出的减少和税收的提高,既直接减少了投资和消费需求,又通过降低民间的收入而间接收缩了消费需求。
在财政预算上,财政支出降低和税收提高同步进行,意味着财政盈余的出现或赤字的减少。
章宏观经济学课后习题(第五版)答案
8.如果产品市场和货币市场没有同时达到均衡而市场又往往能使其走向均衡或一般均衡, 为什么还要政府干预经济生活?
产品市场和货币市场的非均衡尽管通过市场的作用可以达到同时均 衡,但不一定能达到充分就业收入水平上的同时均衡,经济会出现衰 退或过热的现象,因此,为了抵消或减轻经济波动造成的影响,还需 要政府运用财政政策和货币政策干预经济生活,即改变IS曲线和LM曲 线,使IS曲线和LM曲线相交于充分就业的国民收入水平上,实现没有 通货膨胀的充分就业。
7.在IS-LM两条曲线相交时所形成的均衡收入是否就是充分就业的国民收入?为什么?
两个市场同时均衡时的收入不一定就是充分就业的国民收入。 因为:
IS和LM都只是表示产品市场上供求相等和货币市场上供求相等的收入和利率的组合, 因此,两条曲线的交点所形成的收入和利率也只表示两个市场同时达到均衡的利率和 收入,它并没有说明这种收入一定是充分就业的收入。当整个社会的有效需求严重不 足时,即使利率甚低,企业投资意愿也较差,这也会使较低的收入和较低利率相结合 达到产品市场的均衡,即IS曲线离IS曲线坐标图形上的原点O较近,当这样的IS和LM 线相交时,交点上的收入往往就是非充分就业的均衡收入。
宏观经济学
14章课后习题及答案
1、自发投资支出增加10亿美元,会使IS:
A. 右移10亿美元; B. 左移10亿美元; C. 右移支出乘数乘以10亿美元; D. 左移支出乘数乘以10亿美元。
本题考察IS曲线移动。e增加10亿美元,y增加e/(1-β)
y e dr - dr e
1
1 1
2、如果净税收增加10亿美元,会使IS:
A. 右移税收乘数乘以10亿美元; B. 左移税收乘数乘以10亿美元; C. 右移支出乘数乘以10亿美元; D. 左移支出乘数乘以10亿美元。
宏观经济学第五版课后习题答案
P38013.假定一国有下列国民收入统计资料:单位:亿美元 国内生产总值 4 800总投资 800净投资 300消费 3 000政府购买 960政府预算盈余 30试计算:(1) 国内生产净值;(2) 净出口;(3) 政府税收减去转移支付后的收入;(4) 个人可支配收入;(5) 个人储蓄。
解答:(1) 国内生产净值=国内生产总值-资本消耗补偿,而资本消耗补偿即折旧等于总投资减净投资后的余额,即500=800-300,因此国内生产净值=4 800-500=4 300(亿美元)。
(2) 从GDP =c +i +g +nx 中可知nx =GDP -c -i -g ,因此,净出口nx =4 800-3 000-800-960=40(亿美元)。
(3) 用BS 代表政府预算盈余,T 代表净税收即政府税收减去转移支付后的收入,则有BS =T -g ,从而有T =BS +g =30+960=990(亿美元)。
(4) 个人可支配收入本来是个人收入减去个人所得税后的余额,本题条件中没有说明间接税、公司利润、社会保险税等因素,因此,可从国民生产净值中直接得到个人可支配收入,即y d =NNP -T =4 300-990=3 310(亿美元)。
(5) 个人储蓄S =y d -c =3 310-3 000=310(亿美元)。
14.假定国内生产总值是5 000,个人可支配收入是4 100,政府预算赤字是200,消费是3 800,贸易赤字是100(单位都是亿元)。
试计算:(1) 储蓄;(2) 投资;(3) 政府支出。
解答:(1) 用s 代表储蓄(即私人储蓄s p ),用y d 代表个人可支配收入,则s =y d -c =4 100-3 800=300(亿元)(2) 用i 代表投资,用s p 、 s g 、 s r 分别代表私人部门、政府部门和国外部门的储蓄,则s g =t -g =BS ,在这里,t 代表政府税收收入,g 代表政府支出,BS 代表预算盈余,在本题中,s g =BS =-200。
宏观经济学第五版课后习题答案(高鸿业版)
1.自发投资支出增加10亿美元,会使IS( )。
A.右移10亿美元;B.左移10亿美元;C.右移支出乘数乘以10亿美元;D.左移支出乘数乘以10亿美元。
解答:C2.如果净税收增加10亿美元,会使IS( )。
A.右移税收乘数乘以10亿美元;B.左移税收乘数乘以10亿美元;C.右移支出乘数乘以10亿美元;D.左移支出乘数乘以10亿美元。
解答:B3.假定货币供给量和价格水平不变,货币需求为收入和利率的函数,则收入增加时( )。
A.货币需求增加,利率上升;B.货币需求增加,利率下降;C.货币需求减少,利率上升;D.货币需求减少,利率下降。
解答:A4.假定货币需求为L=ky-hr,货币供给增加10亿美元而其他条件不变,则会使LM( )。
A.右移10亿美元;B.右移k乘以10亿美元;C.右移10亿美元除以k(即10÷k);D.右移k除以10亿美元(即k÷10)。
解答:C5.利率和收入的组合点出现在IS曲线右上方、LM曲线左上方的区域中,则表示( )。
A.投资小于储蓄且货币需求小于货币供给;B.投资小于储蓄且货币需求大于货币供给;C.投资大于储蓄且货币需求小于货币供给;D.投资大于储蓄且货币需求大于货币供给。
解答:A15. 假设一个只有家庭和企业的两部门经济中,消费c=100+0.8y,投资i=150-6r,实际货币供给m=150,货币需求L=0.2y-4r(单位均为亿美元)。
(1)求IS和LM曲线;(2)求产品市场和货币市场同时均衡时的利率和收入。
解答:(1)先求IS曲线,联立错误!得y =α+βy +e -dr ,此时IS 曲线将为r =α+e d -1-βdy 。
于是由题意c =100+0.8y ,i =150-6r ,可得IS 曲线为r =100+1506-1-0.86y 即 r =2506-130y 或 y =1 250-30r 再求LM 曲线,由于货币供给m =150,货币需求L =0.2y -4r ,故货币市场供求均衡时得150=0.2y -4r即 r =-1504+120y 或 y =750+20r (2)当产品市场和货币市场同时均衡时,IS 和LM 曲线相交于一点,该点上收入和利率可通过求解IS 和LM 的联立方程得到,即错误!得均衡利率r =10,均衡收入y =950(亿美元)。
宏观经济学第五版课后习题答案1217章高鸿业版精品文档31页
第十二章国民收入核算1.宏观经济学和微观经济学有什么联系和区别?为什么有些经济活动从微观看是合理的,有效的,而从宏观看却是不合理的,无效的?解答:两者之间的区别在于:(1)研究的对象不同。
微观经济学研究组成整体经济的单个经济主体的最优化行为,而宏观经济学研究一国整体经济的运行规律和宏观经济政策。
(2)解决的问题不同。
微观经济学要解决资源配置问题,而宏观经济学要解决资源利用问题。
(3)中心理论不同。
微观经济学的中心理论是价格理论,所有的分析都是围绕价格机制的运行展开的,而宏观经济学的中心理论是国民收入(产出)理论,所有的分析都是围绕国民收入(产出)的决定展开的。
(4)研究方法不同。
微观经济学采用的是个量分析方法,而宏观经济学采用的是总量分析方法。
两者之间的联系主要表现在:(1)相互补充。
经济学研究的目的是实现社会经济福利的最大化。
为此,既要实现资源的最优配置,又要实现资源的充分利用。
微观经济学是在假设资源得到充分利用的前提下研究资源如何实现最优配置的问题,而宏观经济学是在假设资源已经实现最优配置的前提下研究如何充分利用这些资源。
它们共同构成经济学的基本框架。
(2)微观经济学和宏观经济学都以实证分析作为主要的分析和研究方法。
(3)微观经济学是宏观经济学的基础。
当代宏观经济学越来越重视微观基础的研究,即将宏观经济分析建立在微观经济主体行为分析的基础上。
由于微观经济学和宏观经济学分析问题的角度不同,分析方法也不同,因此有些经济活动从微观看是合理的、有效的,而从宏观看是不合理的、无效的。
例如,在经济生活中,某个厂商降低工资,从该企业的角度看,成本低了,市场竞争力强了,但是如果所有厂商都降低工资,则上面降低工资的那个厂商的竞争力就不会增强,而且职工整体工资收入降低以后,整个社会的消费以及有效需求也会降低。
同样,一个人或者一个家庭实行节约,可以增加家庭财富,但是如果大家都节约,社会需求就会降低,生产和就业就会受到影响。
宏观经济学第五版课后答案(共10篇)
宏观经济学第五版课后答案(共10篇)宏观经济学第五版课后答案(一): 宏观经济学习题3 ,请大家帮忙做做!非常感谢!5、假设在两部门经济中,C=50+0.8Y,I=50。
(C为消费,I为投资)• (1)求均衡的国民收入Y、C、S分别为多少(2)投资乘数是多少• (3)如果投资增加20(即△I=20),国民收入将如何变化若充分就业的YF=800,经济存在紧缩还是膨胀其缺口是多少6、假如某人的边际消费倾向恒等于1/2,他的收支平衡点是8000美元,若他的收入为1万美元,试计算:他的消费和储蓄各为多少?7、假设经济模型为:C=20+0.75(Y-T);I=380;G=400;T=0.20Y;Y=C+I+G。
• (1)计算边际消费倾向。
(2)计算均衡的收入水平。
• (3)在均衡的收入水平下,政府预算盈余为多少?1 Y=C+I=0.8Y+50+50=0.8Y+100 ,Y=500,I=50,C=450,ki=1/(1-0.8)=5I增加20,Y增加100,紧缩,缺口800-500=3002 边际消费倾向1/2设消费函数c=a+0.5y收支平衡点80008000=a+4000,a=4000c=4000+0.5yy=10000,c=9000,s=10003 dc/dy=0.75*0.8=0.6y=c+i+g=20+0.75(y-0.2y)+380+400=0.6y+800,y=2023预算盈余bs=t-g=400-400=0宏观经济学第五版课后答案(二): 普通物理学_(第五版) 课后习题答案-1 分析与解 (1) 质点在t 至(t +Δt)时间内沿曲线从P 点运动到P′点,各量关系如图所示,其中路程Δs =PP′,位移大小|Δr|=PP′,而Δr =|r|-|r|表示质点位矢大小的变化量,三个量的物理含义不同,在曲线运动中大小也不相等(注:在直线运动中有相等的可能).但当Δt→0 时,点P′无限趋近P点,则有|dr|=ds,但却不等于dr.故选(B).(2) 由于|Δr |≠Δs,故 ,即||≠ .但由于|dr|=ds,故 ,即||=.由此可见,应选(C).1-2 分析与解表示质点到坐标原点的距离随时间的变化率,在极坐标系中叫径向速率.通常用符号vr表示,这是速度矢量在位矢方向上的一个分量;表示速度矢量;在自然坐标系中速度大小可用公式计算,在直角坐标系中则可由公式求解.故选(D).1-3 分析与解表示切向加速度at,它表示速度大小随时间的变化率,是加速度矢量沿速度方向的一个分量,起改变速度大小的作用;在极坐标系中表示径向速率vr(如题1 -2 所述);在自然坐标系中表示质点的速率v;而表示加速度的大小而不是切向加速度at.因此只有(3) 式表达是正确的.故选(D). 1-4 分析与解加速度的切向分量at起改变速度大小的作用,而法向分量an 起改变速度方向的作用.质点作圆周运动时,由于速度方向不断改变,相应法向加速度的方向也在不断改变,因而法向加速度是一定改变的.至于at是否改变,则要视质点的速率情况而定.质点作匀速率圆周运动时,at恒为零;质点作匀变速率圆周运动时,at为一不为零的恒量,当at改变时,质点则作一般的变速率圆周运动.由此可见,应选(B).1-5 分析与解本题关键是先求得小船速度表达式,进而判断运动性质.为此建立如图所示坐标系,设定滑轮距水面高度为h,t 时刻定滑轮距小船的绳长为l,则小船的运动方程为 ,其中绳长l 随时间t 而变化.小船速度 ,式中表示绳长l 随时间的变化率,其大小即为v0,代入整理后为 ,方向沿x 轴负向.由速度表达式,可判断小船作变加速运动.故选(C).1-6 分析位移和路程是两个完全不同的概念.只有当质点作直线运动且运动方向不改变时,位移的大小才会与路程相等.质点在t 时间内的位移Δx 的大小可直接由运动方程得到:,而在求路程时,就必须注意到质点在运动过程中可能改变运动方向,此时,位移的大小和路程就不同了.为此,需根据来确定其运动方向改变的时刻tp ,求出0~tp 和tp~t 内的位移大小Δx1 、Δx2 ,则t 时间内的路程 ,如图所示,至于t =4.0 s 时质点速度和加速度可用和两式计算.解 (1) 质点在4.0 s内位移的大小宏观经济学第五版课后答案(三): 曼昆的宏观经济学第五版中第26章习题的问题第九题最后一个问,假设家庭相信,政府现在借款越多意味着未来为了偿还政府债务而必须征收的税率越高,为什么这种信念还会让家庭认为“减税并没有减少家庭整体税单,它仅仅是延期而已。
布兰查德宏观经济学课后答案共25页word资料
Chapter 11. a.True. b.True. c.False. d.True. e.False. f.False.2. a. 1960-98 2019-99-------------------US 3.1% 3.8%EU 3.1% 2.5%Japan 5.8%-1.0%While the US growth rate higher than its long-run average over the period, the growth rate has slowed relative to long-run averages in both the EU and Japan over the last few years.b. Sometimes the economy is growing quickly, other times it is growing slowly or even contracting. The last few years of rapid growth in the US do not imply that the long-run average rate of growth has increased back to its pre-1974 level.3. a. The data in the web page are: Real Gross Domestic Product,Real Final Sales of Domestic Product, and Real Gross National Product, Quarterly, 1959-96[Percent change from preceding quarter]Gross Final sales Grossdomestic of domestic nationalproduct product product1959: I 8.6 9.2 8.6II11.27.311.1III-0.3 5.3-0.2IV 1.7-1.3 1.91996: I 1.8 2.6 1.8II 6.0 5.2 5.7III 1.00.20.6IV 4.3 4.5 4.9suggesting that recessions typically last two-three quarters and that the most severe recessions in that period were the recessions of 1974-75 and 1981-82.b. Percentage Changes in:Output GrowthInflation1968: 4.7 4.4I7.5 4.7II7.1 4.1III 3.0 3.8IV 1.8 5.51969: 3.0 4.7I 6.2 3.8II 1.0 5.0III 2.3 5.8IV-2.0 5.11970: 0.1 5.3I-0.7 6.0II0.6 5.7III 3.7 3.4IV-3.9 5.41971: 3.3 5.2I11.3 6.4II 2.3 5.5III 2.6 4.4IV 1.1 3.3If history simply repeats itself, the United States might have a short recession (lasting perhaps oneyear) accompanied by an acceleration in the rate of inflation by about one percentage point.4. a. Banking services, business services.b. Not only has the relative demand for skilled workers increased but the industries wherethis effect is the strongest are making up a greater fraction of the economy.5. 1. Low unemployment might lead to an increase in inflation.2. Although measurement error certainly contributes to the measured slowdown ingrowth, there are other issues to consider as well, including the productivity of newresearch and accumulation of new capital.3. Although labor market rigidities may be important, it is also important to consider thatthese rigidities may not be excessive, and that high unemployment may arise from flawed macroeconomic policies.4. Although there were serious problems with regard to the management of Asian financial systems, it is important to consider the possibility that the flight of foreign capital from these countries worsened the situation by causing a severe stock market crash and exchange rate depreciation.5. Although the Euro will remove obstacles to free trade between European countries,each country will be forced to give up its own monetary policy.* 6. a. From Chapter 1: US output 2019=$8b; Ch ina output 1996=$.84b. Note that China’s outputin 2019 is $(.84)*(1.09) b. Equating output for some time t in the future:8*(1.03)t=(.84*1.09)*(1.09)t8/(.84*1.09)=(1.09/1.03)t8.737=(1.058)tt =ln(8.737)/ln(1.058) H38yrsb. From Chapter 1: US output/worker in 2019=$29,800; China output/per worker in1996=$70029.8*(1.03)t=(.7*1.09)*(1.09)tt H65 yearsChapter 21. a. False.b. Uncertain: real or nominalGDP. c. True.d. True.e. False. The level of the CPI means nothing. Its rate of change tells us about inflation.f. Uncertain. Which index is better depends on what we are trying to measure—inflationfacedby consumers or by the economy as a whole.2. a. +$100; Personal ConsumptionExpenditures b. nochange:intermediategoodc. +$200 million; Gross PrivateDomesticFixedInvestmentd. +$200 million; Net Exportse. no change: the jet was already counted when it was produced, i.e., presumably whenDelta(or some other airline) bought it new as an investment.*3. a. Measured GDP increases by $10+$12=$22.b. True GDP should increase by much less than $22 because by working for an extra hour,you are no longer producing the work of cooking within the house. Since cooking within the house is a final service, it should count as part of GDP. Unfortunately, it is hard to measure the value of work within the home, which is why measured GDP does not include it.4. a. $1,000,000 the value of the silver necklaces.b. 1st Stage:$300,000.2ndStage:$1,000,00-$300,000=$700,000.GDP: $300,000+$700,000=$1,000,000.c. Wages: $200,000 + $250,000=$450,000.Profits: ($300,000-$200,000)+($1,000,000-$250,000-300,000)=$100,000+$450,000=$550,000.GDP:$450,000+$550,000=$1,000,000.5. a. 2019 GDP: 10*$2,000+4*$1,000+1000*$1=$25,0002019 GDP: 12*$3,000+6*$500+1000*$1=$40,000Nominal GDP has increased by 60%.b. 2019 real (2019) GDP: $25,0002019 real (2019) GDP: 12*$2,000+6*$1,000+1000*$1=$31,000Real (2019) GDP has increased by 24%.c. 2019 real (2019) GDP: 10*$3,000+4*$500+1,000*$1=$33,0002019 real (2019) GDP: $40,000.Real (2019) GDP has increased by 21.2%.d. True.6. a. 2019 base year:Deflator(2019)=1; Deflator(2019)=$40,000/$31,000=1.29Inflation=29%b. 2019 base year:Deflator(2019)=$25,000/$33,000=0.76; Deflator(2019)=1Inflation=(1-0.76)/0.76=.32=32% c. Yes7. a. 2019 real GDP = 10*$2,500 + 4*$750 + 1000*$1 = $29,0002019 real GDP = 12*$2,500 + 6*$750 + 1000*$1 = $35,500b. (35,500-29,000)/29,000 = .224 = 22.4%c. Deflator in 2019=$25,000/$29,000=.86Deflator in 2019=$40,000/$35,500=1.13Inflation = (1.13 -.86)/.86 = .314 = 31.4%.8. a. The quality of a routine checkup improves over time. Checkups now may includeEKGs, for example. Medical services are particularly affected by this problem due toconstantimprovements in medical technology.b. You need to know how the market values pregnancy checkups with and withoutultra-soundsin that year.c. This information is not available since all doctors adopted the new technologysimultaneously. Still, you can tell that the quality adjusted increase will be lower than20%.*9. a. approximately 2.5% b. 1992 real GDP growth: 2.7%;unemployment rate Jan 92: 7.3%; unemployment rate Jan 93: 7.3%Supports Okun's law because the unemployment rate does not change when the growth rate of real GDP is near 2.5% c. -2 percentage points change in the unemployment rate; 5percent GDP growth d. The growth rate of GDP must increase by 2.5 percentage points. Chapter 31. a. True.b. False. Government spending was 18% if GDP without transfers.c. False. The propensity to consume must be less than one for our model to be welldefined.d.True. e.False.f. False. The increase in output is one times the multiplier.2. a. Y=160+0.6*(Y-100)+150+150 0.4Y=460-60 Y=1000b. Y D=Y-T=1000-100=900c. C=160+0.6*(900)=7003. a. No. The goods market is not in equilibrium. Frompart 2a, Demand=1000=C+I+G=700+150+150b. Yes. The goods market is in equilibrium.c. No. Private saving=Y-C-T=200. Public saving =T-G=-50. National saving (or inshort, saving) equals private plus public saving, or 150. National saving equalsinvestment.4. a. Roughly consistent. C/Y=700/1000=70%; I/Y=G/Y=150/1000=15%.b. Approximately -2%.c. Y needs to fall by 2%, or from 1000 to 980. The parameter c0needs to fall by20/multiplier,or by 20*(.4)=8. So c0needs to fall from 160 to 152.d. The change in c0(-8) is less than the change in GDP (-20) due to the multiplier.5. a. Y increases by 1/(1-c1) b. Y decreases by c1/(1- c1)c. The answers differ because spending affects demand directly, but taxes affectdemand through consumption, and the propensity to consume is less than one.d. The change in Y equals 1/(1-c1) - c1/(1- c1) = 1. Balanced budget changes in G and Tare not macroeconomically neutral.e. The propensity to consume has no effect because the balanced budget tax increase abortsthe multiplier process. Y and T both increase by on unit, so disposable income, and hence consumption, do not change.*6. a. The tax rate ilessthanone.b.Y=c0+c1Y D+I+G impliesY=[1/(1-c1+c1t1)]*[c0-c1t0+I+G]c. The multiplier = 1/(1-c1+c1t1) <1/(1- c1), so the economy responds less to changes inautonomous spending when t1is positive.d. Because of the automatic effect of taxes on the economy, the economy responds less tochanges in autonomous spending than in the case where taxes are independent of income. So output tends to vary less, and fiscal policy is called an automatic stabilizer.*7. a. Y=[1/(1-c1+c1t1)]*[c0-c1t0+I+G] b. T = c1t0+ t1*[1/(1-c1+c1t1)]*[c0-c1t0+I+G]c. Both Y and T decrease.d. If G is cut, Y decreases even more.Chapter 41.a.True.b.Fals.c.True.d.True.e.False.f.False.g.True.2. a. i=0.05: Money demand = $18,000; Bond demand = $32,000i=.1: Money demand = $15,000; Bond demand = $35,000b. Money demand decreases when the interest rate increases; bond demand increases. Thisis consistent with the text.c. The demand for money falls by 50%. d. The demand formoney falls by 50%.e. A 1% increase (decrease) in income leads to a 1% increase (decrease) in money demand.This effect is independent of the interest rate.3. a. i=100/$P B–1; i=33%; 18%; 5% when $P B=$75; $85; $95.b. Negative.c. $P B=100/(1.08) $934. a. $20=M D=$100*(.25-i) i=5%b. M=$100*(.25-.15)M=$105. a. B D= 50,000 - 60,000 (.35-i)An increase in the interest rate of 10% increases bond demand $6,000.b. An increase in wealth increases bond demand, but has no effect on money demand.c. An increase in income increases money demand, but decreases bond demand.d. When people earn more income, this does not change their wealth right away. Thus,they increase their demand for money and decrease their demand for bonds.6. a. Demand for high-powered money=0.1*$Y*(.8-4i)b. $100 b = 0.1*$5,000b*(.8-4i) i=15%c. M=(1/.1)*$100 b=$1,000 b M= M d at the interest derived in part b.6. d. If H increases to $300, falls to 5%.e. M=(1/.1)*$300 b=$3,000 b7. a. $16 is withdrawn on each trip to the bank.Money holdings—day one: $16; day two: $12; day three: $8; day four: $4.b. Average money holdings are $10.c. $8 dollar withdrawals; money holdings of $8; $4; $8; $4.d. Average money holdings are $6.e. $16 dollar withdrawals; money holdings of $0; $0; $0; $16.f. Average money holdings are $4.g. Based on these answers, ATMs and credit cards have reduced money demand.8. a. velocity=1/(M/$Y)=1/L(i)b. Velocity roughly doubled between the mid 1960s and the mid 1990s.c. ATMS and credit cards reduced L(i) so velocity increased.Chapter 51.a.Trub.Truc.Fal.d. False. The balanced budget multiplier is positive (it equals one), so the IS curve shiftsright.e. False.f. Uncertain. An increase in G leads to an increase in Y (which tends to increaseinvestment), but an increase in the interest rate (which tends to reduce investment).g. True.*2. Firms deciding how to use their own funds will compare the return on bonds to the return on investment. When the interest rate on bonds increases, they become more attractive, and firms are more likely to use their funds to purchase bonds, rather than to finance investment projects.a.Y=[1/(1-c1)]*[c0-c1T+I+G]The multiplier is 1/(1-c1).b. Y=[1/(1-c1-b1)]*[c0-c1T+ b0-b2i +G]The multiplier is 1/(1-c1-b1). Since the multiplier is larger than the multiplier in part a, the effect of a change in autonomous spending is bigger than in part a.c. Substituting for the interest rate in the answer to partb: Y=[1/(1-c1-b1+ b2d1/d2)]*[c0-c1T+ b0+(b2*M/P)/d2+G]The multiplier is 1/(1-c1-b1+ b2d1/d2).d. The multiplier is greater (less) than the multiplier in part a if (b1- b2d1/d2) is greater (less)than zero. The multiplier is big if b1is big, b2is small, d1is small, and/or d2is big, i.e., if investment is very sensitive to Y, investment is not very sensitive to i, money demand is not very sensitive to Y, money demand is very sensitive to i.4. a. The IS curve shifts left. Output and the interest rate fall. The effect on investmentis ambiguous because the output and interest rate effects work in opposite directions: the fall in output tends to reduce investment, but the fall in the interest rate tends to increase it.b. From 3c: Y=[1/(1-c1-b1)]*[c0-c1T+ b0-b2i +G]c. From the LM relation: i= Y*d1/d2–(M/P)/d2To obtain the equilibrium interest rate, substitute for Y from part b.d. I= b0+ b1Y- b2i= b0+ b1Y- b2Y* d1/d2+ b2(M/P)/d2To obtain equilibrium investment, substitute for Y from part b.e. Holding M/P constant, I increases with equilibrium output when b1>b2d1/d2.Since a decrease in G reduces output, the condition under which a decrease in G increases investment is b1<b2d1/d2.f. The interpretation of the condition in part e is that the effect on I from Y has to be lessthan the effect from i after controlling for the endogenous response of i and Y, determined by the slope of the LM curve, d1/d2.5. a. Y=C+I+G=200+.25*(Y-200)+150+.25Y-1000i+250Y=1100-2000ib.M/P=1600=2Y-8000i i=Y/4000-1/5c. Substituting b into a: Y=1000d. Substituting c into b: i=1/20=5%e. C=400; I=350; G=250; C+I+G=1000f. Y=1040; i=3%; C=410; I=380. A monetary expansion reduces the interest rate andincreases output. The increase in output increases consumption. The increase in outputand the fall in the interest rate increase investment.g. Y=1200; i=10%; C=450; I=350. A fiscal expansion increases output and the interestrate. The increase in output increases consumption.h. The condition from problem 3 is satisfied with equality (.25=1000*(2/8000)), socontractionary fiscal policy will have no effect on investment. When G=100: i=0%;Y=800; I=350; and C=350.*6. a. The LM curve is flatb. Japan was experiencing a liquidity trap. c. Fiscal policy is more effective.7. a. Increase G (or reduce T) and increase M.b. Reduce G (or increase T) and increase M. The interest rate falls. Investment increases,since the interest rate falls while output remains constant.CHAPTER 61.a.Fals.b.Fals.c.Falsd.False.Truf.Falsg.Uncertaih.True.i. False.2. a. (Monthly hires+monthly separations)/monthly employment =6/93.8=6.4%b. 1.6/6.5=25%c. 2.4/6.5=37%. Duration is 1/.37 or 2.7 months.d. 4.9/57.3=9%.e. new workers: .35/4.9=7%; retirees: .2/4.9=4%.3. a and b. Answers will depend on when the page is accessed.c. The decline in unemployment does not equal the increase in employment, because thelabor force is not constant. It has increased over the period.4. a. 66%; 66%*66%*66%= 29%; (66%)6= 8%b. (66%)6= 8%c. (for 2019): 875/6210= .145. a. Answers will vary.b and c. Most likely, the job you will have ten years later will pay a lot more thanyour reservation wage at the time (relative to your typical first job).d. The later job is more likely to require training and will probably be a much harderjob to monitor. So, as efficiency wage theory suggests, your employer will be willing topay a lot more than your reservation wage for the later job, to ensure low turnover andlow shirking.6. a. The computer network administrator has more bargaining power. She is muchharder to replace.6. b. The rate of unemployment is a key statistic. For example, when there are manyunemployed workers it becomes easier for firms to find replacements. This reduces the bargaining power of workers.7. a. W/P=1/(1+ )=1/1.05=.95 b. Price setting: u=1-W/P=5%c. W/P=1/1.1=.91; u=1-.91=9%. The increase in the markup lowers the real wage.From the wage-setting equation, the unemployment rate must rise for the real wage to fall.So the natural rate increases.CHAPTER 71.a.Trub.Trc.Falsd.Fale.Truf.Falg.Fal2. a. IS right, AD right, AS up, LM up, Y same, i up, P upb. IS left, AD left, AS down, LM down, Y same, i down, P down3. a.WS PS AS AD LM IS Y i PShort run:up same up same up same down up upMedium run:up same up same up same down up upb.WS PS AS AD LM IS Y i PShort run:same up down same down same up down downMedium run:same up down same down same up down down4. a. After an increase in the level of the money supply, output and the interest-rate eventually return to the same level. However, monetary policy is useful, because it can accelerate the return to the natural level of output.b. In the medium run, investment and the interest rate both change with fiscal policy.c. False. Labor market policies, such as unemployment insurance, can affect the naturallevel of output.*5. a. Open answer. Firms may be so pessimistic about sales that they do not want to borrow at any interest rate.b. The IS curve is vertical; the interest rate does not affect equilibrium output.c. No change.d. The AD curve is vertical; the price level does not affect equilibrium output.e. The increase in z reduces the natural level of output and shifts the AS curve up. SincetheAD curve is vertical, output does not change, but prices increase. Note that output is above its natural level.f. The AS curve shifts up forever, and prices keep increasing forever. Output does notchange, and remains above its natural level forever.6. a. The natural level of output is Y n. Assuming that output starts at is naturallevel, P0= M0- (1/c)*Y nb. Assuming that P e=P0: Y = 2cM0-cP=2cM0-cP0-cdY+cdY nRecalling that Y n=c(M0-P0): Y= Y n+ (c/(1+c d))*M0c. Investment goes up because output is higher and the interest rate is lower.d. In the medium run, Y = Y ne. In the medium run, investment returns to its previous level, because output and the interestrate return to their previous levels.CHAPTER 81.a.Trb.Fac.Fad.Tre.Faf.Tr2. a. No. In the 1970s, we experienced high inflation and high unemployment. The expectations- augmented Phillips curve is a relationship between inflation and unemployment conditional on the natural rate and inflation expectations. Given inflation expectations,increases in the natural rate (which result from adverse shocks to labor market institutions—increases in z—or from increases in the markup—which encompass oil shocks) lead to an increase in both theunemployment rate and the inflation rate. In addition, increases in inflation expectations imply higher inflation for any level of unemployment and tend to increase the unemployment rate inthe short run (think of an increase in the expected price level, given last period’s price, in the AD-AS framework). In the 1970s, both the natural rate and expected inflation increased, so both unemployment and inflation were relatively high.b. No. The expectations-augmented Phillips curve implies that maintaining a rate ofunemployment below the natural rate requires increasing (not simply high) inflation. This is because inflation expectations continue to adjust to actual inflation.3. a. u n=0.1/2 =5%b. t=0.1-2*.03 = 4% every year beginning with year t.c. e= 0 and =4% forever. Inflation expectations will be forever wrong. This isunlikely.t td. ⎝ m ight increase because people’s inflation expectations adapt to persistently positiveinflation. The increase in ⎝ has no effect on u n.e. 5= 4+.1-.06=4%+4%=8%For t>5, repeated substitution implies, t= 5+(t-5)*4%.So, 10=28%; 15=48%.f. Inflation expectations will again be forever wrong. This is unlikely.4. a. t= t-1+ 0.1 - 2u t= t-1+ 2%t=2%; t+1=4%; t+2=6%; t+3=8%.b. t=0.5 t+ 0.5 t-1+ 0.1 - 2u tor, t= t-1+ 4%4. c. t=4%; t+1=8%; t+2=12%; t+3=16%d. As indexation increases, low unemployment leads to a larger increase in inflation overtime.5. a. A higher cost of production means a higher markup.b. u n=(0.08+0.1⎧)/2; Thus, the natural rate of unemployment increases from 5% to 6% as⎧increases from 20% to 40%.6. a. Yes. The average rate of unemployment is down. In addition, the unemploymentrate is at a historical low and inflation has not risen.b. The natural rate of unemployment has probably decreased.7. An equation that seems to fit well is: t- t-1=6-u t, which implies a natural rate of approximately 6%.8. The relationships imply a lower natural rate in the more recent period.CHAPTER 91. F TT F FT TT2. a. The unemployment rate will increase by 1% per year when g=0.5%. Unemploymentwill increase unless the growth rate exceeds the sum of productivity growth and labor force growth.b. We need growth of 4.25% per year for each of the next four years.c. Okun’s law is likely to become: u t-u t-1=-0.4*(g yt-5%)3. a. u n= 5%b. g yt= 3%; g mt=g yt+ t= 11%c. u g yt g mtt-1:8%5%3%11%t:4%9%-7%-3%t+1:4%5%13%17%t+2:4%5%3%7%4. a. t- t-1= -(u t-.05)u t- u t-1= -.4*(g mt- t-.03)b. t=6.3%; u t=8.7%t+1=1%; u t+1=10.3%c. u=5%; g y=3%; =-3%;5. a. See text for full answer. Gradualism reduces need for large policy swings, with effectsthat are difficult to predict, but immediate reduction may be more credible and encourage rapid, favorable changes in inflation expectations. On the other hand, the staggering of wagedecisions suggests that, if the policy is credible, a gradual disinflation is the optionconsistent with no change in the unemployment rate.b. Not clear, probably fast disinflation, depending on the features inc.5. c. Some important features: the degree of indexation, the nature of the wage-settingprocess, and the initial rate of inflation.*6. a. u n=K/2; sacrifice ratio=.5 b. t=10%; t+1=8%; t+2=6%; t+3=4%; t+4=2%c. 5 years; sacrifice ratio=(5 point years of excess unemployment)/(10 percentage pointreduction in inflation)=.5d. t=7.5%; t+1=4.125%; t+2=1.594%; 3 years of higher unemployment for a reduction of10%: sacrifice ratio=0.3 e. t+1f. Take measures to enhance credibility.7. a. Inflation will start increasing.b.It should let unemployment increase to its new, higher, natural rate.Chapter 101. TTTFFFTU2. a. Example: France: (1.042)48*5.150=$37.1 k.Germany: $43.4 k; Japan: $76.5 k; UK: $22.5 k; U.S.:$31.7k b. 2.4c. yes.3. a. $5,000b. 2,500 pesos c. $500d. $1,000e. Mexican standard of living relative to the U.S.—exchange rate method:1/10; PPP method: 1/54. a. Y=63b. Y doubles. c. Yes.d. Y/N=(K/N)1/2e. K/N=4 implies Y/N=2. K/N=8 implies Y/N=2.83. Output less than doubles.f. No.g. No. In part f, we are looking at what happens to output when we increasecapital only, not capital and labor in equal proportion. There are decreasing returns tocapital.h. Yes.5. The United States was making the most important technical advances. However, theother countries were able to make up much of their technological gap by importing thetechnologies developed in the United States, and hence, have higher technological progress.6.Convergence for the France, Belgium, and Italy; no convergence for the second set ofcountriesChapter 111. a. Uncertain. True if saving includes public and private saving. False if saving onlyincludes private saving.b. False.c.Uncert UTFFd2. a. No. (1) The Japanese rate of growth is not so high anymore. (2) If the Japanesesaving rate has always been high, then this cannot explain the difference between the rate of growth inJapan and the US in the last 40 or 50 years. (3) If the Japanese saving rate has been higher thanit used to be, then this can explain some of the high Japanese growth. The contribution of high saving to growth in Japan should, however, come to an end.3. After a decade: higher growth rate. After five decades: growth rate back to normal, higher level of output per worker.4. a. Higher saving. Higher output per workerb. Same output per worker. Higher output per capita.5.*YYYd. Y/N = (K/N)1/3e. In steady state, sf(K/N) = ™K/N, which, given the production function in part d,implies: K/N=(s/™)3/2f. Y/N =(s/™)1/2g. Y/N = 2h. Y/N = 21/26.* a. 1b. 1c. K/N=.35; Y/N=.71d. Using equation (11.3), the evolution of K/N is: 0.9, 0.82, 0.757. a. K/N=(s/(2™))2; Y/N=s/(4™) b. C/N=s(1-s)/(4™)c-e. Y/N increases with s; C/N increases until s=.5, then decreases. CHAPTER 121.TFTFTFTUF2. a. Lower growth in poorer countries. Higher growth in rich countries.b. Increase in R&D and in output growth.c. A decrease in the fertility of applied research; a (small) decrease in growth.d. A decrease in the appropriability of drug research. A drop in the development of newdrugs. Lower technological progress and lower growth.3. See discussion in section 12.2.4. Examples will vary. Weakening patent protection would accelerate diffusion, but mightalso discourage R&D.5. a. Year 1: 3000; Year 2: 3960b. Real GDP: 3300; output growth: 10%c. 20%d. Real GDP/Worker=30 in both years; productivity growth is zero.e. RealGDP:3990;outputgrowth:33%.f. -0.8%g. Proper measurement implies real gdp/worker=36.3 in year 2. With improper measurement, productivity growth would be 21 percentage points lower and inflation 21% points higher.6. a. Both lead to an initial decrease in growthb. Only the first leads to a permanent decrease in growth7. a. (K/(AN))*=(s/( +g A+g N))2=1; (Y/(AN))*=(1)1/2; g Y/(AN)=0; g Y/N=4%; g Y=6%b. (K/(AN))=(4/5)2; (Y/(AN))*=(4/5); g Y/(AN)=0; g Y/N=8%; g Y=10%c. (K/(AN))=(4/5)2; (Y/(AN))*=(4/5); g Y/(AN)=0; g Y/N=4%; g Y=10%People are better off in case a. Given any set of initial values, the level of technology is the same in cases a and c, but the level of capital per effective worker is higher atevery point in time in case a. Thus, since Y/N=A*(Y/(AN))=A*(K/(AN))1/2, output per worker is always higher in case a.8. There is a slowdown in growth and the rate of technological progress in the modernperiod. Japan’s growth rate of technological progress is higher because it is catching up to the U.S. level of technology. Not all of the difference in growth rates of output per worker is attributable to the difference in rates of technological progress. A big part is attributable to the difference in rates of growth of capital per worker.9.* a. ProbablyaffectsA.Thinkofclimate.b.Affects H.c. Affects A. Strong protection tends to encourage more R&D but also to limit diffusion of technology.d. May affect A through diffusion.e. May affect K, H, and A. Lower tax rates increase the after-tax return on investment,and thus tend to lead to more accumulation of K and H and more R&D spending.f. If we interpret K as private capital, than infrastructure affects A—e.g., bettertransportation networks may make the economy more productive by reducing congestion time.g. Assuming no technological progress, lower population growth implies highersteady-state level of output per worker. Lower population growth leads to higher capital per worker. Ifthere is technological progress, there is no steady-state level of output per worker. In this case, however, lower population growth implies that output per worker will be higher at every point in time, for any given path of technology. See the answer to problem 7c.Chapter 131.FFTTTTTTF2. a. u=1-(1/(1+⎧))(A/A e)b. u=1-(1/(1+⎧))=4.8%c. No. Since wages adjust to expected productivity, an increase in productivityeventuallyleads to equiproportional increases in the real wage implied by wage setting and price setting, at the original natural rate of unemployment. So equilibrium can bemaintained without any change in the natural rate of unemployment.3.* a. P=P e(1+⎧)(A e/A)(Y/L)(1/A)b. AS shifts down. Given A e/A=1, an increase in A implies a fall in P, given Y. Thisoccurs because for a given level of Y, unemployment is higher, so wages are lower and so, in turn, is the price level.c. There is now an additional effect, a fall in A e/A. In effect, workers do not receive asmuchof an increase in wages as warranted by the increase in productivity. Compared to part b, nominal wages are lower, leading to a lower value of P given Y.4. Discussion question.5. a. Reduce the gap, if this leads to an increase in the relative supply of skilled workers.b. Reduce the gap, since it leads to a decrease in the relative supply of unskilled workers.c. Reduce the gap, since it leads to an increase in the relative supply of skilled workers.d. Increase the gap, if U.S. firms hire unskilled workers in Central America, since itreduces the relative demand for U.S. unskilled workers.6. a. Textiles production is moving to low wage countries.b. Possibly demographic changes, increased availability of child care outside the home,decline in labor supply for these positions.c. Technological progress.7. Discussion question.CHAPTER 141. TTTFTFTTF The nominal interest rate is always positive.The real interest rate can be negative.2. a. Real. Nominal profits are likely to move with inflation; real profits are easier to forecast.b. Nominal. The payments are nominal.c. Nominal. If lease payments are in nominal terms, as is typical.3. a. Exact: r=(1+.04)/(1+.02)-1=1.96%; Approximation: r=.04-.02=2%b. 3.60%; 4%c. 5.48%; 8%4. a. No. Otherwise, nobody would hold bonds. Money would be more appealing: it pays at leasta zero nominal interest rate and can be used for transactions.b. Yes. The real interest rate will be negative if expected inflation exceeds the nominalinterest rate. Even so, the real interest rate on bonds (which pay nominal interest) willexceed the real interest rate on money (which does not pay nominal interest) by the nominal interest rate.c. A negative real interest rate makes borrowing very attractive, and leads to a largedemand for investment.5. a. The discount rate is the interest rate. So EPDV are (i) $2,000*(1-.25) under eitherinterest rate and (ii) (1-.2)*$2,000 under either interest rate.b. The interest rate does not enter the calculation. Hence, you prefer ii to i since 20%<25%. Note that the answer to parta does not imply that saving will not accumulate. By retirement,the initial investment will have grown by a factor of (1+i)40in nominal terms and (1+r)40in real terms. As long as r is positive, the purchasing power of the initial investment will grow.In addition, this simple example omits an important real-world feature of retirement savings: the tax-free accrual of interest. As a result of this feature, the effective interest rate on。
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ANSWERS TO END-OF-CHAPTER PROBLEMSCHAPTER 1Quick Check1. a. True.b. True.c. False.d. False/uncertain. The rate of growth was higher during the decade beginning in 1996 than duringthe previous two decades, but it is probably unrealistic to expect productivity to continue to growat such a fast pace.e. False. There are problems with the statistics, but the consensus is that growth in China has beenhigh.f. False. The European “unemployment miracle” refers to the relatively low Europ eanunemployment rate in the 1960s and the early 1970s.g. True.h. True.2. a. More flexible labor market institutions may lead to lower unemployment, but there are questionsabout how precisely to restructure these institutions. The United Kingdom has restructured itslabor market institutions to resemble more closely U.S. institutions and now has a lowerunemployment rate than before the restructuring. On the other hand, Denmark and theNetherlands have relatively low unemployment rates while maintaining relatively generous socialinsurance programs for workers.In addition, some economists argue that tight monetary policy has at least something to do withthe high unemployment rates in Europe.b. Although the Euro will remove obstacles to free trade between European countries, each countrywill be forced to give up its own monetary policy.Dig Deeper3. a. The Chinese government has encouraged foreign firms to produce in China. Since foreign firmsare typically more productive than Chinese firms, the presence of foreign firms has lead to anincrease in Chinese productivity. The Chinese government has also encouraged joint venturesbetween foreign and Chinese firms. These joint ventures allow Chinese firms to learn from moreproductive foreign firms.b. The recent increase in U.S. productivity growth has been a result of the development andwidespread use of information technologies.c. The United States is a technological leader. Much of U.S. productivity growth is related to thedevelopment of new technologies. China is involved in technological catch-up. Much of Chineseproductivity growth is related to adopting existing technologies developed abroad.d. It’s not clear to what extent China provides a model for o ther developing countries. Highinvestment seems a good strategy for countries with little capital, and encouraging foreign firmsto produce (and participate in joint ventures) at home seems a good strategy for countries tryingto improve productivity. On the other hand, the degree to which China’s centralized political control has been important in managing the pace of the transition and in protecting property rightsof foreign firms remains open to question.4. a. 10 years: (1.018)10=1.195 or 19.5 % higher20 years: 42.9% higher50 years: 144% higherb. 10 years: 31.8 % higher20 years: 73.7 % higher50 years: 297.8% higherc. Take output per worker as a measure of the standard of living.10 years: 1.195/1.318=1.103, so the standard of living would be 10.3% higher;20 years: 21.6 % higher50 years: 63% higherd. No. Labor productivity growth fluctuates a lot from year to year. The last few years mayrepresent good luck. It is too soon to tell whether there has been a change in the trend observed since 1970.5. a. 13.2(1.034)t=2.8(1.088)tt = ln(13.2/2.8)/[ln(1.088/1.034)]t ≈ 30.5 yrsThis answer can be confirmed with a spreadsheet, for students unfamiliar with the use oflogarithms.b. No. At current growth rates, Chinese output will exceed U.S. output within 31 years, but Chineseoutput per person (the Chinese standard of living) will still be less than U.S. output per person. Explore Further6. a/c. As of February 2008, there had been 5 recessions (according to the traditional definition) since1960. Seasonally-adjusted annual percentage growth rates of GDP (in chained 2000 dollars) are given below.1969:4 -1.9 1981:4 -4.91970:1 -0.7 1982:1 -6.41974:3 -3.8 1990:4 -3.01974:4 -1.6 1991:1 -2.01975:1 -4.71980:2 -7.81980:3 -0.7With respect to the note on 2001, the growth rates for 2001 are given below.2001:1 -0.5%2001:2 1.2%2001:3 -1.4%2001:4 1.6%7. a-b. % point increase in the unemployment rate for the 5 recessions1969-70 0.7 1981-82 1.11974-75 3.1 1990-91 0.91980 0.6The unemployment rate increased by 1.5 percentage points between January 2001 andJanuary 2002.CHAPTER 2Quick Check1. a. True.b. True/Uncertain. Real GDP increased by a factor of 25; nominal GDP increased by afactor of 21. Real GDP per person increased by a factor of 4.c. False.d. True.e. False. The level of the CPI means nothing. The rate of change of the CPI is one measureof inflation.f. Uncertain. Which index is better depends on what we are trying to measure—inflationfaced by consumers or by the economy as a whole.g. False. The underground economy is large, but by far the majority of the measuredunemployed in Spain are not employed in the underground economy.2. a. No change. This transaction is a purchase of intermediate goods.b. +$100: personal consumption expendituresc. +$200 million: gross private domestic fixed investmentd. +$200 million: net exportse. No change. The jet was already counted when it was produced, i.e., presumably whenDelta (or some other airline) bought it new as an investment.3. a. The value of final goods =$1,000,000, the value of the silver necklaces.b. 1st Stage: $300,000. 2nd Stage: $1,000,00-$300,000=$700,000.GDP: $300,000+$700,000=$1,000,000.c. Wages: $200,000 + $250,000=$450,000.Profit: ($300,000-$200,000)+($1,000,000-$250,000-300,000)=$100,000+$450,000=$550,000.GDP: $450,000+$550,000=$1,000,000.4. a. 2006 GDP: 10($2,000)+4($1,000)+1000($1)=$25,0002007 GDP: 12($3,000)+6($500)+1000($1)=$40,000Nominal GDP has increased by 60%.b. 2006 real (2006) GDP: $25,0002007 real (2006) GDP: 12($2,000)+6($1,000)+1000($1)=$31,000Real (2006) GDP has increased by 24%.c. 2006 real (2007) GDP: 10($3,000)+4($500)+1,000($1)=$33,0002007 real (2007) GDP: $40,000.Real (2007) GDP has increased by 21.2%.d. The answers measure real GDP growth in different units. Neither answer is incorrect,just as measurement in inches is not more or less correct than measurement in centimeters.5. a. 2006 base year:Deflator(2006)=1; Deflator(2007)=$40,000/$31,000=1.29Inflation=29%b. 2007 base year:Deflator(2006)=$25,000/$33,000=0.76; Deflator(2007)=1Inflation=(1-0.76)/0.76=.32=32%c. Analogous to 4d.6. a. 2006 real GDP = 10($2,500) + 4($750) + 1000($1) = $29,0002007 real GDP = 12($2,500) + 6($750) + 1000($1) = $35,500b. (35,500-29,000)/29,000 = .224 = 22.4%c. Deflator in 2006=$25,000/$29,000=.86Deflator in 2007=$40,000/$35,500=1.13Inflation = (1.13 -.86)/.86 = .31 = 31%.d. Yes, see appendix for further discussion.Dig Deeper7. a. The quality of a routine checkup improves over time. Checkups now may include EKGs,for example. Medical services are particularly affected by this problem since there arecontinual improvements in medical technology.b. The new method represents a 10% quality increase.c. There is a 5% true price increase. The other 10% represents a quality increase. Thequality-adjusted price of checkups using the new method is only 5% higher thancheckups using the old method last year.d. You need to know the relative value of pregnancy checkups with and without ultra-sounds in the year the new method is introduced. Still, since everyone chooses the newmethod, we can say that the quality-adjusted price of checkups has risen by less than 15%.Some of the observed 15% increase represents an increase in quality.8. a. Measured GDP increases by $10+$12=$22. (Strictly, this involves mixing the finalgoods and income approaches to GDP. Assume here that the $12 per hour of workcreates a final good worth $12.)b. No. The true value of your decision to work should be less than $22. If you choose towork, the economy produces the value of your work plus a takeout meal. If you choosenot to work, presumably the economy produces a home-cooked meal. The extra outputarising from your choice to work is the value of your work plus any difference in valuebetween takeout and home-cooked meals. In fact, however, the value of home-cookedmeals is not counted in GDP. (Of course, there are other details. For example, the valueof groceries used to produce home-cooked meals would be counted in GDP. Putting suchdetails aside, however, the basic point is clear.)Explore Further9. a. Quarters 2000:III, 2001:I, and 2001:III had negative growth.b. The unemployment rate increased after 2000, peaked in 2003, and then began to fall. Theparticipation rate fell steadily over the period—from 67.1% in 2000 to 66% in 2004.Presumably, workers unable to find jobs became discouraged and left the labor force.c. Employment growth slowed after 2000. Employment actually fell in 2001. Theemployment-to-population ratio fell between 2000 and 2004.d. It several years after the recession for the labor market to recover.CHAPTER 3Quick Check1. a. True.b. False. Government spending excluding transfers was 19% of GDP.c. False. The propensity to consume must be less than one for our model to make sense.d. True.e. False.f. False. The increase in output is one times the multiplier.g. False.2. a. Y=160+0.6(Y-100)+150+150Y=1000b. Y D=Y-T=1000-100=900c. C=160+0.6(900)=7003. a. Equilibrium output is 1000. Total demand=C+I+G=700+150+150=1000. Total demandequals production. We used this equilibrium condition to solve for output.b. Output falls by (40 times the multiplier) = 40/(1-.6)=100. So, equilibrium output is now900. Total demand=C+I+G=160+0.6(800)+150+110=900. Again, total demand equalsproduction.c. Private saving=Y-C-T=900-160-0.6(800)-100=160. Public saving =T-G=-10. Nationalsaving (or in short, saving) equals private plus public saving, or 150. National savingequals investment. This statement is mathematically equivalent to the equilibriumcondition, total demand equals production. In other words, there is an alternative (andequivalent) equilibrium condition: national saving equals investment.Dig Deeper4. a. Y increases by 1/(1-c1)b. Y decreases by c1/(1-c1)c. The answers differ because spending affects demand directly, but taxes affect demandindirectly through consumption, and the propensity to consume is less than one.d. The change in Y equals 1/(1-c1) - c1/(1- c1)=1. Balanced budget changes in G and T arenot macroeconomically neutral.e. The propensity to consume has no effect because the balanced budget tax increase abortsthe multiplier process. Y and T both increase by one unit, so disposable income, andhence consumption, do not change.5. a. Y=c0+c1Y D+I+G impliesY=[1/(1-c1+c1t1)][c0-c1t0+I+G]b. The multiplier=1/(1-c1+c1t1)<1/(1-c1), so the economy responds less to changes inautonomous spending when t1is positive. After a positive change in autonomousspending, the increase in total taxes (because of the increase in income) tends to lessenthe increase in output. After a negative change in autonomous spending, the fall in totaltaxes tends to lessen the decrease in output.c. Because of the automatic effect of taxes on the economy, the economy responds less tochanges in autonomous spending than in the case where taxes are independent of income.Since output tends to vary less (to be more stable), fiscal policy is called an automaticstabilizer.6. a. Y=[1/(1-c1+c1t1)][c0-c1t0+I+G]b. T = t0 + t1[1/(1-c1+c1t1)][c0-c1t0+I+G]c. Both Y and T decrease.d. If G is cut, Y decreases even more. A balanced budget requirement amplifies the effectof the decline in c0. Therefore, such a requirement is destabilizing.7. a. In the diagram representing goods market equilibrium, the ZZ line shifts up. Outputincreases.b. There is no effect on the diagram or on output.c. The ZZ line shifts up and output increases. Effectively, the income transfer increases thepropensity to consume for the economy as a whole.d. The propensity to consume is likely to be higher for low-income taxpayers. Therefore,tax cuts will be more effective at stimulating output if they are directed toward low-income taxpayers.8. a. Y=C+I+GY=[1/(1-c1-b1)]*[c0-c1T+b0+G]b. Including the b1Y term in the investment equation increases the multiplier. Increases inautonomous spending now create a multiplier effect through two channels: consumptionand investment. For the multiplier to be positive, the condition c1+b1<1 is required.c. Output increases by b0 times the multiplier. Investment increases by the change in b0plus b1 times the change in output. The change in business confidence leads to anincrease in output, which induces an additional increase in investment. Since investmentincreases, and saving equals investment, saving must also increase. The increase inoutput leads to an increase in saving.Explore Further9. a. Output will fall.b. Since output falls, investment will also fall. Public saving will not change. Privatesaving will fall, since investment falls, and investment equals saving. Since output andconsumer confidence fall, consumption will also fall.c. Output, investment, and private saving would have risen.d. Clearly this logic is faulty. When output is low, what is needed is an attempt byconsumers to spend more. This will lead to an increase in output, andtherefore—somewhat paradoxically—to an increase in private saving. Note, however,that with a linear consumption function, the private saving rate (private saving divided byoutput) will fall when c0 rises.10. Answers will vary depending on when students visit the website.CHAPTER 4Quick Check1. a. False.b. False.c. False. Money demand describes the portfolio decision to hold wealth in the form ofmoney rather than in the form of bonds. The interest rate on bonds is relevant to thisdecision.d. True.e. False.f. False.g. True.h. True.2. a. i=0.05: money demand = $18,000i=0.10: money demand = $15,000b. Money demand decreases when the interest rate increases because bonds, which payinterest, become more attractive.c. The demand for money falls by 50%.d. The demand for money falls by 50%.e. A 1% increase (decrease) in income leads to a 1% increase (decrease) in money demand.This effect is independent of the interest rate.3. a. i=100/$P B–1; i=33%; 18%; 5% when $P B =$75; $85; $95.b. When the bond price rises, the interest rate falls.c. $P B=100/(1.08) ≈ $934. a. $20=M D=$100(.25-i)i=5%b. M=$100(.25-.15)M=$10Dig Deeper5. a. B D = 50,000 - 60,000 (.35-i)If the interest rate increases by 10 percentage points, bond demand increases by $6,000.b. An increase in wealth increases bond demand, but has no effect on money demand, whichdepends on income (a proxy for transactions demand).c. An increase in income increases money demand, but decreases bond demand, since weimplicitly hold wealth constant.d. First of all, the use of “money” in this statement is colloquial. “Income” should besubstituted for “money.” Second, when people earn more income, their wealth does notchange right away. Thus, they increase their demand for money and decrease theirdemand for bonds.6. Essentially, the reduction in the price of the bond makes it more attractive. A bond promisesfixed nominal payments. The opportunity to receive these fixed payments at a lower price makesa bond more attractive.7. a. $16 is withdrawn on each trip to the bank.Money holdings are $16 on day one; $12 on day two; $8 on day three; and $4 on dayfour.b. Average money holdings are ($16+$12+$8+$4)/4=$10.c. $8 is withdrawn on each trip to the bank.Money holdings are $8, $4, $8, and $4.d. Average money holdings are $6.e. $16 is withdrawn on each trip to the bank. Money holdings are $0, $0, $0, and $16.f. Average money holdings are $4.g. Based on these answers, ATMs and credit cards have reduced money demand.8. a. All money is in checking accounts, so demand for central bank money equals demand forreserves. Therefore, demand for central bank money=0.1($Y)(.8-4i).b. $100B = 0.1($5,000B)(.8-4i)i=15%c. Since the public holds no currency,money multiplier = 1/reserve ratio = 1/.1=10.M=(10)$100B=$1,000BM= M d at the interest derived in part (b).d. If H increases to $300B the interest rate falls to 5%.e. The interest rate falls to 5%, since when H equals $300B, M=(10)$300B=$3,000B.9. The money multiplier is 1/[c+θ(1-c)], where c is the ratio of currency to deposits and θ is the ratioof reserves to deposits. When c increases, as in the Great Depression, the money multiplier falls. Explore Further10. Answers will vary depending on when students visit the FOMC website.CHAPTER 5Quick Check1. a. True.b. True.c. False.d. False. The balanced budget multiplier is positive (it equals one), so the IS curve shiftsright.e. False.f. Uncertain. An increase in government spending leads to an increase in output (whichtends to increase investment), but also to an increase in the interest rate (which tends toreduce investment).g. True.2. a. Y=[1/(1-c1)][c0-c1T+I+G]The multiplier is 1/(1-c1).b. Y=[1/(1-c1-b1)][c0-c1T+b0-b2i+G]The multiplier is 1/(1-c1-b1). Since the multiplier is larger than the multiplier in part (a),the effect of a change in autonomous spending is bigger than in part (a). An increase inautonomous spending now leads to an increase in investment as well as consumption.c. Substituting for the interest rate in the answer to part (b),Y=[1/(1-c1-b1+b2d1/d2)][c0-c1T+b0+(b2/d2)(M/P)+G].The multiplier is 1/(1-c1-b1+b2d1/d2).d. The multiplier is greater (less) than the multiplier in part (a) if (b1-b2d1/d2) is greater (less)than zero. The multiplier as measured in part (c) measures the marginal effect of anincrease in autonomous spending on equilibrium output. As such, the multiplier is thesum of two effects: a direct effect of output on demand and an indirect effect of outputon demand via the interest rate. The direct effect is equivalent to the horizontal shift ofthe IS curve. The indirect effect depends on the slope of the LM curve (since theequilibrium moves along the LM curve in response to a shift of the IS curve) and theeffect of the interest rate on investment demand.The direct effect is captured by the sum c1+b1, which measures the marginal effect of anincrease in output on the sum of consumption and investment demand. As this sumincreases, the multiplier gets larger.The indirect effect is captured by the expression b2d1/d2 and tends to reduce the size ofthe multiplier. The ratio d1/d2is the slope of the LM curve, and the parameter b2measures the marginal effect of an increase in the interest rate on investment. Note thatthe slope of the LM curve becomes larger as money demand becomes more sensitive toincome (i.e., as d1increases) and becomes smaller as money demand becomes moresensitive to the interest rate (i.e., as d2 increases).3. a. The IS curve shifts left. Output and the interest rate fall. The effect on investment isambiguous because the output and interest rate effects work in opposite directions: thefall in output tends to reduce investment, but the fall in the interest rate tends toincrease it.b. From the answer to 2(c), Y=[1/(1-c1-b1+b2d1/d2)][c0-c1T+b0+(b2/d2)(M/P)+G].c From the LM relation, i=Y(d1/d2)–(M/P)/d2.To obtain the equilibrium interest rate, substitute for equilibrium Y from part (b).d. I= b0+b1Y-b2i=b0+(b1-b2d1/d2)Y+(b2/d2)(M/P)To obtain equilibrium investment, substitute for equilibrium Y from part (b).e. From part (b), holding M/P constant, equilibrium Y decreases by [1/(1-c1-b1+b2d1/d2)]when G decreases by one unit. From part (d), holding M/P constant, I decreases by(b1- b2d1/d2)/(1-c1-b1+b2d1/d2) when G decreases by one unit. So, if G decreases by oneunit, investment will increase when b1<b2d1/d2.f. A fall in G leads to a fall in output (which tends to reduce investment) and to a fall in theinterest rate (which tends to increase investment). Therefore, for investment to increase,the output effect (b1) must be smaller than the interest rate effect (b2d1/d2).Note that the interest rate is the product of two factors: (i) d1/d2, the slope of the LM curve,which gives the effect of a one-unit change in equilibrium output on the interest rate, and(ii) b2, which gives the effect of a one-unit change in the equilibrium interest rate oninvestment.4. a. Y=C+I+G=200+.25(Y-200)+150+.25Y-1000i+250Y=1100-2000ib. M/P=1600=2Y-8000ii=Y/4000-1/5c. Substituting from part (b) into part (a) gives Y=1000.d. Substituting from part (c) into part (b) gives i=5%.e. C=400; I=350; G=250; C+I+G=1000f. Y=1040; i=3%; C=410; I=380. A monetary expansion reduces the interest rate andincreases output. Consumption increases because output increases. Investment increasesbecause output increases and the interest rate decreases.g. Y=1200; i=10%; C=450; I=350. A fiscal expansion increases output and the interest rate.Consumption increases because output increases. Investment is affected in two ways:the increase in output tends to increase investment, and the increase in the interest ratetends to reduce investment. In this example, these two effects exactly offset one another,and investment does not change.Dig Deeper5. Firms deciding how to use their own funds will compare the return on bonds to the return oninvestment. When the interest rate on bonds increases, bonds become more attractive, and firms are more likely to use their funds to purchase bonds, rather than to finance investment projects. 6. a. If the interest rate were negative, people would hold only money, and not bonds. Moneywould be a better store of value than bonds.b. See hint.c. See hint.d. The increase the money supply has little effect on the interest rate. If the interest rate isactually zero, than the increase in the money supply literally has no effect.e. No. If there is no effect on the interest rate, which affects investment, monetary policycannot affect output.7. a. The reduction in T shifts the IS curve to the right. The increase in M shifts the LM curvedown. Output increases.b. The Clinton-Greenspan policy mix was (loosely) contractionary fiscal policy (IS left) andexpansionary monetary policy (LM down).c. In 2001, there was a recession, which was triggered by a fall in investment spendingfollowing the decline in the stock market. The events of September 11, which came afterthe recession had begun, had only a limited effect. In fact, the economy had positivegrowth in the fourth quarter of 2001. The expansionary monetary and fiscal policiestended to weaken the recession, but the policies came too late to avoid a recession.8. a. Increase G (or reduce T), which shifts the IS curve to the right, and increase M, whichshifts the LM curve down.b. Reduce G (or increase T), which shifts the IS curve to the left, and increase M, whichshifts the LM curve down. The interest rate falls. Investment increases, since theinterest rate falls while output remains constant.9. a. The IS curve shifts left. Output and the interest rate fall.b. Consumption falls. The change in investment is ambiguous: the fall in output tends toreduce investment, but the fall in the interest rate tends to increase investment. Thechange in private saving equals the change in investment. So, private saving could rise orfall in response to a fall in consumer confidence.Explore Further10. a. The fall in G and the increase in T shift the IS curve to the left. The increase in M shiftsthe LM curve down. The interest rate falls, and investment increases.b. Receipts rose, outlays fell, and the budget deficit fell.c. On September 4, 1992, the FOMC reduced the federal funds rate by 25 basis points.Subsequent changes in federal funds rate over the period 1993-2000 are given below.Changes in the Federal Funds RateSeptember 4, 1992 3 March 25, 1997 5.5February 4, 1994 3.25 September 29, 1998 5.25March 22, 1994 3.5 October 15, 1998 5April 18, 1994 3.75 November 17, 1998 4.75May 17, 1994 4.25 June 30, 1999 5August 16, 1994 4.75 August 24, 1999 5.25November 15, 1994 5.5 November 16, 1999 5.5February 1, 1995 6 February 2, 2000 5.75July 6, 1995 5.75 March 21, 2000 6December 19, 1995 5.5 May 16, 2000 6.5January 31, 1996 5.25d. Investment was 12.1% of GDP in 1992 and increased every year over the period to reach17.7% of GDP in 2000.e. Over the period 1993-2000, the average annual growth rate of GDP per person was2.49%. Over the period first four years of the period, the average annual growth rate was1.98%; over the second four years, the average annual growth rate was 3%.11. a. Growth was negative in 2000:III, 2001:I, and 2001:III.b. Investment had a bigger percentage change, and unlike consumption, growth ininvestment was negative for every quarter in 2000 and 2001, except 2000:II. Overallinvestment was generally more variable than nonresidential fixed investment in 2000 and2001. Moreover, nonresidential fixed investment had positive growth during 2000, butnegative growth in 2001.c. Investment had a substantially larger decline in its contribution to growth in 2000 and2001. The proximate cause of the recession of 2001 was a fall in investment demand.d. Investment fell in the last two quarters of 2001, but began growing again in the firstquarter of 2001. Consumption growth was slow for the first three quarters of 2001, butgrew rapidly in the fourth quarter. As mentioned in the text, the Fed reduced the federalfunds rate several times during the fourth quarter of 2001. Moreover, automobilemanufacturers offered large discounts. These actions may have helped to generate strongconsumer spending. In any event, it is clear that the events of September 11 did notcause the recession of 2001. The recession had started well before these events. CHAPTER 6Quick Check1. a. False. The participation rate has increased over time.b. False.c. False.d. True.e. False.f. Uncertain/False. The degree of bargaining power depends on the nature of the job andthe employee’s skills.g. True.h. False.2. a. (Monthly hires + monthly separations)/monthly employment =(4.4+4.6)/122=7%b. 1.4/6.2=23%c. (1.4+1.4)/6.2=45%. Duration is 1/.37 or 2.2 months.d. (3+2.8+1.4+1.4)/57.3=15%.e. new workers: 0.4/(3+1.4)=9%.3. a. W/P=1/(1+ )=1/1.05=.952b. Wage setting: u=1-W/P=4.8%c. W/P=1/1.1=.91; u=1-.91=9%. The increase in the markup lowers the real wage.Algebraically, from the wage-setting equation, the unemployment rate must rise for thereal wage to fall. So the natural rate increases. Intuitively, an increase in the markupimplies more market power for firms, and therefore less production, since firms will use。