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ExerciseforMacroeconomics
Chapter3
TRUE/FALSE
1.Thestandardoflivingofpeopleinacountryistheirpercapitaincome.
2.Diminishingreturnstolaborimpliesthateventuallythemarginalproductoflaborwillbecome
negative.
3.Themarginalproductofcapitalishowmuchoutputchangeswhencapitalincreasesbyoneunit.
4.Savingisincomethatisnotconsumed.
5.Realsavingequalsgrossinvestment.
MULTIPLECHOICE
1.Worldgrowthdatashowsthatfrom1960to2000:
a.theUSandotherOECDcountriesgrewatc.somecountriesparticularlyEastAsian
moderaterates.countriesgrewrapidly.
b.sub-SaharanAfricancountriesgrewatd.alloftheabove.
lowratesordeclined.
2.Worldgrowthdatarevealsthatfrom1960to2000:
a.theUSandotherOECDcountriesgrewatc.somecountriesparticularlyEastAsian
moderaterates.countriesgrewalowratesordeclined,
b.sub-SaharanAfricancountriesgrewd.alloftheabove.
rapidly.
3.Worldgrowthdatarevealsthatfrom1960to2000:
a.theUSandotherOECDcountriesc.somecountriesparticularlyEastAsian
stagnated.countriesgrewatlowornegativerates,
b.sub-SaharanAfricancountriesgrewatlowd.alloftheabove.
ornegativerates.
4.Worldgrowthdatarevealsthatfrom1960to2000:
a.allcountriesgrewatsimilarrates.c.somecountriesparticularlyEastAsian
countriesgrewrapidly.
b.sub-SaharanAfricancountriesgrewd.theUSandotherOECDcountries
moderately.stagnated.
5.TheUSandotherOECDcountrieshadhighlevelsofGDPperpersonin2000despitegrowingata
moderateratefrom1960to2000because:
a.ofexploitationofforeigncountries.c.theystolethewealthoflessdeveloped
countries.
b.theireconomieshadgrownatamoderated.alloftheabove.
rateforacenturyormore.
6.IfAintheproductionfunctionY=A?F(K,L)rises,then:
a.outputrisesforanylevelofKandL.c.themarginalproductofcapitalrises.
b.themarginalproductoflaborrises.d.alloftheabove.
7.AintheproductionfunctionY=A?F(K,L)is:
a.themarginalproductoflabor.c.themarginalproductofcapital,
b.thecapitaltolaborratio(K/L).d.theleveloftechnology.
8.Themarginalproductoflaboris:
a.howmuchoutputrisesforwhenlaborc.labordividedbycapital(L/K)
increasesoneunit.
b.capitaldividedbylabor(K/L).d.theleveloftechnology.
9.Themarginalproductofcapitalis:
a.AV".c.theslopeoftheproductionwhen
technologyandlaborareheldconstant.
b.thechangeinoutputforaunitchangeind.alloftheabove.
capital.
10.Diminishingmarginalproductofcapital(MPK)means:
a.outputrisesascapitalrises.c.outputrisesastheMPKrises.
b.theMPKeventuallyfallsascapitalrises,d.themarginalproductofcapitaleventually
becomesnegativeascapitalrises.
11.IntheproductionfunctionY=A?F(K,L),Lis:
a.leisure.c.themarginalproductoflabor.
b.labor.d.themarginalproductofleisure.
12.IntheproductionfunctionY=A?F(K,L),Yis:
a.goodY.c.themarginalproductofgoodY.
b.production.d.constantreturnstoscale.
13.AmongtheassumptionsmadeabouttheproductionfunctionY=A,(K,L)is:
a.diminishingmarginalproductoflabor.c.diminishingmarginalproductofcapital.
b.constantreturnstoscale.d.alloftheabove.
14.FortheproductionfunctionY=A?F(K,L)constantreturnstoscalemeans:
a.ifcapitalandlabordoubleoutputdoubles,c.themarginalproductsofcapitalandlabor
areconstant.
b.capitalandlaborincreaseataconstantd.technologyisconstant.
rate.
15.IftheproductionfunctionY=A?(K,L)isdividedbyL,then
a.(Y/L)=A*f(K/L).c.y=A?f(k).
b.outputpercapitaequalstechnologytimesd.alloftheabove.
afunctionofthecapitallaborratio.
16.Amongthecategoriesthegrowthrateisbrokendownintobygrowthaccountingis:
a.thegrowthrateoftechnology.c.thecapitallaborratio.
b.themarginalproductofcapital.d.alloftheabove.
17.GrowthaccountingshowsthatGDPgrowthdependson:
a.growthofthecapitalstock.c.governmentpurchases.
b.holdingenvironmentalpollutionincheck,d.havingareasonabledistributionof
income.
18.Growthaccountingshowsthateconomicgrowthdependson:
a.governmenttaxreceipts.c.loweringenvironmentalpollution.
b.thegrowthofthelaborforce.d.alloftheabove.
19.Growthaccountingshowsthateconomicgrowthdependson:
a.controllingenvironmentalpollution.c.increasesintechnology.
b.internationalcooperation.d.alloftheabove.
20.Growthaccountingshowsthateconomicgrowthdependson:
a.increasesintechnology.c.growthinthecapitalstock.
b.thegrowthofthelaborforce.d.alloftheabove.
21.Thegrowthaccountingformulais:
a.LY/Y=hA/A+)?(然/幻+c.YfAY=AfAA+a^(K/hK)+
(1-a)*(AZ/Z)
b.a+£=1d.Y=A?F(K,L)
22.Thelaborforceparticipationrateis:
a.thelaborforcedividedintopopulation.c.thelaborforcetimespopulation.
b.thelaborforcedividebypopulation.d.thelaborpopulationminusthelaborforce.
23.Ifacountryhasapopulationof100millionandalaborforceof60million,thenitslaborforce
participationrateis:
a.0.6.c.40million.
b.1.67d.60million.
24.Ifacountryhasapopulationof300millionandalaborforceof200million,thenitslaborforce
participationrateis:
a.0.67c.100million.
b.1.5d.200million.
25.Thechangeinthecapitalstockinaneconomydependson:
a.theeconomy'ssaving.c.theeconomy'sinvestment.
b.thechangeinbondprices.d.alloftheabove.
26.Inaclosedeconomywithnogovernmentsector,thechangeinthecapitalstockis:
a.netinvestmentlessdepreciation.c.grossinvestment.
b.grossinvestmentlessdepreciation.d.nominalsaving.
27.Inaclosedeconomywithnogovernmentsector,thechangeinthecapitalstockisequalto:
a.netinvestmentlessdepreciation.c.grossinvestment.
b.nominalsaving.d.realsaving.
28.Depreciationofthecapitalstockoccursdueto:
a.machinesdeteriorating.c.bondsfallinginvalue,
b.realestaterisinginvalue.d.alloftheabove.
29.Depreciationofthecapitalstockoccursdueto:
a.inflation.c.bondsfallinginvalue,
b.buildingsneedingrepair.d.alloftheabove.
30.Depreciationofthecapitalstockoccursdueto:
a.deflation.c.bondsfallinginvalue,
b.vehiclesrequiringnewparts.d.alloftheabove.
31.Depreciationofthecapitalstockoccursdueto:
a.machinesdeteriorating.c.buildingsneedingrepair,
b.vehiclesneedingparts.d.alloftheabove.
32.Ifthereare120machinesinaneconomyandthedepreciationrateis5%peryear,then:
a.depreciationis5machinesayear.c.depreciationis115machinesperyear,
b.depreciationis6machinesayear.d.depreciationis114machinesperyear.
33.Ifthereare120machinesinaneconomyandthedepreciationrateis10%peryear,thennextyear
thereare:
a.10oftheoriginalmachinesleft.c.108oftheoriginalmachinesleft.
b.12oftheoriginalmachinesleft.d.110oftheoriginalmachinesleft.
34.Theaverageproductofcapitalis:
a.LYIK.c.YILK.
b.Y/K.d.LYibK.
Figure3.1
Output
35.InFigure3.1theaverageproductofcapitalis:
a.rising.c.falling.
b.constant.d.unknown.
36.InFigure3.1themarginalproductofcapitalis:
a.rising.c.constant.
b.declining.d.unknown.
37.Figure3.1shows:
a.aproductionfunctionwithlaborandc.aproductionfunctionwithcapitaland
technologyconstant.technologyconstant.
b.aproductionfunctionwithcapitalandd.aproductionfunctionwithcapital,labor
laborconstant.andtechnologyconstant.
38.InthesteadystateoftheSolowgrowthmodel:
a.s?(y*—&*)=加氏*c.s(y*-飆*)》注k*
b.s?(y*〈卷尢*d.s-(y*)=*=0
39.IntheSolowgrowthmodeltheecc>nomyreachestheoptimalk*:
a.immediately.c.randomly.
b.overaperiodoftime.d.cyclically.
40.TheSolowgrowthmodelassumesunemploymentis:
a.zero.c.rising.
b.falling.d.constant.
41.TheSolowgrowthmodelignores:
a.theinternationalsector,c.changesinlaborforceparticipation.
b.theroleofgovernment.d.alloftheabove.
42.TheSolowgrowthmodelshowsthatthegrowthrateofrealGDPperworkerdependson:
a.thesavingrate,sc.thedepreciationrate,J.
b.thegrowthrateofthelaborforce,n.d.alloftheabove.
43.TheSolowgrowthmodelshowsthatthegrowthrateofrealGDPperworkerdependson:
a.thesavingrate,sc.therateofinflation.
b.governmentspending,G.d.alloftheabove.
44.TheSolowgrowthmodelshowsthatthegrowthrateofrealGDPperworkerdependson:
a.therateofgrowthofthemoneysupply.c.rateofgrowthofgovernmentdebt,
b.thegrowthrateofthelaborforce,n.d.alloftheabove.
45.TheSolowgrowthmodelshowsthatthegrowthrateofrealGDPperworkerdependson:
a.therateofgrowthofthemoneysupply.c.thedepreciationrate,J.
b.levelofoutputintheeconomy.d.alloftheabove.
46.IntheSolowgrowthmodeltheoptimalcapitaltolaborratio,K/L,iswhere:
a.s(5+n=s*(k/y).c.nJ+s=s*(y/k).
b.s(5+n=s*(y/k).d.sj+s=n*(y/k).
47.IntheSolowgrowthmodelthesteadystateiswhentheeconomyhas:
a.fullemployment.c.zeroinflation.
b.theoptimalcapitallaborratio,k*.d.alloftheabove.
48.DuringthetransitiontothesteadystateintheSolowgrowthmodel:
a.theoutputperworkerrises.c.therateofgrowthofcapitalrises.
b.laborforceparticipationrises.d.alloftheabove.
49.DuringthetransitiontothesteadystateintheSolowgrowthmodel:
a.theoutputperworkerfalls.c.therateofgrowthofcapitalfalls.
b.laborforceparticipationrises.d.alloftheabove.
50.DuringthetransitiontothesteadystateintheSolowgrowthmodel:
a.theoutputperworkerrises.c.therateofgrowthofcapitalfalls.
b.thecapitaltolaborratiorises.d.alloftheabove.
51.TheSolowresidualis:
a.thatpartofoutputgrowthnotattributedtoc.thatpartofoutputgrowthnotattributedto
laborforcegrowth.capitalstockgrowthandlaborforce
growth.
b.thatpartofoutputgrowthnotattributedtod.thegrowthinoutput.
capitalstockgrowth.
52.TheSolowresidualisthatpartofoutputgrowthattributedto:
a.thegrowthrateofthelaborforce.c.thegrowthrateofthecapitalstock.
b.thegrowthrateofoutput.d.thegrowrateoftechnology.
53.TheSolowresidual:
a.isnotdirectlyobservable.c.isattributedtocapitalstockgrowth.
b.attributedtolaborforcegrowth.d.isattributedtolaborforcegrowthand
capitalstockgrowth.
SHORTANSWER
1.Whatisaproductionfunction?
2.Whatdoconstantreturnstoscaleimply?
3.Whatisthegrowthaccountformulaandwhatdoesittellus?
4.Showwhyrealsavingequalsnetinvestment.
5.WhatisthekeyequationoftheSolowgrowthmodelandwhatdoesitsaytous?
ExerciseforMacroeconomics
Chapter4
TRUE/FALSE
1.Anincreaseinthedepreciationrateaffectsthesteady-statecapitalperworkerthesamewayasan
increaseinthepopulationgrowthrate.
2.Ifthesavingrateincreases,thentheoptimumlevelofcapitalperworkerfalls.
3.AnincreaseintechnologycausestherealGDPperworkertoincreaseduringthetransitiontothe
steady-state.
4.Anincreaseintechnologycausethegrowthinrealoutputperworkertobehigherinthelongrunor
steady-state.
5.TheSolowmodelofgrowthsaysthatpoorereconomiesshouldovertimeconvergetowardsricher
onesintermsofrealoutputputworker.
MULTIPLECHOICE
1.IntherevisedversionoftheSolowgrowthmodeltheoptimallevelofcapitalstockperworkerdepends
on:
a.thesavingrating.c.populationgrowthrate.
b.thedepreciationrate.d.alloftheabove.
2.IntherevisedversionoftheSolowgrowthmodeltheoptimallevelofthecapitalstockperworker
dependson:
a.monetarygrowth.c.thesavingrate.
b.governmentspending.d.alloftheabove.
3.IntherevisedversionoftheSolowgrowthmodeltheoptimallevelofthecapitalstockperworker
dependson:
a.monetarygrowth.c.appreciationinthestockmarket.
b.thedepreciationrate.d.alloftheabove.
4.IntherevisedversionoftheSolowgrowthmodeltheoptimallevelofthecapitalstockperworker
dependson:
a.thepopulationgrowthrate.c.inflation.
b.governmentspending.d.alloftheabove.
5.IntheSolowgrowthmodelasagrowingeconomytransitionstothesteadystate:
a.theaverageproductofcapitalfalls.c.theaverageproductoflaborfalls.
b.outputperworkerisconstant.d.thegrowthrateofcapitalisequaltozero.
6.IntheSolowgrowthmodelinthesteadystatethegrowthrateofcapitalperworker,k*,is:
a.rising.c.fluctuating.
b.falling.d.zero.
7.IntheSolowgrowthmodel,iftechnology,A,improves,theninthesteadystate:
a.outputperworkergrowsfaster.c.capitalperworkergrowsfaster.
b.outputperworkergrowsatthesamerate,d.alloftheabove,
zero.
8.IntheSolowgrowthmodel,ifthepopulationgrowthrate,n,increases,theninthesteadystate:
a.outputperworkergrowsslower.c.capitalperworkergrowsatthesamerate,
zero.
b.capitalperworkergrowsslower.d.alloftheabove.
9.IntheSolowgrowthmodel,ifthedepreciationrate,&increases,theninthesteadystate:
a.outputperworkergrowsatthesamerate,c.capitalperworkergrowsfaster,
zero.
b.outputperworkergrowsfaster.d.alloftheabove.
10.IntheSolowgrowthmodel,iflaborinput,L(0),increases,theninthesteadystate:
a.outputperworkergrowsfaster.c.capitalperworkergrowsfaster.
b.capitalperworkergrowsatthesamerate,d.alloftheabove.
zero.
11.IntheSolowgrowthmodelinthesteadystatethegrowthrateofoutputperworker,y*,is:
a.rising.c.constantatzero.
b.falling.d.fluctuating.
12.IfthesavingrateincreasesintheSolowgrowthmodel,thenduringthetransitiontothesteadystate:
a.thegrowthrateofcapitalperworkerwillc.thegrowthrateofcapitalperworkeris
increase.constant.
b.thegrowthrateofcapitalperworkerwilld.thegrowthrateofcapitalperworkeris
decrease.zero.
13.IfthesavingrateincreasesintheSolowgrowthmodel,theninthesteadystatethegrowthrateof
capitalperworkeris:
a.constant.c.zero.
b.unchanged.d.alloftheabove.
14.IfthesavingrateincreasesintheSolowgrowthmodel,theninthesteadystatethegrowthrateof
capitalperworkeris:
a.higher.c.lower.
b.unchanged.d.rising.
15.IfthesavingrateincreasesintheSolowgrowthmodel,theninthesteadystate:
a.capitalperworkerandthegrowthofc.capitalperworkerwillbehigherbutthe
capitalwillbehigher.growthrateofcapitalwillbelower.
b.capitalperworkerwillbehigherbutthed.capitalperworkerwillbelowerbutthe
growthrateofcapitalwillremainthegrowthrateofcapitalwillbehigher.
sameatzero.
16.IntheSolowgrowthmodelduringthetransitionanincreaseintechnology:
a.lowersthegrowthrateofcapitalperc.raisesthegrowthrateofcapitalper
worker.worker.
b.doesnotchangethegrowthrateofcapitald.causesthegrowthrateofcapitaltofallto
perworker.zeroperworker.
17.IntheSolowgrowthmodelduringthetransitionanincreaseintechnology:
a.lowersthegrowthrateofoutputperc.raisesthegrowthrateofoutputper
worker.worker.
b.doesnotchangethegrowthrateofoutputd.causesthegrowthrateofoutputper
perworker.workertofalltozero.
18.IntheSolowgrowthmodelduringthetransitionanincreaseintechnology:
lowersthegrowthrateofcapitalandc.raisesthegrowthrateofcapitalandoutput
outputperworker.perworker.
b.raisesthegrowthrateofcapitalperd.lowersthegrowthrateofcapitalper
workerandlowersthegrowthrateofworkerandraisesthegrowthrateof
outputperworker.outputperworker.
19.IntheSolowgrowthmodelintheshortrun,anincreaseinthelaborinputL(0):
a.increasesthegrowthrateofrealoutputperc.reducesthegrowthrateofcapitalper
worker.worker.
b.increasesse(y/k).d.decreasesStJ+n.
20.IntheSolowgrowthmodelintheshortrun,anincreaseinthelaborinputL(0),
a.decreasethegrowthrateofrealoutputperc.increasethegrowthrateofcapitalper
worker.worker.
b.increasess*(y/k).d.decreasesj+n.
21.IntheSolowgrowthmodelinthelongrunorsteadystate,anincreaseinthelaborinputL(0)will,
a.increasethecapitalstock.c.notaffectrealoutputperworker.
b.leadtoagrowthofthecapitalstockperd.alloftheabove.
workerofzero.
22.IntheSolowgrowthmodelinthelongrunorsteadystate,anincreaseinthelaborinputL(0)will,
a.decreasethecapitalstock.c.notchangerealoutputperworker.
b.leadtoapositivegrowthofthecapitald.alloftheabove.
stockperworker.
Figure4.1
Determinants
ofAk/k
K/L=.
23.InFigure4.1thedistancebetweens,(y/k)andsj+nisthegrowthofcapitalperworker:
a.inthetransition.c.inthesteadystate.
b.inthelong-run.d.noneoftheabove.
24.InFigure4.1ifthesavingrateincreases,then
a.thecurvesj+nincreases.c.thecurves]+ndecreases.
b.thecurvesj+nbecomessteeper.d.thecurvesJ+nbecomesflatter.
25.InFigure4.1,ifthesavingrateincrease,then:
a.s?(y/k)increases.c.se(y/k)decreases.
b.se(y/k)getssteeper.d.se(y/k)becomesvertical.
26.InFigure4.1,ifthesavingrateincrease,then:
a.s*(y/k)ands(5+nincrease.c.s*(y/k)andsj+ndecrease.
b.s*(y/k)increaseswhilesj+ndecreases,d.s*(y/k)decreaseswhilesj+nincrease.
27.InFigure4.1,ifthetechnologyimproves,then:
a.s*(y/k)increases.c.s?(y/k)decreases.
b.sj+nincreases.d.sj4-ndecreases.
28.InFigure4.1,iftheinitialamountoflaborincreases,then:
a.s*(y/k)increases.c.sj+nincreases.
b.K/Lmovesawayfromtheoptimum.d.thegrowthrateofpopulationincreases.
29.InFigure4.1,iftheinitialamountoflaborincreases,theninthesteadystate:
a.thegrowthrateofcapitalperworkerc.thegrowthrateofoutputperworkeristhe
increases.same.
b.thegrowthrateofoutputperworkerrises,d.thepopulationgrowthraterises.
30.InFigure4.1,iftheinitialamountoflaborincreases,thenduringthetransitiontotheysteadystate:
a.thegrowthrateofcapitalperworkerandc.thegrowthrateofcapitalperworker
outputperworkerincrease.increasesandoutputperworkerdecrease.
b.thegrowthrateofcapitalperworkerandd.thegrowthrateofcapitalperworker
outputperworker.decrease.decreasesandoutputperworkerincreases.
31.InFigure4.1,ifthepopulationgrowthrateincreases,then:
a.s*(y/k)increases.c.sj+nincreases.
b.K/Lmovesawayfromtheoptimum.d.theinitialamountoflaborincreases.
32.InFigure4.1,anincreaseinproductivity:
a.raisesthesteadystategrowthrateofc.lowersthesteadystategrowthrateof
capitalperworker.outputperworker
b.doesnotchangesteady-stategrowthratesd.lowersthesteady-statelevelofcapital.
ofoutputorcapitalperworker.
33.InFigure4.1,anincreaseinthedepreciationratehasthesameeffectsas:
a.anincreaseinthesavingsrate.c.anincreaseinthepopulationgrowthrate.
b.anincreaseintheinitialamountoflabor,d.alloftheabove.
34.InFigure4.1,anincreaseintechnology:
a.increasess*(y/k)c.increasessj+n.
b.decreasess?(y/k)d.decreasessj+n.
35.InFigure4.1,anincreaseintechnology:
a.increasesk*.c.decreasesk*.
b.doesnotaffectk*.d.makesk*zero.
36.InFigure4.1,anincreaseinthepopulationgrowthrate:
a.increasesk*.c.decreasesk*.
b.doesnotaffectk*.d.makesk*zero.
37.InFigure4.1,anincreaseinthedepreciationrate:
a.increasesk*.c.decreasesk*.
b.doesnotaffectk*.d.makesk*zero.
38.InFigure4.1,ifthetechnologyimproves,then:
a.thesteady-statecapitalstockincreases.c.thesteady-stategrowthinoutputper
workerincreases.
b.thesteady-stategrowthincapitalperd.thepopulationgrowthrateincreases,
workerincreases.
39.ConvergenceofeconomiesisthetendencyaccordingtotheSolowgrowthmodelfor:
a.richercountriestobuyupallthecapitalinc.poorereconomiestogrowfasterinterms
poorercountries.ofrealGDPpercapitathanricher
countries.
b.richercountriestotenddeclineasd.thetendencyforrichereconomiesto
pollutiondamageincreases.shrinktothesizeofpoorereconomies.
40.Since1960thedatashowatendencyofoutputperworkertoconverge:
a.inallcountriesintheworld.c.inOECDcountries.
b.countrieswithdifferentsavingsrates.d.noneoftheabove.
41.Thedatashowatendencyofoutputperworkertoconverge:
a.amongUSStatesfrom1880to2000.c.inOECDcountriesfrom1960to2000.
b.countrieswithsimilareconomies.d.alloftheabove.
42.Convergencewillnothappenifeconomiesaroundtheworldhave:
a.differentsavingrates.c.differentpopulationgrowthrates.
b.differenttechnologies.d.alloftheabove.
43.Convergencewillnothappenifeconomiesaroundtheworldhave:
a.differentsavingrates.c.differentlevelsoutlaborinput.
b.differentaverageproductsofcapitalinthed.alloftheabove.
transition.
44.Convergencewillnothappenifeconomiesaroundtheworldhave:
a.differentcapitallaborratiosinduringthec.differentlevelsoutlaborinput,
transition.
b.differentpopulation
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