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MACROECONOMICS?2010WorthPublishers,allrightsreservedSEVENTHEDITIONPowerPoint?SlidesbyRonCronovichN.GregoryMankiwCHAPTERNationalIncome:WhereitComesFromandWhereitGoes3ModifiedforEC204byBobMurphyInthischapter,youwilllearn:whatdeterminestheeconomy’stotaloutput/incomehowthepricesofthefactorsofproductionaredeterminedhowtotalincomeisdistributedwhatdeterminesthedemandforgoodsandserviceshowequilibriuminthegoodsmarketisachievedCHAPTER3
NationalIncomeOutlineofmodelAclosedeconomy,market-clearingmodelSupplysidefactormarkets(supply,demand,price)determinationofoutput/incomeDemandsidedeterminantsofC,I,andGEquilibriumgoodsmarketloanablefundsmarket3CHAPTER3
NationalIncomeFactorsofproductionK=
capital:
tools,machines,andstructuresusedinproductionL=
labor:
thephysicalandmentaleffortsofworkers4CHAPTER3
NationalIncomeTheproductionfunction:Y=F(K,L)showshowmuchoutput(Y
)
theeconomycanproducefrom
K
unitsofcapitalandL
unitsoflaborreflectstheeconomy’sleveloftechnologyexhibitsconstantreturnstoscale5CHAPTER3
NationalIncomeReturnstoscale:AreviewInitiallyY1
=F
(K1
,
L1)Scaleallinputsbythesamefactorz:
K2=zK1andL2=zL1
(e.g.,ifz=1.2,thenallinputsareincreasedby20%)Whathappenstooutput,Y2=F(K2,
L2
)?Ifconstantreturnstoscale,Y2=zY1
Ifincreasingreturnstoscale,Y2>zY1
Ifdecreasingreturnstoscale,Y2<zY1
6CHAPTER3
NationalIncomeReturnstoscale:Example1constantreturnstoscaleforanyz>07CHAPTER3
NationalIncomeReturnstoscale:Example2decreasingreturnstoscaleforanyz>18CHAPTER3
NationalIncomeReturnstoscale:Example3increasingreturnstoscaleforany
z>19CHAPTER3
NationalIncomeAssumptionsTechnologyisfixed.Theeconomy’ssuppliesofcapitalandlaborarefixedat10CHAPTER3
NationalIncomeDeterminingGDPOutputisdeterminedbythefixedfactorsuppliesandthefixedstateoftechnology:11CHAPTER3
NationalIncomeThedistributionofnationalincomedeterminedbyfactorprices,
thepricesperunitfirmspayforthefactorsofproductionwage=priceofLrentalrate=priceofK12CHAPTER3
NationalIncomeNotationW
=nominalwageR
=nominalrentalrateP
=priceofoutputW
/P
=realwage
(measuredinunitsofoutput)R
/P
=realrentalrate13CHAPTER3
NationalIncomeHowfactorpricesaredeterminedFactorpricesaredeterminedbysupplyanddemandinfactormarkets.Recall:Supplyofeachfactorisfixed.Whataboutdemand?14CHAPTER3
NationalIncomeDemandforlaborAssumemarketsarecompetitive:
eachfirmtakesW,R,andPasgiven.Basicidea:
Afirmhireseachunitoflabor
ifthecostdoesnotexceedthebenefit.cost=realwagebenefit=marginalproductoflabor15CHAPTER3
NationalIncomeMarginalproductoflabor(MPL
)definition:
Theextraoutputthefirmcanproduce
usinganadditionalunitoflabor
(holdingotherinputsfixed):
MPL=F
(K,
L
+1)–
F
(K,
L)16CHAPTER3
NationalIncomeYoutputMPLandtheproductionfunctionLlabor1MPL1MPL1MPLAsmorelaborisadded,MPL↓SlopeoftheproductionfunctionequalsMPL17CHAPTER3
NationalIncomeDiminishingmarginalreturnsAsafactorinputisincreased,
itsmarginalproductfalls(otherthingsequal).Intuition:
Suppose↑LwhileholdingKfixed?fewermachinesperworker?lowerworkerproductivity18CHAPTER3
NationalIncomeMPLandthedemandforlaborEachfirmhireslabor
uptothepointwhereMPL=W/P.UnitsofoutputUnitsoflabor,LMPL,LabordemandRealwageQuantityoflabordemanded19CHAPTER3
NationalIncomeTheequilibriumrealwageTherealwageadjuststoequate
labordemandwithsupply.UnitsofoutputUnitsoflabor,LMPL,LabordemandequilibriumrealwageLabor
supply20CHAPTER3
NationalIncomeDeterminingtherentalrateWehavejustseenthatMPL=W/P.ThesamelogicshowsthatMPK=R/P:diminishingreturnstocapital:MPK
↓asK
↑TheMPKcurveisthefirm’sdemandcurve
forrentingcapital.FirmsmaximizeprofitsbychoosingK
suchthatMPK=R/P.21CHAPTER3
NationalIncomeTheequilibriumrealrentalrateTherealrentalrateadjuststoequate
demandforcapitalwithsupply.UnitsofoutputUnitsofcapital,KMPK,demandforcapitalequilibriumR/PSupplyofcapital22CHAPTER3
NationalIncomeTheNeoclassicalTheoryofDistributionstatesthateachfactorinputispaiditsmarginalproductagoodstartingpointforthinkingaboutincomedistribution23CHAPTER3
NationalIncomeHowincomeisdistributedtoLandKtotallaborincome=Ifproductionfunctionhasconstantreturnstoscale,thentotalcapitalincome=labor
incomecapital
incomenational
income24TheratiooflaborincometototalincomeintheU.S.,1960-2007Labor’sshareoftotalincomeLabor’sshareofincome
isapproximatelyconstantovertime.
(Thus,capital’sshareis,too.)CHAPTER3
NationalIncomeTheCobb-DouglasProductionFunctionTheCobb-Douglasproductionfunctionhasconstantfactorshares:
α=capital’sshareoftotalincome:capitalincome=MPKxK=α
Ylaborincome=MPLxL=(1–α)YTheCobb-Douglasproductionfunctionis:
whereArepresentstheleveloftechnology.26CHAPTER3
NationalIncomeTheCobb-DouglasProductionFunctionEachfactor’smarginalproductisproportionaltoitsaverageproduct:27CHAPTER3
NationalIncomeLaborproductivityandwagesTheory:wagesdependonlaborproductivityU.S.data:periodproductivitygrowthrealwagegrowth1959-20072.1%2.0%1959-19732.8%2.8%1973-19951.4%1.2%1995-20072.5%2.4%28CHAPTER3
NationalIncomeOutlineofmodelAclosedeconomy,market-clearingmodelSupplysidefactormarkets(supply,demand,price)determinationofoutput/incomeDemandsidedeterminantsofC,I,andGEquilibriumgoodsmarketloanablefundsmarketDONEDONE
Next29CHAPTER3
NationalIncomeDemandforgoods&servicesComponentsofaggregatedemand:C=consumerdemandforg&sI=demandforinvestmentgoodsG=governmentdemandforg&s
(closedeconomy:noNX)30CHAPTER3
NationalIncomeConsumption,Cdef:Disposableincomeistotalincomeminustotaltaxes:Y–T.Consumptionfunction:C=C
(Y–T
)
Showsthat↑(Y–T
)?
↑C
def:Marginalpropensitytoconsume(MPC)
isthechangeinCwhendisposableincomeincreasesbyonedollar.31CHAPTER3
NationalIncomeTheconsumptionfunctionCY–TC
(Y–T)1MPCTheslopeoftheconsumptionfunctionistheMPC.32CHAPTER3
NationalIncomeInvestment,ITheinvestmentfunctionisI
=I
(r
),
whererdenotestherealinterestrate,
thenominalinterestratecorrectedforinflation.Therealinterestrateisthecostofborrowingtheopportunitycostofusingone’sownfundstofinanceinvestmentspending
So,↑r
?
↓I
33CHAPTER3
NationalIncomeTheinvestmentfunctionrII
(r
)Spendingoninvestmentgoods
dependsnegativelyontherealinterestrate.34CHAPTER3
NationalIncomeGovernmentspending,GG=govtspendingongoodsandservices.Gexcludestransferpayments
(e.g.,socialsecuritybenefits,
unemploymentinsurancebenefits).Assumegovernmentspendingandtotaltaxesareexogenous:35CHAPTER3
NationalIncomeThemarketforgoods&servicesAggregatedemand:
Aggregatesupply:
Equilibrium:
Therealinterestrateadjusts
toequatedemandwithsupply.36CHAPTER3
NationalIncomeTheloanablefundsmarketAsimplesupply-demandmodelofthefinancialsystem.Oneasset:“l(fā)oanablefunds”demandforfunds:
investmentsupplyoffunds:
saving“price”offunds:
realinterestrate37CHAPTER3
NationalIncomeDemandforfunds:InvestmentThedemandforloanablefunds…comesfrominvestment:
Firmsborrowtofinancespendingonplant&equipment,newofficebuildings,etc.Consumersborrowtobuynewhouses.dependsnegativelyonr,
the“price”ofloanablefunds
(costofborrowing).38CHAPTER3
NationalIncomeLoanablefundsdemandcurverII
(r
)Theinvestmentcurveisalsothedemandcurveforloanablefunds.39CHAPTER3
NationalIncomeSupplyoffunds:SavingThesupplyofloanablefundscomesfromsaving:Householdsusetheirsavingtomakebankdeposits,purchasebondsandotherassets.Thesefundsbecomeavailabletofirmstoborrowtofinanceinvestmentspending.Thegovernmentmayalsocontributetosaving
ifitdoesnotspendallthetaxrevenueitreceives.40CHAPTER3
NationalIncomeTypesofsavingprivatesaving
=(Y–T
)–Cpublicsaving
=T–Gnationalsaving,S
=privatesaving+publicsaving=(Y–T)–C+T–G
=Y–C–G41CHAPTER3
NationalIncomeNotation:
Δ=changeinavariableForanyvariableX,ΔX=“thechangeinX”
ΔistheGreek(uppercase)letterDeltaExamples:IfΔL=1andΔK=0,thenΔY=MPL. Moregenerally,ifΔK=0,thenΔ(Y?T)
=ΔY?
ΔT,so
ΔC =MPC×
(ΔY?
ΔT) =MPC
ΔY?
MPC
ΔT42CHAPTER3
NationalIncomeBudgetsurplusesanddeficitsIfT>G,budgetsurplus
=(T–G
)
=publicsaving.IfT<G,budgetdeficit
=(G–T
)
andpublicsavingisnegative.IfT=G
,“balancedbudget,”publicsaving=0.TheU.S.governmentfinancesitsdeficitbyissuingTreasurybonds–i.e.,borrowing.43U.S.FederalGovernmentSurplus/Deficit,1940-2007U.S.FederalGovernmentDebt,
1940-2007Fact:Intheearly1990s,about18centsofeverytaxdollarwenttopayinterestonthedebt.
(In2007,itwasabout10cents)CHAPTER3
NationalIncomeLoanablefundssupplycurverS,INationalsavingdoesnotdependonr,
sothesupplycurveisvertical.46CHAPTER3
NationalIncomeLoanablefundsmarketequilibriumrS,II
(r
)EquilibriumrealinterestrateEquilibriumlevelofinvestment47CHAPTER3
NationalIncomeThespecialroleofrradjuststoequilibratethegoodsmarketandtheloanablefundsmarketsimultaneously:
IfL.F.marketinequilibrium,then
Y–C–G
=I
Add(C
+G
)tobothsidestoget
Y=C+I+G
(goodsmarketeq’m)Thus,Eq’minL.F.marketEq’mingoodsmarket48CHAPTER3
NationalIncomeDigression:MasteringmodelsTomasteramodel,besuretoknow:1.
Whichofitsvariablesareendogenousandwhichareexogenous.2.
Foreachcurveinthediagram,know:a.
definitionb.
intuitionforslopec.
allthethingsthatcanshiftthecurve3.
Usethemodeltoanalyzetheeffectsofeachitemin2c.49CHAPTER3
NationalIncomeMasteringtheloanablefundsmodelThingsthatshiftthesavingcurvepublicsavingfiscalpolicy:changesinGorTprivatesavingpreferencestaxlawsthataffectsaving401(k)IRAreplaceincometaxwithconsumptiontax50CHAPTER3
NationalIncomeCASESTUDY:
TheReagandeficitsReaganpoliciesduringearly1980s:increasesindefensespending:ΔG>0bigtaxcuts:ΔT<0Bothpoliciesreducenationalsaving:51CHAPTER3
NationalIncomeCASESTUDY:
TheReagandeficitsrS,II
(r
)r1I1r22. …whichcausestherealinterestratetorise…I23. …whichreducesthelevelofinvestment.1. Theincreaseinthedeficitreducessaving…52CHAPTER3
NationalIncomeArethedataconsistentwiththeseresults?
variable
1970s
1980s
T–G
–2.2
–3.9
S
19.6
17.4
r
1.1
6.3
I
19.9
19.4T–G,S,andIareexpressedasapercentofGDPAllfiguresareaveragesoverthedecadeshown.53CHAPTER3
NationalIncomeMasteringtheloanablefundsmodel,continuedThingsthatshifttheinvestmentcurve:sometechnologicalinnovationstotakeadvantagesomeinnovations,
firmsmustbuynewinvestmentgoodstaxlawsthataffectinvestmente.g.,investmenttaxcredit54CHAPTER3
NationalIncomeAnincreaseininvestmentdemandAnincrease
indesiredinvestment…rS,II1I2r1r2…raisestheinterestrate.Buttheequilibriumlevelofinvestmentcannotincreasebecausethe
supplyofloanable
fundsisfixed.55CHAPTER3
NationalIncomeSavingandtheinterestrateWhymightsavingdependonr?Howwouldtheresultsofanincreaseininvestmentdemandbedifferent?Wouldrriseasmuch?WouldtheequilibriumvalueofIchange?56CHAPTER3
NationalIncomeAnincreaseininvestmentdemandwhensavingdependsonrrS,II(r)I(r)2r1r2Anincreaseininvestmentdemandraisesr,whichinducesanincreaseinthequantityofsaving,whichallowsI
toincrease.I1I257CHAPTER3
NationalIncomeFYI:Markets,Intermediaries,the2008CrisisIntherealworld,firmshaveseveraloptionsforraisingfundstheyneedforinvestment,including:borrowfrombankssellbondstosaverssellsharesofstock(ownership)tosaversThefinancialsystemincludes:bondandstockmarkets,wheresaversdirectlyprovidefundstofirmsforinvestmentfinancialintermediaries,e.g.banks,insurancecompanies,mutualfunds,wheresaversindirectlyprovidef
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