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MACROECONOMICS?2010WorthPublishers,allrightsreservedSEVENTHEDITIONPowerPoint?SlidesbyRonCronovichN.GregoryMankiwCHAPTERConsumption17ModifiedforEC204byBobMurphyInthischapter,youwilllearn:anintroductiontothemostprominentworkonconsumption,including:JohnMaynardKeynes:consumptionandcurrentincomeIrvingFisher:intertemporalchoiceFrancoModigliani:thelife-cyclehypothesisMiltonFriedman:thepermanentincomehypothesisRobertHall:therandom-walkhypothesisDavidLaibson:thepullofinstantgratification3CHAPTER17
ConsumptionKeynes’sconjectures1.
0<MPC<12.
Averagepropensitytoconsume(APC
)
fallsasincomerises.
(APC=C/Y)3.
Incomeisthemaindeterminantof
consumption.4CHAPTER17
ConsumptionTheKeynesianconsumptionfunctionCY1cc=MPC=slopeoftheconsumptionfunction5CHAPTER17
ConsumptionTheKeynesianconsumptionfunctionCYslope=APCAsincomerises,consumerssaveabiggerfractionoftheirincome,soAPCfalls.6CHAPTER17
ConsumptionEarlyempiricalsuccesses:
ResultsfromearlystudiesHouseholdswithhigherincomes:consumemore,?
MPC>0savemore,?
MPC<1savealargerfractionoftheirincome,
?
APC
↓asY
↑Verystrongcorrelationbetweenincomeandconsumption:
?incomeseemedtobethemain
determinantofconsumption7CHAPTER17
ConsumptionProblemsforthe
KeynesianconsumptionfunctionBasedontheKeynesianconsumptionfunction,economistspredictedthatC
wouldgrowmoreslowlythanY
overtime.Thispredictiondidnotcometrue:Asincomesgrew,APCdidnotfall,
andC
grewatthesamerateasincome.SimonKuznetsshowedthatC/Y
was
verystableinlongtimeseriesdata.8CHAPTER17
ConsumptionTheConsumptionPuzzleCYConsumptionfunctionfromlongtimeseriesdata(constantAPC)Consumptionfunctionfromcross-sectionalhouseholddata(fallingAPC)9CHAPTER17
ConsumptionIrvingFisherandIntertemporalChoiceThebasisformuchsubsequentworkonconsumption.Assumesconsumerisforward-lookingandchoosesconsumptionforthepresentandfuturetomaximizelifetimesatisfaction.Consumer’schoicesaresubjecttoanintertemporalbudgetconstraint,
ameasureofthetotalresourcesavailableforpresentandfutureconsumption.10CHAPTER17
ConsumptionThebasictwo-periodmodelPeriod1:thepresentPeriod2:thefutureNotation
Y1,Y2=incomeinperiod1,2
C1,C2=consumptioninperiod1,2
S=Y1
?
C1=savinginperiod1 (S<0iftheconsumerborrowsinperiod1)11CHAPTER17
ConsumptionDerivingtheintertemporal
budgetconstraintPeriod2budgetconstraint:Rearrangeterms:Dividethroughby(1+r
)toget…12CHAPTER17
ConsumptionTheintertemporalbudgetconstraintpresentvalueoflifetimeconsumptionpresentvalueoflifetimeincome13CHAPTER17
ConsumptionTheintertemporalbudgetconstraintThebudgetconstraintshowsallcombinations
ofC1andC2thatjustexhausttheconsumer’sresources.C1C2Y1Y2BorrowingSavingConsumption=incomeinbothperiods14CHAPTER17
ConsumptionTheintertemporalbudgetconstraintTheslopeofthebudgetlineequals
?(1+r)C1C2Y1Y21(1+r
)15CHAPTER17
ConsumptionConsumerpreferencesAnindifferencecurveshows
allcombinationsofC1andC2
thatmaketheconsumer
equallyhappy.C1C2IC1IC2Higherindifferencecurvesrepresenthigherlevelsofhappiness.16CHAPTER17
ConsumptionConsumerpreferencesMarginalrateofsubstitution(MRS
):theamountofC2
theconsumer
wouldbewillingtosubstitutefor
oneunitofC1.C1C2IC1TheslopeofanindifferencecurveatanypointequalstheMRS
atthatpoint.1MRS17CHAPTER17
ConsumptionOptimizationTheoptimal(C1,C2)iswherethe
budgetline
justtouches
thehighestindifferencecurve.C1C2OAttheoptimalpoint,MRS=1+r18CHAPTER17
ConsumptionHowCrespondstochangesinYAnincrease
inY1orY2
shiftsthe
budgetlineoutward.C1C2Results:
Providedtheyarebothnormalgoods,C1andC2bothincrease,…regardlessofwhethertheincomeincreaseoccursinperiod1orperiod2.19CHAPTER17
ConsumptionKeynesvs.FisherKeynes:
Currentconsumptiondependsonlyon
currentincome.Fisher:
Currentconsumptiondependsonlyon
thepresentvalueoflifetimeincome.
Thetimingofincomeisirrelevant
becausetheconsumercanborroworlendbetweenperiods.20CHAPTER17
ConsumptionAHowCrespondstochangesinrAnincreaseinrpivotsthebudgetlinearoundthe
point(Y1,Y2
).C1C2Y1Y2ABAsdepictedhere,
C1fallsandC2
rises.However,itcouldturnoutdifferently…21CHAPTER17
ConsumptionHowCrespondstochangesinrincomeeffect:Ifconsumerisasaver,
theriseinr
makeshimbetteroff,whichtendstoincreaseconsumptioninbothperiods.substitutioneffect:Theriseinrincreases
theopportunitycostofcurrentconsumption,
whichtendstoreduceC1andincreaseC2.Botheffects?↑C2. WhetherC1risesorfallsdependsontherelativesizeoftheincome&substitutioneffects.22CHAPTER17
ConsumptionConstraintsonborrowingInFisher’stheory,thetimingofincomeisirrelevant:Consumercanborrowandlendacrossperiods.Example:Ifconsumerlearnsthatherfutureincomewillincrease,shecanspreadtheextraconsumptionoverbothperiodsbyborrowinginthecurrentperiod.However,ifconsumerfacesborrowingconstraints(aka“l(fā)iquidityconstraints”),thenshemaynotbeabletoincreasecurrentconsumption …andherconsumptionmaybehaveasintheKeynesiantheoryeventhoughsheisrational&forward-looking.23CHAPTER17
ConsumptionConstraintsonborrowingThebudgetlinewithnoborrowingconstraintsC1C2Y1Y224CHAPTER17
ConsumptionConstraintsonborrowingTheborrowingconstrainttakestheform:C1
≤
Y1C1C2Y1Y2Thebudgetlinewithaborrowingconstraint25CHAPTER17
ConsumptionConsumeroptimizationwhentheborrowingconstraintisnotbindingTheborrowingconstraintisnotbindingiftheconsumer’s
optimalC1
islessthanY1.C1C2Y126CHAPTER17
ConsumptionConsumeroptimizationwhentheborrowingconstraintisbindingTheoptimalchoiceisatpointD.Butsincetheconsumercannotborrow,thebesthecandoispointE.C1C2Y1DE27CHAPTER17
ConsumptionTheLife-CycleHypothesisduetoFrancoModigliani(1950s)Fisher’smodelsaysthatconsumptiondependsonlifetimeincome,andpeopletrytoachievesmoothconsumption.TheLCHsaysthatincomevariessystematicallyoverthephasesoftheconsumer’s“l(fā)ifecycle,” andsavingallowstheconsumertoachievesmoothconsumption.28CHAPTER17
ConsumptionTheLife-CycleHypothesisThebasicmodel:
W=initialwealth
Y=annualincomeuntilretirement (assumedconstant)
R=numberofyearsuntilretirement
T=lifetimeinyearsAssumptions:zerorealinterestrate(forsimplicity)consumption-smoothingisoptimal29CHAPTER17
ConsumptionTheLife-CycleHypothesisLifetimeresources=W+RYToachievesmoothconsumption,
consumerdividesherresourcesequallyovertime:
C=(W+RY)/T,or
C=αW+
βY
whereα=(1/T)isthemarginalpropensityto
consumeoutofwealthβ=(R/T)isthemarginalpropensitytoconsumeoutofincome30CHAPTER17
ConsumptionImplicationsoftheLife-CycleHypothesisTheLCHcansolvetheconsumptionpuzzle:Thelife-cycleconsumptionfunctionimplies
APC=C/Y=α(W/Y)+
β
Acrosshouseholds,incomevariesmorethanwealth,sohigh-incomehouseholdsshouldhavealowerAPCthanlow-incomehouseholds.Overtime,aggregatewealthandincomegrowtogether,causingAPCtoremainstable.31CHAPTER17
ConsumptionImplicationsoftheLife-CycleHypothesisTheLCHimpliesthatsavingvariessystematicallyoveraperson’slifetime.SavingDissavingRetirement
beginsEnd
oflifeConsumptionIncome$Wealth32CHAPTER17
ConsumptionSavingandtheThreatofNuclearWar33CHAPTER17
ConsumptionThePermanentIncomeHypothesisduetoMiltonFriedman(1957)Y=Y
P+Y
T whereY= currentincomeY
P= permanentincome
averageincome,whichpeopleexpecttopersistintothefutureY
T= transitoryincome
temporarydeviationsfromaverageincome34CHAPTER17
ConsumptionThePermanentIncomeHypothesisConsumersusesaving&borrowingtosmoothconsumptioninresponsetotransitorychangesinincome.ThePIHconsumptionfunction:
C=α
Y
P
whereαisthefractionofpermanentincomethatpeopleconsumeperyear.35CHAPTER17
ConsumptionThePIHcansolvetheconsumptionpuzzle:ThePIHimplies
APC=C
/
Y=α
Y
P/
Y
Ifhigh-incomehouseholdshavehighertransitoryincomethanlow-incomehouseholds,
APCislowerinhigh-incomehouseholds.Overthelongrun,incomevariationisduemainly(ifnotsolely)tovariationinpermanentincome,whichimpliesastableAPC.ThePermanentIncomeHypothesis36CHAPTER17
ConsumptionThe1975TaxRebate37CHAPTER17
ConsumptionThe1975TaxRebate38CHAPTER17
ConsumptionThe1975TaxRebate39CHAPTER17
ConsumptionPIHvs.LCHBoth:peopletrytosmooththeirconsumption
inthefaceofchangingcurrentincome.LCH:currentincomechangessystematically
aspeoplemovethroughtheirlifecycle.PIH:currentincomeissubjecttorandom,transitoryfluctuations.Bothcanexplaintheconsumptionpuzzle.40CHAPTER17
ConsumptionTheRandom-WalkHypothesisduetoRobertHall(1978)basedonFisher’smodel&PIH,
inwhichforward-lookingconsumersbaseconsumptiononexpectedfutureincomeHalladdstheassumptionof
rationalexpectations,
thatpeopleuseallavailableinformation
toforecastfuturevariableslikeincome.41CHAPTER17
ConsumptionTheRandom-WalkHypothesisIfPIHiscorrectandconsumershaverationalexpectations,thenconsumptionshouldfollowarandomwalk:changesinconsumptionshould
beunpredictable.Achangeinincomeorwealththatwasanticipatedhasalreadybeenfactoredintoexpectedpermanentincome,
soitwillnotchangeconsumption.Onlyunanticipatedchangesinincomeorwealththatalterexpectedpermanentincome
willchangeconsumption.42CHAPTER17
ConsumptionImplicationoftheR-WHypothesisIfconsumersobeythePIH
andhaverationalexpectations,thenpolicychanges
willaffectconsumption
onlyiftheyareunanticipated.43CHAPTER17
ConsumptionDoConsumersAnticipateChangesinSocialSecurityBenefits?Benefitincreaseannouncedatleast6weekspriortotakingeffectConsumersshouldadjustconsumptionwhenlearnofincrease,notwhenreceiveitUsemonthlydataonconsumerspendingtotestRE-PIHpredictionisrejectedasconsumptionrespondstoactualchangesinbenefitsandnottoannouncedchangesMaybeduetoliquidityorborrowingconstraints,or,perhaps,failureofrationalexpectations44CHAPTER17
ConsumptionThePsychologyofInstantGratificationTheoriesfromFishertoHallassumethatconsumersarerationalandacttomaximizelifetimeutility.RecentstudiesbyDavidLaibsonandothersconsiderthepsychologyofconsumers.45CHAPTER17
ConsumptionThePsychologyofInstantGratificationConsumersconsiderthemselvestobeimperfectdecision-makers.Inonesurvey,76%saidtheywerenotsavingenoughforretirement.Laibson:The“pullofinstantgratification”explainswhypeopledon’tsaveasmuchasaperfectlyrationallifetimeutilitymaximizerwouldsave.46CHAPTER17
ConsumptionTwoquestionsandtimeinconsistency1.
Wouldyouprefer(A)acandytoday,or
(B)twocandiestomorrow?2.
Wouldyouprefer(A)acandyin100days,or
(B)twocandiesin101days?Instudies,mostpeopleanswered(A)to1and(B)to2.Apersonconfrontedwithquestion2maychoose(B).Butin100days,whenconfrontedwithquestion1,
thepullofinstantgratificationmayinducehertochangeheranswerto(A).47CHAPTER17
ConsumptionSummingupKeynes:consumptiondependsprimarilyoncurrentincome.Recentwork:consumptionalsodependsonexpectedfutureincomewealthinterestratesEconomistsdisagreeovertherelativeimportanceofthesefactors,borrowingconstraints,andpsychologicalfactors.ChapterSummary1. KeynesianconsumptiontheoryKeynes’c
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