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Lecture10
AggregateSupplyslide1ThreemodelsofaggregatesupplyThesticky-wagemodelTheimperfect-informationmodelThesticky-pricemodelAllthreemodelsimply:naturalrateofoutputapositiveparametertheexpectedpriceleveltheactualpricelevelagg.
outputslide2Thesticky-wagemodelAssumesthatfirmsandworkersnegotiatecontractsandfixthenominalwagebeforetheyknowwhatthepricelevelwillturnouttobe.Thenominalwage,W,theysetistheproductofatargetrealwage,,andtheexpectedpricelevel:slide3Thesticky-wagemodelIfitturnsoutthatthenunemploymentandoutputareattheirnaturalratesRealwageislessthanitstarget,sofirmshiremoreworkersandoutputrisesaboveitsnaturalrateRealwageexceedsitstarget,sofirmshirefewerworkersandoutputfallsbelowitsnaturalrateslide4slide5Thesticky-wagemodelImpliesthattherealwageshouldbecounter-cyclical,itshouldmoveintheoppositedirectionasoutputoverthecourseofbusinesscycles:Inbooms,whenPtypicallyrises,therealwageshouldfall.Inrecessions,whenPtypicallyfalls,therealwageshouldrise.Thispredictiondoesnotcometrueintherealworld:slide6ThecyclicalbehavioroftherealwagePercentagechangeinrealwagePercentagechangeinrealGDP1982197519931992196019961999199719981979197019801991197419901984200019721965-3-2-101237865443210-1-2-3-4-5slide7Theimperfect-informationmodelAssumptions:allwagesandpricesperfectlyflexible,
allmarketscleareachsupplierproducesonegood,consumesmanygoodseachsupplierknowsthenominalpriceofthegoodsheproduces,butdoesnotknowtheoverallpricelevelslide8Theimperfect-informationmodelSupplyofeachgooddependsonitsrelativeprice:thenominalpriceofthegooddividedbytheoverallpricelevel.Supplierdoesn’tknowpricelevelatthetimeshemakesherproductiondecision,sousestheexpectedpricelevel,P
e.SupposePrisesbutP
edoesnot. Thensupplierthinksherrelativepricehasrisen,sosheproducesmore. Withmanyproducersthinkingthisway,
YwillrisewheneverPrisesaboveP
e.slide9Thesticky-pricemodelReasonsforstickyprices:long-termcontractsbetweenfirmsandcustomersmenucostsfirmsdonotwishtoannoycustomerswithfrequentpricechangesAssumption:Firmssettheirownprices
(e.g.asinmonopolisticcompetition)slide10Thesticky-pricemodelAnindividualfirm’sdesiredpriceiswherea>0.Supposetwotypesoffirms:firmswithflexibleprices,setpricesasabovefirmswithstickyprices,mustsettheirpricebeforetheyknowhowPandYwillturnout:slide11Thesticky-pricemodelAssumefirmsw/stickypricesexpectthatoutputwillequalitsnaturalrate.Then,Toderivetheaggregatesupplycurve,wefirstfindanexpressionfortheoverallpricelevel.Letsdenotethefractionoffirmswithstickyprices.Then,wecanwritetheoverallpricelevelasslide12Thesticky-pricemodelSubtract(1s
)P
frombothsides:pricesetbyflexiblepricefirmspricesetbystickypricefirmsDividebothsidesbys
:slide13Thesticky-pricemodelHighPe
HighP
Iffirmsexpecthighprices,thenfirmswhomustsetpricesinadvancewillsetthemhigh.
Otherfirmsrespondbysettinghighprices.HighY
HighP
Whenincomeishigh,thedemandforgoodsishigh.Firmswithflexiblepricessethighprices. Thegreaterthefractionofflexiblepricefirms,
thesmallerissandthebiggeristheeffect
ofYonP.slide14Thesticky-pricemodelFinally,deriveASequationbysolvingforY
:slide15Thesticky-pricemodelIncontrasttothesticky-wagemodel,thesticky-pricemodelimpliesaprocyclicalrealwage:Supposeaggregateoutput/incomefalls.Then,Firmsseeafallindemandfortheirproducts.Firmswithstickypricesreduceproduction,andhencereducetheirdemandforlabor.Theleftwardshiftinlabordemandcausestherealwagetofall.slide16Summary&implicationsEachofthe
threemodelsofagg.supplyimplytherelationshipsummarizedby
theSRAScurve
&equationY
PLRASSRASslide17Summary&implicationsSupposeapositiveADshockmovesoutputaboveitsnaturalrate
andPabovethe
levelpeople
hadexpected.Y
PLRASSRAS1SRAS2AD1AD2Overtime,
Perises,
SRASshiftsup,
andoutputreturns
toitsnaturalrate.slide18Inflation,Unemployment,
andthePhillipsCurveThePhillipscurvestatesthatdependsonexpectedinflation,ecyclicalunemployment:thedeviationoftheactualrateofunemploymentfromthenaturalratesupplyshocks,
where>0isanexogenousconstant.slide19DerivingthePhillipsCurvefromSRASslide20ThePhillipsCurveandSRASSRAScurve:
outputisrelatedtounexpectedmovementsinthepricelevelPhillipscurve:
unemploymentisrelatedtounexpectedmovementsintheinflationrateslide21AdaptiveexpectationsAdaptiveexpectations:anapproachthatassumespeopleformtheirexpectationsoffutureinflationbasedonrecentlyobservedinflation.Asimpleexample:
Expectedinflation=lastyear’sactualinflationThen,theP.C.becomesslide22InflationinertiaInthisform,thePhillipscurveimpliesthatinflationhasinertia:Intheabsenceofsupplyshocksorcyclicalunemployment,inflationwillcontinueindefinitelyatitscurrentrate.Pastinflationinfluencesexpectationsofcurrentinflation,whichinturninfluencesthewages&pricesthatpeopleset.slide23Twocausesofrising&fallinginflationcost-pushinflation:inflationresultingfromsupplyshocks. Adversesupplyshockstypicallyraiseproductioncostsandinducefirmstoraiseprices,“pushing”inflationup.demand-pullinflation:inflationresultingfromdemandshocks. Positiveshockstoaggregatedemandcauseunemploymenttofallbelowitsnaturalrate,which“pulls”theinflationrateup.slide24GraphingthePhillipscurveIntheshort
run,policymakersfaceatrade-offbetween
andu.u
Theshort-runPhillipsCurveslide25ShiftingthePhillipscurvePeopleadjusttheirexpectationsovertime,sothetradeoffonlyholdsintheshortrun.u
E.g.,anincrease
ine
shiftstheshort-runP.C.upward.slide26ThesacrificeratioToreduceinflation,policymakerscan
contractagg.demand,causing
unemploymenttoriseabovethenaturalrate.Thesacrificeratiomeasures
thepercentageofayear’srealGDP
thatmustbeforegonetoreduceinflation
by1percentagepoint.Estimatesvary,butatypicaloneis5.slide27ThesacrificeratioSupposepolicymakerswishtoreduceinflationfrom6to2percent. Ifthesacrificeratiois5,thenreducinginflationby4pointsrequiresalossof45=20percentofoneyear’sGDP.Thiscouldbeachievedseveralways,e.g.reduceGDPby20%foroneyearreduceGDPby10%foreachoftwoyearsreduceGDPby5%foreachoffouryearsThecostofdisinflationislostGDP.OnecoulduseOkun’slawtotranslatethiscostintounemployment.slide28RationalexpectationsWaysofmodelingtheformationofexpectations:adaptiveexpectations:
Peoplebasetheirexpectationsoffutureinflationonrecentlyobservedinflation.rationalexpectations:
Peoplebasetheirexpectationsonallavailableinformation,includinginformationaboutcurrentandprospectivefuturepolicies.slide29Painlessdisinflation?Proponentsofrationalexpectationsbelieve
thatthesacrificeratiomaybeverysmall:Supposeu=u
nand=e
=6%, andsupposetheFedannouncesthatitwill
dowhateverisnecessarytoreduceinflation
from6to2percentassoonaspossible.Iftheannouncementiscredible,
thene
willfall,perhapsbythefull4points.Then,canfallwithoutanincreaseinu.slide30Thesacrificeratio
fortheVolckerdisinflation1981:=9.7% 1985:=3.0%yearuu
nuu
n19829.5%6.0%3.5%19839.56.03.519847.46.01.419857.16.01.1Total9.5%Totaldisinflation=6.7%slide31Thesacrificeratio
fortheVolckerdisinflationPreviousslide:inflationfellby6.7%totalof9.5%ofcyclicalunemploymentOkun’slaw:
each1percentagepointofunemploymentimplieslostoutputof2percentagepoints. So,the9.5%cyclicalunemploymenttranslatesto19.0%ofayear’srealGDP.Sacrificeratio=(lostGDP)/(totaldisinflation) =19/6.7=2.8percentagepointsofGDPwerelostforeach1percentagepointreductionininflation.slide32ThenaturalratehypothesisOuranalysisofthecostsofdisinflation,andofeconomicfluctuationsintheprecedingchapters,isbasedonthenaturalratehypothesis:Changesinaggregatedemand
affectoutputandemployment
onlyintheshortrun.Inthelongrun,
theeconomyreturnsto
thelevelsofoutput,employment,
andunemploymentdescribedby
theclassicalmodel(chapters3-8).slide33Analternativehypothesis:hysteresisHysteresis:thelong-lastinginfluenceofhistoryonvariablessuchasthenaturalrateofunemployment.Negativeshocksmayincrease
u
n,soeconomymaynotfullyrecover:Theskillsofcyclicallyunemployedworkersdeterioratewhileunemployed,andtheycannotfindajobwhentherecessionends.Cyclicallyunemployedworkersmaylosetheirinfluenceonwage-setting;insiders(employedworkers)maythenbargainforhigherwagesforthemselves.Then,thecyclicallyunemployed“outsiders”maybecomestructurall
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