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AggregateDemandI:BuildingtheIS-LMModelMacroeconomicsN.GregoryMankiw©2019WorthPublishers,allrightsreservedINTHISCHAPTER,YOUWILLLEARN:AbouttheIScurveanditsrelationshipto:theKeynesiancrosstheloanablefundsmodelAbouttheLMcurveanditsrelationshipto:thetheoryofliquiditypreferenceHowtheIS–LMmodeldeterminesincomeandtheinterestrateintheshortrunwhenPisfixedContext,part1Chapter10introducedthemodelofaggregatedemandandaggregatesupply.Longrun:pricesflexibleoutputdeterminedbyfactorsofproductionandtechnologyunemploymentequalsitsnaturalrateShortrun:pricesfixedoutputdeterminedbyaggregatedemandunemploymentnegativelyrelatedtooutputContext,part2ThischapterdevelopstheIS–LMmodel,thebasisoftheaggregatedemandcurve.Wefocusontheshortrunandassumethepricelevelisfixed(sotheSRAScurveishorizontal).Chapters11and12focusontheclosed-economycase.Chapter13presentstheopen-economycase.TheKeynesiancrossAsimpleclosed-economymodelinwhichincomeisdeterminedbyexpenditure.
(duetoJ.M.Keynes)Notation:I
=plannedinvestmentPE
=C+I+G
=plannedexpenditureY
=realGDP=actualexpenditureDifferencebetweenactualandplannedexpenditure=unplannedinventoryinvestmentElementsoftheKeynesiancrossequilibriumcondition:GraphingplannedexpenditureGraphingtheequilibriumconditionTheequilibriumvalueofincomeAnincreaseingovernmentpurchasesAtY1,thereisnowanunplanneddropininventory......sofirmsincreaseoutput,andincomerisestowardanewequilibrium.SolvingforΔY(1of2)CollecttermswithΔY
ontheleftsideoftheequalssign:SolveforΔY
:Thegovernmentpurchasesmultiplierdefinition:theincreaseinincomeresultingfroma$1increaseinG.Inthismodel,thegovtpurchasesmultiplierequalsExample:IfMPC=0.8,thenAnincreaseinGcausesincometoincrease5timesasmuch!Whythemultiplierisgreaterthan1Initially,theincreaseinGcausesanequalincreaseinY:
ΔY
=ΔG.But
Ycauses
Cwhichcausesfurther
Y
whichthencausesfurther
Cwhichthencausesfurther
YSothefinalimpactonincomeismuchbiggerthantheinitialΔG.AnincreaseintaxesSolvingforΔY(2of2)Finalresult:Thetaxmultiplier,part1Definition:thechangeinincomeresultingfroma$1increaseinT:IfMPC=0.8,thenthetaxmultiplierequalsThetaxmultiplier,part2...isnegative:
AtaxincreasereducesC,whichreducesincome....isgreaterthanone
(inabsolutevalue):
Achangeintaxeshasamultipliereffectonincome....issmallerthanthegovtspendingmultiplier:
Consumerssavethefraction(1–MPC)ofataxcut,sotheinitialboostinspendingfromataxcutissmallerthanfromanequalincreaseinG.NOWYOUTRY
PracticewiththeKeynesiancrossUseagraphoftheKeynesiancrosstoshowtheeffectsofanincreaseinplannedinvestmentontheequilibriumlevelofincome/output.NOWYOUTRY
PracticewiththeKeynesiancross,answerAtY1,thereisnowanunplanneddropininventory......sofirmsincreaseoutput,andincomerisestowardanewequilibrium.TheIScurvedefinition:agraphofallcombinationsofrandYthatresultingoodsmarketequilibriumexample:actualexpenditure(output)
=plannedexpenditureTheequationfortheIScurveis:DerivingtheIScurveWhentheIScurveisnegativelyslopedAfallintheinterestratemotivatesfirmstoincreaseinvestmentspending,whichdrivesuptotalplannedspending(PE).Torestoreequilibriuminthegoodsmarket,output(a.k.a.actualexpenditure,Y)mustincrease.FiscalpolicyandtheIScurveWecanusetheIS–LMmodeltoseehowfiscalpolicy(GandT)affectsaggregatedemandandoutput.Let’sstartbyusingtheKeynesiancrosstoseehowfiscalpolicyshiftstheIScurve...ShiftingtheIS
curve:ΔGAtanyvalueofr,
G
PE
Y...sotheIScurveshiftstotheright.ThehorizontaldistanceoftheIS
shiftequalsNOWYOUTRY
ShiftingtheIScurve:ΔTUsethediagramoftheKeynesiancrossorloanablefundsmodeltoshowhowanincreaseintaxesshiftstheIScurve.Ifyoucan,determinethesizeoftheshift.NOWYOUTRY
ShiftingtheIScurve:ΔT,answerAtanyvalueofr,
T
C
PE...sotheIScurveshiftstotheleft.ThehorizontaldistanceoftheIS
curveshiftequalsThetheoryofliquiditypreferenceduetoJohnMaynardKeynesasimpletheoryinwhichtheinterestrateisdeterminedbymoneysupplyandmoneydemandMoneysupplyThesupplyofrealmoneybalancesisfixed:MoneydemandDemandforrealmoneybalances:EquilibriumHowtheFedraisestheinterestrateCASESTUDY:Monetarytighteningandinterestrates,part1Late1970s:π>10%Oct1979:FedChairPaulVolckerannouncesthatmonetarypolicywouldaimtoreduceinflationAug1979–April1980:FedreducesM/P
8.0%Jan1983:π=3.7%Howdoyouthinkthispolicychangewouldaffectnominalinterestrates?CASESTUDY:Monetarytighteningandinterestrates,part2TheeffectsofamonetarytighteningonnominalinterestratesShortrunLongrunModelLiquiditypreference(Keynesian)Quantitytheory,Fishereffect(classical)PricesStickyFlexiblePredictionΔi>0Δi<0Actualoutcome8/1979:i=10.4%4/1980:i=15.8%8/1979:i=10.4%1/1983:i=8.2%TheLM
curveNowlet’sputYbackintothemoneydemandfunction:TheLM
curve
isagraphofallcombinationsofr
andYthatequatethesupplyanddemandforrealmoneybalances.TheequationfortheLM
curveis:DerivingtheLMcurveTheIScurveandtheloanablefundsmodel(a)Theloanablefundsmodel(b)TheIS
curveWhytheLMcurveisupwardslopingAnincreaseinincomeraisesmoneydemand.Sincethesupplyofrealbalancesisfixed,thereisnowexcessdemandinthemoneymarketattheinitialinterestrate.Theinterestratemustrisetorestoreequilibriuminthemoneymarket.HowΔMshiftstheLMcurveNOWYOUTRY
ShiftingtheLMcurveSupposeawaveofcreditcardfraudcausesconsumerstousecashmorefrequentlyintransactions.UsetheliquiditypreferencemodeltoshowhowtheseeventsshifttheLMcurve.NOWYOUTRY
ShiftingtheLMcurve,answerTheshort-runequilibriumTheshort-runequilibriumisthecombinationofrandYthatsimultaneouslysatisfiestheequilibriumconditionsinthegoodsandmoneymarkets:ThebigpicturePreviewofChapter12InChapter12,wewillusetheIS–LMmodeltoanalyzetheimpactofpoliciesandshocks.learnhowtheaggregatedemandcurvecomesfromIS-LM.usetheIS–LMandAD–ASmodelstogethertoanalyzetheshort-runandlong-runeffectsofshocks.useourmodelstolearnabouttheGreatDepression.CHAPTERSUMMARY,PART1Keynesiancrossbasicmodelofincomedeterminationtakesfiscalpolicyandinvestmentasexogenousfiscalpolicyhasamultipliereffecton
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