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Inflation:ItsCauses,Effects,andSocialCostsMacroeconomicsN.GregoryMankiw©2019WorthPublishers,allrightsreservedINTHISCHAPTER,YOUWILLLEARN:TheclassicaltheoryofinflationCausesEffectssocialcosts“Classical”—assumespricesareflexibleandmarketsclearAppliestothelongrunU.S.inflationanditstrend,1960–2014,part1U.S.inflationanditstrend,1960–2014,part2ThequantitytheoryofmoneyAsimpletheorylinkingtheinflationratetothegrowthrateofthemoneysupply.Beginswiththeconceptofvelocity…Velocity,part1Basicconcept:therateatwhichmoneycirculatesDefinition:thenumberoftimestheaveragedollarbillchangeshandsinagiventimeperiodExample:In2018,$500billionintransactionsmoneysupply=$100billionTheaveragedollarisusedinfivetransactionsin2018So,velocity=5Velocity,part2Thissuggeststhefollowingdefinition:whereV
=velocityT
=valueofalltransactionsM
=moneysupplyVelocity,part3UsenominalGDPasaproxyfortotaltransactions.Then,whereP=priceofoutput(GDPdeflator)Y=quantityofoutput(realGDP)P×Y
=valueofoutput(nominalGDP)ThequantityequationThequantityequation
M×V=P×Yfollowsfromtheprecedingdefinitionofvelocity.Itisanidentity:itholdsbydefinitionofthevariables.Moneydemandandthequantityequation,part1M/P=realmoneybalances,thepurchasingpowerofthemoneysupply.Asimplemoneydemandfunction:(M/P)d=k
Y
where
k=howmuchmoneypeoplewishtoholdforeachdollarofincome.(kisexogenous)Moneydemandandthequantityequation,part2Moneydemand:(M/P)d
=k
Y
Quantityequation:M×V=P×YTheconnectionbetweenthem:k=1/VWhenpeopleholdlotsofmoneyrelative
totheirincomes(kislarge),moneychangeshandsinfrequently(V
issmall).BacktothequantitytheoryofmoneyStartswithquantityequationAssumesVisconstantandexogenous:Then,thequantityequationbecomes:Thequantitytheoryofmoney,part1Howthepricelevelisdetermined:WithVconstant,themoneysupplydeterminesnominalGDP(P×Y).RealGDPisdeterminedbytheeconomy’ssuppliesofKandLandtheproductionfunction(Chapter3).ThepricelevelisP
=(nominalGDP)/(realGDP).Thequantitytheoryofmoney,part2RecallfromChapter2:
Thegrowthrateofaproductequalsthesumofthegrowthrates.Thequantityequationingrowthrates:Thequantitytheoryofmoney,part3π(Greekletterpi)denotestheinflationrate:Theresultfromtheprecedingslide:Solvethisresultforπ:Thequantitytheoryofmoney,part4Normaleconomicgrowthrequiresacertainamountofmoneysupplygrowthtofacilitatethegrowthintransactions.Moneygrowthinexcessofthisamountleadstoinflation.Thequantitytheoryofmoney,part5ΔY/Ydependsongrowthinthefactorsofproductionandontechnologicalprogress(allofwhichwetakeasgiven,fornow).Hence,thequantitytheorypredictsaone-for-onerelationshipbetweenchangesinthemoneygrowthrateandchangesintheinflationrate.ConfrontingthequantitytheorywithdataThequantitytheoryofmoneyimplies:1. Countrieswithhighermoneygrowthrates
shouldhavehigherinflationrates.2. Thelong-runtrendinacountry’sinflationrateshouldbesimilartothelong-runtrendinthecountry’smoneygrowthrate.Arethedataconsistentwiththeseimplications?InternationaldataoninflationandmoneygrowthU.S.inflationandmoneygrowth,1960–2014,part1U.S.inflationandmoneygrowth,1960–2014,part2Inflationandmoneygrowth
havethesamelong-runtrendsasthequantitytheorypredicts.SeigniorageTospendmorewithoutraisingtaxesorsellingbonds,thegovernmentcanprintmoney.The“revenue”raisedfromprintingmoneyiscalledseigniorage(pronouncedSEEN-your-idge).Theinflationtax:
Printingmoneytoraiserevenuecausesinflation.Inflationislikeataxonpeoplewhoholdmoney.InflationandinterestratesNominalinterestrate,InotadjustedforinflationRealinterestrate,r
adjustedforinflation:r
=i
−πTheFishereffectTheFisherequation:
i=r+πChapter3:S=Ideterminesr
.Hence,anincreaseinπcausesanequalincreaseini.Thisone-for-onerelationshipiscalledtheFishereffect.U.S.inflationandnominalinterestrates,1955-2015Inflationandnominalinterestratesin48countriesNOWYOUTRY
ApplyingthetheorySupposeVisconstant,Misgrowing5%peryear,Yisgrowing2%peryear,andr=4.Solvefori.IftheFedincreasesthemoneygrowthrateby
2percentagepointsperyear,findΔi.SupposethegrowthrateofYfallsto1%peryear.Whatwillhappentoπ?WhatmusttheFeddoifitwishesto
keepπconstant?NOWYOUTRY
Applyingthetheory,answersVisconstant,Mgrows5%peryear,Y
grows2%peryear,r=4.First,findπ=5−2=3.Then,findi=r+π=4+3=7.Δi=2,thesameastheincreaseinthemoneygrowthrate.IftheFeddoesnothing,Δπ=1.Topreventinflationfromrising,theFedmustreducethemoneygrowthrateby1percentagepointperyear.TworealinterestratesNotation:π
=actualinflationrate(notknownuntilafterithasoccurred)Eπ=expectedinflationrateTworealinterestrates:i–Eπ=exanterealinterestrate:
therealinterestratepeopleexpectatthetimetheybuyabondortakeoutaloani–π=expost
realinterestrate:
therealinterestrateactuallyrealizedMoneydemandandthenominalinterestrateInthequantitytheoryofmoney,thedemandforrealmoneybalancesdependsonlyonrealincomeY.Anotherdeterminantofmoneydemand:
thenominalinterestratei.theopportunitycostofholdingmoney(insteadofbondsorotherinterest-earningassets).So,moneydemanddependsnegativelyoni.Themoneydemandfunction,part1(M/P
)d=realmoneydemand,dependsnegativelyoniiistheoppositecostofholdingmoneypositivelyonYhigherY
increasesspendingong&ssoincreasestheneedformoney(Lisusedforthemoneydemandfunctionbecausemoneyisthemostliquidasset.)Themoneydemandfunction,part2Whenpeoplearedecidingwhethertoholdmoneyorbonds,theydon’tknowwhatinflationwillturnouttobe.Hence,thenominalinterestraterelevantformoneydemandisr+Eπ.EquilibriumWhatdetermineswhat?HowPrespondstoΔMForgivenvaluesofr,Y,andEπ
,achangeinMcausesPtochangebythesamepercentage—justlikeinthequantitytheoryofmoney.Whataboutexpectedinflation?Overthelongrun,peopledon’tconsistentlyover-orunder-forecastinflation,
soEπ
=πonaverage.Intheshortrun,Eπ
maychangewhenpeoplegetnewinformation.Example:TheFedannouncesitwillincreaseMnextyear.Peoplewillexpectnextyear’sPtobehigher,soEπrises.ThisaffectsPnow,eventhoughMhasn’tchangedyet...How
P
respondstoΔEπForgivenvaluesofr,Y,andM,TheclassicalviewofinflationTheclassicalview:
Achangeinthepricelevelismerelyachangeintheunitsofmeasurement.Then,whyisinflationasocialproblem?NOWYOUTRY
DiscussionquestionWhyisinflationbad?Whatcostsdoesinflationimposeonsociety?Listallthecostsyoucanthinkof.Focusonthelongrun.Thinklikeaneconomist.AcommonmisperceptionCommonmisperception:
inflationreducesrealwagesThisistrueonlyintheshortrun,whennominalwagesarefixedbycontracts.(Chapter3)Inthelongrun,therealwageisdeterminedbylaborsupplyandthemarginalproductoflabor,notthepricelevelorinflationrate.Considerthedata...TheCPIandaveragehourlyearnings,1965–2015Thesocialcostsofinflation…fallintotwocategories:costswheninflationisexpectedcostswheninflationisdifferentfromwhatpeoplehadexpectedThecostsofexpectedinflation:1.ShoeleathercostDefinition:thecostsandinconveniencesofreducingmoneybalancestoavoidtheinflationtax.Ifπincreases,iincreases(why?),
sopeoplereducetheirrealmoneybalances.Remember:Inlongrun,inflationdoesnot
affectrealincomeorrealspending.Thesamemonthlyspendingbutloweraveragemoneyholdingsmeansmorefrequenttripstothebanktowithdrawsmalleramountsofcash.Thecostsofexpectedinflation:2.MenucostsDefinition:thecostsofchangingprices.Examples:costofprintingnewmenusandmailingoutcatalogstimespenttryingtodecideonwhatthenewpricesshouldbeThehigherisinflation,themorefrequentlyfirmsmustchangetheirpricesandincurthesecosts.Thecostsofexpectedinflation:3.RelativepricedistortionsFirmsfacingmenucostschangepricesinfrequently.Example:
AfirmissuesnewcatalogeachJanuary.
Asthegeneralpricelevelrisesthroughouttheyear,thefirm’srelativepricewillfall.Differentfirmschangetheirpricesatdifferenttimes,leadingtorelativepricedistortions......causingmicroeconomicinefficienciesintheallocationofresources.Thecostsofexpectedinflation:4.UnfairtaxtreatmentSometaxes,suchasthecapitalgainstax,arenotadjustedtoaccountforinflation.Example:Jan1:youbuy$10,000worthofApplestockDec31:yousellthestockfor$11,000,
soyournominalcapitalgainis$1,000(10%).Supposeπ=10%duringtheyear.
Yourrealcapitalgainis$0.Yet,youmustpaytaxesonyour$1,000nominalgain!Thecostsofexpectedinflation:5.GeneralinconvenienceInflationmakesithardertocomparenominalvaluesfromdifferenttimeperiods.Thiscomplicateslong-rangefinancialplanning.Thecostsofunexpectedinflation:ArbitraryredistributionofpurchasingpowerManylong-termcontractsarenotindexed
butarebasedonEπ.IfπturnsouttobedifferentfromEπ,thensomegainatothers’expense.Example:borrowersandlendersIfπ>Eπ,then(i
−π)<(i
−
Eπ
)
andpurchasingpoweristransferredfromlenderstoborrowers.Ifπ<E
π,thenpurchasingpoweristransferredfromborrowerstolenders.Additionalcostofhighinflation:IncreaseduncertaintyWheninflationishigh,it’smorevariableandunpredictable:π
turnsoutdifferentfromEπmoreoften,
andthedifferencestendtobelarger,thoughnotsystematicallypositiveornegative.So,arbitraryredistributionsofwealtharemorelikely.Thisincreasesuncertainty,makingrisk-aversepeopleworseoff.OnebenefitofinflationNominalwagesarerarelyreduced,evenwhentheequilibriumrealwagefalls.Thishinderslabormarketclearing.Inflationallowstherealwagestoreachequilibriumlevelswithoutnominalwagecuts.Therefore,moderateinflationimprovesthefunctioningoflabormarkets.HyperinflationCommondefinition:π
≥50%permonthAllthecostsofmoderateinflationdescribed
abovebecomeHUGE
underhyperinflation.Moneyceasestofunctionasastoreofvalue,anditmaynotserveitsotherfunctions(unitofaccount,mediumofexchange).Peoplemayconducttransactionswithbarterorastableforeigncurrency.Whatcauseshyperinflation?Hyperinflationiscausedbyexcessivemoneysupplygrowth.Whenthecentralbankprintsmoney,thepricelevelrises.Ifitprintsmoneyrapidlyenough,theresultishyperinflation.AfewexamplesofhyperinflationCountryPeriodCPIinflation%peryearM2growth%peryearIsrael1983-85338%305%Brazil1987-941,2561,451Bolivia1983-861,8181,727Ukraine1992-942,0891,029Argentina1988-902,6711,583Dem.RepublicofCongo/Zaire1990-963,0392,373Angola1995-964,1454,106Peru1988-905,0503,517Zimbabwe2005-075,3169,914WhygovernmentscreatehyperinflationWhenagovernmentcannotraisetaxesorsellbonds,itmustfinancespendingincreasesbyprintingmoney.Intheory,thesolutiontohyperinflationissimple:stopprintingmoney.Intherealworld,thisrequiresdrasticandpainfulfiscalrestraint.Theclassicaldichotomy,part1Realvariables:
measuredinphysicalunits—quantitiesandrelativeprices,forexample:quantityofoutputproducedrealwage:outputearnedperhourofworkrealinterestrate:outputearnedinthefuture
bylendingoneunitofoutputtodayTheclassicaldichotomy,part2Nominalvariables:
measuredinmoneyunits—forexample:nominalwage:dollarsperhourofworknominalinterestrate:dollarsearnedinthefuture
bylendingonedollartodaypricelevel:numberofdollarsneeded
tobuyarepresentativebasketofgoodsTheclassicaldichotomy,part3Recall:RealvariableswereexplainedinChapter3,nominalonesinChapter5.Classicaldichotomy:thetheoreticalseparationofrealandnominalvariablesintheclassicalmodel,whichimpliesnominalvariablesdonotaffectrealvariables.Neutralityofmoney:ideathatchangesinthemoneysupplydonotaffectrealvariables.Intherealworld,moneyisapproximatelyneutralinthelongrun.CHAPTERSUMMARY,PART1Velocity:theratioofnominalexpenditure
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