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WORKING
PAPER23-4
What
caused
the
US
pandemic-erainflation?BenBernankeandOlivierBlanchardJune2023ABSTRACTWe
answerthequestionposedby
thetitleby
specifyingandestimatingasimpledynamicmodelofprices,wages,andshort-runandlong-runinflationexpectations.Theestimatedmodelallowsusto
analyzethedirectandindirecteffectsofproduct-marketandlabor-marketshocksonpricesandnominalwagesandto
quantifythesourcesofUSpandemic-erainflationandwage
growth.
We
findthat,contraryto
earlyconcernsthatinflationwouldbespurredby
overheatedlabormarkets,mostoftheinflationsurgethatbeganin2021wastheresultofshocksto
pricesgivenwages.Theseshocksincludedsharpincreasesincommodityprices,reflectingstrongaggregatedemand,andsectoralpricespikes,resultingfromchangesinthelevelandsectoralcompositionofdemandtogetherwithconstraintsonsectoralsupply.
However,
althoughtightlabormarketshave
thusfarnotbeentheprimarydriverofinflation,we
findthattheeffectsofoverheatedlabormarketsonnominalwage
growthandinflationare
morepersistentthantheeffectsofproduct-marketshocks.Controllinginflationwillthusultimatelyrequireachievingabetterbalancebetweenlabordemandandlaborsupply.BenBernankeisDistinguishedSeniorFellowattheHutchinsCenteronFiscalandMonetaryPolicyattheBrookingsInstitution.OlivierBlanchardistheC.FredBergstenSeniorFellowatthePetersonInstituteforInternationalEconomics.JELCodes:
E31,
E37,
E52,
E6,E24Keywords:
inflation,monetarypolicy,
aggregate
demand,
Beveridge
curve,commodity
prices,
shortages,
inflation
expectationsThe
BrookingsInstitutionisfinancedthrough
thesupportofa
diverse
array
offoundations,corporations,
governments,individuals,aswell
asanendowment.A
listofdonorscanbefoundintheirannualreports
publishedonlinehere.The
findings,interpretations,andconclusionsinthisreportare
solelythoseofitsauthor(s)andare
notinfluencedbyany
donation.Note:Thispaperwaspreparedforaconference
on
the
recent
inflationheldattheHutchinsCenteronFiscalandMonetaryPolicyattheBrookingsInstitutiononMay23,2023.IthasbeenpublishedasHutchinsCenterWorkingPaper#86here.TheauthorsthankDavidReifschneiderandElaineBuckbergforhelpfulinformation,andPeterDiamond,JasonFurman,JosephGagnon,PatrickHonohan,EgorGornostay,
DanielLeigh,MauriceObstfeld,LawrenceH.Summers,RichardClarida,ÁngelUbide,DavidVines,andDavidWilcox
fordiscussions.Excellentresearchassistancewasprovidedby
JamesLeeandAthianaTettaravou.
TheauthorsthanktheHutchinsCenter,
theBrookingsInstitution,andthePetersonInstituteforInternationalEconomics(PIIE)forsupport.Thispaperhasbeensubjectedto
aPIIEpre-publicationdatareplicabilityreview.©
2023
The
Brookings
Institution.Allrightsreserved.IntroductionCentralbankersand
mostoutsideeconomistsfailedto
predictthesharprisein
inflationthatbegan
in2021,andpolicymakers,bothintheUnitedStatesandinotheradvancedeconomies,wereaccordinglyslowtoreact.Actionwas
furtherdelayedbytheviewthattheinflationburstwouldbetemporary.Misjudgmentsoftheeconomiceffectsofcovid-erafiscalprogramsareonepotentialexplanationofthefailuretoforecastthesubsequentinflation.FederalOpenMarketCommittee(FOMC)forecastsofinflationchangedlittlebetweentheSeptember2020andJune2021iterationsoftheSurvey
ofEconomicProjections,andtheCommitteecontinuedtoexpectthatinflationwouldreturnclosetotheFed’s2percenttargetby2023,despitecongressionalpassageofabillinDecember2020thatincluded$900billionforcovidreliefandthe$1.9trillionAmericanRescuePlansignedbyPresidentBidenin
March2021.Thesetwoprograms
cameontop
ofthe$2.2
trillionCARESAct,passedinMarch2020andsignedbyPresidentTrump,whichhadalreadystrengthenedfirms’andhouseholds’balancesheetsand
increasedfutureabilitytospend.Overall,asashareofGDP,theheadlinecostsofthesethreecovid-erafiscalpackageswereabout4-1/2timesthesizeof
theAmericanRecoveryandReinvestmentAct(ARRA),enactedinresponseto
the2008financialcrisisandtheensuingrecession.1Accordingtoconventional
economictheory,expansionaryfiscalpoliciescanstokeinflationiftheycauselabormarketstobecomeoverheatedandoutputtoexceedtheeconomy’s
potential.
Indeed,someearlyanalysesoftheAmericanRescuePlanusingstandardfiscalmultipliersconcludedthattheadditionalfederalspendingwouldindeedoverheattheeconomy,possiblyleadingtohigherinflation(Blanchard,2021;
EdelbergandSheiner,2021).Thesestudies
acknowledgeduncertaintyaboutmagnitudes,asthefiscalimpactsonemployment,output,and
inflationwoulddependonmanyfactors,includingtheeffectsofthepandemiconpotentialoutput,thesizeoftheinitialoutputgap,households’propensitiestoconsumeoutoftheone-timechecksauthorizedbythebill,
andtherelationbetweenlabormarkettightness
andinflation.Inflationoptimists(ReifschneiderandWilcox
2022)arguedthat,evenifthenewfiscalspendingweretodrivedownunemploymentbymorethan
expected,a
largeburstofinflationwas
still
unlikely,asmanystudieshadconcludedthat
thePhillipscurveis
quiteflat(thatis,
inflationisrelativelyinsensitivetolabormarkettightness),and—inlightofmorethanthreedecadesoflowinflationin
theUnitedStates—inflationexpectations
werelikelytoremain
wellanchored.Incontrast,someeconomists(includingoneoftheauthors)arguedthatwageinflation,andconsequently
price
inflation,couldrise
muchmorethanpredictedbyconventionalcalculationspredicatedonaflatPhillipscurve(Summers,2021;
Blanchard,2021).Theirconcernswerethattheincreaseinaggregatedemandlikelytoresultfromtheunprecedentedlylargefiscaltransfers,togetherwiththecumulativeeffectsoftheeasing
ofmonetary
policybeguninMarch2020,could
causemoreoverheatingofanalready-tightlabormarketthan
theoptimistsexpected.AnextremelylowunemploymentratemightinturncausethePhillipscurvetosteepen.Moreover,higherand,consequently,morepsychologically...1.
Theheadlinecost
of
theCARESActandthe
December
supplementalappropriationspackagetogethertotaledabout15percent
ofgross
domestic
product(GDP)in2020,andtheAmerican
RescuePlanwas
roughly
8percent
of2021GDP.Bycomparison,theARRAof
2009wasslightlymorethan5percentofthatyear’sGDP.________________________________________________________________________What
Caused
the
U.S.
Pandemic
-Era
Inflation?1HUTCHINS
CENTER
ON
FISCAL
&
MONETARY
POLICYsalientlevelsofinflationmightleadinflationexpectationstode-anchor,raisingthe
potentialforawage-pricespiral.Thecritics’forecastsofhigherinflationwouldprovetobecorrect—indeed,eventoooptimistic—but,insubstantialpart,thesourcesoftheinflation,atleastinitsearlystages,wouldprovetobedifferentfromthosethey
warnedabout.Thelabormarketdidtightensignificantlyin
2021and
2022,asreflectedinseveralindicators,includingunsustainablyhigh
ratesofjobcreation,an
increasingratioofjob
openings2tounemployed
workers,and
lowlevelsofquits.
But,as
this
paperwillshow,thebehaviorof
nominalwages
in
2021and
2022wasbroadlyconsistentwiththerelationstheFedhad
reliedon,andmedium-terminflationexpectations
rosemodestly
bysomemeasuresbutdidnotde-anchor.Labormarketoverheatingwouldindeedultimatelyprovetobeasourceofpersistentinflation,as
thecritics
hadexpected,butthetraditionalwagePhillipscurvemechanismwasnotthemainevent,atleastnotuntilrecently.Inretrospect,thefailuretoforecasttheinflationburst
reflectedinlargepartthefactthat,infocusingonthelabormarket,boththeFedand
itscriticsunderestimatedtheinflationarypotentialofdevelopmentsin
goodsmarkets,thatis,
fromincreasesinprices
givenwages.Theshockstopricescamefromseveralsources.First,likeotherforecasters(includingparticipantsin
commodityfuturesmarkets),mosteconomistsdid
notanticipateeitherthemagnitudeorthedurationof
theriseincommodity
pricesthatbeganin
2021.Beyond
themore-familiar(butunexpectedlylargeandsustained)shocks
tofoodandenergyprices,thepandemicitselfledtounusualdistortionsinkey
productmarkets,suchasthosefornewandusedvehicles.Strongaggregatedemandandshifts
inthecompositionofconsumerspending(e.g.,fromservicestodurablegoods)duringthepandemiccombinedwithconstraintson
supplyinsomesectorstocreateshortages
andsectoralprice
increasesnotoffsetbydecreasesin
othersectors
(Guerrierietal.,2022;diGiovanniet
al.,2023).Thesesectoralmismatchesbetweendemand
andsupply
provedmoreintractableandlonger-lastingthanmany
hadexpected.Together,theseshockstopricesgivenwageswouldprove
tobethecriticaltriggersoftherise
in
inflation.This
isthestorywedevelopinthispaper.Westartwithasimpleanalyticalmodel,focusingonthebehaviorofwages,prices,
andshortandlong-runinflationexpectations,takinglabormarketslackandshockstopricesas
given.We
showtheverydifferentdynamiceffectson
wageandpriceinflationof
overheatinginthelabormarketand
price
shocksingoodsmarkets.Appreciatingthesedifferencesisessentialforunderstandingthe
changingrelativeimportanceofthetwosourcesofinflation,andbyimplication,theevolutionofinflationovertime.Wethenestimateanempiricalversionofthemodel,allowingforagenerouslag
structuretoaccommodateflexibledynamicsandestimatingitonthepre-covidperiod.Weexaminethestabilityofthewage,price,andshortandlong-runinflationexpectationsrelationsbetweenthepre-covidandcovidperiods,takingintoaccount
therolesoflabormarkettightness,energyandfoodpriceshocks,andsectoralshortages.Weusetheestimatedmodeltodecomposethesourcesofthepandemic-erainflationintotheeffectsofthevariousshocks.Ourdecompositioncapturesgeneral
equilibriumeffects,lags,andlinkagesamongalternativesourcesofinflationoperating
throughinflationexpectationsandotherchannels.Weconcludethat
labormarkettightnessmadeatmostamodestcontributiontoinflationearlyon,resolvingthepuzzleof
howinflationcouldrise
so
muchdespiteaflat
wagePhillipscurve.Instead,mostoftheearlyactionin
inflationcamefromthegoodsmarket,in
theformofsharp
increases
insome...2.
Bycontrast,theunemployment
rate,
whichremainedclosetoFOMCprojections,showedfewersigns
of
labor
markettightening.________________________________________________________________________What
Caused
the
U.S.
Pandemic
-Era
Inflation?2HUTCHINS
CENTER
ON
FISCAL
&
MONETARY
POLICYrelativeprices,includingcommoditypricesandpricesin
sectorsinwhichstrongdemandconfrontedlimitsonsupply.Totheextentthatcommodity
pricesstabilizeandsectoralshortagesmoderate—processesthatbothseemwelladvancedasofthiswriting(June2023)—thegoods
marketcomponentofinflationis
likelytodecreasein
importance,
andthelabormarketcomponenttobecomemoredominant.Lookingforward,withlabormarket
slackstillbelowsustainablelevelsand
inflationexpectationsmodestlyhigher,weconcludethattheFed
hastoslowtheeconomytoreturninflationtotarget.Theextentofthatslowingwilldepend
howeveron
theevolutionofcertainstructuralfeatures
ofthelabormarket,notablytheefficiencyoftheprocessofmatchingworkerswithjobs.1.
ABriefLiteratureReviewMuchrecent
workhas
providedempiricalanalysesofthepandemic-erainflation.Balletal(2022)istheclosesttoours,andwelearnedfromit.They
proposea
decompositionofinflationintoweightedmedianinflation(insteadoftheconventionalcoremeasureofinflation)andaresidual,equaltoheadlineinflationlessmedian
inflation.Their
useofmedianinflationratherthemoreconventional
measureofcoreinflationis
intendedtoremovelargepricespikes,duenotonlytothepricesofenergyandfood,whichcoreinflationdoes,butalsothoseduetosectoralshortages,whichhavemadethis
inflationepisodedifferentfromearlierones.They
findthattheincreaseinoverall
inflationresultedprimarilyfromshockstotheresidual(headlinelessmedian
inflation)butthatlabormarkettightnesshas
beenanimportantandincreasingcontributortomedianinflation.Theseconclusions
arebroadlyconsistentwithours,butdifferencesinsampleperiodandmodelspecification(e.g.,theirspecificationimpliesthattheeffectsoflabormarkettightness
arefeltonlygradually)leadthemtobegenerallymorepessimisticthanwe
areaboutthecostsofreversingtheinflationsurge.Cecchettietal(2023)studytherecentinflationandtheprospectsfordisinflationinahistoricalcontext.Aswedo,
they
provideastripped-downmodeloftheinflationprocess.However,incontrasttothelargelyunconstraineddynamicsthat
weallowintheempiricalmodelpresentedbelow,they
imposeatightNewKeynesianstructure.Theyarguethatnonlinearities
inthePhillipscurveareimportantforexplaininginflation(seealsoBenignoand
Eggertsson2023,
GagnonandSarsenbayev2022).Incontrast,wefindthatalinearrelationbetweenlabormarkettightnessand
wages,estimatedonpre-coviddata,fitsthecovid-eradatareasonablywellandisadequatetoexplaintherecentbehaviorofwages.Cecchettiet
alalsoconcludethat,basedonthehistoricalrecord,disinflationislikelytobecostly,andthey
faulttheFedforfailingtotightenpolicy
pre-emptively.GagliardoneandGertler(2023)focusonthemonetary-policyoriginsoftheinflation.UsingacalibratedDSGEmodeltostructuretheiranalysis,theyarguethattheFed’scommitmenttohighemploymentinthefaceofinflationaryoil
priceshocks
explainsthesharp
rise
inthe
paceof
priceincreases.GagliardoneandGertler’sattentiontooilpriceshocks
parallelsourownfocusonfactorsdirectlyaffectingpricesgivenwages.Their
main
contributionsconcerntheroleof
theFed’sreactionfunctionandpolicyframework
in
theover-expansionof
aggregatedemandduringtherecoveryfromthepandemic—animportanttopicbutnotthefocusofourownpaper.KochandNoureldin(2023)oftheInternational
MonetaryFundconductapost-mortemoftheirinstitution’sfailuretoforecastthe(global)inflation.Likeotherpapers
intheliterature,theirwork
findsanimportantrolefor
increasedaggregatedemandand,
especially,pandemic-inducedsupplyconstraintsinsettingofftheinflation.Theyalso
pointtoover-estimationofoutputgapsasa
factorleadingtoexcessivestimulus.However,they
paylimitedattentiontodynamics,andin
particulartheyplaceless________________________________________________________________________What
Caused
the
U.S.
Pandemic
-Era
Inflation?3HUTCHINS
CENTER
ON
FISCAL
&
MONETARY
POLICYweightthan
wewouldoncommodity
priceshocksandtheir
effectsonotherprices
andinflationexpectationsovertime.2.
ASimpleModelofWage-PriceDeterminationTohelp
interpretrecentinflation
developmentswithoutimposingtoomucha
prioristructure,weuseabare-bonesbutflexiblemodelofaggregatewage-pricedetermination.Ourapproachtoinflationisaggregative,or“topdown”;witha
partial
exceptiondiscussedinthenextsection,wedo
notconsider
themicroeconomicdeterminantsofsectoralpricechanges,e.g.,factorsaffectingthebehaviorofrentsorthedifferentialimpactofthepandemicondifferentindustries.Ourmodelreducestofourequations,whichjointlydeterminenominal
wages,prices,andshort-runandlong-run
inflationexpectations.Asalreadynoted,whenwetakethebare-bonesmodeltothedatainthenextsectionweincorporateamoreflexiblelagstructure,toallowforricherdynamics,and
includemeasuresofkeyshockstoproductandlabormarketstoaccountmoreexplicitlyfortheforcesaffectinginflation.ThewageequationWestartwithanaggregatewage
equation.We
makethestandardassumptionsthatnominalwagesdependontheexpected
pricelevelandthedegreeoflabormarketslack.Inadeparturefromthestandardspecification,wepursuethequestionof
whetherworkersacceptlossesin
purchasingpowerresultingfromunanticipatedpriceshocks,orwhetherinstead,intheirwagebargaining,theytryto“catch
up”
withpriorinflation.3Specifically,weassumethatthenominalwage
w
ineachquarterdependsontheexpectedpriceforthatquarter
푝푒,anaspirationrealwage
휔퐴
(seebelow),and
anindicatorofthetightnessofthelabormarket
푥:(Eq1)
푤
=
푝푒
+휔퐴
+훽푥Wages,prices,andexpectedpricesareinlog-levels,so
differencesshouldbeinterpretedas
growthrates.Weuse휔
todesignatetherealaspirationwageas
areminderthatthat
variableisin
realterms,indistinctiontothenominal
wage
w.Wediscuss
empiricalmeasuresoflabormarkettightness
푥
inthenextsection,onlynotingherethesignconventionthat
weinterpret
highervaluesof
푥
as
correspondingtoatighterlabormarket.We
suppressthetimesubscriptforcurrent-quartervariables.Weincludetheaspirationrealwage
휔퐴
inthemodelasa
devicefor
modelinga
possiblecatch-upeffect,inwhichworkersseek
tomakeup
forpastlossesofpurchasingpower,implyingadegreeofreal-wagerigidity.Theaspirationwagemaybethoughtofas
thereal
wagethatworkersbelieveisachievable—afocalpointinwagebargaining,perhaps—givenrecentdevelopmentsinwages,prices,andotherfactors.Alternatively,theaspirationrealwagemightbethoughtofasrepresentingthelong-runequilibriumrealwage,towardwhichtheactualrealwage
graduallyadjusts.Adoptingthenotation
푞(−푛)
tostandforthevariable
푞
lagged
푛
quarters,
weassumethat
theaspirationrealwageineachquarterisaweightedaverageoftheprevious
quarter’saspirationwageand
realizedreal
wage,plusa
shock
term
푧
,standing휔foralltheotherfactorsthataffectwage
determination:...3.
KaminandRoberts(2023)analyzehowalternativeforms
of
real-wagecatch-upmightaffectthe
courseoftheeconomy.________________________________________________________________________What
Caused
the
U.S.
Pandemic
-Era
Inflation?4HUTCHINS
CENTER
ON
FISCAL
&
MONETARY
POLICY(Eq2)
휔퐴
=
훼휔퐴(−1)+(1
−훼)(푤(−1)−푝(−1))
+푧휔When
estimatingthemodel,wealsoallowwagegrowthtodependonan
exogenous
trendinproductivitygrowth.Forsimplicityofexposition,weignorethattermhere.Puttingthetwo
equationsabovetogethertoeliminate
휔퐴
yields:(Eq3)
푤
−푤(−1)
=
(푝푒
−푝(−1))
+훼(푝(−1)−푝푒(−1))
+훽(푥
−훼푥(−1))
+푧푤Examinationoftheseequationssuggeststwocasesofinterest,dependingon
thevalueofthe“catch-up”parameter
훼.If훼
=
0
then,from(Eq2),theaspirationrealwage
ineach
quarteris
justtherealwageintheprevious
quarter(adjustedfortrendproductivity
growth,intheempiricalversionofthemodellater)plusanerrorterm.Further,from(Eq
3),inthespecialcaseof
훼
=
0,thechangeinthenominalwage
equalstheexpectedrateofinflationinthe
previousquarter,
푝푒
−푝(−1),
plusatermthat
dependsonthedegreeoflabor-market
tightness
푥—inshort,astandardexpectations-augmentedwagePhillipscurve.If
푎
≠
0,ontheotherhand,then(Eq3)
impliesthatamongthefactorsdeterminingnominal
wagegrowthisthedifferenceinthepreviousperiod’s
pricelevelandthepricelevelthat
hadbeenexpectedforthatperiod,
푝(−1)−푝푒(−1).Wecallthistermthecatch-up
term.Theexistenceofa
catch-up
termimpliesthat,intheirbargainingwithemployers,workersseektobecompensatedforlastperiod’sunexpected
inflation.Inotherwords,totheextentthat
workers’expectationsorfocalpoints(orthoseoftheir
institutionalrepresentatives)influence
thewagebargainingprocess,theeconomyexhibitsadegreeofreal-wagerigidity.Notealsofrom(Eq
3)that,if
푎
≠
0,thetermrelatingtolabor-markettightnesscanberewrittenas
(1
−푎)푥
+푎(푥
−푥(−1)),implyingthatwagespotentiallydependonboththelevelandchangeof
labor-markettightness.The
priceequationGivenwages,weassumethatthepricelevel
푝
dependson
thelevelofnominal
wagesplusashock
term푧
thatcapturestherelativecostsofnonlaborinputs,variationsinmarkups,andotherfactorsaffecting푝price-setting:푝
=
푤
+푧푝Or,in
firstdifferences:(Eq4)
푝
−푝(−1)
=
(푤
−푤(−1))+(푧푝
−
푧
(−1))푝Intheempiricalmodel,wewillfleshouttheshock
termbyincludingvariablessuchascommodity
priceshocksandsupply-chainproblemsthatincreaseprices
givenwages.Sincepricesshoulddependon
unitlaborcostsratherthanwagesper
se,intheestimationwealsoincludetheproductivitytrendinthepriceequation.We
willnottreat
producermarkupsasanindependentvariablebutnotethatmarkups
willendogenously
increase
inourmodelwhenstrongsectoraldemandconfrontslimitedsupply
(seebelow).Inflationexpectations
equationsThe
modelisclosedbyequationsthatdescribethebehaviorofthepublic’sshort-runandlong-runinflationexpectations.Short-runinflationexpectationsareaweightedaverageof
long-runinflationexpectations,
휋∗,
andlastperiod’sinflation:________________________________________________________________________What
Caused
the
U.S.
Pandemic
-Era
Inflation?5HUTCHINS
CENTER
ON
FISCAL
&
MONETARY
POLICY(Eq5)
푝푒
−푝(−1)
=
훿휋∗
+(1
−훿)(푝(−1)−푝(−2))Long-run
inflationexpectationsinturnevolveasa
weightedaverageoflastperiod’slong-runinflationexpectationsandactualinflation:(Eq6)
휋∗
=
훾휋∗(−1)+(1
−훾)(푝(−1)−푝(−2))The
parameters
훿
and
훾
capturethedegreeofanchoring
ofshortandlong-runinflationexpectations.Ifboth훿
and
훾
arecloseto1,expectationsarewellanchored.
Both
훿
and
훾
playimportantthoughdifferentrolesindeterminingthedynamic
effectsofshocksoninflation.Theparameter
훿
affectsshortrundynamics,andthedegreetowhichpriceinflationaffectswageinflation:
thelower
훿,themorepersistentthedynamiceffectsofapriceshock.Theparameter
훾
affectslongrundynamics,andinparticulartheeffectoftransitoryshockson
longruninflation.Inspectionoftheequations
aboveshowsthat,inthelong-runsteadystate,bothinflationexpectationsandtheinflationrateconsistentwithfullemployment
areindeterminate.Foranyvalueoflong-runexpected
inflation
휋∗,assumingthat
푥
=
0,themodelsolutionimpliesthatshort-runinflationexpectations,wageinflation,and
price
inflationall
equalthearbitrarilychosenvalueof
휋∗.Putanotherway,thevalueof
휋∗
atanypointintimeisdeterminedbythehistoryofinflation.Anepisodeof
higherinflationleadstohighersteady-stateinflation;thelongertheepisode,orthelower
훾,
thestrongertheeffectonsteady-stateinflation.Onecanthinkofthe“de-anchoring”thatpessimistsworriedaboutatthestartoftheinflationepisodeasdecreases
ineither
훿
or훾.Otherthings
equal,suchde-anchoringwouldleadtostrongerand
more
persistentinflationfollowinganinflationaryshock.Whentheaspirationwageissubstitutedout,asabove,themodeldeterminestheevolutionoffourendogenous
variables:
휋∗,푝푒,
푤
,and
푝.Despiteitssimplicity,thebasicmodeldisplays
interestingdynamicproperties.Toillustrate,Figure1belowshows,foralternativeparameterassumptions,themodel-implieddynamicresponses
ofinflationtoaone-timeshock
totheprice
equation.Specifically,wesimulatethefullmodelundertheassumptionthattheprice
shock
푧
rises
permanentlybyoneunitin
period1.
(Notethat푝apermanentshock
tothepricelevelisaone-periodshock
topriceinflation).Weconsidertwocases:
Inthefirst,weassumealimitedcatch-up
effectandstableinflationexpectations(훼
=
0.2,
훿
=
0.9,
훾
=
0.95).4Inthiscase,asFigure1shows,theshock
totheprice
levelleadstoasharp
increasein
inflationthat
isalmostcompletelyreversedafterafewperiods(seethecurvemarked“weak
feedback”).
Thelowpersistenceofinflationinthiscasereflectsthe
weak
catch-up
effect(workersareunabletorecouptheeffectsofunexpectedinflationontheirreal
wages)and
well-anchoredinflationexpectations.Becauseofthe(small)effectoftheinflationshockon
long-runexpectations,however,inflationendsup
permanentlyslightlyhigher,by0.06percentinthisexample.Withalimitedcatch-up
effectandwell-anchoredexpectations,theconventionalwisdomthatmonetary
policymakerscan“lookthrough”temporary
supplyshocksisjustified.The
responseofinflationtoaone-timepriceshockisquitedifferentwhenthecatch-upeffectisstrongerand
inflationexpectationsarelesswellanchored(say,
훼
=
0.6,
훿
=
0.7,
훾
=
0.9).
Inthissecondcasetheinflationresponse
toaone-timepriceshock
diesdownonlyslowly
(seethe
curvemarked“strong...4.
Wedonotneedto
assignavalueto훽
as
doing
so
wouldnotaffectthesesimulations.______________________________________________________________________
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