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HasthePhillipsCurve
BecomeSteeper?
AnilAri,DanielGarcia-MaciaandShrutiMishra
WP/23/100
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2023
MAY
*ThispaperbenefitedfromtheguidanceofS.AliAbbas,MarkFlanaganandLauraPapi,andhelpfulcommentsfromTommasoAquilante,HelgeBerger,OyaCelasun,RuoChen,RomainDuval,ChristianGlocker,MyrtoOikonomou,SaskiaterEllen,BoromeusWanengkirtyo,andseminarparticipantsattheBankofEnglandandHisMajesty'sTreasury.WearegratefultoGloriaLiforexcellentresearchassistance.
©2023InternationalMonetaryFund
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IMFWorkingPaper
EuropeanDepartment
HasthePhillipsCurveBecomeSteeper?
PreparedbyAnilAri,DanielGarcia-MaciaandShrutiMishra*
AuthorizedfordistributionbyS.AliAbbas
May2023
IMFWorkingPapersdescriberesearchinprogressbytheauthor(s)andarepublishedtoelicitcommentsandtoencouragedebate.TheviewsexpressedinIMFWorkingPapersarethoseoftheauthor(s)anddonotnecessarilyrepresenttheviewsoftheIMF,itsExecutiveBoard,orIMFmanagement.
ABSTRACT:ThispaperanalyzeswhetherstructuralchangesintheaftermathofthepandemichavesteepenedthePhillipscurvesinadvancedeconomies,reversingtheflatteningobservedinrecentdecadesandreducingthesacrificeratioassociatedwithdisinflation.Particularly,analysisofgranularpricequotedatafromtheUKindicatesthatincreaseddigitalizationmayhaveraisedpriceflexibility,whilede-globalizationmayhavemadeinflationmoreresponsivetodomesticeconomicconditionsagain.Usingsectoraldatafrom24advancedeconomiesinEurope,higherdigitalizationandlowertradeintensityareshowntobeassociatedwithsteeperPhillipscurves.Post-pandemicPhillipscurveestimatesindicatesomesteepeningintheUK,Spain,Italyandtheeuroareaasawhole,butatmagnitudesthataretoosmalltoexplaintheentiresurgeininflationin2021–22,suggestinganimportantroleforoutwardshiftsinthePhillipscurve.
RECOMMENDEDCITATION:Ari,A.,Garcia-Macia,D.,andMishra,S.(2023).HasthePhillipsCurveBecomeSteeper?IMFWorkingPaper,WP/23/100
JELClassificationNumbers:E31,E52,O33,F41
Keywords:PhillipsCurve;Inflation;De-globalization;Digitalization;Structuralchange
Author’sE-MailAddress:
aari@
,
dgarciamacia@
,
sm4371@
WORKINGPAPERS
HasthePhillipsCurveBecomeSteeper?
PreparedbyAnilAri,DanielGarcia-MaciaandShrutiMishra
1
1ThispaperbenefitedfromtheguidanceofAliAbbasandMarkFlanagan,andhelpfulcommentsfromTommasoAquilante,RuoChen,RomainDuval,ChristianGlocker,MyrtoOikonomou,SaskiaterEllen,BoromeusWanengkirtyo,andothercounterpartsattheBankofEnglandandHisMajesty'sTreasury.
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Contents
1.INTRODUCTION
3
2.RELATEDLITERATURE
5
3.EMPIRICALFRAMEWORKANDDATA
7
3.1SectoralPhillipsCurveEstimation
7
3.2DigitalizationandPriceFlexibility
8
3.3DataSourcesandConstruction
8
4.EMPIRICALRESULTSANDROBUSTNESS
10
4.1SectoralPhillipsCurveRegressions
1
0
4.2DigitalizationandPriceFlexibility
14
5.POST-PANDEMICPHILLIPSCURVEESTIMATION
15
6.CONCLUSION
16
FIGURE
1.PhillipsCurveSlope
4
TABLES
1.CountriesandSectorsIncludedinthePanelDataset
9
2.BaselineEmpiricalResults
12
3.RobustnessCheck
13
4.DigitalizationandPriceFlexibilityResults
14
References
17
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1.Introduction
ThePhillipscurve,definedastheempiricalrelationshipbetweenunemploymentandinflation,illustratesthetrade-offbetweenmaintainingpricestabilityandachievingfullcapacityutilization.TherecenthistoryofthePhillipscurvehasbeenapuzzle.ManystudieshaveconcludedthatthePhillipscurvehasflattenedinadvancedeconomiesinrecentdecades(seee.g.,Blanchard,2016;DelNegroandothers,2020amongmanyothers),whileothershavedocumentedthemutedreactionofinflationtolargechangesinunemploymentduringandaftertheGreatRecession(CoibionandGorodnichenko,2015;Heiseandothers,2022).
Theliteraturehasproposedanumberofexplanationsforthisphenomenon.First,theimplementationofinflationtargetingmayhaveincreasedthecapacityofmonetarypolicytoneutralizedemandshocks(whichwouldmoveinflationandunemploymentinoppositedirections),leavingsupplyshocks(whichmovetheminthesamedirection,shiftingthePhillipscurveinwards/outwards)asthemainsourceofaggregatevolatility(Broadbent,2020;Bergholt,andothers,2023).Second,firmeranchoringofinflationexpectationsmayhavereducedsecond-roundeffectsofrelativepriceshocks(Borioandothers,2021).Third,globalizationmayhavereducedtheresponsivenessofinflationtodomesticeconomicslackandunemployment(Heiseandothers,2022),includingbyraisinglabormarketflexibilitythroughareductioninlaborbargainingpower(Lombardiandothers,2020).Fourth,increasedmarketpowermayhaveaugmentedfirms’capacitytoabsorbcost-pushshocksintheirmarkups(Baqaee,FarhiandSangani,2021).
Someofthesestructuraltrendsmayhavestartedtoreverseinrecentyears.Therecentriseininflationtohistoricallyhighlevelsinadvancedeconomiesrisksweakeningtheanchoringofinflationexpectationsachievedoverthepasttwodecades.Ade-globalizationscenariomayalsomakethedomesticoutputgapmorerelevantagain,aswellasrestoringsomelaborbargainingpower(GoodhartandPradhan,2020).NewstructuralfactorsmayhavealsocontributedtoasteepeningofthePhillipscurvereducingnominalrigidities.Notably,morewidespreaddigitalization,includinginresponsetotheCOVID-19pandemic,hasraisedtheshareofonlineretail,wherepricesaretypicallymoreflexible(GorodnichenkoandTalavera,2017;Cavallo,2018).
Figure1demonstratesboththeflatteningofthePhillipscurveinrecentdecadesandmorerecentsignsofsteepening.TheempiricalcorrelationbetweenunemploymentandinflationwhichhadgonefrombeingnegativetobroadlyzerointheUSandtheeuroarea,andpositiveintheUK,hasagainturnednegativesincethepandemic.
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andstaffcalculations
Figure1:PhillipsCurveSlope
(10yearrollingcorrelationoftheunemploymentrateandCPIinflation)
Source:ONSIMF
Inviewofthesedevelopments,thispaperanalyzestheimpactofrecentstructuralchangesintradeintensityanddigitalizationontheslopeofthePhillipscurve.Todothis,wefirstestimateasectoralPhillipscurveusingquarterlydatafrom17sectorsin24advancedeconomiesinEuropeover2012Q1–2019Q4.
1
WefindthatbothstructuralfactorshaveastatisticallysignificantimpactinsteepeningthePhillipscurve.Thesefindingsarerobusttocontrollingforvarioussourcesofnon-linearitiesandendogenousmonetarypolicyresponsestoshocks.
ToshedfurtherlightonthemechanismthroughwhichdigitalizationsteepensthePhillipscurve,wecomplementthisanalysiswithpricequotedatafromtheUK(i.e.,individualpricesforgoodsinspecificestablishments).Particularly,weusemonthlydatafromJanuary2008toJune2021toshowthatgreatere-commerceintensityatthesectorallevelisassociatedwithasignificantlyhigherfrequencyofindividualpricechanges.
2
ThisfindingisconsistentwithpreviousresultsfromGorodnichenkoandTalavera(2017)andCavallo(2018).
1EstimatingsectoralPhillipscurvesallowsustoexploitmuchmorevariationinthestructuralvariablesweconsider,increasingthepowerofourestimations.Theimplicitassumptionthatunderliesthisidentificationstrategyisthatproductionfactorsarenotperfectlymobileacrosssectors,allowingforoutputgapstodifferacrosssectors.
2Thisfindingisrobusttodefiningpriceflexibilitywitheitherpositiveornegativepricechangesonlyandincludingsectorandyearfixedeffects.
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Finally,weapplythesectoralPhillipscurveresultstoinferchangesinthepost-pandemicPhillipscurveforfivelargeEuropeaneconomies–France,Germany,Italy,SpainandtheUK—aswellasaeuroareaaggregate.WhilewefindthatthePhillipscurvehasindeedsteepenedintheUK,Spain,Italy,andtheeuroarea,theextentofsteepeningislimited,andpost-pandemicPhillipscurvesremainlargelyflat.Thisconclusionholdseveninahypotheticalde-globalizationscenariowheretradeintensityfallssubstantially.ItalsosuggestsanimportantroleforoutwardsshiftsinthePhillipscurve(whichcouldbeduetohigherinflationexpectations,supplyshocks,orotherstructuralchanges)inexplainingthesurgeininflationin2021–22.
Theremainderofthepaperisorganizedasfollows.Section2reviewstherelatedliterature.Section3describestheempiricalstrategyanddata.Section4providestheresultsandrobustnesschecks.Section5estimatesPhillipscurveslopesintheaftermathofthepandemicandinade-globalizationscenario.Section6concludes.
2.RelatedLiterature
OurpaperiscloselyrelatedtotheliteratureontheslopeofthePhillipscurve.Blanchard(2016),Mishkin(2007)andPowell(2018)documentthattheUSPhillipscurvehasflattenedinthe1980s,whileHaldaneandQuah(1999)reachasimilarconclusionfortheUK.LeducandWilson(2017)andMurphy(2018)documentthatthewagePhillipscurvehasalsobecomeflatter.DelNegroandothers(2020)andCoibionandGorodnichenko(2015)considertheflatteningofthePhillipscurveasapossibleexplanationformissingdeflationduringtheGreatRecession,andHeiseandothers(2022)useittoprovideanexplanationformissinginflationinthe2010s.Abdihandothers(2018)arguethathighinflationpersistencecanaccountformissinginflationpuzzlesintheeuroarea.
FitzgeraldandNicolini(2014),McLeayandTenreyro(2020),andHooper,MishkinandSufi(2020)arguethatendogenousmonetarypolicyresponsesmayresultinanunderestimationoftheslopeofthePhillipscurveandshowthatestimatesbasedonUSregionaldataindicateasteeperPhillipscurve.Incontrast,IMF(2021)showsthatinstrumentingforchangesinunemploymentwithmonetarypolicyshocksdoesnotleadtoasteeperPhillipscurveslopeestimateforadvancedeconomies.Hazellandothers(2022)findevidenceofamodestflatteningoftheUSPhillipscurveusingregionaldata.Similarly,Tuckett(2018)usesregionaldatatoshowthattheUKPhillipscurvehasbecomeflatter.Whilewerelyoneconomy-widedatainourstudy,20ofthe
24economiesinoursampleareeithermembersoftheeuroareaorhaveacurrencypegwiththeeuro,andthuscanbethoughtofas“regions”withinamonetaryunion.Usingthesub-sampleofeuro(pegged)countriesandthesameapproachastheabovestudies,weshowthatourfindingsarerobusttocontrollingformonetarypolicyresponses.
Otherstudiesarguethatthetime-varianceintheslopeofthePhillipscurvemaybeattributedtonon-linearities.BarnesandOlivei(2003)proposeapiecewise-linearPhillipscurvespecificationwhereinflationrespondsmorestronglytounemploymentwhenunemploymentisbelowathreshold,andDoserandothers(2023)showthatsuchaspecificationcanaccountformissingdisinflationduringtheGreatRecession.Speigner(2014)findsthatlong-termunemploymenthasasignificanteffectoninflationonceconvexitiesareallowedforduringthe
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estimationprocess.Wealsoconsidernon-linearPhillipscurvespecificationsinourempiricalanalysisandfindthatourresultsalsoremainrobusttoaccountingforthese.
TheliteraturehasalsoofferedvarioustheoreticalexplanationsfortheflatteningofthePhillipscurve.Nalewaik(2016)andBorioandothers(2021)attributeittofirmeranchoringofinflationexpectations.BallandMazumder(2011)arguethatadeclineinthelevelandvariabilityofinflationhasreducedpriceflexibilitygivencostlypriceadjustment.DalyandHobjin(2014)emphasizesimilarinteractionsbetweenlowinflationanddownwardnominalwagerigidities,whileAfrouziandYang(2020)focusontheroleofrationalinattentioninpricesettingdecisions.Baqaee,FarhiandSangani(2021)andRubbo(2022)insteadrelatetheflatteningofthePhillipscurvetomarkupsandintermediateinputs,bothofwhichdampenthepassthroughofshocksintoprices.Lombardiandothers(2020)suggestthattheflatteningisduetoaweakeninginlaborbargainingpower,whichmayinturnberelatedtodecliningunionizationandglobalization.Auerandothers(2017)andHeiseandothers(2022)alsoidentifyglobalizationasadrivingfactorbutproposedifferenttransmissionchannelsthatreducetheresponsivenessofinflationtothedomesticoutputgap.Auerandothers(2017)focusontheroleofinternationalinput-outputlinkages,whileHeiseandothers(2022)considerimportcompetition.
Toourknowledge,thispaperisamongthefirsttostudyasteepeningofthePhillipscurveinthepost-pandemicera.Weconsidertwostructuralfactors—de-globalizationanddigitalization—aspotentialdriversofasteeperPhillipscurve.Alfonsoandothers(2021)documentthegrowthofe-commerceinrecentyearsanditsaccelerationduringthepandemic,andGorodnichenkoandTalavera(2017)andCavallo(2018)showthatpricesinonlinemarketsaremoreflexible.GlockerandPiribauer(2021)findthatmonetarypolicyshockshavelessimpactonoutputwhentheshareofonlineretailtradeishigh,inlinewithourresults.Witt(2019)andRazin(2020)arguethattradeglobalization(asmeasuredbyshareoftradeinworldGDP)hasreversedcoursesincetheglobalfinancialcrisis.Ouruseoftradeintensityasaproxyforde-globalizationissimilartoHeiseandothers(2022),whorelyonimportpenetrationasaproxy.Whilepost-pandemicdatadonotregisteradeclineintradeintensityinlargeEuropeaneconomiesandtheeuroarea,ade-globalizationscenarioisarelevantriskgiventensionsbetweentheUSandChinaandRussia’swarinUkraine,whichhaveraisedconcernsaboutthereliabilityofsupplychains(Handley,KamalandMonarch,2020).
Finally,thispaperalsorelatestorecentstudiesthatprovideabottom-upaccountingoftherecentsurgeininflationinEurope,includingbyestimatingPhillipscurves(McGregorandToscani,2022;IMF,2022;Babaandothers,2023).ThesestudiesfindthatPhillipscurvesestimatedonhistoricaldataandchangesinenergyandothercommoditypricescanonlyexplainabouthalfoftheincreaseininflationin2022inadvancedandemergingEuropeaneconomies.
3
ThesefindingsareconsistentwithourestimatesofflatPhillipscurveslopesforlargeEuropeaneconomiesinthispaper.
3Relatedly,Hodgeandothers(2022)useaDSGEmodeltoshowthat,evenwithasteeperPhillipscurveslope,policyactionswouldnothaveexplainedtheinflationsurgeineithertheeuroareaortheUS.
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3.EmpiricalFrameworkandData
ThissectionfirstintroducestheempiricalframeworksforsectoralPhillipscurveestimatesandtheanalysisoftheimpactofdigitalizationonpriceflexibility.Thenitdescribesthedatasourcesanddataconstruction.
3.1SectoralPhillipsCurveEstimation
Theanalysisisbasedonapanelof17sectorsin24advancedeconomiesinEurope,atquarterlyfrequencyover2012Q1–2019Q4.
4
Thebaselinespecificationreflectsastandardopeneconomy,expectations-augmentedPhillipscurverelationship(seee.g.,Kamber,MohantyandMorley,2020)andcanbewrittenasfollows:
πi,s,t=ai+as+at+ai,s+Fi,s,t+γEt[冗i,t+4]+∑=1入k冗i,s,t−k+e」si,t+6Xi,s,t+pi,s,tXi,s,t+ei,s,t.(1)
wherei,s,tdenotecountry,sector,andtimesuchthat(ai,as,at,ai,s)arerespectivelycountry,sector,time,andcountry-sectorfixedeffects.πi,s,trepresentsinflation,i,s,tistheoutputgapandEt[冗i,t+1]capturesinflationexpectationsasisstandardintheliterature.WealsofollowGaliandGertler(1999)inintroducinglaggedinflationtermstocontrolforadaptivecomponentsofinflationexpectationsaswellaslaggedchangesinotherdeterminantsofinflation.Additionally,asisstandardforopeneconomieswithalargeproportionofimportedgoodsandservices,wealsocontrolforappreciationintherealeffectiveexchangerate」si,t.ThevectorXi,s,tcapturesstructuralchangesassociatedwithtradeintensityanddigitalization,andei,s,tistheresidual.
Thekeycoefficientsthatweaimtoestimatearedenotedbythevector,whichcapturestheimpactofstructuralfactorsontheslopeofthePhillipscurve.Particularly,anegativeestimateforthetradeintensitycoefficientandapositiveestimateforthedigitalizationcoefficientinthisvectorwouldindicatethatde-globalizationanddigitalizationareassociatedwithasteeperPhillipscurve.
Wealsoconsideranumberofrobustnesstests.First,werepeatthebaselineestimatesin(1)butclusterthestandarderrorsatthelevelofsector-countrycombinations.Second,ourestimatesmaybebiasedbyendogenousmonetarypolicyresponsestoinflationandtheoutputgap.Toaddressthisconcern,wealsoestimatespecification(1)usingdataonlyfromcountriesthatareintheeuroareaorthathaveanexchangeratepegwiththeeuro.Sincethesecountrieshaveacommonmonetarypolicy,endogenousmonetarypolicyresponseswouldbecapturedbytimefixedeffects.AthirdconcernwithouridentificationisthatthePhillipscurvemaybenon-linear.Tocheckwhetherouranalysisisrobusttonon-linearities,wealsoconsideraspecificationwithquadratictermsfortheoutputgapandinflationexpectations,suchthat
πi,s,t=ai+as+at+ai,s+Fi,s,t+F2s,t+γEt[冗i,t+4]+y2Et[冗i,t+4]2e」si,t+6Xi,s,t+
+∑=1入k冗i,s,t−k+pi,s,tXi,s,t+ei,s,t(2)
4Seesection3.3foralistofthecountriesandsectorsincluded.Addingasectoraldimensiontothepanelstrengthenstheidentificationbyallowingtocontrolforsectorandcountry-sectorfixedeffects.
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3.2DigitalizationandPriceFlexibility
WefurtherinvestigatethemechanismthroughwhichdigitalizationaffectstheslopeofthePhillipscurvebyusingmonthlydatafromtheUKbetweenJanuary2008andJune2021toanalyzewhether(off-line)pricesarerevisedmorefrequentlyinsectorswithhighere-commerceintensity.Ourspecificationisasfollows:
Fs,t=as+at+FEs,t+es,t
(3)
wheres,tdenotesectorandyearandasandatarerespectivelysectorandyearfixedeffectsasbefore.Fs,tdenotespriceflexibility,definedasthemonthlyrateatwhichpricequotespforindividualitemsinagivenshoparechangedwithinsectorsinyeart:
Fs,t≡∑jeS∑meTI(pj,m−pj,m−1≠0)
(4)
wheremindicatesthemonthandjthepricequote,andNs,tisthenumberofpricequotesinthesampleforagivensector-year.Forexample,apriceflexibilityof½meansthatthepriceofanitemchangeseverytwomonthsonaverage.Es,trepresentse-commerceintensity,definedastheshareofenterprisesreceivinge-commerceorderswithinasector,andes,tistheresidual.
AnestimateofF̂>0wouldthensuggestthatgreatere-commerceintensityisassociatedwithhigherpriceflexibility.WhilethiscouldbeinterpretedasadirecteffectofdigitalizationasinGorodnichenkoandTalavera(2017)andCavallo(2018),analternativeinterpretationwouldbethate-commercepenetrationactsasadeflationaryforce,triggeringpricereductionsthatthencreateafalseimpressionofincreasedpriceflexibility.Asarobustnesscheckforsucha“deflationarybias,”wealsorepeatouranalysisbyre-definingFs,ttoalternatelyexcludeallpositiveandnegativepricechanges,asthefrequencyoftheformerwouldnotincreasefromdeflationarypressure.
3.3DataSourcesandConstruction
Table1reportsthecountriesandsectorsincludedinthepaneldatasetforthePhillipscurveestimates,whichcoverstheperiod2014Q4–2019Q4atquarterlyfrequency.
5
,
6
Werestrictouranalysistopre-pandemicdataasweconsiderourestimatesofinterest(capturedin)tobedeepparametersthatarestableovertimebutthatmayhavebeentemporarily“dislodged”bypandemic-relateddisruptions.Theinitialtimepointandsectoralbreakdowninourdatasetaregivenbydataavailability.
Weproxyfordigitalizationwiththeshareofenterpriseswithe-commercesalesamountingtoatleast1percentoftotalturnover,whichisavailablefromEurostatatthesectoralbreakdownshowninTable1.Weaggregateothersectoralvariableswithmoregranularsectoraldatauptothislevel.Theseincludesectoralinflation,measuredusingimpliedGDPdeflators;thesectoraloutputgap,constructedbyapplyingaHodrick-Prescott
5Amongthecountries,Czechia,Norway,SwedenandtheUKhaveindependentmonetarypolicies,leadingtotheirexclusionfromrobustnesschecksforendogenousmonetarypolicyreactions.Theremainingcountriesareeuroareamembers,exceptforDenmarkwhichhasanexchangeratepegwiththeeuro.
6In2019,theincludedsectorsaccountedonaveragefor42percentoftotalgrossvalueaddedforthecountriesinthedataset.
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filtertorealgrossvalueadded(GVA)andtakingtheresidualinpercentageterms;andsectoraltradeintensity(aproxyfor(de-)globalization),whichistheratioofsectoralimportsandexportstosectoralGVA.ThesevariablesareallobtainedfromEurostat,withsectoralimportsandexportsonlyavailablefrom2012Q1onwards.Inflationexpectationsandrealeffectiveexchangeratesareonlyavailableatthecountrylevel.Weproxyforinflationexpectationswithone-year-aheadCPIinflationforecastsfromConsensusEconomicsandobtain(CPI-based)realeffectiveexchangerate(REER)datafromtheIMF’sWorldEconomicOutlookdatabase.
Table1:CountriesandSectorsIncludedinthePanelDataset
Countries:
Sectors:
NACERev.2
sectorcode
C10-C12C13-C15C16-C18C19
C20 C21C22-C23
C24-C25
C26C27-C28C29-C30
C31-C33
H49-H53
I
J58-J60
J61
J62-J63
Austria,Belgium,Cyprus,Czechia,Denmark,Estonia,Finland,France,Germany,Greece,Ireland,Italy,Latvia,Lithuania,Luxembourg,Malta,Netherlands,Norway,Portugal,Slovakia,Slovenia,Spain,SwedenandtheUnitedKingdom.
Sectorname
Manufactureoffoodproducts;beveragesandtobaccoproducts
Manufactureoftextiles,wearingapparel,leatherandrelatedproducts
Manufactureofwood,paper,printingandreproduction
Manufactureofcokeandrefinedpetroleumproducts
Manufactureofchemicalsandchemicalproducts
ManufactureofbasicpharmaceuticalproductsandpharmaceuticalpreparationsManufactureofrubberandplasticproductsandothernon-metallicmineralproducts
Manufactureofbasicmetalsandfabricatedmetalproducts,exceptmachineryandequipment
Manufactureofcomputer,electronicandopticalproducts
Manufactureofelectricalequipmentandmachineryandequipmentn.e.c.Manufactureofmotorvehicles,trailers,semi-trailersandofothertransportequipmentManufactureoffurniture;jewelry,musicalinstruments,toys;repairandinstallationofmachineryandequipment
Landtransportandtranspor
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