Migration,SearchandSkillHeterogeneity MyrtoOikonomou WP/23/136 IMFWorkingPapersdescriberesearchinprogressbytheauthor(s)andarepublishedtoelicitcommentsandtoencouragedebate. TheviewsexpressedinIMFWorkingPapersarethoseoftheauthor(s)anddonotnecessarilyrepresenttheviewsoftheIMF,itsExecutiveBoard,orIMFmanagement. 2023 JUN ©2023InternationalMonetaryFundWP/23/136 IMFWorkingPaper AfricanDepartment Migration,SearchandSkillHeterogeneityPreparedbyMyrtoOikonomou* AuthorizedfordistributionbyMercedesVeraMartin June2023 IMFWorkingPapersdescriberesearchinprogressbytheauthor(s)andarepublishedtoelicitcommentsandtoencouragedebate.TheviewsexpressedinIMFWorkingPapersarethoseoftheauthor(s)anddonotnecessarilyrepresenttheviewsoftheIMF,itsExecutiveBoard,orIMFmanagement. ABSTRACT:Cross-bordermigrationcanactasanimportantadjustmentmechanismtocountry-specificshocks.Yet,dependingonwhomoves,itcanhaveunintendedconsequencesforbusinesscyclestability.Thispaperarguesthattheskillcompositionofmigrationplaysacriticalrole.Whenmigrationflowsbecomemoreconcentratedinskilledlaboranimportanttrade-offarises.Ontheonehand,migrationreleasesunemploymentpressuresfortheorigincountries.Ontheotherhand,itgeneratesnegativecompositionaleffects(theso-called“braindrain”effects)andskillimbalances,whichreducesupplycapacityinorigincountries.Thispaperanalysesquantitativelytheimpactofcyclicalmigrationinanopen-economyDynamicStochasticGeneralEquilibrium(DSGE)modelwithendogenousmigrationflows,tradelinkages,searchandmatchingfrictions,andskillheterogeneity.IapplythisframeworktothecaseoftheGreekemigrationwavefollowingtheEuropeanDebtCrisis.WhatIfindisthatemigrationflowsimpliedstrongnegativeeffectsforcapitalformation,leadingtomorethana15percentagepointdropininvestment.RatherthanstabilizingtheGreekbusinesscycle,labormobilityledtoadeeperandmoreprotractedrecession. RECOMMENDEDCITATION:MyrtoOikonomou,2023,Migration,SearchandSkillHeterogeneity,IMFWorkingPaperWP/23/136 JELClassificationNumbers: E22,E32,F41,J24 Keywords: Migration;MatchingFrictions;SkillHeterogeneity Author’sE-MailAddress: moikonomou@imf.org *TheauthorwouldliketothankAndreaFerrero,HarrisDellasandFrancescoZanettifortheirinsightfulcommentsandguidance.ThispaperhasbenefitedgreatlyfromcommentsfromPetrSedlacekMichaelMcMahon,RomainDuval,EvgeniaVella,DanielaHauser,FilipposPetroulakis,RobertZymekandtheIMFAFRDepartment’sResearchAdvisoryGroup.IthasalsobenefitedfromthewarmhospitalityandconversationswitheconomistsattheDanishNationalBank,theFederalReserveBankofSaintLouisandtheIMFRESStructuralandClimatePoliciesworkshop. Migration,SearchandSkillHeterogeneity MyrtoOikonomou∗June1,2023 Abstract Cross-bordermigrationcanactasanimportantadjustmentmechanismtocountry-specificshocks.Yet,dependingonwhomoves,itcanhaveunintendedconsequencesforbusinesscyclestability.Thispaperarguesthattheskillcompositionofmigrationplaysacriticalrole.Whenmigrationflowsbecomemoreconcentratedinskilledlaboranimportanttrade-offarises.Ontheonehand,migrationreleasesunemploymentpres-suresfortheorigincountries.Ontheotherhand,itgeneratesnegativecompositionaleffects(theso-called“braindrain”effects)andskillimbalances,whichreducesupplycapacityinorigincountries.Thispaperanalysesquantitativelytheimpactofcycli-calmigrationinanopen-economyDynamicStochasticGeneralEquilibrium(DSGE)modelwithendogenousmigrationflows,tradelinkages,searchandmatchingfrictions,andskillheterogeneity.IapplythisframeworktothecaseoftheGreekemigrationwavefollowingtheEuropeanDebtCrisis.WhatIfindisthatemigrationflowsimpliedstrongnegativeeffectsforcapitalformation,leadingtomorethana15percentagepointdropininvestment.RatherthanstabilizingtheGreekbusinesscycle,labormobilityledtoadeeperandmoreprotractedrecession. JELCodes:E22,E32,F41,J24 Keywords:Migration,MatchingFrictions,SkillHeterogeneity ∗Email:moikonomou@imf.org.TheauthorwouldliketothankAndreaFerrero,HarrisDellasandFrancescoZanettifortheirinsightfulcommentsandguidance.ThispaperhasbenefitedgreatlyfromcommentsfromPetrSedlacekMichaelMcMahon,RomainDuval,EvgeniaVella,DanielaHauser,Filip-posPetroulakis,RobertZymekandtheIMFAFRDepartment’sResearchAdvisoryGroup.IthasalsobenefitedfromthewarmhospitalityandconversationswitheconomistsattheDanishNationalBank,theFederalReserveBankofSaintLouisandtheIMFRESStructuralandClimatePoliciesworkshop. Contents 1Introduction 3 2RelatedLiterature 6 3TheModel 8 3.1ModelOverview.................................. 8 3.2laborMarkets................................... 9 3.3Households.................................... 11 3.4Production.................................... 14 3.4.1FinalGoodFirms............................. 14 3.4.2IntermediateGoodFirm......................... 15 3.5MarketClearing.................................. 17 4Calibration 19 5QuantitativeAnalysis 23 5.1Theamplifyingroleofmigration......................... 23 5.2Wholeavesmatters................................ 26 6Conclusion 29 References 30 AAppendix 30 A.1AdditionalFigures................................ 30 A.2ModelEquations................................. 31 A.