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CHAPTER7
ECONOMICGROWTHANDINTERNATIONALTRADE
OUTLINE
7.1Introduction
7.2GrowthofFactorsofProduction
7.2aLaborGrowthandCapitalAccumulationOverTime
7.2bTheRybczynskiTheorem
7.3TechnicalProgress
7.3aNeutral,Labor-Saving,andCapital-SavingTechnicalProgress
7.3bTechnicalProgressandtheNation'sProductionFrontier
CaseStudy7-1:ChangesinRelativeResourceEndowmentsofVariousCountriesandRegions
CaseStudy7-2:ChangeinCapital-LaborRationsinSelectedCountries
7.4GrowthandTrade:TheSmallCountryCase
7.4aTheEffectsofGrowthonTrade
7.4bIllustrationofFactorGrowth,Trade,andWelfare
7.4cTechnicalProgress,Trade,andWelfare
CaseStudy7-3:GrowthofOutputperWorkerfromCapitalDeepening,TechnologicalChange,andImprovementsinEfficiency
7.5GrowthandTrade:TheLarge-CountryCase
7.5aGrowthandtheNation'sTermsofTradeandWelfare
7.5bImmiserizingGrowth
7.5cIllustrationofBeneficialGrowthandTrade
CaseStudy7-4:Growth,Trade,andtheGiantsoftheFuture
7.6Growth,ChangeinTastes,andTradeinBothNations
7.6aGrowthandTradeinBothNations
7.6bChangeinTastesandTradeinBothNations
CaseStudy7-5:ChangeintheRevealedComparativeAdvantageofVariousCountriesorRegions
CaseStudy7-6:Growth,Trade,andWelfareintheLeadingIndustrialNations
Appendix: A7.1FormalProofofRybczynskiTheorem
A7.2GrowthwithFactorImmobility
A7.3GraphicalAnalysisofHicksianTechnicalProgress
KeyTerms
Comparativestatics Antitradeproductionandconsumption
Dynamicanalysis Neutralproductionandconsumption
Balancedgrowth Normalgoods
Rybczynskitheorem Inferiorgoods
Labor-savingtechnicalprogress Terms-of-tradeeffect
Capital-savingtechnicalprogress Wealtheffect
Protradeproductionandconsumption Immiserizinggrowth
LectureGuide
Thisisnotacorechapteranditisoneofthemostchallengingchaptersininternationaltrade
theory.Itisincludedformoreadvancedstudentsandforcompleteness.
IfIweretocoverthischapter,Iwouldpresenttwosectionsineachofthreelectures.
Timepermitting,Iwould,otherwisecoverSections1and2,payingspecialattentiontothe
Rybczynskitheorem.
AnswertoProblems
1.a>SeeFigure1.
b>SeeFigure2
c>SeeFigure3.
2.SeeFigure4.
3.a>SeeFigure5.
b>SeeFigure6.
c>SeeFigure7.
4.CompareFigure5toFigure1.
CompareFigure6toFigure3.Notethatthetwoproductionfrontiershavethesamevertical
orYinterceptinFigure6butadifferentverticalorYinterceptinFigure3.
CompareFigure7toFigure2.Notethatthetwoproductionfrontiershavethesame
horizontalorXinterceptinFigure7butadifferenthorizontalorXinterceptinFigure2.
5.SeeFigure8onpage66.
6.SeeFigure9.
7.SeeFigure10.
8.SeeFigure11.
9.SeeFigure12.
10.SeeFigure13onpage67.
11.SeeFigure14.
12.SeeFigure15.
TheUnitedStateshasbecomethemostcompetitiveeconomyintheworldsincetheearly
1990’swhilethedatainTable7.3referstothe1965-1990period.
.
ThedatainTable7.4seemtoindicatethatChinahadacomparativeadvantagein capital-intensivecommoditiesandacomparativedisadvantageinunskilled-labor intensivecommoditiesin1973.Thiswasverylikelyduetothemanytraderestrictionsandsubsidies,whichdistortedthecomparativeadvantageofChina.Itstruecomparativeadvantagebecameevidentby1993afterChinahadstartedtoliberalizeitseconomy.
App.1a.SeeFigure16.
1b.Forproductionandconsumptiontoactuallyoccuratthenew equilibriumpointafterthedoublingofKinNation2,wemustassumeeitherthancommodityXisinferiororthatNation2istoosmalltoaffecttherelativecommoditypricesatwhichittrades.
1c.Px/Pymustrise<i.e.,Py/Pxmustfall>asaresultofgrowthonly.
Px/Pywillfallevenmorewithtrade.
1.IfthesupplyofcapitalincreasesinNation1intheproductionofcommodityY
only,theVMPLycurveshiftsup,andwrisesinbothindustries.Somelaborshifts
totheproductionofY,theoutputofYrisesandtheoutputofXfalls,rfalls,and
Px/Pyislikelytorise.
2.CapitalinvestmentstendtoincreaserealwagesbecausetheyraisetheK/Lratioandtheproductivityoflabor.TechnicalprogresstendstoincreaseK/LandrealwagesifitisL-savingandtoreduceK/LandrealwagesifitisK-saving.
Multiple-ChoiceQuestions
1.Dynamicfactorsintradetheoryrefertochangesin:
a.factorendowments
b.technology
c.tastes
*d.alloftheabove
2.DoublingtheamountofLandKunderconstantreturnstoscale:
a.doublestheoutputoftheL-intensivecommodity
b.doublestheoutputoftheK-intensivecommodity
c.leavestheshapeoftheproductionfrontierunchanged
*d.alloftheabove.
3.DoublingonlytheamountofLavailableunderconstantreturnstoscale:
a.lessthandoublestheoutputoftheL-intensivecommodity
*b.morethandoublestheoutputoftheL-intensivecommodity
c.doublestheoutputoftheK-intensivecommodity
d.leavestheoutputoftheK-intensivecommodityunchanged
4.TheRybczynskitheorempostulatesthatdoublingLatconstantrelativecommodityprices:
a.doublestheoutputoftheL-intensivecommodity
*b.reducestheoutputoftheK-intensivecommodity
c.increasestheoutputofbothcommodities
d.anyoftheabove
5.DoublingLislikelyto:
a.increasestherelativepriceoftheL-intensivecommodity
b.reducestherelativepriceoftheK-intensivecommodity
*c.reducestherelativepriceoftheL-intensivecommodity
d.anyoftheabove
TechnicalprogressthatincreasestheproductivityofLproportionatelymorethanthe
productivityofKiscalled:
*a.capitalsaving
b.laborsaving
c.neutral
d.anyoftheabove
7.A50percentproductivityincreaseintheproductionofcommodityY:
a.increasestheoutputofcommodityYby50percent
b.doesnotaffecttheoutputofX
c.shiftstheproductionfrontierintheYdirectiononly
*d.anyoftheabove
8.DoublingLwithtradeinasmallL-abundantnation:
*a.reducesthenation'ssocialwelfare
b.reducesthenation'stermsoftrade
c.reducesthevolumeoftrade
d.alloftheabove
9.DoublingLwithtradeinalargeL-abundantnation:
a.reducesthenation'ssocialwelfare
b.reducesthenation'stermsoftrade
c.reducesthevolumeoftrade
*d.alloftheabove
If,atunchangedtermsoftrade,anationwantstotrademoreaftergrowth,thenthe
nation'stermsoftradecanbeexpectedto:
*a.deteriorate
b.improve
c.remainunchanged
d.anyoftheabove
Aproportionatelygreaterincreaseinthenation'ssupplyoflaborthanofcapitalislikely
toresultinadeteriorationinthenation'stermsoftradeifthenationexports:
a.theK-intensivecommodity
*b.theL-intensivecommodity
c.eithercommodity
d.bothcommodities
12.Technicalprogressinthenation'sexportcommodity:
*a.mayreducethenation'swelfare
b.willreducethenation'swelfare
c.willincreasethenation'swelfare
d.leavesthenation'swelfareunchanged
13.DoublingKwithtradeinalargeL-abundantnation:
a.increasesthenation'swelfare
b.improvesthenation'stermsoftrade
c.reducesthevolumeoftrade
*d.alloftheabove
14.Anincreaseintastesfortheimportcommodityinbothnations:
a.reducesthevolumeoftrade
*b.increasesthevolumeoftrade
c.leavesthevolumeoftradeunchanged
d.anyoftheabove
15.AnincreaseintastesoftheimportcommodityofNationAandexportinB:
*a.willreducethetermsoftradeofNationA
b.willincreasethetermsoftradeofNationA
c.willreducethetermsoftradeofNationB
d.anyoftheabove
ADDITIONALESSAYSANDPROBLEMSFORPARTONE
AssumethatboththeUnitedStatesandGermanyproducebeefandcomputerchipswiththefollowingcosts:
UnitedStatesGermany
<dollars><marks>
Unitcostofbeef<B> 2 8
Unitcostofcomputerchips<C> 1 2
a>Whatistheopportunitycostofbeef<B>andcomputerchips<C>ineachcountry?
InwhichcommoditydoestheUnitedStateshaveacomparativecostadvantage?
WhataboutGermany?
WhatistherangeformutuallybeneficialtradebetweentheUnitedStatesandGermanyforeachcomputerchiptraded?
HowmuchwouldtheUnitedStatesandGermanygainif1unitofbeefisexchangedfor3chips?
Ans.a>IntheUnitedStates:
theopportunitycostofoneunitofbeefis2chips;
theopportunitycostofonechipis1/2unitofbeef.
InGermany:
theopportunitycostofoneunitofbeefis4chips;
theopportunitycostofonechipis1/4unitofbeef.
b>TheUnitedStateshasacomparativecostadvantageinbeefwithrespectto Germany,whileGermanyhasacomparativecostadvantageincomputerchips.
TherangeformutuallybeneficialtradebetweentheUnitedStatesandGermanyforeachunitofbeefthattheUnitedStatesexportsis
2C<1B<4C
d>BoththeUnitedStatesandGermanywouldgain1chipforeachunitofbeeftraded.
Given:<1>twonations<1and2>whichhavethesametechnologybutdifferentfactorendowmentsandtastes,<2>twocommodities<XandY>producedunderincreasingcostsconditions,and<3>notransportationcosts,tariffs,orotherobstructionstotrade.Provegeometricallythatmutuallyadvantageoustradebetweenthetwonationsispossible.
Note:Youranswershouldshowtheautarky<no-trade>andfree-tradepointsofproductionandconsumptionforeachnation,thegainsfromtradeofeachnation,andexpresstheequilibriumconditionthatshouldprevailwhentradestopsexpanding.>
Ans.:SeeFigure1onpage74.
Nations1and2havedifferentproductionpossibilitiescurvesanddifferentcommunityindifferencemaps.Withthese,theywillusuallyendupwithdifferentrelativecommoditypricesinautarky,thusmakingmutuallybeneficialtradepossible.
Inthefigure,Nation1producesandconsumesatpointAandPx/Py=PAinautarky,
whileNation2producesandconsumesatpointA'andPx/Py=PA'.SincePA<PA',
Nation1hasacomparativeadvantageinXandNation2inY.Specializationin
productionproceedsuntilpointBinNation1andpointB'inNation2,atwhichPB=PB'andthequantitysuppliedforexportofeachcommodityexactlyequalsthequantitydemandedforimport.Thus,Nation1startsatpointAinproductionandconsumptioninautarky,movestopointBinproduction,andbyexchangingBCofXforCEofYreachespointEinconsumption.E>AsinceitinvolvesmoreofbothXandYandliesonahighercommunityindifferencecurve.Nation2startsatA'inproductionandconsumptioninautarky,movestopointB'inproduction,andbyexchangingB'C'ofYforC'E'ofXreachespointE'inconsumption<whichexceedsA'>.
AtPx/Py=PB=PB',Nation1wantstoexportBCofXforCEofY,whileNation2wantstoexportB'C'<=CE>ofYforC'E'<=BC>ofX.Thus,PB=PB'istheequilibriumrelativecommoditypricebecauseitclearsboth<theXandY>markets.
Drawafigureshowing:<1>inPanelAanation'sdemandandsupplycurveforA tradedcommodityandthenation'sexcesssupplyofthecommodity,<2>inPanelCthetradepartner'sdemandandsupplycurveforthesametradedcommodityanditsexcessdemandforthecommodity,and<3>inPanelBthesupplyanddemandforthequantitytradedofthecommodity,itsequilibriumprice,andwhyapriceaboveorbelowtheequilibriumpricewillnotpersist.Atanyotherprice,QDQS,andPwillchangetoP2.
Ans.SeeFigure2onpage74.
TheequilibriumrelativecommoditypriceforcommodityX<thetradedcommodity
exportedbyNation1andimportedbyNation2>isP2andtheequilibriumquantity
ofcommodityXtradedisQ2.
a>Identifytheconditionsthatmaygiverisetotradebetweentwonations.
b>WhataresomeoftheassumptionsonwhichtheHeckscher-Ohlintheoryisbased?
c>Whatdoesthistheorysayaboutthepatternoftradeandeffectoftradeonfactorprices?
Ans.a>Tradecanbebasedonadifferenceinfactorendowments,technology,ortastesbetweentwonations.Adifferenceeitherinfactorendowmentsortechnologyresultsinadifferentproductionpossibilitiesfrontierforeachnation,which,unlessneutralizedbyadifferenceintastes,leadstoadifferenceinrelativecommodityprice
andmutuallybeneficialtrade.Iftwonationsfaceincreasingcostsandhaveidenticalproductionpossibilitiesfrontiersbutdifferenttastes,therewillalsobeadifferenceinrelativecommoditypricesandthebasisformutuallybeneficialtradebetweenthetwonations.Thedifferenceinrelativecommoditypricesisthentranslatedintoadifferenceinabsolutecommoditypricesbetweenthetwonations,whichistheimmediatecauseoftrade.
b>TheHeckscher-Ohlintheory<sometimesreferredtoasthemoderntheory–as
opposedtotheclassicaltheory-ofinternationaltrade>assumesthatnationshave thesametastes,usethesametechnology,faceconstantreturnstoscale<i.e.,agivenpercentageincreaseinallinputsincreasesoutputbythesamepercentage>butdifferwidelyinfactorendowments.Italsosaysthatinthefaceofidenticaltastesordemandconditions,thisdifferenceinfactorendowmentswillresultinadifferenceinrelativefactorpricesbetweennations,whichinturnleadstoadifferenceinrelativecommoditypricesandtrade.Thus,intheHeckscher-Ohlintheory,theinternationaldifferenceinsupplyconditionsalonedeterminesthepatternoftrade.Tobenotedisthatthetwonationsneednotbeidenticalinotherrespectsinorderforinternationaltradetobebasedprimarilyonthedifferenceintheirfactorendowments.
c>TheHeckscher-Ohlintheorempostulatesthateachnationwillexportthecommodityintensiveinitsrelativelyabundantandcheapfactorandimportthecommodityintensiveinitsrelativelyscarceandexpensivefactor.Asanimportantcorollary,itaddsthatunderhighlyrestrictiveassumptions,tradewillcompletelyeliminatethepretraderelativeandabsolutedifferencesinthepriceofhomogeneousfactorsamongnations.Underlessrestrictiveandmoreusualconditions,however,tradewillreduce,butnoteliminate,thepretradedifferencesinrelativeandabsolutefactorpricesamongnations.Inanyevent,theHeckscher-Ohlintheorydoessaysomethingveryusefulonhowtradeaffectsfactorpricesandthedistributionofincomeineachnation.Classicaleconomistswerepracticallysilentonthispoint.
5. consumersdemandmoreofcommodityX<theL-intensivecommodity>andlessofcommodityY<theK-intensivecommodity>.SupposethatNation1isIndia,commodityX istextiles,andcommodityYisfood.Startingfromtheno-tradeequilibriumpositionandusingtheHeckscher-Ohlinmodel,tracetheeffectofthischangeintastesonIndia's
<a>relativecommoditypricesanddemandforfoodandtextiles,
<b>productionofbothcommoditiesandfactorprices,and
<c>comparativeadvantageandvolumeoftrade.
<d>DoyouexpectinternationaltradetoleadtothecompleteequalizationofrelativecommodityandfactorpricesbetweenIndiaandtheUnitedStates?Why?
Ans. a.Thechangeintastescanbevisualizedbyashifttowardthetextileaxisin India'sindifferencemapinsuchawaythatanindifferencecurveistangenttothesteepersegmentofIndia'sproductionfrontier<becauseofincreasingopportunitycosts>aftertheincreaseindemandfortextiles.ThiswillcausethepretraderelativecommoditypriceoftextilestoriseinIndia.
b.TheincreaseintherelativepriceoftextileswillleaddomesticproducersinIndiatoshiftlaborandcapitalfromtheproductionoffoodtotheproductionoftextiles.SincetextilesareL-intensiveinrelationtofood,thedemandforlaborandthereforethewageratewillriseinIndia.Atthesametime,asthedemandforfoodfalls,thedemandforandthusthepriceofcapitalwillfall.Withlaborbecomingrelativemoreexpensive,producersinIndiawillsubstitutecapitalforlaborintheproductionofbothtextilesandfood.
Evenwiththeriseinrelativewagesandintherelativepriceoftextiles,IndiastillremainstheL-abundantandlow-wagenationwithrespecttoanationsuchastheUnitedStates.However,thepretradedifferenceintherelativepriceoftextilesbetweenIndiaandtheUnitedStatesisnowsomewhatsmallerthanbeforethechangeintastesinIndia.Asaresultthevolumeoftraderequiredtoequalizerelativecommoditypricesandhencefactorprices
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