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Inthischapter,youwilllearn:accountingidentitiesfortheopeneconomythesmallopeneconomymodelwhatmakesit“small”howthetradebalanceandexchangeratearedeterminedhowpoliciesaffecttradebalance&exchangerateInthischapter,youwilllearImportsandexports(%ofGDP),2019Importsandexports(%ofGDP)Inanopeneconomy,spendingneednotequaloutputsavingneednotequalinvestmentInanopeneconomy,spendingnePreliminariesEX=exports=
foreignspendingondomesticgoodsIM=imports=C
f
+I
f
+G
f
=spendingonforeigngoodsNX=netexports(a.k.a.the“tradebalance”)
=EX–IMsuperscripts:d= spendingondomesticgoodsf= spendingonforeigngoodsPreliminariesEX=exports=
fGDP=expenditureon
domesticallyproducedg&sGDP=expenditureon
domesticThenationalincomeidentity
inanopeneconomyY=C+I+G+NXor,NX
=Y
–
(C
+I
+G
)netexportsdomesticspendingoutputThenationalincomeidentity
Tradesurplusesanddeficitstradesurplus:
output>spendingandexports>imports
Sizeofthetradesurplus=NXtradedeficit:
spending>outputandimports>exports
Sizeofthetradedeficit=–NXNX=EX–IM=Y
–
(C
+I+G)TradesurplusesanddeficitstrInternationalcapitalflowsNetcapitaloutflow= S–I= netoutflowof“loanablefunds”= netpurchasesofforeignassets
thecountry’spurchasesofforeignassets
minusforeignpurchasesofdomesticassetsWhenS>I,countryisanetlenderWhenS<I,countryisanetborrowerInternationalcapitalflowsNetThelinkbetweentrade&cap.flowsNX
=Y
–
(C
+I
+G) implies
NX =(Y
–C
–G)–I
=S–Itradebalance=netcapitaloutflowThus,
acountrywithatradedeficit(NX<0)
isanetborrower(S<
I).Thelinkbetweentrade&cap.Saving,investment,andthetradebalance(percentofGDP)1960-2019tradebalance(rightscale)savinginvestmentSaving,investment,andthetrU.S.:“Theworld’slargestdebtornation”Everyyearsince1980s:hugetradedeficitsand
netcapitalinflows,i.e.netborrowingfromabroadAsof12/31/2009:U.S.residentsowned$18.4trillionworthofforeignassetsForeignersowned$21.1trillionworthof
U.S.assetsU.S.netindebtednesstorestoftheworld:
$2.7trillion--higherthananyothercountry,henceU.S.isthe“world’slargestdebtornation”U.S.:“Theworld’slargestdebSavingandinvestmentina
smallopeneconomyAnopen-economyversionoftheloanablefundsmodelfromChapter3.Includesmanyofthesameelements:productionfunctionconsumptionfunctioninvestmentfunctionexogenouspolicyvariablesSavingandinvestmentina
smNationalsaving:
ThesupplyofloanablefundsrS,IAsinChapter3,
nationalsavingdoesnotdependontheinterestrateNationalsaving:
ThesupplyAssumptionsaboutcapitalflowsa. domestic&foreignbondsareperfectsubstitutes(samerisk,maturity,etc.)b. perfectcapitalmobility:
norestrictionsoninternationaltradeinassetsc. economyissmall:
cannotaffecttheworldinterestrate,denotedr*a&bimplyr=r*cimpliesr*
isexogenousAssumptionsaboutcapitalflowInvestment:
ThedemandforloanablefundsInvestmentisstilla
downward-slopingfunction
oftheinterestrate,r
*buttheexogenous
worldinterestrate……determinesthe
country’slevelof
investment.I
(r*
)rS,II
(r
)Investment:
ThedemandforlIftheeconomywereclosed…rS,II
(r
)rc…theinterestratewouldadjustto
equate
investment
andsaving:Iftheeconomywereclosed…rS,Butinasmallopeneconomy…rS,II
(r
)rcr*I
1theexogenousworldinterestratedeterminesinvestment……andthedifferencebetweensavingandinvestmentdeterminesnetcapitaloutflowandnetexportsNXButinasmallopeneconomy…rSNext,threeexperiments:1.
Fiscalpolicyathome2.
Fiscalpolicyabroad3.
Anincreaseininvestmentdemand
(exercise)Next,threeexperiments:1. Fis1.FiscalpolicyathomerS,II
(r
)I
1AnincreaseinGordecreaseinTreducessaving.NX1NX2Results:
1.FiscalpolicyathomerS,INXandthefederalbudgetdeficit
(%ofGDP),1965-2009-6%-4%-2%0%2%-4%-2%0%2%4%6%8%1965197019751980198519902019200020192019Netexports
(rightscale)Budgetdeficit
(leftscale)NXandthefederalbudgetdefi2.FiscalpolicyabroadrS,II
(r
)Expansionaryfiscalpolicyabroadraisestheworldinterestrate.NX1NX2Results:
2.FiscalpolicyabroadrS,IINOWYOUTRY:
3.AnincreaseininvestmentdemandrS,II
(r
)1UsethemodeltodeterminetheimpactofanincreaseininvestmentdemandonNX,S,I,and
netcapitaloutflow.NX1I
1SNOWYOUTRY:
3.AnincreaseANSWERS:
3.AnincreaseininvestmentdemandrS,II
(r
)1I>0,S=0,netcapitaloutflowandNX
fall
bythe
amountI
NX2NX1I
1I
2SI
(r
)2ANSWERS:
3.AnincreaseinThenominalexchangeratee= nominalexchangerate,
therelativepriceof
domesticcurrency
intermsofforeigncurrency (e.g.YenperDollar)Thenominalexchangeratee=Afewexchangerates,asof11/01/2019countryexchangerateEuroarea0.72Euro/$Indonesia8,930Rupiahs/$Japan80.6Yen/$Mexico12.4Pesos/$Russia30.8Rubles/$SouthAfrica7.0Rand/$U.K.0.62Pounds/$Afewexchangerates,asof11Therealexchangerate
= realexchangerate,
therelativepriceof
domesticgoods
intermsofforeigngoods (e.g.JapaneseBigMacsperU.S.BigMac)thelowercaseGreekletterepsilonεTherealexchangerate= rUnderstandingtheunitsofεεUnderstandingtheunitsofεεonegood:BigMacpriceinJapan:
P*=200YenpriceinUSA:
P=$2.50nominalexchangerate
e=120Yen/$TobuyaU.S.BigMac,someonefromJapan
wouldhavetopayanamountthatcouldbuy
1.5JapaneseBigMacs.ε~McZample~onegood:BigMacTobuyaU.Sεintherealworld&ourmodelIntherealworld:
Wecanthinkofεastherelativepriceof
abasketofdomesticgoodsintermsofabasketofforeigngoodsInourmacromodel:
There’sjustonegood,“output.”
Soεistherelativepriceofonecountry’soutputintermsoftheothercountry’soutputεintherealworld&ourmodHowNXdependsonε
ε
U.S.goodsbecomemoreexpensiverelativetoforeigngoods
EX,IM
NXHowNXdependsonεε U.U.S.netexportsandtherealexchangerate,1973-2009NX(%ofGDP)Index(March1973=100)020406080100120140-8%-6%-4%-2%0%2%4%197019751980198519902019200020192019Netexports
(leftscale)Trade-weightedrealexchangerateindexU.S.netexportsandtherealThenetexportsfunctionThenetexportsfunctionreflectsthisinverserelationshipbetweenNXandε
:
NX=NX(ε
)ThenetexportsfunctionTheneTheNXcurvefortheU.S.0NXεNX
(ε)ε1Whenεisrelativelylow,
U.S.goodsarerelativelyinexpensiveNX(ε1)soU.S.netexportswill
behighTheNXcurvefortheU.S.0NXεNTheNXcurvefortheU.S.0NXεNX
(ε)ε2Athighenoughvaluesof
ε,
U.S.goodsbecomesoexpensivethatNX(ε2)weexportlessthanweimportTheNXcurvefortheU.S.0NXεNHowεisdeterminedTheaccountingidentitysaysNX=S
–
IWesawearlierhowS
–
Iisdetermined:Sdependsondomesticfactors(output,fiscalpolicyvariables,etc)Iisdeterminedbytheworldinterest
rater
*So,ε
mustadjusttoensureHowεisdeterminedTheaccounHowεisdeterminedNeitherS
norIdependonε,
sothenetcapitaloutflowcurveisvertical.εNXNX(ε
)εadjuststoequateNX
withnetcapitaloutflow,S
-
I.ε
1NX
1HowεisdeterminedNeitherSInterpretation:supplyanddemand
intheforeignexchangemarketdemand:
ForeignersneeddollarstobuyU.S.netexports.εNXNX(ε
)supply:Netcapitaloutflow(S
-
I
)
isthesupplyofdollarstobeinvestedabroad.ε
1NX
1Interpretation:supplyanddeNext,fourexperiments:1.
Fiscalpolicyathome2.
Fiscalpolicyabroad3.
Anincreaseininvestmentdemand
(exercise)4.
TradepolicytorestrictimportsNext,fourexperiments:1. Fisc1.FiscalpolicyathomeAfiscalexpansionreducesnationalsaving,netcapitaloutflow,andthesupplyofdollars
intheforeignexchangemarket……causingtherealexchangeratetoriseandNXtofall.εNXNX(ε
)ε
1NX
1NX
2ε
21.FiscalpolicyathomeAfis2.FiscalpolicyabroadAnincreaseinr*reducesinvestment,increasingnetcapitaloutflowandthesupplyofdollarsintheforeignexchangemarket……causingtherealexchangeratetofallandNXtorise.εNXNX(ε
)NX
1ε
1ε
2NX
22.FiscalpolicyabroadAnincNOWYOUTRY:
3.IncreaseininvestmentdemandNX(ε
)ε
1NX
1εNXDeterminetheimpactofanincreaseininvestmentdemandonnetexports,netcapitaloutflow,
andtherealexchangerateNOWYOUTRY:
3.IncreaseinANSWERS:
3.IncreaseininvestmentdemandAnincreaseininvestmentreducesnetcapitaloutflowandthesupply
ofdollarsintheforeignexchangemarket…NX(ε
)ε
1NX
1NX
2ε
2εNX…causingtherealexchangeratetoriseandNXtofall.ANSWERS:
3.Increaseininv4.
TradepolicytorestrictimportsεNXNX
(ε
)1NX1ε
1NX
(ε
)2Atanygivenvalueofε,animportquota IM
NX demandfor dollarsshifts rightTradepolicydoesn’taffectSorI
,socapitalflowsandthesupplyofdollarsremainfixed.ε
24.Tradepolicytorestricti4.
TradepolicytorestrictimportsεNXNX
(ε
)1NX1ε
1NX
(ε
)2Results:ε
>0
(demandincrease)NX=0
(supplyfixed)IM<0
(policy)EX<0
(riseinε
)ε
24.TradepolicytorestrictiThedeterminantsofthe
nominalexchangerateStartwiththeexpressionfortherealexchangerate:Solveforthenominalexchangerate:Thedeterminantsofthe
nominThedeterminantsofthe
nominalexchangerateSoe
dependsontherealexchangerateandthepricelevelsathomeandabroad……andweknowhoweach
ofthemisdetermined:Thedeterminantsofthe
nominThedeterminantsofthe
nominalexchangerateRewritethisequationingrowthrates
(see“arithmetictricksforworkingwithpercentagechanges,”Chap2):Foragivenvalueofε,
thegrowthrateofeequalsthedifferencebetweenforeignanddomesticinflationrates.Thedeterminantsofthe
nominInflationdifferentialsandnominalexchangeratesforacrosssectionofcountries%changeinnominalexchangerateinflationdifferentialIcelandMexicoU.K.S.KoreaJapanSingaporeCanadaAustraliaS.AfricaPakistanInflationdifferentialsandnoPurchasingPowerParity(PPP)Twodefinitions:Adoctrinethatstatesthatgoodsmustsellatthesame(currency-adjusted)priceinallcountries.Thenominalexchangerateadjuststoequalizethecostofabasketofgoodsacrosscountries.Reasoning:arbitrage,thelawofonepricePurchasingPowerParity(PPP)TPurchasingPowerParity(PPP)PPP: eP=P*
Costofabasketofdomesticgoods,inforeigncurrency.Costofabasketofdomesticgoods,indomesticcurrency.Costofabasketofforeigngoods,inforeigncurrency.Solvefore: e=P*/P
PPPimpliesthatthenominalexchangeratebetweentwocountriesequalstheratioofthecountries’pricelevels.PurchasingPowerParity(PPP)PPurchasingPowerParity(PPP)Ife=P*/P,
thenandtheNXcurveishorizontal:εNXNXε
=1S
-
IUnderPPP,changesin
(S–
I)havenoimpactonε
ore.PurchasingPowerParity(PPP)IDoesPPPholdintherealworld?No,fortworeasons:1. Internationalarbitragenotpossible.nontradedgoodstransportationcosts2. Differentcountries’goodsnotperfectsubstitutes.Yet,PPPisausefultheory:It’ssimple&intuitive.Intherealworld,nominalexchangerates
tendtowardtheirPPPvaluesoverthelongrun.DoesPPPholdintherealworlnochangenochangenochangenochange129.4-2.019.46.317.43.9115.1-0.319.91.119.62.2closedeconomysmallopeneconomyactualchangeεNXIrSG–T1980s1970sData:decadeaverages;allexceptrandεareexpressedasapercentofGDP;εisatrade-weightedindex.
CASESTUDY:
TheReagandeficitsrevisitednochangenochangenochaTheU.S.asalargeopeneconomySofar,we’velearnedlong-runmodelsfor
twoextremecases:closedeconomy(chap.3)smallopeneconomy(chap.5)Alargeopeneconomy–liketheU.S.–falls
betweenthesetwoextremes.Theresultsfromlargeopeneconomyanalysis
areamixtureoftheresultsforthe
closed&smallopeneconomycases.Forexample…TheU.S.asalargeopeneconoNXIrlargeopen
economysmallopeneconomyclosedeconomyAfiscalexpansioninthreemodelsfalls,butnotasmuchasinsmallopeneconomyfallsno
changefalls,butnotasmuch
asinclosedeconomyno
changefallsrises,butnotasmuch
asinclosedeconomyno
changerisesAfiscalexpansioncausesnationalsavingtofall.
Theeffectsofthisdependonopenness&size:NXIrlargeopen
economysmalloChapterSummaryNetexports--thedifferencebetweenexportsandimpor
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