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1
BriefIntroduction
Content:
Studysession4:EconomicsforValuation
?Reading11::CurrencyExchangeRates:Understanding
EquilibriumValue
?Reading12:EconomicGrowthandtheInvestment
Decision
?Reading13:EconomicsofRegulation
2
r
CurrencyExchangeRate111
CalculationsofFX
3
cyExchangeRate111:Calcu■lationsofFX
CalculationsofFX
Internationalparityrelationships
BalanceofpaymentandFX
Monetary/fiscalpolicyandFX
4
CalculationsofFX
Cross-rate
Triangulararbitrage
Mark-to-marketvalueofforwardcontracts
Carrytrade
ncvExchangeRate111:CalculationsofFX
Cross-rates
目bid
cN
\o/ooffffee.rIC)offe\B)offer
bid
6
ncvExchangeRate111:CalculationsofFX
Cross-rates:Example
SFR/USD=1.5960-70,ASD/USD=1.8225-35,Calculate
ASD/SFR
Answer:
ASD/SFR;(ASD/USD)X(USD/SFR)
=(1.8225X1/1.5970)-(1.8235XI/1.5960)
ASD/SFR=1.1412-1.1425
ncvExchangeRate111:CalculationsofFX
Triangulararbitrage
ConvertingfromcurrencyAtocurrencyB,thenfrom
currencyBtocurrencyC,thenfromcurrencyCbacktoA.If
weendupwithmoreofcurrencyAattheendthanwe
startedwith,we'veearnedanarbitrageprofit.
8
CurrencvExchangeRate[11:CalculationsofFX
Triangulararbitrage:Example
USD/AUD=0.6000-0.6015
MXN/USD=10.7000-10.7200
MXN/AUD=6.3000-6.3025
Howtoarbitragefromthesemarkets?
Answer:
1USD玲1/0.6015AUD玲(l/0.6015)*6.3000MXN-
((l/0.6015)*6.3000)/10.720USD-0.97704USD,noprofit
1USD玲l*10.700MXN玲(l*10.700)/6.3025AUD玲
((l*10.700)/6.3025)*0.6000USD玲1.01864USD,arbitrage
ncvExchangeRate111:Calc■ulationsofFX
Mark-to-marketvalueofforwardcontracts
IVIark-to-Marketvalue:theprofit(orloss)thatwouldbe
realizedfromclosingoutthepositionatcurrentmarket
prices.
Iflongthebasecurrencyoriginally,themark-to-marketvalue
priortoexpirationis:
F;BContractSize
FP/B'
irdays
pricecurrency
k360
10
ncvExchangeRate[11:CalculationsofFX
Mark-to-marketvalueofforwardcontracts:Example
Yuanoriginallybought1millionUSDforwardat1.05358AUD.
Thematurityis90days.Now30dayshavepassed,the
followinginformationisavailable:
MaturityRate
Spot1.0612/1.0614
60-day+8.6/+9.0
AUDinterestrates(att=30):
60-dayrate:1.16%
Whatisthemark-to-marketvalueinAUDofYuan'sforward
contract?11
CurrencyExchangeRate[11:CalculationsofFX
Mark-to-marketvalueofforwardcontracts:Answer
TheforwardbidpriceforanewcontractexpiringinT-1=60
daysis1.0612+8.6/10,000=1.06206.
Theinterestratetousefordiscountingthevalueisalsothe
60-dayAUDinterestrateof1.16%.
Themark-to-marketvalueatt=30is:
VFtF()ContractSize1.062061.053581,000,000
[1處110.0116|,叫)
I360J1360J
8463.64
12
CurrencvExchangeRate[11:CalculationsofFX
Carrytrade
Whenuncoveredinterestrateparitydoesnothold,inaFX
carrytrade,aninvestorinvestsinahigheryieldingcurrency
usingfundsborrowedinaloweryieldingcurrency.
ifrf>rd.return*rfrd%AS
Duringperiodsoflowvolatility,carrytradestendtogenerate
positivereturns,buttheyarepronetosignificantcrashriskin
turbulenttimes.
13
ncvExchangeRate111:CalculationsofFX
Carrytrade:Example
ExchangerateforUSD/GBPis1.50todayand1.49oneyear
later.Interestrateis3%forU.Kand1%forU.S.Calculation
theprofittoborrowingintheU.S.andinvestingintheU.K.
Answer:
return=3%-1%-(1.5-1.49)/1.5=1.33%
14
mary
■
Importance:☆☆☆
Content:
?Cross-rate
?Triangulararbitrage
?Mark-to-marketvalueofforwardcontracts
?Carrytrade
Examtips:
?本任務(wù)總結(jié)了外匯計算的最常考知識點,非常重要,學(xué)員
務(wù)必掌握。
15
r
CurrencvExchangeRate121
InternationalParityRelationships
16
cyExchangeRate121:Inter■nationalParityRelationships
CalculationsofFX
Internationalparityrelationships
BalanceofpaymentandFX
Monetary/fiscalpolicyandFX
17
ncvExchangeRate121:InternationalParityRelationships
Internationalparityrelationships
Coveredinterestrateparity
Uncoveredinterestrateparity
Forwardrateparity
Purchasingpowerparity
TheinternationalFishereffect
18
ncvExchangeRate121:InternationalParityRelationships
Coveredinterestrateparity
Aninvestmentinaforeignmoneymarketinstrument
thatiscompletelyhedgedagainstexchangeraterisk
yieldsexactlythesamereturnasanotherwiseidentical
domesticmoneymarketinvestment.
Thecurrencywithhighernominalyieldwilldepreciate.
1.days
f360-
Fs,days
f/df/d一崢1
360d
days..360
之一:—i
360f
19
ncvExchangeRate121:InternationalParityRelationships
Uncoveredinterestrateparity
Thechangeinspotrateovertheinvestmenthorizon
shouldequalthedifferentialininterestratesbetween
thetwocountries.
Theinvestorisassumedtoberisk-neutral.
Theexpectedappreciation/depreciationoftheexchange
ratejustoffsetstheyielddifferential.
e
1ifl%ASfld
=>%24-i1id
fd
20
ncvExchangeRate121:InternationalParityRelationships
Forwardrateparity
Theforwardexchangeratewillbeanunbiasedpredictor
ofthefuturespotexchangerateifbothcoveredand
uncoveredinterestrateparityhold.
1fid°f/d
21
ncvExchangeRate121:InternationalParityRelationships
■
PurchasingPowerparity
AbsolutePPP:theequilibriumexchangeratebetweentwo
countriesisdeterminedentirelybytheratiooftheir
nationalpricelevels.Sf/dPf/Pd
RelativePPP:thepercentagechangeinthespotexchange
ratewillbecompletelydeterminedbythedifference
betweentheforeignanddomesticinflationrate.
Ex-anteversionofPPP:expectedinflationdifferentials
determinesforecastfutureexchangerates.%/\S;,=兀
ncvExchangeRate121:InternationalParityRelationships
TheInternationalFisherEffect
Theinterestratedifferentialbetweentwocountriesshould
beequaltotheexpectedinflationdifferentialifboth
uncoveredinterestrateparityandex-antePPPhold.
兀一
RealInterestRateParity:realinterestratewillconvergeto
thesamelevelacrossdifferentmarkets
23
ncvExchangeRate121:InternationalParityRelationships
Summary
Parityconditionsrarelyholdintheshortterm,theydohelp
formalongtermviewofexchangerates.Theexceptionis
coveredinterestrateparity,whichisenforcedbyarbitrage.
Ifbothcoveredanduncoveredinterestrateparityhold,then
forwardrateparityholds.
IfFishereffectandrealinterestrateparityhold,thenthe
internationalFishereffectholds.
Ifex-antePPPandtheinternationalFishereffecthold,then
uncoveredinterestrateparityholds.
24
Importance:☆☆☆
Content:
?Coveredinterestrateparity
?Uncoveredinterestrateparity
?Forwardrateparity
?Purchasingpowerparity
?InternationalFisherrelation
Examtips:
?重點掌握每個平價條件的結(jié)論,以及平價條件之間的關(guān)系。
25
r
CurrencyExchangeRate131
BalanceofPaymentandFX
26
cyExchangeRate131:Balan■ceofPaymentandFX
CalculationsofFX
Internationalparityrelationships
BalanceofpaymentandFX
Monetary/fiscalpolicyandFX
27
ncyExchangeRate131:BalanceofPaymentandFX
InfluenceofCurrentAccountonExchangeRates
Currentaccountinfluencesthepathofexchangerates
throughthefollowingmechanisms:
Theflowsupply/demandchannel
Theportfoliobalancechannel
Thedebtsustainabilitychannel
28
ncyExchangeRate131:BalanceofPaymentandFX
TheFlowSupply/DemandChannel
Countrywithpersistentcurrentaccountsurpluses(deficits)
wouldseetheircurrenciesappreciate(depreciate).
Theinitialgapbetweenimportsandexports.
Theresponseofimportandexportpricestochanges
intheexchangerate.
Theresponseofimportandexportdemandtothe
changeinimportandexportprices.
29
ncyExchangeRate131:BalanceofPaymentandFX
ThePortfolioBalanceChannel
Nationsrunninglargecurrentaccountsurplusesfindthat
theirholdingsofthedeficitcountry'scurrency-denominated
assetsexceedthedesiredamount,actionstoreducetheir
holdingstodesiredlevelscouldhaveanegativeimpacton
thecurrencyofthecountryrunningdeficit.
TheDebtSustainabilityChannel
WhenforeigndebtgetstoohighrelativetoGDP,foreign
investorsmayquestionthesustainabilityofdebt,leadingto
arapiddepreciationofthedeficitcountry'scurrency.
30
mary
Importance:☆☆
Content:
?Theflowsupply/demandchannel
?Theportfoliobalancechannel
?Thedebtsustainabilitychannel
Examtips:
?不是外匯的重要考點
?了解國際收支平衡對外匯的三個影響渠道
31
r
CurrencyExchangeRate141
Monetary/fiscalpolicyandFX
32
cyExchangeRate141:Monetary/FiscalPolicyandFX
--■
CalculationsofFX
Internationalparityrelationships
BalanceofpaymentandFX
Monetary/fiscalpolicyandFX
33
CurrencyExchangeRate141:Monetary/FiscalPolicyandFX
InfluencesofMonetary/FiscalPolicyonExchangeRate
Mundell-Flemingmodel(蒙代爾?弗萊明模型)
Themonetaryapproach
Theassetmarket(portfoliobalance)approach
34
cyExchangeRate141:Monetary/FiscalPolicyandFX
--■
Mundell-Flemingmodel
Assumeinflationplaysnorole.
Mundell-Flemingapproachfocusesontheshort-term
implicationsofmonetaryandfiscalpolicy.
35
cyExchangeRate141:Monetary/FiscalPolicyandFX
--■
Mundell-Flemingmodel
UnderConditionsofHighCapitalMobilityandFlexible
ExchangeRate
ExpansionaryRestrictiveMonetary
MonetaryPolicyPolicy
ExpansionaryFiscalDomesticcurrency
Indeterminate
Policyappreciate
Domesticcurrency
RestrictiveFiscalPolicyIndeterminate
depreciate
36
cyExchangeRate141:Monetary/FiscalPolicyandFX
Mundell-Flemingmodel
UnderConditionsofLowCapitalMobilityandFlexible
ExchangeRate
ExpansionaryRestrictiveMonetary
MonetaryPolicyPolicy
ExpansionaryFiscalDomesticcurrency
Indeterminate
Policydepreciate
Domesticcurrency
RestrictiveFiscalPolicyIndeterminate
appreciate
37
CurrencyExchangeRate141:Monetary/FiscalPolicyandFX
TheMonetaryApproach
Assumethatoutputisfixed,sothatmonetarypolicy
primarilyaffectsinflation,whichinturnaffectsexchange
rates.
Puremonetarymodel:PPPholdsatanypointintime
andoutputisheldconstant.Anexpansionary(restrictive)
monetarypolicyleadstoanincrease(decrease)inprice
levelandadecrease(increase)inthevalueofthe
domesticcurrency.
38
cyExchangeRate141:Monetary/FiscalPolicyandFX
TheMonetaryApproach
Dornbuschovershootingmodel
Assumesthatpricesaresticky(inflexible)intheshort
term.
Underanexpansionarymonetarypolicy,intheshortterm,
exchangeratesovershootthelong-runPPPimpliedvalues.
Thedepreciationofcurrencyisgreaterthanthe
depreciationimpliedbyPPP.Inthelongterm,exchange
ratesgraduallyincreasetowardtheirPPPimpliedvalues.
39
CurrencyExchangeRate141:Monetary/FiscalPolicyandFX
ThePortfolioBalanceApproach
Portfoliobalancemodelfocusesonthelong-term
implicationsoffiscalpolicyoncurrencyvalues.
Continuedincreasesinfiscaldeficitsareunsustainable
andinvestorsmayrefusetofundthedeficits.The
governmentwillhavetomonetizeitsdebt(i.e.zprint
money)—leadingtocurrencydepreciation.
Inthelongterm,thegovernmenthastoreversecourse
(tighterbudgetarypolicy)leadingtodepreciationofthe
domesticcurrency.
40
mary
Importance:☆☆☆
Content:
?Mundell-Flemingmodel
?Themonetaryapproach
?Theassetmarket(portfoliobalance)approach
Examtips:
■外匯的重要考點。
■務(wù)必理解貨幣政策和財政政策對匯率影響的三個分析理論。
41
r
EconomicGrowth111
Theimportanceofeconomicgrowthto
investors
42
Theimportanceofeconomicgrowthtoinvestors
Productionfunction
Theoriesofgrowth
43
micGrowthlll:theImportanceofEconomicGrowthtoInvestors
TherelationBetweenEconomicGrowthandStockPrices
P
PTheaggregatevalueofstockmarket
ETheaggregateearnings
%AP%AGDP%AE0DP%AP
Overthelong-term,growthinearningsrelativetoGDPiszero,
andgrowthintheP/Eratiowillalsobezero.
Henceoverasufficientlylongtimehorizon,thepotentialGDP
growthrateequalsthegrowthrateofaggregateequity
valuation.
44
EconomicGrowthl11:theImportanceofEconomicGrowthtoInvestors
TherelationBetweenEconomicGrowthandFixedIncome
HigherpotentialGDPgrowthimplieshigherrealinterestrates
andhigherrealassetreturnsingeneral.
HigherpotentialGDPgrowthimprovesthegeneralcredit
quality.
Theoutputgapcanbeusedasaforecastofinflationary
pressuresandchangesofmonetarypolicy.
Theoutputgapcanbeusedtoforecastbudgetarybalanceand
interestrates.
45
mary
■
Importance:☆
Content:
?Theimportanceofeconomicgrowthtostock
Examtips:
?不是重要考點,了解經(jīng)濟增長對股票和債券投資者的重要
性。
46
r
EconomicGrowth[21
ProductionFunction
47
micGrowthl21:ProductionFunction
Theimportanceofeconomicgrowthtoinvestors
Productionfunction
Theoriesofgrowth
48
EconomicGrowthl21:ProductionFunction
TheCobb-DouglasProductionFunction
YAMU。
ATotalfactorproductivity
a:Shareofoutputallocatedtocapital(K)andlabor(L)
Twoimportantproperties:
Constantreturnstoscale:increasingallinputsbyafixed
percentageleadstothesamepercentageincreasein
output.
Diminishingmarginalproductivity:theextraoutput
producedfromaone-unitincreaseinaninputdecrease,
keepingtheotherinputsunchanged.49
micGrowthl21:ProductionF■unction
ProductivityCurve
OutputperWorker
micGrowthl21:ProductionF■unction
ProductivityCurve
Growthincapitalperworker(capitaldeepening)causes
movementalongaproductivitycurve.
Thecurvatureoftherelationshipderivesfromthe
diminishingmarginalproductivityofcapital.
EconomieswillincreaseinvestmentincapitalaslongasMPK
>r.AtthelevelofMPK=r,capitaldeepeningstopsandlabor
productivitybecomesstagnant.
Technologicalgrowthcausestheproductivitycurvetoshift
upwards.
51
micGrowthl21:ProductionFunction
Solow'sGrowthAccountingEquation
AY/YAAaAKK(l-a)ALL
GrowthrateinpotentialGDP=long-termgrowthrateof
technology+c/(long-termgrowthrateofcapital)+(l-a)(long-
termgrowthrateoflabor)
aistheelasticityofoutputwithrespecttocapital
1-aistheelasticityofoutputwithrespecttolabor
ChangeinTFPmustbeestimatedasaresidual:ex-post
(realized)changeinoutputminusoutputimpliedbyex-post
changesinlaborandcapital.
52
EconomicGrowthl21:ProductionFunction
LaborProductivityGrowthAccountingEquation
YyL
AY/YAy》AL1
GrowthrateinpotentialGDP=long-termgrowthrateinlabor
productivity+long-termgrowthrateoflaborforce.
Itavoidstheneedtoestimatethecapitalinputandthe
difficultyassociatedwithcomputingtotalfactorproductivity.
ItincorporatesbothcapitaldeepeningandTFPprogressinthe
laborproductivityterm.
53
mary
Importance:☆☆☆
Content:
?Cobb-Douglasproductionfunction
?Productivitycurve
?Solow'sgrowthaccountingequation
?Laborproductivitygrowthaccountingequation
Examtips:
?掌握柯布道格拉斯生產(chǎn)函數(shù)和生產(chǎn)率曲線的特征
?記住索羅增長等式和勞動生產(chǎn)率增長等式,可能會考計算。
54
r
EconomicGrowth131
TheoriesofGrowth
55
micGrowthl31:TheoriesofGrowth
Theimportanceofeconomicgrowthtoinvestors
Productionfunction
Theoriesofgrowth
56
EconomicGrowthl31:TheoriesofGrowth
Classicalgrowththeory(byThomasMalthus)
Thegrowthinpercapitaincomeisnotpermanent.
Technologicaladvancesfinvestmentinnewcapital個好
laborproductivity個好demandforlabor個好realwages
andemployment個玲populationexplosion->percapita
incomeJ
Nomatterhowmuchtechnologyadvances,realwages
willeventuallybedrivenbacktothesubsistencelevel,
andnopermanentproductivitygrowthorimprovementin
thestandardoflivingwilloccur.
57
EconomicGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
Theeconomyisatequilibriumwhenoutput-to-capitalratiois
constant,andhencecapitalperworkerandoutputperworker
growatthesamerate(theequilibriumgrowthrate,g*).
y攵°=>Ay/yAAAaAZ/
Ay/y曲jknMjkAApa△女幼
AA/Ae
g*Ay/y\k/
1a1a
。(西塔):thegrowthrateofTFP
58
EconomicGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
Sustainablegrowthrateofoutput(G*)isequaltothe
sustainablegrowthrateofoutputpercapita,plusthegrowth
oflabor.
YyL=>AY"JAL丫
AY/Y—ALLn
1a1a
n:thegrowthrateoflabor
59
EconomicGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
Inclosedeconomy,investmentmustbefundedbydomestic
saving:l=sY,sisthefractionofincome(Y)thatissaved.
Physicalcapitalstockdepreciatesataconstantrate6(德爾塔),
thechangeinthephysicalcapitalstockis:
△KsY-5K
kK及nzUkAKK-ALpAK
\k/ksYK-Bn
60
micGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
Theequilibriumoutput-capitalratiodenotedbytheconstants
(普賽).\k/ksNK-8n
Transformthesteadystateequilibriumequationintoa
savings/investmentpercapitaequation:
61
EconomicGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
SteadystateintheNeoclassicalmodel:
micGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
Inthesteadystate:
Theoutput-to-capitalratioisconstant
Capitalperworker(k)andoutputperworker(y)growatthe
samerate0/(l-a).
Themarginalproductofcapitalisequaltotherealinterest
rate(rentalpriceofcapital).
ThemarginalproductofcapitalisalsoconstantaY/K.
Capitaldeepeninghasnoeffectonthesteadystategrowth
rateoftheeconomyoronthemarginalproductofcapital.
63
micGrowthl31:TheoriesofGrowth
Neoclassicalgrowththeory(byRobertSolow)
Inthesteadystate(Cont.):
Thegrowthrateofoutputequalstherateoflaborgrowth
plusthesteadystaterateofgrowthinoutputperworker:
0/(l-a)+n.
Highersaving(investment)rateleadstoahigheroutputper
workerandhighercapitalperworker
Highersaving(investment)ratecannotpermanentlyraise
thegrowthrateofoutputperworkerandthegrowthrateof
output.
64
micGrowthl31:TheoriesofGrowth
Endogenousgrowththeory
Endogenousgrowththeorycontendsthattechnological
growthemergesasaresultofinvestmentinbothphysical
andhumancapital.Technologicalprogressenhances
productivityofbothlaborandcapital.
Unliketheneoclassicalmodel,therearenodiminishing
marginalreturntocapitalfortheeconomyasawhole
becauseR&Dinvestmentshavepotentiallylargepositive
externalitiesorspillovereffects.
65
EconomicGrowthl31:TheoriesofGrowth
Endogenousgrowththeory
Unliketheneoclassicalmodel,thereisnosteadystate
growthrate,highersaving(investment)rate(s)impliesa
permanentlyhighergrowthrate.
66
EconomicGrowthl31:TheoriesofGrowth
ConvergenceHypotheses
Absoluteconvergencehypothesis:developingcountries,
regardlessoftheirparticularcharacteristics,willeventually
catchupwiththedevelopedcountriesandmatchthemin
percapitaoutput.
Theneoclassicalmodelassumesthatallcountrieshave
accesstothesametechnology,thisimpliesconvergence
ofpercapitagrowthratesamongallcountries.
Theneoclassicalmodeldoesnotimplyabsolute
convergence.
67
EconomicGrowthl31:TheoriesofGrowth
ConvergenceHypotheses
Conditionalconvergencehypothesis:convergenceis
conditionalonthecountrieshavingthesamesavingrate,
populationgrowthrate,andproductionfunction.
Iftheseconditionshold,theneoclassicalmodelimplies
convergencetothesamelevelofpercapitaoutputand
thesamesteadystategrowthrate.
68
micGrowthl31:TheoriesofGrowth
ConvergenceHypotheses
Clubconvergencehypothesis:onlypoorcountriesthatare
membersoftheclubareconvergingtotherichcountries.
Poorcountriescan'join'theclub(i.e.zcountrieswith
similarinstitutionalfeaturessuchassavingsrates,financial
markets,propertyrights,healthandeducationalservices,
etc.)bymakingappropriateinstitutionalchanges.
Thosecountriesthatarenotpartoftheclubmaynever
achievethehigherstandardofliving(non-convergence
trap).
69
EconomicGrowthl31:TheoriesofGrowth
ConvergenceHypotheses
Convergencebetweendevelopedanddeveloping
countriescanoc
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