3 - MacroEconomics - Labor Market-AS-AD Model · PDF file03/10/2008 · BSP2001...

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Ushan Premaratne BSP2001 – Macroeconomics – Labor Market – AS/AD 1 LABOR MARKET ξ Noninstitutional civilian population is the number of people potentially available for civilian employment = Labor force + Out of the labor force ξ Labor force = either working + looking for work ξ Out of the labor force = neither working nor looking for work – working at home or house wives etc. ξ Therefore, participation rate = Labor Force Labor force + Out of the labor force ξ Labor force = employed + unemployed A. Movements in Unemployment ξ The effect of movements in the aggregate unemployment rate on the welfare of individual workers ξ The effect of the aggregate unemployment rate on wages. ξ Periods of higher unemployment are associated with much lower proportions of unemployed workers finding jobs o Since employed workers face a higher probability of losing their jobs o Unemployed workers face a lower probability of finding jobs; equivalently, they can expect to remain unemployed for a longer time. B. Wage Determination – Workers based ξ Workers are typically paid a wage that exceeds their reservation wage. o This is the wage that would make them indifferent between working or being unemployed. In other words, most workers are paid a high enough wage that they prefer being employed to being unemployed. ξ Wages typically depend on labor market conditions. o Unemployment rate Wages

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LABORMARKET

ξ Noninstitutionalcivilianpopulationisthenumberofpeoplepotentiallyavailableforcivilianemployment=Laborforce+Outofthelaborforce

ξ Laborforce=eitherworking+lookingforwork

ξ Outofthelaborforce=neitherworkingnorlookingforwork–workingathomeorhousewivesetc.

ξ Therefore,participationrate=LaborForceLaborforce+Outofthelaborforce

ξ Laborforce=employed+unemployed

A. MovementsinUnemployment

ξ Theeffectofmovementsintheaggregateunemploymentrateonthewelfareofindividualworkers

ξ Theeffectoftheaggregateunemploymentrateonwages.

ξ Periodsofhigherunemploymentareassociatedwithmuchlowerproportionsofunemployedworkersfindingjobs

o Sinceemployedworkersfaceahigherprobabilityoflosingtheirjobs

o Unemployedworkersfacealowerprobabilityoffindingjobs;equivalently,theycanexpecttoremainunemployedforalongertime.

B. WageDetermination–Workersbased

ξ Workersaretypicallypaidawagethatexceedstheirreservationwage.

o Thisisthewagethatwouldmakethemindifferentbetweenworkingorbeingunemployed.Inotherwords,mostworkersarepaidahighenoughwagethattheypreferbeingemployedtobeingunemployed.

ξ Wagestypicallydependonlabormarketconditions.

o Unemploymentrate Wages

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Alowerunemploymentratewouldmeanthatfirmswouldfinditdifficulttofindacceptablereplacementworkers.

Atthesametime,itiseasierforworkerstofindotherjobs.

• Therefore,workershaveastrongbargainingpowerandcanaskforhigherwages

o Unemploymentrate Wages

Ahigherunemploymentratewouldmeanthatfirmswouldfinditeasytofindacceptablereplacementworkers.

Atthesametime,itisdifficultforworkerstofindotherjobs.

• Therefore,workershaveaweakbargainingpowerandcanaskforlowerwages

o NatureoftheJob

Therequiredskillscanbehighorlowlevel.Iftrainingcostareminimumreplacementwouldbeeasierandbargainingpowerofworkersbecomeweaker.Example:McDonaldscrewversusMicrosoftprogrammers

C. EfficiencyWages–Firmbased

ξ Ifworkersarepaidonlytheirreservationwage,theywillbeindifferenttostayingorleaving.Inthiscase,manyofthemwillquit,andtheturnoverratewillbehigh.

o WagesTurnover&productivity

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1. WAGES,PRICESANDUNEMPLOYMENT

ξ TheexpectedpricelevelPe

ξ Theunemploymentrateu.

ξ Catchallvariablezthatstandsforallothervariablethatmayaffecttheoutcomeofwagesettings

A. ExpectedPriceLevel

ξ Firmsandworkerscareaboutrealwages,notnominalwages

o Ifworkersexpectthepricelevel–thepriceofthegoodstheybuy–todouble,theywillaskforadoublingoftheirnominalwage.

o Iffirmsexpectthepricelevel–priceofthegoodstheysell–todouble,theywillbewillingtodoublethenominalwage.

Therefore,anincreaseintheexpectedpricelevelleadstoanincreaseinthenominalwage,inthesameproportion.

ξ Thereasonwhywagesdependontheexpectedpricelevel,Pe, ratherthanonactualpricelevelisbecausewagesaresetinnominalterms,andwhentheyareset,therelevantpricelevelisnotyetknown.

B. Unemploymentrate

ξ Theminus(‐)signunderuindicatesthatanincreaseintheunemploymentratedecreaseswages.

W=Pe * F(u,z) (‐,+)

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C. Otherfactors

ξ Unemploymentinsuranceorunemploymentbenefitsincreasethereservationwageofunemployedworkersandsotheywouldholdoutforhigherwages.

o Unemploymentbenefits,zwages

2. PRICEDETERMINATION

ξ WhereYisoutput

ξ Nisunemployment

ξ Aislaborproductivity

o AssumptionthatoutputperworkerisconstantandequaltoA.Therefore,A=1

ξ TheproductionfunctionY=N,implies the cost of producing one more unit of output is the cost of employment one more worker, at wage, W.

ξ The marginal cost of production – the cost of producing one more unit of output – is equal to W.

ξ However, the price of that unit of output would not be equal to the marginal cost (not perfectly competitive). Therefore, the equation is adjusted to give;

ξ (1+µ)isthemarkupofthepriceovercost

Y=AN

Y=N

P=(1+µ)W

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3. STRUCTURALRATEOFUNEMPLOYMENT

A. WageSettingRelation

Dividebothsidesbythepricelevel

ξ Wagedeterminationimpliesanegativerelationbetweenrealwage,W/P,andtheunemploymentrate,u.

o UnemploymentrateRealWagesChosenbywagesetters

Higherunemploymentweakerthebargainingpowerofworkers

B. Price­SettingRelation

Invertbothsides

W=P * F(u,z) (‐,+)

W=F(u,z)P (‐,+)

P=(1+µ)W

W=.1.P(1+µ)

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ξ Thefirmwantsincreasemarkup,µ.Yourrealwagedoesnotchangemuch.Youarestillpaidthesamenominalwage,andtheproductproducedbythefirmis,atmost,asmallpartofyourconsumptionbasket.

ξ IfALLfirmsincreasemarkupConstantnominalwagerealwage

ξ Note:therealwageimpliedbypricesettingis1/(1+µ);itdoesnotdependontheunemploymentrate.

WS

PSPrice‐Settingrelation

Wage‐Settingrelation

Unemploymentrate,u

RealWage,W/P

Un

.1.(1+µ)

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4. EQUILIBRIUMREALWAGESANDUNEMPLOYMENT

ξ Equilibriumunemploymentrateiscalledthenaturalrateofunemployment.However,thepositionsofthewage‐settingandprice–settingcurves,dependonbothzandu.

ξ Increaseinunemploymentbenefits,z

o Thiswouldshiftthewagesettingcurveupandtheeconomymovesalongtheprice‐settingcurve.

o Therefore,atagivenunemploymentrate,higherunemploymentbenefitsrealwage.

Resultingin:

F(un,z)=.1.(1+µ)

RealWage,W/P

PS

Wage‐Settingrelation

UnUnemploymentrate,u

WS

A A’ Price‐Settingrelation

WS’

Un’

.1.(1+µ)

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Unemploymentrateisneededtobringtherealwagebacktowhattheformsarewillingtopay

• Economistscallthisthedisciplinedevice

ξ Alessstringentenforcementofexistinganti‐trustlegislation

o Markupshiftstheprice‐settingcurveandtheeconomymovesalongthewage‐settingcurve

Therefore,equilibriumunemployment;

o FirmsincreasetheirpricesgiventhewageRealwageunemploymentisrequiredtomakeworkersacceptthislowerrealwagenaturalrateofunemployment

WS

Unemploymentrate,u

RealWage,W/P

Un

PSPrice‐Settingrelation

Wage‐Settingrelation

.1.(1+µ)

PS’

Un’

.1.(1+µ)’

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5. FROMUNEMPLOYMENTTOEMPLOYMENT

ξ Thelevelofunemployment,U,equalsthelaborforce,L,minusemploymentN

ξ L=N+UU=L‐U

ξ Rearrangingthis:

ξ Thereforethenaturallevelrateofunemploymentis

ξ Sinceweknowthat(Y=N)frombefore

ξ Thereforesinceun=1‐Yn

L

U=U=L–N=1‐NLLL

N=L(1–u)

Nn=L(1–un)

Yn=Nn=L(1–un)

F(1–Yn,z)=1.L1+µ

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Assumethattheexpectedpricelevelisequaltotheactualpricelevel

1. Therealwagechoseninwagesettingisadecreasingfunctionoftheunemploymentrate

2. Therealwageimpliedbypricesettingisconstant

3. Equilibriuminthelabormarketrequiredthattherealwagechoseninwagesettingtobeequaltotherealwageimpliedbypricesetting.Thisdeterminestheunemploymentrate

4. Thisequilibriumunemploymentrateisknownasthenaturalrateofunemployment

5. Associatedwiththenaturalrateofunemploymentisanaturalrateofemploymentandanaturallevelofoutput.

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6. AGGREGATESUPPLY

ξ Thedifferenceinthischapteristhatwedonotimposethisadditionalassumptioni.e.pricelevelisequaltotheexpectedpricelevelinthemediumrunbutwilltypicallynotbeequaltotheexpectpricelevelintheshortrun

ξ SinceN=Yfromabove

ξ Therefore;

P=Pe*(1+µ)F(u,z)

U=U=L–N=1–N=1‐YLLLL

u=1–YL

P=Pe*(1+µ)*F(1–Y,z)L

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Output­ pricelevel

1. Anincreaseinoutputleadstoanincreaseinemployment‐YN

2. Theincreaseinemploymentleadstoadecreaseinunemploymentand,therefore,toadecreaseintheunemploymentrate‐N‐u

3. Thelowerunemploymentrateleadstoanincreaseinthenominalwage‐u­W

4. Theincreaseinthenominalwageleadstoanincreaseinthepricessetbythefirmsandtherefore,toanincreaseinthepricelevel‐W‐P

Expectedpricelevel­ actualpricelevel

1. ifwagesettersexpectthepriceleveltobehigher,theysetahighernominalwage‐Pe‐W

2. Thenominalwagesleadstocosts,whichleadstopricessetbyfirmsandahigherpricelevel–W‐P

AggregateSupplyCurve

ξ Whenoutputisabovethenaturallevelofoutput,thepriceishigherthanexpected;

o IfYistotherightofYn,PishigherthanPe.

A

A’

AS’

ASForexpectedprice

LevelPe

P’e>Pe

P=P’e

P=Pe

PriceLevel,P

Output,YYn

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ξ Whenoutputisbelowthenaturallevelofoutput,thepricelevelislowerthanexpected

o IfYistotheleftofYn,PislowerthanPe.

ξ SupposetheexpectedpricelevelincreasefromPetoP’e.

o Atagivenlevelofoutput,Ynandcorrespondinggivenunemploymentrate,theincreaseintheexpectedpricelevelsleads

W‐P

Soatanylevelofoutput,pricesarehigher–AggregatesupplycurveshiftsfromAStoAS’

7. AGGREGATEDEMAND

ISrelation

LMRelation

Y=C(Y–T)+I(Y,i)+G

M=Y*L(i)P

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Output,YY‘Y

InterestRate,i

LM(ForP)

LM’(forP’>P)

IS

Output,YY’Y

PriceLevel,P

ADP’

P

A’A

i’

i

A

A’

Note:Equilibriuminfinancialmarketsrequiresthatthesupplyofmoneyequalthedemandformoney–LMrelation

ξ Changesintherealmoneystockthatcamefromchangesinnominalmoneysupply,M,madebytheFed.

ξ ChangesintherealmoneystockM/PcanalsocomefromchangesinthepricelevelP.

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o 10%increaseinpricelevelP(increasesbottom‐decreasesM/P)hasthesameeffectontherealstockasa10%decreaseinthestockofnominalmoneyM(decreasetop‐decreasesM/P)

Bothleadstoadecreaseinrealmoneystock

ξ ISCurveisdrawnforgivenvaluesofG&T.

o Anincreaseintheinterestrateleadstodecreaseinoutputasthediagramaboveshows–i–i’leadstodecreasefromYn–Y’

o Note:LMcurveisdrawnforagivenvalueofM/P–anychangesinMorPwouldresultintheLMcurvetoshift

Therefore,pricelevelfromP–P’M/PLMcurveshiftsup

• NOTE:Amonetarycontractionnominalstock,MandM/PBUTitwouldshifttheADtotheleftunlikeprice,whichmerelymakestheeconomy,movealongthecurrentADcurve.

Now,atgivenlevelofoutput,thelowerrealmoneystockleadstoanincreaseintheinterestrate.TheeconomymovesfromAtoA’.theinterestrateincreasefromitoi’,andoutputdecreasesfromYtoY’.

AnyvariableotherthanthepricelevelshiftseitherIScurveortheLMcurvealsoshiftstheaggregatedemandrelation.

ξ Examplewouldbeadecrease/increaseingovernmentspending–decreaseinoutputasaresultofashiftofADtotheleft.

ξ Contractionarymonetarypolicy–decreasenominalmoney–decreaseoutputasaresultofashift

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AggregateRelation

Note:OutputincreasewithincreasesinM/PandGovernmentspendinganddecreaseswithT.

A. EquilibriumintheShortRun

ASRelation

ADRelation

Note:EquilibriumdependsonvaluePe–sincePedeterminesthepositionofAScurve.

Y=Y(M,G,T)P(+,+,‐)

P=Pe*(1+µ)*F(1–Y,z)L

Y=Y(M,G,T)P(+,+,‐)

BAD

AS

A

Output,YYn Y

P

Pe

PriceLevel,P

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ξ TheequilibriumistheintersectionofASandADcurvesatpointA.Thereisnoreasonwhy,equilibriumoutput,Yshouldbeequaltothenaturallevelofoutput.

B. EquilibriumintheMediumrun

ξ AsOutputexceedsthenaturallevelofoutput–theexpectedpricelevelwouldbelowerthanthecurrentpricelevel–thepricelevelwagesetterswouldexpecthighernominalwages(Pe–P’e).ThisresultsinASshiftingtoAS’

ξ ThismovementwouldcontinuetilloutputreachesYnwhereP=Pe–sincethereisnoreasonnowtochangewagesettersexpectationsofthepricelevel.

AS(forPe)

AS’’AS’(forP’e>Pe)

PriceLevel,P

ADA

Output,YYn Y

P

Pe

Y’

A’

A’’

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8. SENARIOS

1. Monetaryexpansion

DynamicsofAdjustment

ξ Ifpriceleveldidnotchange,theincreaseinnominalmoneywouldshifttheLMcurvedowntoLM’’.So,ifthepriceleveldidnotchange–aswasoutassumption–theequilibriumwouldbetheintersectionofISandLM’’,orpointB.

A(andA’’)

BIS

LM’’

LM’

LM

A’

Yn Y Output,Y

AD’(forM’>M)

AD(forNominalmoneyM)

AS

A’

A’’

A

Yn Y Output,Y

Pricelevel,P

P’

P

Interestrate,i

i

i’

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ξ However,duetochangeinpriceintheshortrun,PtoP’.theincreaseinpriceshiftstheLMcurveupwardsfromLM’’toLM’,partiallyoffsettingtheeffectoftheincreaseinnominalmoney

ξ Theneteffect:

o Increaseinnominalmoney–pushLMtoLM’’

o Increaseinpricelevel–pushLM”’toLM’

Therefore,theequilibriumisA’intheshortrunandfinallyendsupatAinthemediumrunasillustratedabovetopricewagesettersexpectationsincreasingpricestillcurveshiftsbacktoLM.

Note:ThisiswhatiscalledtheNeutralityofmoney

• Intheshortrun,amonetaryexpansionleadstoanincreaseinoutputandadecreaseininterestrateandincreaseinpricelevel

• Inthemediumrun,inincreaseinnominalmoneyisreflectedentirelyinaproportionalincreaseinpricelevelTheincreaseinnominalmoneyhasnoeffectonoutorontheinterestrate.

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2. Adecreaseinthebudgetdeficit

ξ GovernmentisrunningabudgetdeficitanddecidestoreduceitbydecreasingitsspendingfromGtoG’,whileleavingtaxes,T,unchanged.

ξ ThiswouldshiftaggregatedemandfromADtoADOutputYnY’

ξ Intheshortrun:

o TheequilibriummovesfromAtoA’;outputdecreasesandpriceleveldecreasefromPtoP’.

ξ IntheMediumRun:

o Aslongasoutputisbelownaturallevelofoutput,AScurvewouldkeeponshiftingdown.Therefore,ASwouldmovetoAS’’andtheeconomyreachespointA’’–outputYn

ξ Note:Likeaincreaseinnominalmoney,areductioninthebudgetdeficitdoesnotaffectoutputforever.Eventually,theoutputreturnstoitsnaturallevel.However,atpointA’’‐Price&interestrate

AS

AS’’

AD

AD’(G’<G)

Output,YY’ Yn

A

A’’

A’

Pricelevel,P

PP’

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ξ ThereductioninbudgetdeficitIScurvetoshifttoIS’andeconomymovesfromAtoB–pricesheldconstant.

ξ Intheshortrun:

ξ However,sincepricesdochangeinresponsetodecreaseinoutput–pricesRealmoneystock(M/P)andtheLMcurveshiftstoLM’.andeconomymovesfromBtoA’–

o Note:Nowoutputandinterestarebothlowerthanbeforethefiscalcontractionbutinvestmentmayormaynotincreaseintheshortrunasoutputinvestmentbutinterestrateinvestment

AS

ADAD’(G’>G)

A

A’’A’

YnY’ Output,Y

PP’

LM

i’

IS’

i

Yn Output,YY’

i’’

LM’’

LM’

IS

A

A’’

A’

B

PriceLevel,P

Interestrate,i

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ξ Inthemediumrun:

o Asoutputremainsbelowthenaturallevelofoutput,thepricelevelcontinuestodecline,ladingtofurtherincreaseinrealmoneystockandshiftingLMtilloutputreturntoYnoreconomyequilibriumisA’’.

EffectontheYn=C(Yn–T)+I(Yn,i)+G

ξ Incomeandtaxesareunchanged–consumptionisnotaffected

ξ Governmentspendingislowerthanbefore

ξ InvestmentishigherthanbeforethedeficitbyexactlytheamountofthedecreaseinG

o Note:mediumrun,reductioninbudgetdeficitunambiguouslyleadstoadecreaseintheinterestrateandanincreaseininvestment

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3. ChangesinthePriceofOil

Theeffectonthenaturalrateofunemploymentwhenthepriceofoilincreases

ξ Theprice‐settingrelationisrepresentedbythehorizontallineatW/P=1/(1+µ).

ξ TheinitialnaturalemploymentrateisUn.Anincreaseinthemarkupleadstoadownwardshiftoftheprice‐settingline,fromPStoPS’.

Markuprealwageimpliedbypricesetting

EquilibriummovesfromAtoA’–Realwageislowerandnaturalunemploymentishighersincegettingworkerstoacceptrealwagerequiresanunemployment

Unemploymentemploymentoutput(assumeY=N–fromabove)

WS

PS’(forµ’>µ

PS

UnemploymentRate,uUn Un’

RealWage,

W/P

1.1+µ1.1+µ’

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ShortRun–aggregateSupplyrelation

ξ Intheshortrun:

o Theincreaseinthepriceofoilshowsupasanincreaseinthemarkupµ.

o ThisleadsfirmstoincreasepricelevelatanylevelofoutputandhenceAScurveshiftsup.ThenewequilibriumisBfromA,outputislowerequalthenewlowernaturallevelofoutputY’nandpricelevelequalstheexpectedpricelevel,Pe.

o IntheshortrunonlytheASshiftsasADremainsconstantduetothebalancingouteffectoftheincreasesanddecreasesofconsumption&investmentareaffectedbyincreasingoilprices.

ξ Inthemediumrun

o Althoughoutputhasfallen,naturallevelofoutputhasfallenevenmore.

o AtpointA’,outputA’isstillabovethenewnaturallevelofoutput,Y’n,soAS’shiftstoAS’’andequilibriumatA’’.

AS

AS’AS’’

AD

A

A’

A’’

B

PriceLevel,P

Pe

Yn’ Y’ Yn Output,Y

P=Pe*(1+µ)*F(1–Y,z)L

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o Note:theendresultisanoutputisatalowerlevelthanbeforetheoilpriceincreasesbutatanewnaturallevelofoutput,Y’natahigherpricelevelthanbefore.

9. SHORTRUNVERSUSTHEMEDIUMRUN

SHORTRUN MEDIUMRUN

OutputLevel

InterestRate

PriceLevel OutputLevel

InterestRate

PriceLevel

MonetaryPolicy

Increase Decrease Increase(small)

Nochange Nochange Increase

Deficitreduction

Decrease Decrease Decrease(Small)

NoChange Decrease Decrease

Increaseinoilprice

Decrease Increase Increase Decrease Increase Increase