宏观820.docx

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宏观820

第八章

1.theaggregatesupplyrelation:

Accordingtothisequation:

1)Anincreaseintheexpectedinflation,e,leadstoanincreaseininflation,.

2)Givenexpectedinflatione,anincreaseinthemarkup,,oranincreaseinthefactorsthataffectwagedetermination,z,leadtoanincreaseininflation.

3)Givenexpectedinflation,e,anincreaseintheunemploymentrate,u,leadstoadecreaseininflation,.

2.Ifwesetet=0(when

),then:

ThisisthenegativerelationbetweenunemploymentandinflationthatPhillipsfoundfortheUnitedKingdom,andSolowandSamuelsonfoundfortheUnitedStates(ortheoriginalPhillipscurve,itmeansthatwagesettersexpectthatthepricelevelinnextyearisequaltothatincurrentyear,i.e.,inflationwillbeequaltozero).

3.theearlyincarnation

Thewage-pricespiral:

GivenPet=Pt-1:

▪Lowunemploymentleadstoahigherwage.

▪Inresponsetothehigherwage,firmsincreasetheirprices.

▪Inresponse,workersaskforahigherwage.

▪Higherwageleadsfirmstofurtherincreaseprices.

▪Thisfurtherincreaseswagesaskedforbyworkers.

▪Theracecontinuesoverwagesandpriceinflation.

4.Mutations

1)Intheequationabove,whenequalszero,therelationbetweentheinflationrateandtheunemploymentrateis:

2)Whenispositive,theinflationratedependsonboththeunemploymentrateandlastyear’sinflationrate:

3)Whenispositive,theinflationratedependsonboththeunemploymentrateandlastyear’sinflationrate:

5.TheoriginalPhillipscurveis:

ThemodifiedPhillipscurve,alsocalledtheexpectations-augmentedPhillipscurve,ortheaccelerationistPhillipscurve,is:

 

第九章

1.Output,Unemployment,andInflation

Thischaptercharacterizestheeconomybythreerelations:

ØOkun’sLaw,whichrelatesthechangeinunemploymenttooutputgrowth.

ØThePhillipscurve,whichrelatesthechangesininflationtounemployment.

ØTheaggregatedemandrelation,whichrelatesoutputgrowthtobothnominalmoneygrowthandinflation.

2.Okun’slaw

Accordingtotheequationabove,thechangeintheunemploymentrateshouldbeequaltothenegativeofthegrowthrateofoutput.

Forexample,ifoutputgrowthis4%,thentheunemploymentrateshoulddeclineby4%.

Note:

Thisequationisderivedfromfollowingtwoconvenientbutrestrictiveassumption:

ØOutputmovedoneforonewithemployment,ie.Y=N;

ØLaborforcewasconstant,sochangesinemploymentwasreflectedoneforoneinoppositechangesinunemployment.

TheactualrelationbetweenoutputgrowthandthechangeintheunemploymentrateisknownasOkun’slaw.

Usingthirtyyearsofdataintheunitedstates,therelationthatbestfitsthedataisgivenby:

3.Theeffectsofmoneygrowth

ØOkun’slawrelatesthechangeintheunemploymentratetothedeviationofoutputgrowthfromnormal:

ØThePhillipscurverelatesthechangeininflationtothedeviationoftheunemploymentratefromthenaturalrate:

ØTheaggregatedemandrelationrelatesoutputgrowthtothedifferencebetweennominalmoneygrowthandinflation.

4.Themediumrun

ØInthemediumrun,theunemploymentratemustbeconstant,

ØThenaccordingOkun’slaw,theoutputmustgrowatitsnormalrateofgrowth

ØInthemediumrun,accordingtheaggregatedemandrelation,theinflationmustbeequaltonominalmoneygrowthminusnormaloutputgrowth.

Ifwedefineadjustednominalmoneygrowthasequaltonominalmoneygrowthminusnormaloutputgrowth,sointhemediumrun,inflationequalsadjustednominalmoneygrowth.

Ifinflationisconstant---equalsadjustednominalmoneygrowth,accordingtothephillipscurve,theunemploymentratemustequaltothenaturalrateofunemployment.

Let’ssummarize:

Inthemediumrun,outputisequaltothenormalgrowthrate;unemploymentisequaltothenaturalrate,bothofthemareindependentofnominalmoneygrowth.

Sonominalmoneygrowthaffectsonlyinflation-----changesinthelevelofnominalmoneyareneutralinthemediumrun,whicharereflectedoneforoneinchangesintherateofinflation..

“Inflationisalwaysandeverywhereamonetaryphenomenon.”_Miltonfriedman

5.Thefirstpass

InthePhillipscurverelationabove,disinflation—adecreaseininflationrate—canbeobtainedonlyatthecostofhigherunemployment.(note:

deflation—decreaseinthepricelevel,equivalentnegativeinflation)

 

第十章

1.Thefactsofgrowth

Growthisthesteadyincreaseinaggregateoutputovertime.

2.Thegrowthinrichcountries

OutputpercapitaequalsGDPdividedbypopulation.

Thestandardoflivingdependsontheevolutionofoutputpercapita,nottotaloutput.

3.ThedecreaseingrowthratessincetheMid-1970

Averyusefulruleisthe“ruleof70.”Ifavariablegrowsatx%ayear,thenitwilltakeapproximately70/xyearsforthevariabletodouble.

4.Theaggregateproductionfunction

Theaggregateproductionfunctionisaspecificationoftherelationbetweenaggregateoutputandtheinputsinproduction.

Y=aggregateoutput.

K=capital—thesumofallthemachines,plants,andofficebuildingsintheeconomy.

N=labor—thenumberofworkersintheeconomy.

ThefunctionF,tellsushowmuchoutputisproducedforgivenquantitiesofcapitalandlabor.

5.Thesourcesofgrowth

 

Usingtheaboveequation,wecannowdeterminewheregrowthcomesfrom:

A)Increasesinoutputperworker(Y/N)cancomefromincreasesincapitalperworker(K/N).

B)Ortheycancomefromimprovementsinthestateoftechnologythatshifttheproductionfunction,F,andleadtomoreoutputperworkergivencapitalperworker.

 

Growthcomesfromcapitalaccumulationandfromtechnologicalprogress.

Wecanthinkofgrowthascomingfromcapitalaccumulationandfromtechnologicalprogress,butthesetwofactorsplayverydifferentrolesinthegrowthprocess:

a)Capitalaccumulationbyitselfcannotsustaingrowth.

b)Sustainedgrowthrequiressustainedtechnologicalprogress.Therateofgrowthofoutputpercapitaiseventuallydeterminedbytheeconomy’srateoftechnologicalprogress.

 

第十一章

1.Interactionsbetweenoutputandcapital

Atthecenterofthedeterminationofoutputinthelongrunaretworelationsbetweenoutputandcapital:

a)Theamountofcapitaldeterminestheamountofoutputbeingproduced.

b)Theamountofoutputdeterminestheamountofsavingandinvestment,andsotheamountofcapitalbeingaccumulated.

2.Outputandinvestment

Wemakethreeassumptionstoderivetherelationbetweenoutputandinvestment:

1)Weassumetheeconomyisclosed.

2)Weassumepublicsaving,T–G,isequaltozero.

3)Weassumethatprivatesavingisproportionaltoincome,so

Combiningthesetworelationsgives:

3.Investmentandaccumulation

Theevolutionofthecapitalstockisgivenby:

denotestherateofdepreciation.

Combiningtherelationfromoutputtoinvestment,,andtherelationfrominvestmenttocapitalaccumulation,weobtainthesecondimportantrelationwewanttoexpress,fromoutputtocapitalaccumulation:

 

OutputandCapitalperWorker:

 

Rearrangingtermsintheequationabove,wecanarticulatethechangeincapitalperworkerovertime:

 

Inwords:

thechangeinthecapitalstockperworker(leftside)isequaltosavingperworkerminusdepreciation(rightside).

4.Dynamicsofcapitalandoutput

 

Fromourmainrelationsabove,weexpressoutputperworker(Y/N)intermsofcapitalperworkertoderivetheequationbelow:

 

Thisrelationdescribeswhathappenstocapitalperworker.Fromthisrelationweknow:

a)Ifinvestmentperworkerexceedsdepreciationperworker,thechangeincapitalperworkerispositive:

Capitalperworkerincreases.

b)Ifinvestmentperworkerislessthandepreciationperworker,thechangeincapitalperworkerisnegative:

Capitalperworkerdecreases.

c)Thisrelationcontainsalltheinformationweneedtounderstandthedynamicofcapitalandoutputovertime.

 

 

5.Steady-statecapitalandoutput

Thestateinwhichoutputperworkerandcapitalperworkerarenolongerchangingiscalledthesteadystateoftheeconomy.Insteadystate,theleftsideoftheequationaboveequalszero,then:

 

Giventhesteadystateofcapitalperworker(K*/N),thesteady-statevalueofoutputperworker(Y*/N),isgivenbytheproductionfunction:

 

6.Thesavingrateandoutput

Threeobservationsabouttheeffectsofthesavingrateonthegrowthrateofoutputperworkerare:

1)Thesavingratehasnoeffectonthelongrungrowthrateofoutputperworker,whichisequaltozero.

2)Nonetheless,thesavingratedeterminesthelevelofoutputperworkerinthelongrun.Otherthingsequal,countrieswithahighersavingratewillachievehigheroutputperworkerinthelongrun.

3)Anincreaseinthesavingratewillleadtohighergrowthofoutputperworkerforsometime,butnotforever.Thatis,thesavingratedoesnotaffectthelong-rungrowthrateofoutputperworker.Afterahighersavingrate,growthwillendoncetheeconomyreachesitsnewsteadystate.

第十二章、十三章为理解内容

第十八章

1.Opennessingoodsandfinancialmarkets

Opennesshasthreedistinctdimensions:

1)Opennessingoodsmarkets,whichallowspeopletochoosebetweendomesticgoodsandforeigngoods.Animportantdeterminantoftheirdecisionsistherealexchangerate---therelativepriceofdomesticgoodsintermsofforeigngoods.whatweareconcernedaboutisFreetraderestrictionsincludetariffsandquotas.

2)Opennessinfinancialmarkets,wichallowspeopletochoosebetweendomesticassetsandforeignassets.Thisimposesatightrelationbetweentheexchangerate,bothcurrent

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