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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