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·2014243CHINAPOPULATIONＲESOUＲCESANDENVIＲONMENTVol．24No．320142013-04-18。11YBA21111C0818。OLG杨妮王艳410081。OLG。。2573．877．220%10．04%。。OLGF270D57A1002－2104201403－0159－04、、、、。。20116510．48%“”7%3．4814．63%12．27%。、、“”、。。OverlappinggenerationsmodelOLG。SamuelsonDiamond1。。AuerbachKotlikoffA－K。A－K2。CasamattaOLG3LucianoOLG、4SebastianOLGSＲsequentialrecalibration5。1997OLG、、。OLGOLG6－7。OLG8OLG、、910。OLG·951··20143。OLGOLG。1OLG8。、。。tNtt。N=ntNt－1－1。1．1OLGtwtτwtc1tst。c2t+11+rt+1st、1+rt+1gtbt+1。。maxstc1tc2t+1Ut=uc1t+θuc2t+11s．t．c1t=1－τwt－stc2t+1=1+rt+1st+1+rt+1gt+bt+12θ∈01。u．u’．＞0u’’．＜0。yt=fktkt。η∈01。Euler1+ηwtrt=r'ktwt=fkt－ktf'kt1+η3btNt－1=ηwtNtgt=τwt4tt+1st+gt=1+nkt+151．2k0。。、。－u'fkt－kf'kt1+η－1+nkt()+1+θ1+f'kt+1·u'1+nkt+11+f'kt+1+1+nη1+ηftt+1－kt+1f'kt+1=061．3。。η=pp·1－αα·1+n－ρ+p·1－p·1+nρ－1+·1+n1ρ·1－αα·1+n－ρ－p·1－p·1+nρ－1+p·1+n7P、ρ、αn。2OLG。3。2．1α0．3α0．36。“”。UnitedNationsDepartmentofEco-nomicandSocialAffairs2055－206080．327“P1”。《2007》19792006n=2619．93/639．6－1=3．092。200773．8p=73．33%。η=20%。。7ρ=0．5458。·061·OLG2．2。。301。1Pη2015－202074．70．76670．21042020－202575．60．80．21892025－203076．40．82960．22512030－203577．20．85920．2297α=0．38n=3．0962ρ=0．545871。1。2573．877．220%22．97%。2．380。、、。、。27n2。2nη2015－202074．72．31330．19162020－202575．61．64050．17142025－203076．41．10320．13632030－203577．20．79280．10042。25。20%10．04%。。。3“”。。OLG、、。OLG。OLG。77．222．97%。20%10．04%。。。1DiamondA．NationalDebtinaNeoclassicalGrowthModelJ．A-mericanEconomicＲeview1965551126－1150．2AuerbachJKotlikoffJ．GenerationalAccountsAMeaningfulAlter-nativetoDeficitAccountingA．InD．Bradforded．TaxPolicyandtheEconomyC．CambridgeMITPress1991．3CasamattaG．ThePoliticalEconomyofSocialSecurityJ．Scand．J．ofEconomics20001023503－522．·161··201434LucianoFLucaG．FertilityIncomeandWelfareinanOLGModelwithＲegulatedWagesJ．Int．Ｒev．Econ200754405－427．5SebastianＲThomasＲ．ComputationofEquilibriuminOLGModelswithManyHeterogeneousHouseholdsJ．JournalofEconomics201036171－189．6．、J．20001124－32．7．2090J．2003718－27．8．OLGM．201027－45．9．J．2010546－55．10．J．2011281084－90．ＲesearchonOptimalEnterpriseContributionBasedonOLGModelYANGNiWANGYanBusinessSchoolHunanNormalUniversityChangshaHunan410081ChinaAbstractOptimizingenterprisecontributionisthekeyfactorbothforinsuringthedynamicbalanceofsocialsecurityfundandpromo-tingthereformingofpublicpensionsystem．ThispaperhasmadearesearchonoptimalenterprisecontributionbasedonOLGmodeltakingHunanprovinceforexample．Theempiricalresultshowedthatlifeexpectancygrowthwouldraiseoptimalenterprisecontributionwhilepopulationgrowthratewoulddeclinetheoptimalcontribution．Neverthelessthelatterfactormademoreinfluence．Ifbothtwofactorswereintroducedintheequilibriumequationtheoptimalenterprisecontributionwouldbereducedfrom20%to10．04%whenlifeexpectancyincreasedfrom73．8to77．2andpopulationgrowthratedeclinedinthe2030byprediction．Ｒesearchonoptimalenter-prisecontributionprovidestheorybasisandthepolicysupportformacroeconomicpolicymakingandpensionreformingpromoting．KeywordspensionreformingoptimalenterprisecontributionOLGmodellifeexpectancypopulationgrowthrate·261·