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1、DerivingtheDividendDiscountModelintheIntermediate金融學(xué)跨期消費(fèi)模型研究不同時(shí)間人們的消費(fèi)行為,涉及時(shí)間因素的的消費(fèi)和儲(chǔ)蓄。即消費(fèi)者不必將每期的收入用光,他可以選擇儲(chǔ)蓄,也可以選擇貸款。其預(yù)算約束線的斜率與利率有關(guān),為-(1+R),R是利率,然后再此預(yù)算約束現(xiàn)的情況下研究消費(fèi)者偏好。分析的結(jié)果一般為:利率提高,人們選擇少消費(fèi),更傾向于儲(chǔ)蓄,利率降低,人們會(huì)多消費(fèi),傾向于借貸。那它的方程是什么樣子的?假設(shè)只有兩期,C是消費(fèi),M是收入:C2=M2+(1+R)(m1-c1)1,2都是角標(biāo)。weem
2、ployedastandardtwo-periodmodelwithconsumersmaximizingutilityU(C1,C2).Income(I)inbothperiodsisknown,thepriceofaunitofconsumption(C)inbothperiodsisequaltoone,andtheindividualcanborroworlendatthesamerisk-freeinterestrate(rf).Themaximizingagenthastwobudgetconstraintsoverthetw
3、operiods.Inthefirstperiod,I1=C1+BwhereBisthedollarvalueofthebondspurchased.Inthesecondperiod,I2+(1+rf)B=C2FIGURE1Intertemporalconsumptionmodel.Fromthefirstbudgetconstraint,B=I1?C1andsubstitutingthatintothesecondbudgetconstraint,thisgivestheequationforthebudgetconstraintli
4、neasC2=I2+(1+rf)(I1?C1)Theequilibriumconditionisthenstraightforwardtoderiveasfollows:Themarginalrateofsubstitution(MRS)isthetradeoffofcurrentconsumptionforfutureconsumptionthatleavestheindividualindifferent;putdifferently,theminimumamountnecessarytoreceiveinthefuturetogiv
5、eupaunitofconsumptiontoday.Aslongasthereturn(1+rf)isgreaterthantheMRSofcurrentandfutureconsumption,theindividualwillpostponeconsumptionandincreasehisutility.Theindividualwillcontinuegivingupcurrentconsumptionpreciselytothepointwherethereturnofthebondisjustsufficienttocomp
6、ensatehimforwaiting.TheimportantaspectistheconceptofdiminishingMRS,thatwitheachadditionalunitofpostponedcurrentconsumptiontheindividualrequiresahigherreturn(slopeofindifferencecurvegetssteeperasonemovesfromrighttoleft).Inafinanceclass,thestudenttypicallylearnsthenetpresen
7、tvalue(NPV)criteriaforinvestmentprojectsasevaluatingallprojects,rankedfromhighesttolowestrateofreturn(ROR),againsttheopportunitycostofcapital,whichisassumedtobeconstant.Todirectlycomparetheintertemporalconsumptionmodeltoconceptsinfinancerequiresconsiderationofastandardcon
8、caveinvestmentopportunitysetthatranksinvestmentprojectsfromrighttoleftbyhighesttolowestratesofre