投资决策的其它方案讲义

ChapterOutline6.1WhyUseNetPresentValue?6.2ThePaybackPeriodRule6.3TheDiscountedPaybackPeriodRule6.4TheAverageAccountingReturn6.5TheInternalRateofReturn6.6ProblemswiththeIRRApproach6.7TheProfitabilityIndex6.8ThePracticeofCapitalBudgeting6.9SummaryandConclusions6.1WhyUseNetPresentValue?AcceptingpositiveNPVprojectsbenefitsshareholders.NPVusescashflowsNPVusesallthecashflowsoftheprojectNPVdiscountsthecashflowsproperlyTheNetPresentValue(NPV)RuleNetPresentValue(NPV)=TotalPVoffutureCF’s+InitialInvestmentEstimatingNPV:1.Estimatefuturecashflows:howmuch?andwhen?2.Estimatediscountrate3.EstimateinitialcostsMinimumAcceptanceCriteria:AcceptifNPV>0RankingCriteria:ChoosethehighestNPVGoodAttributesoftheNPVRule1.Usescashflows2.UsesALLcashflowsoftheproject3.DiscountsALLcashflowsproperlyReinvestmentassumption:theNPVruleassumesthatallcashflowscanbereinvestedatthediscountrate.6.2ThePaybackPeriodRuleHowlongdoesittaketheprojectto“payback”itsinitialinvestment?PaybackPeriod=numberofyearstorecoverinitialcostsMinimumAcceptanceCriteria:setbymanagementRankingCriteria:setbymanagementThePaybackPeriodRule(continued)Disadvantages:IgnoresthetimevalueofmoneyIgnorescashflowsafterthepaybackperiodBiasedagainstlong-termprojectsRequiresanarbitraryacceptancecriteriaAprojectacceptedbasedonthepaybackcriteriamaynothaveapositiveNPVAdvantages:EasytounderstandBiasedtowardliquidity6.3TheDiscountedPaybackPeriodRuleHowlongdoesittaketheprojectto“payback”itsinitialinvestmenttakingthetimevalueofmoneyintoaccount?Bythetimeyouhavediscountedthecashflows,youmightaswellcalculatetheNPV.6.4TheAverageAccountingReturnRuleAnotherattractivebutfatallyflawedapproach.RankingCriteriaandMinimumAcceptanceCriteriasetbymanagementDisadvantages:IgnoresthetimevalueofmoneyUsesanarbitrarybenchmarkcutoffrateBasedonbookvalues,notcashflowsandmarketvaluesAdvantages:TheaccountinginformationisusuallyavailableEasytocalculate6.5TheInternalRateofReturn(IRR)RuleIRR:thediscountthatsetsNPVtozeroMinimumAcceptanceCriteria:AcceptiftheIRRexceedstherequiredreturn.RankingCriteria:SelectalternativewiththehighestIRRReinvestmentassumption:AllfuturecashflowsassumedreinvestedattheIRR.Disadvantages:Doesnotdistinguishbetweeninvestingandborrowing.IRRmaynotexistortheremaybemultipleIRRProblemswithmutuallyexclusiveinvestmentsAdvantages:EasytounderstandandcommunicateTheInternalRateofReturn:ExampleConsiderthefollowingproject:0123$50$100$150-$200Theinternalrateofreturnforthisprojectis19.44%TheNPVPayoffProfileforThisExampleIfwegraphNPVversusdiscountrate,wecanseetheIRRasthex-axisintercept.IRR=19.44%6.6ProblemswiththeIRRApproachMultipleIRRs.AreWeBorrowingorLending?TheScaleProblem.TheTimingProblem.MultipleIRRsTherearetwoIRRsforthisproject:0 1 2 3$200 $800-$200-$800100%=IRR20%=IRR1Whichoneshouldweuse?TheScaleProblemWouldyourathermake100%or50%onyourinvestments?Whatifthe100%returnisona$1investmentwhilethe50%returnisona$1,000investment?TheTimingProblem0 1 2 3$10,000$1,000 $1,000-$10,000ProjectA0 1 2 3$1,000 $1,000 $12,000-$10,000ProjectBThepreferredprojectinthiscasedependsonthediscountrate,nottheIRR.TheTimingProblem10.55%=crossoverrate12.94%=IRRB16.04%=IRRACalculatingtheCrossoverRateComputetheIRRforeitherproject“A-B”or““B-A””10.55%=IRRMutuallyExclusivevs.IndependentProjectMutuallyExclusiveProjects:onlyONEofseveralpotentialprojectscanbechosen,e.g.acquiringanaccountingsystem.RANKallalternativesandselectthebestone.IndependentProjects:acceptingorrejectingoneprojectdoesnotaffectthedecisionoftheotherprojects.MustexceedaMINIMUMacceptancecriteria.6.7TheProfitabilityIndex(PI)RuleMinimumAcceptanceCriteria:AcceptifPI>1RankingCriteria:SelectalternativewithhighestPIDisadvantages:ProblemswithmutuallyexclusiveinvestmentsAdvantages:MaybeusefulwhenavailableinvestmentfundsarelimitedEasytounderstandandcommunicateCorrectdecisionwhenevaluatingindependentprojects6.8ThePracticeofCapitalBudgetingVariesbyindustry:Somefirmsusepayback,othersuseaccountingrateofreturn.ThemostfrequentlyusedtechniqueforlargecorporationsisIRRorNPV.ExampleofInvestmentRulesComputetheIRR,NPV,PI,andpaybackperiodforthefollowingtwoprojects.Assumetherequiredreturnis10%.YearProjectA ProjectB0 -$200-$1501 $200 $502 $800 $1003 -$800$150ExampleofInvestmentRulesProjectA ProjectBCF0-$200.00-$150.00PV0ofCF1-3$241.92$240.80NPV= $41.92$90.80IRR= 0%,100% 36.19%ExampleofInvestmentRulesPaybackPeriod:ProjectA ProjectBTimeCFCum.CFCF Cum.CF0 -200 -200-150-1501 200 050 -1002 800 800 100 03 -800 0150150PaybackperiodforprojectB=2years.PaybackperiodforprojectA=1or3years?RelationshipBetweenNPVandIRRDiscountrate NPVforANPVforB20%59.26 47.9240%59.48 -8.6060%42.19 -43.0780%20.85 -65.64100%0.00 -81.25ProjectAProjectB($200)($100)$0$100$200$300$400-15%0%15%30%45%70%100%130%160%190%DiscountratesNPVIRR1(A)IRR(B)NPVProfilesIRR2