CH11TheBasicsofCapitalBudgeting(财务管理,英文版).pptx
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CH11TheBasicsofCapitalBudgeting(财务管理,英文版).pptx
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,Shouldwebuildthisplant?
CHAPTER11TheBasicsofCapitalBudgeting,Whatiscapitalbudgeting?
Analysisofpotentialadditionstofixedassets.Long-termdecisions;involvelargeexpenditures.Veryimportanttofirmsfuture.,Steps,1.EstimateCFs(inflows&outflows).2.AssessriskinessofCFs.3.Determinek=WACC(adj.).4.FindNPVand/orIRR.5.AcceptifNPV0and/orIRRWACC.,Whatisthedifferencebetweenindependentandmutuallyexclusiveprojects?
Projectsare:
independent,ifthecashflowsofoneareunaffectedbytheacceptanceoftheother.mutuallyexclusive,ifthecashflowsofonecanbeadverselyimpactedbytheacceptanceoftheother.,AnExampleofMutuallyExclusiveProjects,BRIDGEvs.BOATtogetproductsacrossariver.,NormalCashFlowProject:
Cost(negativeCF)followedbyaseriesofpositivecashinflows.Onechangeofsigns.,NonnormalCashFlowProject:
Twoormorechangesofsigns.Mostcommon:
Cost(negativeCF),thenstringofpositiveCFs,thencosttocloseproject.Nuclearpowerplant,stripmine.,Inflow(+)orOutflow(-)inYear,0,1,2,3,4,5,N,NN,-,+,+,+,+,+,N,-,+,+,+,+,-,NN,-,-,-,+,+,+,N,+,+,+,-,-,-,N,-,+,+,-,+,-,NN,Whatisthepaybackperiod?
Thenumberofyearsrequiredtorecoveraprojectscost,orhowlongdoesittaketogetourmoneyback?
PaybackforProjectL(Long:
LargeCFsinlateryears),10,60,0,1,2,3,-100,=,CFt,Cumulative,-100,-90,-30,50,PaybackL,2+30/80=2.375years,0,100,2.4,80,ProjectS(Short:
CFscomequickly),70,20,50,0,1,2,3,-100,CFt,Cumulative,-100,-30,20,40,PaybackL,1+30/50=1.6years,100,0,1.6,=,StrengthsofPayback:
1.Providesanindicationofaprojectsriskandliquidity.2.Easytocalculateandunderstand.,WeaknessesofPayback:
1.IgnorestheTVM.2.IgnoresCFsoccurringafterthepaybackperiod.,DiscountedPayback:
UsesdiscountedratherthanrawCFs.,10,80,60,0,1,2,3,CFt,Cumulative,-100,-90.91,-41.32,18.79,Discountedpayback,2+41.32/60.11=2.7years,PVCFt,-100,-100,10%,9.09,49.59,60.11,=,Recoverinvest.+cap.costsin2.7years.,NPV:
SumofthePVsofinflowsandoutflows.,WhatsProjectLsNPV?
10,80,60,0,1,2,3,10%,ProjectL:
-100.00,9.09,49.59,60.11,18.79=NPVL,NPVS=$19.98.,CalculatorSolution,EnterinCFLOforL:
-10010608010,CF0,CF1,NPV,CF2,CF3,I,=18.78=NPVL,RationalefortheNPVMethod,NPV=PVinflowsCost=Netgaininwealth.AcceptprojectifNPV0.ChoosebetweenmutuallyexclusiveprojectsonbasisofhigherNPV.Addsmostvalue.,UsingNPVmethod,whichproject(s)shouldbeaccepted?
IfProjectsSandLaremutuallyexclusive,acceptSbecauseNPVsNPVL.IfSNPV0.,InternalRateofReturn:
IRR,0,1,2,3,CF0,CF1,CF2,CF3,Cost,Inflows,IRRisthediscountratethatforcesPVinflows=cost.ThisisthesameasforcingNPV=0.,NPV:
Enterk,solveforNPV.,IRR:
EnterNPV=0,solveforIRR.,WhatsProjectLsIRR?
10,80,60,0,1,2,3,IRR=?
-100.00,PV3,PV2,PV1,0=NPV,EnterCFsinCFLO,thenpressIRR:
IRRL=18.13%.,IRRS=23.56%.,40,40,40,0,1,2,3,IRR=?
FindIRRifCFsareconstant:
-100,Or,withCFLO,enterCFsandpressIRR=9.70%.,3-1004009.70%,INPUTS,OUTPUT,N,I/YR,PV,PMT,FV,90,1090,90,0,1,2,10,IRR=?
Q.HowisaprojectsIRRrelatedtoabondsYTM?
A.Theyarethesamething.AbondsYTMistheIRRifyouinvestinthebond.,-1134.2,IRR=7.08%(useTVMorCFLO).,.,RationalefortheIRRMethod,IfIRRWACC,thentheprojectsrateofreturnisgreaterthanitscost-somereturnisleftovertobooststockholdersreturns.Example:
WACC=10%,IRR=15%.Profitable.,IRRAcceptanceCriteria,IfIRRk,acceptproject.IfIRRk,rejectproject.,DecisionsonProjectsSandLperIRR,IfSandLareindependent,acceptboth.IRRsk=10%.IfSandLaremutuallyexclusive,acceptSbecauseIRRSIRRL.,ConstructNPVProfiles,EnterCFsinCFLOandfindNPVLandNPVSatdifferentdiscountrates:
k05101520,NPVL5033197(4,NPVS402920125,(4),-10,0,10,20,30,40,50,60,5,10,15,20,23.6,NPV($),DiscountRate(%),IRRL=18.1%,IRRS=23.6%,CrossoverPoint=8.7%,k05101520,NPVL5033197(4),NPVS402920125,S,L,.,.,.,.,.,.,.,.,.,.,.,NPVandIRRalwaysleadtothesameaccept/rejectdecisionforindependentprojects:
kIRRandNPV0.Reject.,NPV($),k(%),IRR,IRRkandNPV0Accept.,MutuallyExclusiveProjects,k8.7k,NPV,%,IRRS,IRRL,L,S,kNPVS,IRRSIRRLCONFLICT,k8.7:
NPVSNPVL,IRRSIRRLNOCONFLICT,ToFindtheCrossoverRate,1.Findcashflowdifferencesbetweentheprojects.Seedataatbeginningofthecase.2.EnterthesedifferencesinCFLOregister,thenpressIRR.Crossoverrate=8.68%,roundedto8.7%.3.CansubtractSfromLorviceversa,butbettertohavefirstCFnegative.4.Ifprofilesdontcross,oneprojectdominatestheother.,TwoReasonsNPVProfilesCross,1.Size(scale)differences.Smallerprojectfreesupfundsatt=0forinvestment.Thehighertheopportunitycost,themorevaluablethesefunds,sohighkfavorssmallprojects.2.Timingdifferences.ProjectwithfasterpaybackprovidesmoreCFinearlyyearsforreinvestment.Ifkishigh,earlyCFespeciallygood,NPVSNPVL.,ReinvestmentRateAssumptions,NPVassumesreinvestatk(opportunitycostofcapital).IRRassumesreinvestatIRR.Reinvestatopportunitycost,k,ismorerealistic,soNPVmethodisbest.NPVshouldbeusedtochoosebetweenmutuallyexclusiveprojects.,Managerslikerates-preferIRRtoNPVcomparisons.CanwegivethemabetterIRR?
Yes,MIRRisthediscountratethatcausesthePVofaprojectsterminalvalue(TV)toequalthePVofcosts.TVisfoundbycompoundinginflowsatWACC.,Thus,MIRRassumescashinflowsarereinvestedatWACC.,MIRR=16.5%,10.0,80.0,60.0,0,1,2,3,10%,66.012.1,158.1,MIRRforProjectL(k=10%),-100.0,10%,10%,TVinflows,-100.0,PVoutflows,MIRRL=16.5%,$100=,$158.1(1+MIRRL)3,TofindTVwithHP10B,enterinCFLO:
I=10,NPV=118.78=PVofinflows.,EnterPV=-118.78,N=3,I=10,PMT=0.PressFV=158.10=FVofinflows.,EnterFV=158.10,PV=-100,PMT=0,N=3.PressI=16.50%=MIRR.,CF0=0,CF1=10,CF2=60,CF3=80,WhyuseMIRRversusIRR?
MIRRcorrectlyassumesreinvestmentatopportunitycost=WACC.MIRRalsoavoidstheproblemofmultipleIRRs.Managerslikerateofreturncomparisons,andMIRRisbetterforthisthanIRR.,PavilionProject:
NPVandIRR?
5,000,-5,000,0,1,2,k=10%,-800,EnterCFsinCFLO,enterI=10.,NPV=-386.78,IRR=ERROR.Why?
WegotIRR=ERRORbecausethereare2IRRs.NonnormalCFs-twosignchanges.Heresapicture:
NPVProfile,450,-800,0,400,100,IRR2=400%,IRR1=25%,k,NPV,LogicofMultipleIRRs,1.Atverylowdiscountrates,thePVofCF2islarge&negative,soNPV0.4.Result:
2IRRs.,CouldfindIRRwithcalculator:
1.EnterCFsasbefore.2.Entera“guess”astoIRRbystoringtheguess.Try10%:
10STOIRR=25%=lowerIRRNowguesslargeIRR,say,200:
200STOIRR=400%=upperIRR,WhentherearenonnormalCFsandmorethanoneIRR,useMIRR:
0,1,2,-800,000,5,000,000,-5,000,000,PVoutflows10%=-4,932,231.40.,TVinflows10%=5,500,000.00.,MIRR=5.6%,AcceptProjectP?
NO.RejectbecauseMIRR=5.6%k=10%.Also,ifMIRRk,NPVwillbenegative:
NPV=-$386,777.,
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