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RiskandCapitalBudgeting
ChapterOutlineConceptofriskincapitalbudgetingConceptofriskaverseRiskandrateofreturnRiskassessment–simulationmodelsanddecisiontreesImpactofindividualriskyprojectontotalriskofthefirmDefinitionofRisk
inCapitalBudgetingRiskisdefinedintermsofvariabilityofpossibleoutcomesfromagiveninvestmentRiskismeasurednotonlyintermsoflossesbutalsointermsofuncertaintyVariabilityandRiskThreeinvestmentproposalsillustratedinthefollowingslideAllinvestmentsintheillustrationhavethesameexpectedvalueInvestment“C”isthemostriskyinvestmentowingtoitsvariabilityVariabilityandRisk(cont’d)TheConceptofRisk-AverseRiskavoidanceunlessadequatelycompensatedforMostinvestorsandmanagersarerisk-averseTheypreferrelativecertaintyasopposedtouncertaintyTheyexpecthighervalueorreturnforriskyinvestmentsActualMeasurementofRiskBasicstatisticaldevicesusedExpectedvalue:D=∑DPStandarddeviation:σ=√∑(D–D)2PCo-efficientofVariation:(V)=σ
DProbabilityDistributionofwithDifferingDegreesofRiskThelargerthestandarddeviation(orspreadofoutcomes),thegreateristheriskProbabilityDistributionwithDifferingDegreesofRisk(cont’d)DirectcomparisonofstandarddeviationswouldnotbehelpfulinmeasuringriskiftheexpectedvaluesoftheinvestmentsaredifferentAstandarddeviationof$600withanexpectedvalueof$6,000mayindicatelessriskthanastandarddeviationof$190withanexpectedvalueofonly$600CoefficientofVariation(V)Thesizedifficultycanbeeliminatedbyintroducing“CoefficientofVariation”(V)Formula:Co-efficientofVariation:(V)=σ÷DThelargerthecoefficientofvariation,thegreatertheriskRiskmeasure—Beta(β)AriskmeasurewidelyusedwithportfoliosofcommonstockMeasuresthevolatilityofreturnsonanindividualstockrelativetoreturnsonastockmarketindexBetasforFive-YearPeriod
(EndingJanuary2009)Riskandthe
CapitalBudgetingProcessAninformedinvestororamanagerwoulddifferentiatebetween:Investmentsthatproduce‘certain’returns,andInvestmentsthatproduceanexpectedvalueofreturn,buthaveahighcoefficientofvariationRisk-AdjustedDiscountRateDifferentcapitalexpenditureproposalswithdifferentrisklevelswouldrequiredifferentdiscountratesProjectwithnormalamountofriskdiscountedatthecostofcapitalProjectwithgreaterthannormalriskdiscountedathigherrate(asshowninthefollowingslide)Riskisassumedtobemeasuredbythecoefficientofvariation(V)RelationshipofRisk
toDiscountRateThisisanexampleofbeingincreasinglyrisk-averseathigherlevelsofriskandpotentialreturnIncreasingRiskoverTimeAccurateforecastingbecomesmoreobscurefartheroutintimeUnexpectedevents:CreateahigherstandarddeviationincashflowsIncreaseriskassociatedwithlong-livedprojectsUseofprogressivelyhigherdiscountratestocompensateforrisktendstopenalizelatercashflowsmorethanearlieronesQualitativeMeasuresSettingupofriskclassesbasedonqualitativeconsiderationsThisagainequatesthediscountratetotheperceivedriskExampleofsuchriskclassesillustratedinthefollowingslideRiskCategoriesandDiscountratesCapitalBudgetingAnalysisThisfollowingtableshowsInvestmentBasapreferredinvestmentbasedonNPVcalculationwithoutconsideringtheriskfactor
Table13–4CapitalBudgetingDecisionAdjustedforRisk:ExampleAssumption(Table13-4):InvestmentAcallsforanadditiontonormalproductlineandisassigneddiscountrateof10%InvestmentBrepresentsanewproductinforeignmarketandmustcarry20%discountratetoadjustforalargeriskcomponentCapitalBudgetingDecisionAdjustedforRisk:Example(cont’d)InvestmentAistheonlyacceptablealternativeafteradjustingtheriskfactorSimulationModelsHelpindealingwithuncertaintiesinvolvedinforecastingtheoutcomeofcapitalbudgetingprojectsorothertypesofdecisionsComputersenablethesimulationofvariouseconomicandfinancialoutcomesusinganumberofvariablesAMonteCarlosimulationmodelusesrandomvariableforinputsRelyonrepetitionofthesamerandomprocessasmanyasseveralhundredtimesSimulationModels(cont’d)HavetheabilitytotestvariouscombinationsofeventsAreusedtotestpossiblechangesinvariableconditionsincludedintheprocessAllowtheplannertoask“whatif”questionsAredrivenbysalesforecasts,withassumptionstoderiveincomestatementsandbalancesheetsGenerateprobabilityacceptancecurvesforcapitalbudgetingdecisionsSimulationFlowChartDecisionTreesHelplayoutasequenceofdecisionsthatcanbemadePresentatabularorgraphicalcomparisonbetweeninvestmentchoicesProvideanimportantanalyticalprocessDecisionTrees(cont’d)Assumingthatafirmisconsideringtwochoices:ProjectA:ExpandingtheproductionsemiconductorsforsaletoendusersProjectB:Enteringthehighlycompetitivepersonalcomputermarketusingthefirm’stechnologyCostofbothprojectsis$60million,withdifferentnetpresentvalue(NPV)andriskProjectA:Highlikelihoodofpositiverateofreturnandthelong-rungrowthisareasonableexpectationProjectB:StiffcompetitionmayresultinlossofmoremoneyorhigherprofitifsalesarehighDecisionTrees(cont’d)ThePortfolioEffectConsidersimpactofagiveninvestmentproposalontheoverallriskoffirmAfirmplanningtoinvestinthebuildingproductsindustrycarryingahighdegreeofriskHasaprimarybusinessinmanufactureofelectroniccomponentsforindustrialuseTheinvestingfirmcouldaltercyclicalfluctuationsinherentinitsprimarybusinessandreduceoverallriskexposureThestandarddeviationfortheentirecompanycouldbereducedThus,overallriskexposureofthatfirmmightdiminishPortfolioRiskWhetheragiveninvestmentwouldchangetheoverallriskofthefirmdependsonitsrelationshiptootherinvestmentsHighlycorrelatedinvestments-donotdiversifyawayriskNegativelycorrelatedinvestments-providehighdegreeofriskreductionUncorrelatedinvestments-providesomeoverallreductioninriskCoefficientofCorrelationRepresentstheextentofcorrelationamongvariousprojects/investmentsAmeasurethatmaytakeonvaluesanywherefrom-1to+1Realworld–amorelikelymeasurebetween-.2negativecorrelationand+.3positivecorrelationRiskcanbereducedby:CombiningriskyassetswithlowornegativelycorrelatedassetsCoefficientofCorrelation:CaseofConglomerate,Inc.,andTwoMergerCandidatesMergerwithNegativeCorrelation,Inc.,appearstobethebestdecisionEvaluationofCombinationsTwoprimaryobjectivesinchoosingcombinations:Achievethehighestposs
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