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1、-心BalnMathAuthor:CollinsQianReviewer:BrianBilelloMarch1998cnrenenmateconoreeBainMathAgenda*Basicmath*Financialmath*StatisticalmathsncnenenmasetcnoeeBainMathAgenda“*BasicmathE-proporion-percent-infiation-foreignexchange=graphing*Financialmath“StatisticalmathsncnrenenmesetcnoreBainMathDefinition:ApplN
2、olestion:RatioTheratoofAtoBisewiten自orAiB;5PhceAiatocanbeusediocalculatepnceperunit(口渡),gventhetotalrevenueandtotalunttsGven:totalrevenue=$90MMtotalunit=15MMprcefunit=。都AnswerPce=89MM-$6.0Unit“1:5MMThemathforratosissimpleldentlyingaralevantunitcanbechalengingsncnrenenmasetomoeeBainMathDefinition:App
3、lication:ProportionIfiheratoofAipjsequaliotheatoofCtoD,thenAandareproporionaltoCandD-A-CBDIiolowsthatAxD=BxCTheoonceptofproporioncanbeusedtoprojectSG&Acostsn1999,gvenrevenuein1998.8G&Acostsn1996,andrevenuein1999(assumingSG8Aandrevenuein1999arepqoporionaltoSG&Aandlevenuein1996)2801999Gven:Revenue=“S1
4、35MM“S270MMSG8A=$8MM8S195MM扯$8MM“卷18SMMx7=83MMX270MM【sAnswer:ancnrenenmatetcnoreBainMathDefinition:Application:PercentApercentage(abbreviated“percenfsaconvenientwayloexpressarato-Lieraly,percentagemeansper100.Theratoof5to20is乏5_0_0or025Inpercentagelems,025-25per100025%Apercetagecanbeusedtoexpressthe
5、ohangeinanumberfiomoneimeperiodtthenext-neAvaluegnalvalueofgravalueGiven:InherfistyearatBain,anAClogged7.000fequentfiermiesby仪ingtoherclienLInhersecondyearshelogged25000mies,WhatisthepercentageincresseinmilesAnswer:“益000-1=357-1=2.57=257%7000sncnreenmatnucnoreeBainMathDefinition:RelatedTerminology:1
6、.Real(constandolars:2.,Nominal(eurrengdolars:3.PrioedeflatorInflation-DefinitionsInftatonsdefnedastheyearoveryeardeoreaseinthevalueofaunitofcurencyIfanemcost$1.00in1997andcost1.03n1908,infatonwas3%from199701998.Thetemisnotintinsioaltymorevaluablen190-thedolarisessaluableWencalculatngthereagrowthofad
7、olarfigureovertime(e.,revenuegrowh,unitoostrowij.itisnecessarytosubtactoutiheeffectsofinfaton.Infatonarygrowthsnoteafgrowhbecauseinfatondoesnotorealeintinsicvalue-Dolarfiguresforanumberofyearsthatarestatedinachosen“baseryearsdolartems(ie,infatonhasbeentakenoubAnyyearcanbechosenasthebaseyearbutaldola
8、rfguresmustbestatedinthesamebaseyearDolarfiguresoranumberofyearsthatarestatedineachindMidualyearsdolartems(te,nfatonhasnotbeentakenoutAprcedefalorisameasureofinfatonoverime-Dogurscunetyean_nfatonpeweencurent一Dolarfounebaseyean一earandtbaseys靠sacmyeenmmtntcnoeBainMath王一量里林春命量目国Inflation-US.PriceDeflat
9、orsdefiatortablefistspricedefiatorsforanumberOfyears-aenorcengEHsscichengesneemeressTesayissacoeenvtenseyangseeseetimeiieinezolManpsnncnrenenmatntomoeeBainMathInflation-Realvs、NominalFiguresWhetheryoushouldusereal(constanfiguresornominal(current)iouresdependsonthesftuationand功eclientspreference、When
10、touserealvsNominaligures:“Tounderstandhowacompanyhasperlormedovertime(eg.intermsofrevenue,costs,orprot),八论necessarytoremoveinflation,(ie、userealfgures“*Sincemostcompaniesusenominalfguresintheirannualreports,ifyouareshowingthecientsrevenueoverime论prefarabletousenominalfgures.“Foranexperiencecurve,wWh
11、ereyouwanttoundersiandhowpriceorcosthaschangedoverimeduetoaccumulatedexperience,youmustuseealfiguresNote:卜jsimportanttospecityonsldesandspreadsheetswhetheryouareUsingrealornominalfgures,Ifyouareusingrealguresyoushouldalsonotewhatyouhavechosenasthebaseyear:sncoreenmaseccnomeBainMathInflation-Example(
12、1)AdustingforjnationfscriticalforanyanalysisJookingatpricesovertime,州nominaldolars;GEswasherpriceshaveincreasedby2naverage0f4.5%since1970.tszoo00870-16a)Nomialdolas45XpiesolaGEWesher关公晓。命荣卫601双切州万传刃邓办卵卷服陆助酯晓酊酮胎助旦驿Whenyouusenominaldollarsitisimpossibletotellhowmuchofthepriceincreasewasduetoinflationnncnreenmatetcnoee
