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ID:36923206
大小:318.60 KB
页数:44页
时间:2019-05-11
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1、TheTimeValueofMoneyWhatisTimeValue?WesaythatmoneyhasatimevaluebecausethatmoneycanbeinvestedwiththeexpectationofearningapositiverateofreturnInotherwords,“adollarreceivedtodayisworthmorethanadollartobereceivedtomorrow”Thatisbecausetoday’sdollarcanbeinvestedsothatw
2、ehavemorethanonedollartomorrowTheTerminologyofTimeValuePresentValue-Anamountofmoneytoday,orthecurrentvalueofafuturecashflowFutureValue-AnamountofmoneyatsomefuturetimeperiodPeriod-Alengthoftime(oftenayear,butcanbeamonth,week,day,hour,etc.)InterestRate-Thecompensa
3、tionpaidtoalender(orsaver)fortheuseoffundsexpressedasapercentageforaperiod(normallyexpressedasanannualrate)AbbreviationsPV-PresentvalueFV-FuturevaluePmt-PerperiodpaymentamountN-Eitherthetotalnumberofcashflowsorthenumberofaspecificperiodi-Theinterestrateperperiod
4、Timelines012345PVFVTodayAtimelineisagraphicaldeviceusedtoclarifythetimingofthecashflowsforaninvestmentEachtickrepresentsonetimeperiodCalculatingtheFutureValueSupposethatyouhaveanextra$100todaythatyouwishtoinvestforoneyear.Ifyoucanearn10%peryearonyourinvestment,h
5、owmuchwillyouhaveinoneyear?012345-100?CalculatingtheFutureValue(cont.)Supposethatattheendofyear1youdecidetoextendtheinvestmentforasecondyear.Howmuchwillyouhaveaccumulatedattheendofyear2?012345-110?GeneralizingtheFutureValueRecognizingthepatternthatisdeveloping,w
6、ecangeneralizethefuturevaluecalculationsasfollows:Ifyouextendedtheinvestmentforathirdyear,youwouldhave:CompoundInterestNotefromtheexamplethatthefuturevalueisincreasingatanincreasingrateInotherwords,theamountofinterestearnedeachyearisincreasingYear1:$10Year2:$11Y
7、ear3:$12.10ThereasonfortheincreaseisthateachyearyouareearninginterestontheinterestthatwasearnedinpreviousyearsinadditiontotheinterestontheoriginalprincipleamountCompoundInterestGraphicallyTheMagicofCompoundingOnNov.25,1626PeterMinuit,aDutchman,reportedlypurchase
8、dManhattanfromtheIndiansfor$24worthofbeadsandothertrinkets(珠子和其他饰品).WasthisagooddealfortheIndians?Thishappenedabout371yearsago,soiftheycouldearn5%peryeartheywouldnow(
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