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TheAccountingRateofReturn
TheinformationprovidedbyAICOplcisbasedonhypotheticalcashflows.ThisinformationisinsufficientforestablishingtheARRofthetwomodels;thereforeitwillbenecessarytocalculatetheannualdepreciationfiguresforthetwomachines.Toarriveattheannualaccountingprofitswillnecessitateadeductionfromeachyear�snetcashinflows�theannualdepreciationfigure.
Supermodel
Depreciationperannum =Costlessscrapvalue
Lifeofmachine
=£500,000less20,000
6
=£80,000perannum
Deluxemodel
Depreciationperannum =£800,000less80,000
6
=£120,000perannum
Nowthatwehavecalculatedtheannualdepreciationforeachmachine,letusestablishtheannualaccountingprofitorlossforeachmachine.
Supermodel
Year Cashinflow less Depreciation =AccountingProfit/(Loss)
1 250,000 � 80,000 =170,000
2 100,000 � 80,000 =20,000
3 100,000 � 80,000 =20,000
4 50,000 � 80,000 =(30,000)
5 150,000 � 80,000 =70,000
6 100,000 � 80,000 =20,000
Totalaccountingprofit 270,000
Thereforetheaverageaccountingprofit =£270,000
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6
=£45,000
AverageCapitalEmployed =£500,000+20,000
2
=£260,000
ARR =45,000x100
260,000
=17•30%
DeluxeModel
Year Cashinflow less Depreciation =AccountingProfit/(Loss)
1 150,000 120,000 =30,000
2 200,000 120,000 =80,000
3 250,000 120,000 =130,000
4 100,000 120,000 =(20,000)
5 100,000 120,000 =(20,000)
6 250,000 120,000 =130,000
Totalaccountingprofits 330,000
Averageaccountingprofit =£330,000
6
=£55,000
Averagecapitalemployed =£800,000+80,000
2
=£440,000
ThereforeARR =£55,000x100
£440,000
=12•50%
UsingARR,clearlythesupermodelwitha17•30%willberecommendedinsteadofthedeluxemodel,whichhasalowerrateofreturnof12•50%
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