Question
ARGEPlcisaleisurecompanythatisrecoveringfromaloss-makingventureintomagazinepublicationthreeyearsago.Thecompanyplanstolaunchtwonewproducts,AlphaandBeta,at the start of July 20XX, which it believes will each have a life-cycle of four years. Alpha isthedeluxeversionofBeta.Thesalesmixisassumedtobeconstant.Expectedsalesvolumesforthetwoproductsareasfollows: Year 1 2 3 4 Alpha
ARGEPlcisaleisurecompanythatisrecoveringfromaloss-makingventureintomagazinepublicationthreeyearsago.Thecompanyplanstolaunchtwonewproducts,AlphaandBeta,at the start of July 20XX, which it believes will each have a life-cycle of four years. Alpha isthedeluxeversionofBeta.Thesalesmixisassumedtobeconstant.Expectedsalesvolumesforthetwoproductsareasfollows:
Year | 1 | 2 | 3 | 4 |
Alpha | 60,000 | 110,000 | 100,000 | 30,000 |
Beta | 75,000 | 137,500 | 125,000 | 37,500 |
Thesellingpriceanddirectmaterialcostsforeachproductinthefirstyearwillbeasfollows:
Product | Alpha | Beta |
Directmaterialcosts | /unit12.00 | /unit5.00 |
Sellingprice 31.00 23.00
Incremental fixed production costs are expected to be 1 million in the first year ofoperationandareapportionedonthebasisofsalesvalue.Advertisingcostswillbe
500,000inthefirstyearofoperationandthen200,000peryearforthefollowingtwoyears.Therearenoincrementalnon-productionfixedcostsotherthanadvertisingcosts.
Inordertoproducethetwoproducts,investmentof1millioninpremises,1millioninmachineryand1millioninworkingcapitalwillbeneeded,payableatthestartofJuly20XX.
Sellingpriceperunit,directmaterialcostperunitandincrementalfixedproductioncostsareexpectedtoincreaseafterthefirstyearofoperationduetoinflation:
Sellingpriceinflation 3.0%peryearDirectmaterialcostinflation 3.0%peryearFixedproductioncostinflation5.0%peryear
These inflation rates are applied to the standard selling price and direct material cost dataprovidedabove.Workingcapitalwillberecoveredattheendofthefourthyearofoperation,atwhich time production will cease and ARGE Plc expects to be able to recover 1.2 millionfromthesaleofpremisesandmachinery.AllstaffinvolvedintheproductionandsaleofAlphaandBetawillberedeployedelsewhereinthecompany.
ARGE Plc pays tax in the year in which the taxable profit occurs at an annual rate of 25%.Investment in machinery attracts a first-year capital allowance of 100%. ARGE Plc hassufficient profits to take the full benefit of this allowance in the first year. For the purpose ofreportingaccountingprofit,ARGEPlcdepreciatesmachineryonastraight-linebasisoverfouryears.ARGEPlcusesanafter-taxmoneydiscountrateof13%forinvestmentappraisal.
Required:
i)CalculatethenetpresentvalueoftheproposedinvestmentinproductsAlphaandBetaas of30June 20XX.
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