财务管理习题答案.docx

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财务管理习题答案

Chapter7

Problems

1.CityFarmInsurancehascollectioncentersacrossthecountrytospeedupcollections.Thecompanyalsomakesitsdisbursementsfromremotedisbursementcenters.Thecollectiontimehasbeenreducedbytwodaysanddisbursementtimeincreasedbyonedaybecauseof thesepolicies.Excessfundsarebeinginvestedinshort-terminstrumentsyielding12 percentperannum.

a.IfCityFarmhas$5millionperdayincollectionsand$3millionperdayindisbursements,howmanydollarshasthecashmanagementsystemfreedup?

b.HowmuchcanCityFarmearnindollarsperyearonshort-terminvestmentsmadepossiblebythefreed-upcash?

7-1.Solution:

CityFarmInsurance

a.$5,000,000dailycollections

×2.0daysspeedup=$10,000,000additionalcollections

$3,000,000dailydisbursements

×1.0daysslowdown=$3,000,000delayeddisbursements

$13,000,000freed-upfunds

b.

 

2.NicholasBirdcageCompanyofHollywoodshipscagesthroughoutthecountry.Nicholashasdeterminedthatthroughtheestablishmentoflocalcollectioncentersaroundthecountry,hecanspeedupthecollectionofpaymentsbyoneandone-halfdays.Furthermore,thecashmanagementdepartmentofhisbankhasindicatedtohimthathecandeferhispaymentsonhisaccountsbyone-halfdaywithoutaffectingsuppliers.ThebankhasaremotedisbursementcenterinFlorida.

a.Ifthecompanyhas$4millionperdayincollectionsand$2millionperdayindisbursements,howmanydollarswillthecashmanagementsystemfreeup?

b.Ifthecompanycanearn9percentperannumonfreed-upfunds,howmuchwilltheincomebe?

c.Iftheannualcostofthenewsystemis$700,000,shoulditbeimplemented?

7-2.Solution:

NicholasBirdcageCompanyofHollywood

a.$4,000,000dailycollections

×1.5daysspeedup=$6,000,000additionalcollections

$2,000,000dailydisbursements

×.5daysslowdown=$1,000,000delayeddisbursements

$7,000,000freed-upfunds

b.

c.No.Theannualincomeof$630,000is$70,000lessthantheannualcostof$700,000forthenewsystem.

 

3.MegahurtzInternationalCarRentalshasrent-a-caroutletsthroughouttheworld.Italsokeepsfundsfortransactionspurposesinmanyforeigncountries.Assumein2003,itheld100,000realsinBrazilworth35,000dollars.Itdrew12percentinterest,buttheBrazilianrealdeclined20percentagainstthedollar.

a.Whatisthevalueofitsholdings,basedonU.S.dollars,atyear-end(Hint:

multiply$35,000times1.12andthenmultiplytheresultingvalueby80percent.)

b.Whatisthevalueofitsholdings,basedonU.S.dollars,atyear-endifitdrew9 percentinterestandtherealwentupby10percentagainstthedollar?

7-3.Solution:

MegahurtzInternationalCarRental

a.$35,000×1.12=$39,200

$39,200×80%=$31,360dollarvalueofrealholdings

b.$35,000×1.09=$38,150

$38,150×110%=$41,965dollarvalueofrealholdings

4.ThompsonWoodProductshascreditsalesof$2,160,000andaccountsreceivableof $288,000.Computethevalueoftheaveragecollectionperiod.

7-4.Solution:

ThompsonWoodProducts

 

5.LoneStarPetroleumCo.hasannualcreditsalesof$2,880,000andaccountsreceivableof $272,000.Computethevalueoftheaveragecollectionperiod.

7-5.Solution:

LoneStarPetroleumCo.

6.KnightRoundtableCo.hasannualcreditsalesof$1,080,000andanaveragecollectionperiodof32daysin2008.Assumea360-dayyear.Whatisthecompany’saverageaccountsreceivablebalance?

Accountsreceivableareequaltotheaveragedailycreditsalestimestheaveragecollectionperiod.

7-6.Solution:

KnightRoundtableCo.

 

7.Darla’sCosmeticshasannualcreditsalesof$1,440,000andanaveragecollectionperiodof45daysin2008.Assumea360-dayyear.

Whatisthecompany’saverageaccountsreceivablebalance?

Accountsreceivableareequaltotheaveragedailycreditsalestimestheaveragecollectionperiod.

7-7.Solution:

Darla’sCosmeticCompany

$1,440,000annualcreditsales/360=$4,000perdaycreditsales

$4,000creditsales×45averagecollectionperiod=$180,000averageaccountsreceivablebalance

8.InProblem7,ifaccountsreceivablechangeto$200,000intheyear2009,whilecreditsalesare$1,800,000,shouldweassumethefirmhasamoreoralesslenientcreditpolicy?

7-8.Solution:

Darla’sCosmetics(Continued)

Todetermineifthereisamorelenientcreditpolicy,computetheaveragecollectionperiod.

Sincethefirmhasashorteraveragecollectionperiod,itappearsthatthefirmdoesnothaveamorelenientcreditpolicy.

 

9.HubbellElectronicWiringCompanyhasanaveragecollectionperiodof35days.Theaccountsreceivablebalanceis$105,000.Whatisthevalueofitscreditsales?

7-9.Solution:

HubbellElectronicWiringCompany

 

10.Marv’sWomen’sWearhasthefollowingscheduleforagingofaccountsreceivable.

AgeofReceivables,April30,2004

(1)

(2)

(3)

(4)

MonthofSales

AgeofAccount

Amounts

PercentofAmountDue

April

0–30

$88,000

____

March

31–60

44,000

____

February

61–90

33,000

____

January

91–120

55,000

____

Totalreceivables

$220,000

100%

a.Fillincolumn(4)foreachmonth.

b.Ifthefirmhad$960,000increditsalesoverthefour-monthperiod,computetheaveragecollectionperiod.Averagedailysalesshouldbebasedona120-dayperiod.

c.Ifthefirmlikestoseeitsbillscollectedin30days,shoulditbesatisfiedwiththeaveragecollectionperiod?

d.Disregardingyouranswertopartcandconsideringtheagingscheduleforaccountsreceivable,shouldthecompanybesatisfied?

e.Whatadditionalinformationdoestheagingschedulebringtothecompanythattheaveragecollectionperiodmaynotshow?

7-10.Solution:

Marv’sWomen’sWear

AgeofReceivables,April30,2004

a.

(1)

(2)

(3)

(4)

MonthofSales

AgeofAccount

Amounts

PercentofAmountDue

April

0-30

$88,000

40%

March

31-60

44,000

20%

February

61-90

33,000

15%

January

91-120

55,000

25%

Totalreceivables

$220,000

100%

b.

c.Yes,theaveragecollectionof27.5daysislessthan30days.

d.No.Theagingscheduleprovidesadditionalinsightthat60percentoftheaccountsreceivableareover30daysold.

e.Itgoesbeyondshowinghowmanydaysofcreditsalesaccountsreceivablesrepresent,toindicatethedistributionofaccountsreceivablebetweenvarioustimeframes.

11.NowlinPipe&Steelhasprojectedsalesof72,000pipesthisyear,anorderingcostof$6 perorder,andcarryingcostsof$2.40perpipe.

a.Whatistheeconomicorderingquantity?

b.Howmanyorderswillbeplacedduringtheyear?

c.Whatwilltheaverageinventorybe?

7-11.Solution:

NowlinPipeandSteelCompany

a.

b.72,000units/600units=120orders

c.EOQ/2=600/2=300units(averageinventory)

12.HoweCorporationistryingtoimproveitsinventorycontrolsystemandhasinstalledanonlinecomputeratitsretailstores.Howeanticipatessalesof126,000unitsperyear,anorderingcostof$4perorder,andcarryingcostsof$1.008perunit.

a.Whatistheeconomicorderingquantity?

b.Howmanyorderswillbeplacedduringtheyear?

c.Whatwilltheaverageinventorybe?

d.Whatisthetotalcostofinventoryexpectedtobe?

7-12.Solution:

HoweCorp.

a.

b.126,000units/1,000units=126orders

7-12.(Continued)

c.EOQ/2=1,000/2=500units(averageinventory)

d.126orders×$4orderingcost=$504

500units×$1.008carryingcostperunit=504

Totalcosts=$1,008

 

13.(SeeProblem12forbasicdata.)Inthesecondyear,HoweCorporationfindsitcanreduceorderingcoststo$1perorderbutthatcarryingcostswillstaythesameat$1.008perunit.

a.Recomputea,b,c,anddinProblem12forthesecondyear.

b.Nowcompareyearsoneandtwoandexplainwhathappened.

7-13.Solution:

HoweCorp.(Continued)

a.

126,000units/500units=252orders

EOQ/2=500/2=250units(averageinventory)

252orders×$1orderingcost=$252

250units×$1.008carryingcostperunit=252

Totalcosts=$504

b.Thenumberofunitsordereddeclines50%,whilethenumberofordersdoubles.Theaverageinventoryandtotalcostsbothdeclinebyone-half.Noticethatthetotalcostdidnotdeclineinequalpercentagetothedeclineinorderingcosts.ThisisbecausethechangeinEOQandothervariables(½)isproportionaltothesquarerootofthechangeinorderingcosts(¼).

14.HigginsAthleticWearhasexpectedsalesof22,500unitsayear,carryingcostsof$1.50perunit,andanorderingcostof$3perorder.

a.Whatistheeconomicorderquantity?

b.Whatwillbetheaverageinventory?

Thetotalcarryingcost?

c.Assumeanadditional30unitsofinventorywillberequiredassafetystock.Whatwillthenewaverageinventorybe?

Whatwillthenewtotalcarryingcostbe?

7-14.Solution:

HigginsAthleticWear

a.

b.EOQ/2=300/2=150units(averageinventory)

150units×$1.50carryingcost/unit=$225totalcarryingcost

c.

180inventory×$1.50carryingcostperyear

=$270totalcarryingcost

 

15.DimaggioSportsEquipment,Inc.,isconsideringaswitchtolevelproduction.Costefficiencieswouldoccurunderlevelproduction,andaftertaxcostswoulddeclineby$35,000,butinventorywouldincreaseby$400,000.Dimaggiowouldhavetofinancetheextrainventoryatacostof10.5percent.

a.Shouldthecompanygoaheadandswitchtolevelproduction?

b.Howlowwouldinterestratesneedtofallbeforelevelproductionwouldbefeasible?

7-15.Solution:

DimaggioSportsEquipment,Inc.

a.Inventoryincreasesby$400,000

×interestexpense10.5%

Increasedcosts$42,000

Less:

Savings35,000

Loss($7,000)

Don’tswitchtolevelproduction.IncreasedROIisle

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