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財(cái)務(wù)管理雙語(yǔ)部分課后練習(xí)答案
2-7a.Calculationofgrossincome:
2000
Salary$60,000
DividendIncome10,000
InterestIncome(IBMbondsonly)5,000
STcapitalgains1.000=$22,000-$21,000
GrossIncome(excludingLTcapitalgains)$76、000
LTcapitalgains=$22,000-$9,000=13,000
**LTCapitalgainstaxrate=20%.
Nottaxed:S1(),(XX)interestonFloridamunicipalbonds
Calculationoftaxableincome:
GrossIncome$76,000
Exemption(2,750)
Deductions(5、000)
TaxableIncome(excludingLTcapitalgains)$68,250
Personaltax=Taxontaxableincome(excludingLTcapitalgains)+LTcapitalgainstax
=[$14,138.5+($68,250-$62,450)(0.31)+$13,000(0.2)
=[$14,138.5+$1,798]+$2,600
=$18,536.50
b.Marginaltaxrate=31%.
Averagetaxrate=$18,536.50/($68,250+$13,000)=22.8%.
c.After-taxreturns:
IBM=(0.11)-(0.31)(0.11)=7.59%
FLA=(0.09)-0=9.-30%
TheFloridabondsprovideahigherafler-taxreturn.
d.9%=U%(1-T).NowsolveforT:
9%=11%-11%T
11%T=2
T2/11=18.18%.
Atataxratelessthan18.2percent,Margaretwouldbebetteroffholding11percenttaxablebonds,butat
ataxrateover18.2percent,shewouldbebetteroffholdingtax-exemptmunicipalbonds.Givenour
progressivetaxratesystem,itmakessenseforwealthypeopletoholdtax-exemptbonds,butnotfbrthose
withlowerincomesandconsequentlylowertaxrates.
2-8a.Salaryandincome:9
Donald'ssalary$50,000.0
Interestfrombonds2,500.0
Incomefromrentalproperty42,000.0=$3,500x12months
Adjustedincome$94.500.0
Expenses,exemptions,anddeductions:
Exemptions=2X$2,750$5,500.0
Interestonmortgages、18,000.0
Plumbingexpenses。L250.0
Totalexpensesanddeductions$24.750.0
Taxableincome$69,750.0
Taxes=$6457.5+($69,750-$43,050)X0.28=$13,933.50
aWecouldhaveincludedMaryanne'ssalaryinthissection,butthenwewouldhavehadtorecognizethe
amountsheearnedasanexpenseassociatedwiththerentalproperty.Becausethetwoitemscanceleach
other,weneednotincludethemhere.Also,weignoreemploymenttaxesinthisproblem.
bTheamountoftheinterestandpropertytaxespaidonbothhousesistaxdeductible.
cOnlytheplumbingexpenseassociatedwiththerentalpropertyistaxdeductiblebecauseitwasincurred
inthegenerationofbusinessrevenues.Suchpersonalexpensesarenotdeductible.
b.Salaryandincome:
Donald'ssalary$50,000.0
Interestfrombonds2,500.0
Acljustedincome$52,500.()
Expenses,exemptions,anddeductions:
Exemptions=2X$2,750$5,500.0
Interestonmortgages35,350.0
Totalexpensesanddeductions$10850.0
Taxableincome$41,650.0
Taxes=$0+$41,650X(0.15)=$6,247.50
aOnlytheamountofinterestandpropertytaxespaidonthecouple'sresidenceisapplicable.
c.Expensesincurredtogeneratebusinessincomearetaxdeductible,butpersonalexpensesarenot.Thecost
offixingtheplumbingintherentalhousewouldbeconsideredabusinessexpense,butthecostoffixing
theplumbingintheJefferson'sownhousewouldbeconsideredapersonalexpense.
3-2a.Industry
CampsevAverage
Currentassets_$655,000
1.98x2.0x
Currentliabilities$330,000
Accountsreceivable_$336,000
75.0days35.0days
Sales/360一$4,465.28
Costofgoodssold$1,353,00()
5.60x5.6x
Inventories$241,500
Sales_$1,607,500
1.70x3.0x
Totalassets$947,500
Nelincome_$27,300
1.7%1.2%
Sales-$l,607,500
Netincome_$27,300
2.9%3.6%
Totalassets$947,500
Netincome_$27,300
7.6%9.0%
Commonequity$361,000
Totaldebt_$586,500
61.9%60.0%
Totalassets$947,500
b.ForCampsey,ROA=PMxTAturnover=1.7%x1.7=2.9%.
Fortheindustry,ROA=1.2%x3.0=3.6%.
Campsey'sdayssalesoutstandingismorethantwiceaslongastheindustryaverage,indicatingthatthe
firmshouldtightencreditorenforceamorestringentcollectionpolicy.Thetotalassetsturnoverratioiswell
belowtheindustryaveragesosalesshouldbeincreased,assetsdecreased,orboth.WhileCampsey'sprofit
marginishigherthantheindustryaverage,itsotherprofitabilityratiosarelowcomparedtotheindustry—net
incomeshouldbehighergiventheamountofequityandassets.However,thecompanyseemstobeinan
averageliquiditypositionandfinancialleverageissimilartoothersintheindustry.
d.If2005representsaperiodofsupernormalgrowthforCampsey,ratiosbasedonthisyearwillbe
distortedandacomparisonbetweenthemandindustryaverageswillhavelittlemeaning.Potentialinvestors
wholookonlyat2005ratioswillbemisled,andareturntonormalconditionsin2006couldhurtthefirm's
stockprice.
3-4a.FinnertyIndustry
FurnitureAverage
Currentassets_$303
2.73x2.0x
Currentliabilities$111
Debt_Debt_$135
30.00%30.0%
ratioTotalassets$450
TimesinterestEBIT$49.5
ll.OOx7.0x
earnedInterest$4.5
Inventory.Costofgoodssold_$6604.15x8.5x
turnoverInventories$159
DsoAccountsreceivable$66
29.89days24.0days
Sales/360-$795/360
Fixedassets_Sales_$795
5.41x6.0x
turnoverFixedassets5147
Totalassets_Sales_$7951.77x3.0x
turnoverTotalassets$450
Netprofit_Netincome_$27
3.40%3.0%
margin-Sales-$795
Returnon_Netincome_$27
6.00%9.0%
totalassetsTotalassets$450
Returnon_Netinconr_$27
8..57%12.9%
equityTotalequity$315
b.ROA=ProfitmarginxTotalassetsturnover
NetincomeSales
----------------x----------------
SalesTotalassets
$27$795
一$795$450
=3.4%x1.77=6.0%
FinnertyIndustryComment
Profitmargin3.4%3.0%Good
Totalassetsturnover1.8x3.0xPoor
Returnontotalassets6.0%9.0%Poor
c.AnalysisoftheDuPontequationandthesetofratiosshowsthattheturnoverratioofsalestoassetsis
quitelow.Eithersalesshouldbeincreasedatthepresentlevelofassets,orthecurrentlevelofassetsshould
bedecreasedtobemoreinlinewithcurrentsales.Thus,theproblemappearstobeinthebalancesheet
accounts.
d.Thecomparisonofinventoryturnoverratiosshowsthatotherfirmsintheindustryseemtobegetting
alongwithabouthalfasmuchinventoryperunitofsalesasFinnerty.IfFinnerty'sinventorycouldbereduced
thiswouldgeneratefundsthatcouldbeusedtoretiredebt,thusreducinginterestchargesandimproving
profits,andstrengtheningthedebtposition.Theremightalsobesomeexcessinvestmentinfixedassets,
perhapsindicativeofexcesscapacity,asshownbyaslightlylowerthanaveragefixedassetsturnoverratio.
However,thisisnotnearlyasclear-cutastheover-investmentininventory.
e.IfFinnertyhadasharpseasonalsalespattern,orifitgrewrapidlyduringtheyear,manyratiosmightbe
distorted.Ratiosinvolvingcash,receivables,inventories,andcurrentliabilities,aswellasthosebasedon
sales,profits,andcommonequity,couldbebiased.Itispossibletocorrectforsuchproblemsbyusing
averageratherthanend-of-periodfigures.
4-2a.NosoTextiles
ProFormaIncomeStatement
December31,2005
($thousands)
ProForma
2005(1+2)2006
Sales$36,000(1.15)$41,400
Operatingcosts(32,440)(1.15)(37,306)
EBIT$3,560$4094
Interest(560)(560)
EBT$3,000$3,534
Taxes(40%)(L200)(1414)
Netincome$L80Q$2-20
Dividends(45%)$810$954
AdditiontoRE$990$1.166
NosoTextiles
ProFormaBalanceSheet
December31,2005
($thousands)
2005(1+2)AdditionsProFormaFinancina
Cash$1,080(1.15)$1,242S
Accountsreceivable6,480(1.15)7,452
Inventories9.000(1.15)10,350
Totalcurr.assets$16,560$19,044$
Fixedassets12,600(1.15)14,490
Totalassets$29,160$33,534$
Accountspayable$4,320(1.15)$4,968s
Accruals2,880(1.15)3,312
Notespayable2.1002,100+2,128
Totalcurrentliabilities$9,300$10,380$
Long-termdebt3,5003,500
Totaldebt$12,800$13,880$
Commonstock3,5003,500
Retainedearnings12.8661,166*14,026
Totalliab.andequity$29.160$31.406$
AFN=$2.128
4-6a.5,000units12,000units
Income($45/unit)$225,000$540,000
Variablecosts($20/unit)(100,000)(240,000)
Fixedcosts(175、000)(175000)
Gain(loss)$(50.000)$125,000
F_$175,000
QopBEp_y$25-=7,(XX)units
SOPBE=7,000X$45=$315,000.
nciGrossprofit$10,800*.
4-3a.DOL=--------------=----------=2.5x
EBIT$4,320
門小EBIT$4,32054,320..
DFL=----------=--------------------=---------=3.0x
EBIT-I$4,320-$2,880$1,440
mGrossprofit$10,800$10,800
EBIT-I-$4,320-$2,880一$1,440
b.DOL=2.5;soforevery1percentchangeinsales,EBITwillchangeby2.5percent.DFL=3.0;sofor
every1percentchangeinEBIT,EPSwillchangeby3.0percent.Coiribiningthesetwoleverages,wehave
DTL=7.5;soforevery1percentchangeinsales,EPSwillchangeby7.5percent(2.5X3.0).Forexample,
ifVanAukcn'ssalesdecreaseby2percent,EBITwilldecreaseby5percent(operatingleverage),andthis
5percentdeclineinEBITwillresultina15percentdecreaseinEPS(financialleverage).Incombination,
then,leveragewillcausea15percentdecreaseinEPSwhensalesdecreaseby2percent,andviceversa.
c.VanAukencanreduceitstotalleveragebyreducingthedegreeofoperatingleverage,thedegreeof
financialleverage,orboth.Allelseequal,thecompanycanreduceitsdegreeofoperatingleverageby
reducingfixedoperatingcosts,decreasingthevariablecostratio,orbyincreasingthesellingpricesofthe
products.Thedegreeoffinancialleveragecanbereducedbydecreasingfixedfinancialcosts,suchas
interestandpreferreddividends.
4-5a.8.000units18,000unils
Sales($25/watch)$200,000$450,000
Variablecosts($15/watch)(120,0(X))(27(),000)
Fixedcosts(140,000)(14Q000)
Gain(loss)60.000)$40,000
小F$140,000r2門.
b.QcnRF=------=------------=14,000units
Y°PBEp_v$io
SOPBE=QxP=(14,000)($25)=$350,000.
FC=140,000,SOPBE=350,000,QOPBE=14,000.
八8,000($25-$15)$80,000
=-133
“Lnns8,000($25-$15)-$140,000-$60,000
_18,000($25-$15)_$180,000
=4.5
DOL電娘wunusi8,000($25-$15)-$140,000$40,000
d.Ifthesellingpricerisesto$31,whilethevariablecostperunitremainsfixed,P-Vincreasesto$16.
_^$?,0units
QYOoppBE=p_y=$]6=875
SopBE=QXP=(8,750)(531)=$271,250.
Thebreakevenpointdropsto8,750units.ThefirmnowhaslessoperatingleveragethanunderPartsaandb;hence,
thevariabilityinthefirm'sprofitstreamhasbeendecreased,buttheopponunityformagnifiedprofitshasalsobeen
decreased.
e.Ifthesellingpricerisesto$31andthevariablecostperunitrisesto$23,P-Vfallsto$8.
小F$140,000
QOPBE=^7^=―—=17,500units
SOPBE=QxP=(17,500)($31)=$542,500.
Thebreakevenpointincreasesto17,500units.ThefirmnowhasmoreoperatingleveragethanunderPartsaandb.
4-6a.5,000units12200units
Income($45/unit)$225,000$540,000
Variablecosts($20/unit)(100,(XX))(240,000)
Fixedcosts(175000)(175.000)
Gain(loss)$(50,000)$125.000
,cF$175,0007nm.
QopRF-pv-$25-7,000units
SOPBE=7,000x$45=$315,000.
c.4,000($45-$20)=$100,000whichfallsshortofcoveringallfixedcharges.However,thefirm'scashflow
coverscashfixedchargesof$65,000byawidemargin.
CreditorsareadvisedtobewillingtoacceptlatepaymentsfromDellva.Thecompanygeneratessufficientcashto
payitscashfixedcharges.
4-7a.EBITFinBE=$2,000
EBIT$2,000
Interest(2,000)
Earningsbeforetaxes0
Taxes(40%)0
Netincome$0
EPS=$0/1,000=$0
$4,500
b.DFL=即b二=1.8x
EBIT-I$4,500-2,000
Every1percentchangeinEBITwillresultina1.8percentchangeinEPS.
c.EBITRHBE=$2,000+5600=$2,000+$1,000=$3,000
1-0.40
EBIT$3,000
Interest(2,000)
Earningsbeforetaxes1,000
Taxes(40%)(400)
Netincome$600
Preferreddividends(600)
Earningsavailabletocommonstockholders
EPS=$0/1,000=$0
5-2a.kM=0.1(10%)+0.2(12%)+0.4(13%)+0.2(16%)+0.1(17%)=13.5%.
b.Todeterminethefund'sbeta,BF,theweightfortheamountinvestedineachstockneedstobe
computed.
A=$160/5500=0.32
B=$120/$500=0.24
C=$80/$500=0.16
D=$80/$500=0.16
E=$60/$500=0.12
BF=0.32(0.5)+0.24(2.0)+0.16(4.0)+0.16(1.0)+0.12(3.0)
=0.16+0.48+0.64+0.16+0.36=1.8.
c.RRF=8%(given)
Therefore,theSMLequationis
kF=kRH+(kM-kRH)BF=8%+(13.5%-8%)BH=8%+(5.5%)即.
d.UseBF=1.8intheSMLdeterminedinPartb:
kF=8%+(13.5%-8%)1.8=8%+9.90%=17.90%.
e.kN=Requiredrateofreturnonnewstock=8%+(5.5%)2.0=19%.
Anexpectedreturnof18percentonthenewstockisbelowthe19percentrequiredrateofreturn
onaninvestmentwithariskofB=2.0.BecausekN=19%>kN=18%,thenewstockshouldnot
bepurchased.TheexpectedrateofreturnthatwouldmakeMcAlhanyindifferenttopurchasing
thestockis19percent.
5-5a.kY=0.1(-35%)+0.2(0%)+0.4(20%)+0.2(25%)+0.1(45%)=14%
kx=12%
b.或=(-10%-12%)2(0.1)+(2%-12%)2(0.2)+(12%-12%)2(0.4)
+(20%-12%)2(0.2)+(38%-12%)2(0.1)=148.8
Ox=7148.8=12.20%
OY=20.35%
CVX=12.20%/12%=1.02
CVy=20.35%/14%=1.45.
5-81.Oldportfoliobeta=1.12=(0.05)6]+(0.05)%+…+(0.05)B2o
1.12=(SBj)(0.05)
EBj=1.12/0.05=22.4=20(1.12)
Newportfoliobeta=(22.4-1.0+1.75)/20=1.1575=1.16
2.LBjexcludingthestockwiththebetaequalto1.0is22.4-1.0=21.4,sothebetaof
theportfolioexcludingthisstockisB=21.4/19=1.1263.Thebetaofthenew
portfoliois:
1.1263(0.95)+1.75(0.05)=1.1575=1.16
6-16a.012341617181920Periods
-600-600-600-600-600-600-600-600-600
(1)Dealer's''specialfinancingpackage”
r=4%/4=1%,t=5x4=20,
PVA=600X(P/A,l%,20)=600X18.0456=10827.36
SoSarahmustuse$2,172.64=$13,000-$10,827.36ofthe$3,000inhercheckingaccountifthe
dealer'sfinancingisused.
(2)Bankloan
r=12%/4=3%,t=5x4=20,
PVA=600X(P/A,3%,20)=600X14.8775=8926.48
ThedifferencebetweenthisamountandthePVAofthedealer's''specialfinancingpackage”is
$1,900.86=$10,827.36-$8,926.50,soSarahwouldhavetonegotiateareductioninthestickerprice
equalto$1,901tomakethebankfinancingmoreattractivethanthedealer'sfinancing.
6-17Informationgiven:
1.Janetwillsavefor40yearsat7percentcompoundedannually,thenretire.
2.Whensheretires,Janetwantstotakeatriparoundtheworldatacostof$120,000.
3.Afterthetrip,Janetwantstoreceivepaymentsequalto$70,000peryear,andthese
paymentsareexpectedtolastfor20years.
4.Uponretirement,Janet'sfundswillearn5percentcompoundedannually.
ThecashflowtimelineforJanetis:
012340
7%05%121920
-PMT-PMT-PMT-PMT
120z000Trip
70,00070,00070,00070,000
FVA4O=7OOOOX(P/AZ5%Z2O)+12OOOO
=7000X12.4622+120000
=992354
=AX(F/A,7%,40)
=AX199.64
A=4970.72^4971
Janetneedstocontribute$4,971eachyearfor40yearstomeetherretirementgo
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