Test ID: 7441466
Residual Income Valuation
Question #1 of 63
Question ID: 463488ᅚ A) ᅞ B) ᅞ C)
Question #2 of 63
Question ID: 463464ᅚ A) ᅞ B) ᅞ C)
Question #3 of 63
Question ID: 463527ᅚ A)
Creative Gardening isexpectedto havea returnonequity (ROE)of13% for thenextfive yearsand10% thereafter, indefinitely. Its current book value per shareasofthebeginningof year 1 (i.e., theendof year 0)is $7.50 per shareandits required rateof returnis10%.
The premiumover book valueattheendoffive yearsisexpectedto be30%. Allearningsare reinvested. Thesumofthe present values ofthe residualincomeestimatesover thenextfive yearsis $1.10. The projectedending book valuein year 5 is $13.83. Whatisthe value
ofCreative Gardening using theseinputs?
$11.18.
$8.60.
$13.83.
Explanation
Applying the finite horizon residual income valuation model: V = B + sumofdiscountedRIs + discounted premium
=
7
.50 +
1
.
1
0 + [(0.
3
0
)
(
13
.8
3)
/(
1
.
1
0
)
] = $
11
.
1
8
Economic valueadded (EVA )iscalculatedasnetoperating profitafter taxesminus:
a charge for total capital. achargefor equity capital.
capitalexpenditures.
Explanation
EVA = NOPAT - (C% × TC), where NOPATisafirm'snetoperating profitafter taxes, C% isthecostofcapital, andTCistotalcapital.
An analystusesthe financialstatementsofAdvancedInstrumentsto generate the following estimates: Book Value per share = 4.00
Dividend retention ratio = 75% ROE = 17%
Ifthe required rate of return is15%, andthe currentshare price is $7.56 per share, the stock (using asingle-stage residual income model) is mostlikely:
correctlyvalued.
0 0
5
ᅞ B) ᅞ C)
Question #4 of 63
Question ID: 463510ᅚ A) ᅞ B) ᅞ C)
Question #
5
of 63
Question ID: 463520ᅚ A) ᅞ B)
ᅞ C)
Question #6 of 63
Question ID: 463498ᅚ A)
undervalued. overvalued.
Explanation
g = retention ratio × ROE = (0.75) × 0.17 = 0.1275 or 12.75%
The present valueof GB Industries' projected residualincome (RI) for the next five yearsis 70 per share. Beyond thattime horizon, a key analyst projectsthatthe firm willsustain a RI of 15 per share, which isthe RI for year 5. Given a costof equity of 12%, whatisthe
terminal valueof thestock asof year 5?
£125.00.
£500.00.
£560.00.
Explanation
The stock'sterminal value asof year 5 is: TV = 15.00/0.12 = 125.00
The residualincome approach is NOT appropriate when:
the clean surplus accounting relation is violated significantly.
a firm does not pay dividendsor thestream of paymentsistoo volatileto besufficiently predictable.
expected free cash flows are negative for the foreseeable future.
Explanation
The residualincome approach is not appropriate when the clean surplus accounting relation is violated significantly. Both remaining responses describe circumstancesin which the approach is appropriate.
Midland Semiconductor hasa book value of $10.50 per share. The company's returnon equity is20%, and its required return on equity is17%. The dividend payout ratio is30%. What isthe value ofthe sharesusing asingle-stage residual income model?
ᅞ B) ᅞ C)
Question #7 of 63
Question ID: 463492ᅞ A) ᅞ B) ᅚ C)
Question #
8
of 63
Question ID: 463489ᅞ A) ᅚ B) ᅞ C)
$10.50. $31.50.
Explanation
g = retention ratio × ROE = (1 − 0.30) × 0.20 = 0.14or 14%
Professor Cliff Webley made thefollowing statements in his asset-valuationclass:
Statement 1: "Residual incomeapproaches generally model ROE as approaching zero over time."
Statement 2: "Ifactual return onequity equals required return onequity, the residual incomemodel sets thecompany's proper market valueequal to its book value."
Statement 3: "Using consistent assumptions, the single-stage residual incomemodel should give you the same valuationas the Gordon Growth Dividend-discount model."
Which of Webley's statements is leastaccurate?
Statement 2. Statement 3. Statement 1.
Explanation
Inacompetitivemarket, ROE has beenfound todeclineover time -- not to zero but to thecost ofequity. Thus, residual incomeapproaches oftenmodelROE fading toward thecost ofequity. As ROE approaches thecost ofequity, residualincome approaches zero. Theother two statements areaccurate.
Brown Manufacturing's recent financial statements reporteda book valueof $9.50 per share; its required rateof returnis 10%. Analyst Tony Giancola, CFA, wants tocalculate thecompany's intrinsic valueusing amultistage residualincome with a hi gh-growth RIfor thenext 5 years. Giancolacreates thefollowing estimates:
PVofinterim high-growth RIfor thenext 5 years is $3.10 At theendof year 5, the PVofcontinuing RIis $10.00 EstimatedBook Valuein 5 years is $25.00
Which of thefollowing is closestto thecurrent intrinsic valueofBrown Manufacturing? $13.10.
$18.81. $22.60.
Question #
9
of 63
Question ID: 463503ᅚ A) ᅞ B) ᅞ C)
Question #1
0
of 63
Question ID: 463518ᅞ A) ᅞ B) ᅚ C)
Question #11 of 63
Question ID: 463499Applying themultistage residualincomemodel:
V
= B
+ PV
o
f int
e
rim high-gr
o
wth RI + PV
o
f
co
ntinuing RI
= 9.50 + 3.10 + [(10.00) / (1.10)
] = $18.81
Aninvestor isconsidering the purchaseof Microscopics, which hasa priceto book value (P/B) ratioof4.00. Returnonequity (ROE)is
expectedto be12%, current book value per shareis $12.00, andthecostofequity is10%. What growth rateisimplied by thecurrent P/B rate?
9.33%.
10.00%.
0.67%.
Explanation
The P/B ratioof4.00 andthecurrent book value per shareof $12.00 imply acurrentmarket priceof $48.00. Thisimpliesa growth rateof:
g = r - [{B (ROE - r)} / {V - B}] = 0.10 - [{12.00(0.12 - 0.10)} / {48.00 - 12.00}] = 0.0933 = 9.33%. Notethatthereadinginthecurriculumdoesnotprovidethisexpressiondirectly.
The residualincomeapproach isappropriate when:
a firm pays high dividends that are quite stable.
thecleansurplusaccounting relationis violatedsignificantly.
expectedfreecash flowsarenegativefor theforeseeablefuture.
Explanation
The residualincomeapproach isappropriate whenexpectedfreecash flowsarenegativefor theforeseeablefuture. Itisnotappropriate
whenthecleansurplusaccounting relationis violatedsignificantly. Afirmthat pays high dividendsthatare quitestableisalsoa poor candidatefor theapproach.
Big Sky Ranches reportedthefollowing for theendofitsfiscal year: Revenues = $40.8 million.
Pretax income = $8.6million. Assets = $53.2million. Liabilities = $27.8 million.
0 0
5
ᅞ A) ᅚ B) ᅞ C)
Question #12 of 63
Question ID:463505ᅚ A) ᅞ B) ᅞ C)
Question #13 of 63
Question ID:463487ᅚ A)
Dividends per share = $0.35. Sharesoutstanding = 8 million. Tax rate = 35%.
The betafor Big Sky Ranchesis1.2, thecurrent risk-free rateis4.5%, andtheexpected returnonthemarketis12.5%. What isthe valueofthesharesusing asingle-stage residualincomemodel?
$8.10. $11.28. $23.23.
Explanation
After tax earnings = Pretax earnings × (1 − T) = 8.6million × (1 − 0.35) = $5.59 million EPS = After tax earnings/sharesoutstanding = $5.59 million / 8 million = $0.70 Retention ratio = (0.70 − 0.35) / 0.70 = 0.50 or 50%
Equity = Assets − liabilities = $53.2million − $27.8 million = $25.4million
Book value per share = Totalequity/sharesoutstanding = $25.4million / 8 million = $3.18 ROE = $0.70 / $3.18 = 0.22or 22%
g = retention ratio × ROE = (0.50) × 0.22 = 0.11or 11.00% Expected return = 0.045 + [0.125 − 0.045]1.2 = 0.1410 or 14.10 %
Continuing residualincomeisdefinedasthe:
residual income that is expected beyond the initial forecast time horizon.
residualincomethatforcesthenet present valueto zero.
permanentasopposedtothetransitory partof residualincome.
Explanation
Continuing residualincomeisdefinedasthe residualincomethatisexpected beyondtheinitialforecasttime horizon. Itcomesinto play whenRIisforecastfor adefinedtime horizonandaterminal value basedoncontinuing RIisestimatedattheendofthattimeframe.
The residualincomeapproach isappropriate when:
a firm does not pay dividends or the payments are too volatile to be sufficiently
ᅞ B) ᅞ C)
Question #14 of 63
Question ID:463475ᅚ A) ᅞ B) ᅞ C)
Question #1
5
of 63
Question ID:463477ᅞ A) ᅚ B) ᅞ C)
thecleansurplusaccounting relationis violatedsignificantly.
afirm pays high dividendsthatare quitestable.
Explanation
The residualincomeapproach isappropriate whenafirmdoesnot pay dividendsor the paymentsaretoo volatileto besufficiently
predictable. Itisnotappropriate whenthecleansurplusaccounting relationis violatedsignificantly. Afirmthat pays high dividendsthat
are quitestableisalsoa poor candidatefor theapproach.
TravelAdvisors hasearnings beforeinterestandtaxes (EBIT)of $200 million, interestexpenseof $83million, taxesof $46.8 million, and totaldebtof $125 million. Itisalsofinanced with totalequity of $650 million, which hasa required rateof returnof12 percent. Whatis
TravelAdvisors' residualincome? A:
loss of $7.8 million.
profitof $70.2million.
lossof $70.2million.
Explanation
Netincome = 200,000,000 - 83,000,000 - 46,800,000 = $70,200,000. Theequity capitalchargeis650,000,000 × 0.12 = $78,000,000. Thus, residualincome = 70,200,000 - 78,000,000 = -$7,800,000.
Cognitive Products (CP)designsdecision-making software. The book valueofitsassetsis $3.2 billion, which isfinanced with $2.0 billioninequity and $1.2 billionindebt. Its before-tax costofdebtis6.5%, whileits relevanttax rateis34%. CP hasacost ofequity of12.46%. Itsabbreviatedincomestatementis:
E
a
r
nin
g
s
b
e
f
o
r
e
in
t
e
r
e
st
a
nd
ta
x
e
s
(E
BIT)
$
213
,000,000
I
n
t
e
r
e
st
e
xp
e
n
s
e
(
3
0,000,000
)
Pr
e
ta
x
in
co
m
e
1
8
3
,000,000
I
n
co
m
e
ta
x
e
xp
e
n
s
e
(
62
,
22
0,000
)
N
e
t
in
co
m
e
$
12
0,
7
80,000
The residualincome (RI)for CP isclosestto:
Question #16 of 63
Question ID:463525ᅚ A) ᅞ B) ᅞ C)
Question #17 of 63
Question ID:463466ᅞ A) ᅚ B) ᅞ C) Explanation
Thedollar-basedequity chargeis:
e
q
ui
t
y
c
h
a
rg
e
=
e
q
ui
t
y
c
a
p
i
ta
l
×
co
st
o
f
e
q
ui
t
y = $
2
.0 b
i
ll
i
o
n
× 0.
1246
= $
24
9,
2
00,000.
RIiscalculatedas:
N
e
t
I
n
co
m
e
$
12
0,
7
80,000
(L
e
ss
)
Eq
ui
ty
c
h
a
rg
e
(
24
9,
2
00,000
)
RI
−$
12
8,
42
0,000
Big Sky Ranches reportedthefollowing for theendofitsfiscal year: Book Value = $3.18
ROE = 22%
RetentionRatio = 50% RequiredReturn = 14.1%
Thecurrentshare priceis $11.28 per share. Theshares (relativetoasingle-stage residualincomemodel)aremostlikely:
correctlyvalued. undervalued. overvalued.
Explanation
g = retention ratio × ROE = (0.50) × 0.22 = 0.11or 11.00%
Market valueaddediscalculatedas:
market value of the company minus a charge for equity capital.
market valueofthecompany minustotalcapital.
netoperating profitafter taxesminusachargefor totalcapital.
Explanation
Market valueaddedisthemarket valueofthecompany minustotalcapital. Itisusedtomeasuretheeffecton valueofmanagement's
Question #1
8
of 63
Question ID:463524ᅞ A) ᅞ B) ᅚ C)
Question #1
9
of 63
Question ID:463504ᅚ A) ᅞ B) ᅞ C)
Question #2
0
of 63
Question ID:463501ᅚ A) ᅞ B) ᅞ C)
In general, firmsmaking aggressiveaccounting decisions will report future earnings that are:
higher.
inflation-adjusted.
lower.
Explanation
In general, firms making aggressive (conservative) accounting decisions will report higher (lower) book values and lower (higher) future
earnings.
Firms may adopt aggressive accounting practices that overstatethe value ofearnings by, for example, accelerating revenues to the
current period or deferring expenses to a later period. Currentearnings will be higher, but future earnings will be lower.
An analyst is considering the purchase of Delphos Machinery, which has a price-to-book value (P/B) ratio of 8.00. Return on equity (ROE) is expected to be 14%, current book value per share is $12.00, and the cost ofequity is 11%. What growth rate is implied by the current
P/B rate?
10.57%.
11.00%.
8.43%.
Explanation
The P/B ratioof 8.00 andthecurrent book value per shareof $12.00 imply acurrentmarket priceof $96.00. Thisimpliesa growth rateof:
g = r − [B (ROE − r)] / (V − B ) = 0.11 − [12.00(0.14 − 0.11)] / (96.00 − 12.00) = 0.1057 = 10.57%. (Note:thecurriculumdoesnotprovidethisexpressiondirectly.)
Aninvestor isconsidering the purchaseofRobust Econometrics, Inc., which hasa price-to-book (P/B) value ratioof4.50.
Returnonequity (ROE)isexpectedto be14%, thecurrent book value per share (BVPS)is Sf22.50, andthecostofequity is
12%. The growth rateimplied by thecurrent P/B ratioisclosestto: 11.43%.
8.00%.
12.57%.
Explanation
The P/B ratioof4.50 andthecurrentBVPS of Sf22.50 imply amarket priceof Sf101.25(4.5 × 22.5). Thisimpliesa growth rate
Question #21 of 63
QuestionID:463516ᅞ A) ᅞ B) ᅚ C)
Question #22 of 63
QuestionID:463496ᅚ A) ᅞ B) ᅞ C)
Question #23 of 63
QuestionID:463486ᅚ A) ᅞ B) ᅞ C) of:
Which statementbestdescribesthe relationship betweenthe residualincomemodelandthefreecash flow toequity model? They do not rely on accounting assumptions.
They both discountafuturestreamofcash flows.
Intrinsic valuecalculated by both should bethesameiftheassumptionsarethesame.
Explanation
Theoretically theintrinsic valuecalculated by both should bethesame, butsincethey usedifferentapproachesthe valuesare oftendifferentin practice. Residualincome relieson book valueanddiscountsincome, notcash flow.
Assuming thatthe growth rate is less than the required rate of return (r), a decrease in initial book value will cause value in a residual
income (RI) model to:
decrease.
there is insufficient information to determinetheeffect on RI.
increase.
Explanation
Adecrease (increase)ininitial book valuedecreases (increases) value. Thisis revealed by theRI valuationexpression:
V = B + [(ROE - r) / (r - g)]B
A residualincomemodel would beleastappropriateasatooltomeasure which ofthefollowing?
Operating leverage. Economicincome. Goodwillimpairment.
Explanation
Operating leverageisnotmeasureddirectly by residualincomemodels, although operating leveragemay haveaneffecton
the residualincomemeasured. Residualincomemodelsareintendedasameasureofeconomicincome, andareoftenused
tomeasure goodwillimpairment.
Question #24 of 63
QuestionID:463513ᅚ A) ᅞ B) ᅞ C)
Question #2
5
of 63
QuestionID:463476ᅞ A) ᅞ B) ᅚ C)
Question #26 of 63
QuestionID:463521ᅚ A) ᅞ B) ᅞ C)
An argument for using the residual income (RI) valuation approach is that:
the models focus on economic rather than just on accounting profitability.
the models rely on accounting data that can be manipulated by management.
the clean surplus relation fails to hold.
Explanation
The models focus on economic rather than just on accounting profitability. Both remaining responses are arguments againstusing the RI approach.
Residual income is defined as:
operating income plus depreciation and amortization.
net income less a charge for capital investment.
net income less a chargethat measures stockholders' opportunity cost in generating that
income.
Explanation
Residual income is defined as net income less a chargethat measures stockholders' opportunity cost in generating that income.
AnalystBrett Melton, CFA, islooking attwocompanies. Happy Cow Dairies has volatilecash flows, anditsfreecash flow is oftennegative. Thecompany paysnodividends. Glitter and Gold, amaker of girls' clothing, hasafairly steady streamof
earningsandcash flows buttakesalotofchargesagainstequity. Isthe residualincomemodelsuitablefor valuing thetwo companies?
Happy Cow Dairies Glitter and Gold
Yes No
No Yes
No No
Explanation
Question #27 of 63
QuestionID:463512reliance on accounting data requires numerous and significant adjustments.
Question #2
9
of 63
QuestionID:463469ᅚ A) ᅞ B) ᅞ C)
Question #3
0
of 63
QuestionID:463470ᅞ A) ᅞ B) ᅚ C)
CliftonexplainstoRawlsthatanalystsuseassumptionstomakethe residual-incomemodelseasier tointerpret. She goeson
toidentify four commonly usedassumptions:Residualincomecan beexpectedto: disappear immediately
decline gradually as returnonequity (ROE)declines stay atthesamelevelindefinitely
declinetothemarketaverage
After her initial review of residualincome, Clifton givesRawlsatest. Theanswersdependontheuseofthefollowing informationaboutCRIndustriesinYear X (in $ millions):
Investedcapital $225
Marketcapitalization $231
Debt $130
Sales $90
Costofgoodssold(COGS) $26
Selling,general & administrative(SG&A)
expense $10
Depreciationandamortizationexpense $25
Interestexpense $6.5
Dividendexpense $6
Taxrate 40.0%
Pretaxcostofequity 11.4%
Pretaxcostofdebt 5.00%
Whenacompany'sROE isthesameasthe return required by themarket, thestock's justifiedmarket valueisclosesttothe: bookvalue.
actualmarket value plus residualincome. book value plus residualincome.
Explanation
WhenROE isequaltothe required returnonequity, the justifiedmarket valueofashareofstock isequaltoits book value. In
thiscase, thereisno residualincome. (Study Session11, LOS 32.a, b)
Which ofthefollowing assumptionsisnotcommonly usedtosimplify thecalculationof residualincome? Continuing residual incomeisexpectedto:
decline gradually as ROE declines. disappear immediately.
Question #34 of 63
QuestionID:463474ᅞ A) ᅚ B) ᅞ C)
Question #3
5
of 63
QuestionID:463526ᅞ A) ᅚ B) ᅞ C) Explanation
Residualincome = netincome − equity charge.
Netincome = (sales − COGS − SG&Aexpense − depreciationandamortizationexpense − interestexpense) × (1 − tax rate) = $13.5 million.
Equity charge = equity × costofequity.
(totalcapital - debt) × costofequity = $95 million × 11.4% = $10.83million.
Residualincome = $13.5 million − $10.83million = $2.67million. (Study Session11, LOS 32.a)
Theeconomic valueadded (EVA)ofCRIndustriesisclosestto: −$4.53 million.
$2.67million. −$8.13million.
Explanation
EVA = NOPAT − (WACC × investedcapital).
NOPAT = (sales − COGS − SG&Aexpense − depreciationandamortizationexpense) × (1 − tax rate) = $17.40 million.
Tocalculatethe weightedaveragecostofcapital (WACC), start by determining the percentageofequity anddebt. $130 millionindebt represented 57.78% oftotalcapital. The remaining 42.22% istheequity portion. Don'tforgettoadjustthecost
ofdebtfor taxes.
WACC = 57.78% × (5% × [1 − 40%]) + (42.22% × 11.4%) = 6.55%. EVA = $17.40 million − ($225 million × 6.55%) = $2.67million.
Notethatinthis problem residualincomeand EVAarethesame. Thisistrueina "perfect world" but youshouldnotassume this willalways betrueonexam problems.
(Study Session11, LOS 32.a)
Midland Semiconductor hasa book valueof $10.50 per share. Thecompany's returnonequity is20%, andits required return onequity is17%. Thedividend payout ratiois30%. Thecurrentshare priceis $21.00 per share. Theshares (relativetoa
single-stage residualincomemodel)aremostlikely:
overvalued. correctly valued. undervalued.
Explanation
Question #36 of 63
QuestionID:463490ᅚ A) ᅞ B) ᅞ C)
Question #37 of 63
QuestionID:463522ᅚ A)
ᅞ B)
ᅞ C)
Question #3
8
of 63
QuestionID:463463Red Shoes's recentfinancialstatements reporteda book valueof $11.00 per share; its required rateof returnis 9%. Analyst
Tony Giancola, CFA, wantstocalculatethecompany'sintrinsic valueusing amultistage residualincome with a high-growth RI for thenext 5 years. Giancolacreatesthefollowing estimates:
PVofinterim high-growth RIfor thenext 5 yearsis $ 2.90
Attheendof year 5, the PVofcontinuing RIis $7.00 EstimatedBook Valuein 5 yearsis $14.00
Which ofthefollowing isclosesttothecurrentintrinsic valueofRed Shoes? $18.45.
$20.90.
$9.90.
Explanation
Applying themultistage residualincomemodel:
V
=
B
+ P
V
o
f
int
e
r
im
h
i
gh-gr
o
w
t
h
RI
+ P
V
o
f
contin
u
in
g
RI
=
11
.00 +
2
.90 + [(
7
.00
)
/ (
1
.09
)
] = $
1
8.
4
5
Reported accounting data aremostlikelyto bias an estimate of residual income when:
standards allow charges directly to stockholders' equity while bypassing the income
statement.
standards allow charges directly to stockholders' equity that are also reflected on the income
statement.
the clean surplus relation holds.
Explanation
Bias is likely when standards allow charges directly to stockholders' equity while bypassing the income statement. Both remaining responses are consistent with theuse of data that will not introduce a bias.
Travel Advisors has earnings before interest and taxes (EBIT) of $200 million, interestexpense of $83 million, taxes of $46.8 million, and
total debt of $125 million. It is also financed with total equity of $850 million, which has a required rate of return of 12%. What is Travel
Advisors' residual income?
0 0
ᅞ A) ᅞ B) ᅚ C)
Question #3
9
of 63
QuestionID:463509ᅞ A) ᅞ B) ᅚ C)
Question #4
0
of 63
QuestionID:463465ᅚ A) ᅞ B) ᅞ C)
Question #41 of 63
QuestionID:463517ᅚ A)
ᅞ B)
A profit of $70.2 million.
A profit of $31.8 million.
A loss of $31.8 million.
Explanation
Net income = 200,000,000 - 83,000,000 - 46,800,000 = $70,200,000. Theequity capital charge is 850,000,000 × 0.12 = $102,000,000.
Thus, residual income = 70,200,000 - 102,000,000 = -$31,800,000.
The present value of Raver Industries' projected residual income (RI) for the next five years is £60 per share. Beyond thattime horizon, a key analyst projects thatthe firm will sustain a RI of £11 per share, which is theRI for year 5. Given a cost of equity of 12%, what is the terminal value of the stock as of year 5?
£500.00.
£560.00.
£91.67.
Explanation
Thestock'sterminal valueasof year 5 is:
TV = 11.00 / 0.12 = 91.67
A common adjustment in calculating economic value added (EVA ) is to:
capitalize and amortize research and development expenses.
add back deferred taxes.
treat capital leases as operating leases.
Explanation
It is common to capitalize and amortize research and development (R&D) expenses and add R&D expenses back to earnings. Deferred taxes areeliminated to pick up only cash taxes. Operating leases aretreated as capital leases.
A use of the residual income (RI) valuation approach is:
providing a check of consistency between competing approaches like free cash flow of equity (FCFE) and dividend discount model (DDM) .
providing more reliableestimates of terminal value.
ᅞ C)
Question #42 of 63
QuestionID:463493ᅞ A) ᅞ B) ᅚ C)
Question #43 of 63
QuestionID:463494ᅞ A)
ᅞ B) ᅚ C)
Question #44 of 63
QuestionID:472545deferring value morethan in competing valuation approaches.
Explanation
A RI model can beused along with other models to assess the consistency of results. FCFE and DDM models forecast future cash flows whileRI models start with a balance sheet measure of equity and add the present value of expected futureRI.
Assuming thatthe growth rate is less than the required rate of return (r), an increase in return on equity (ROE) will cause value in a residual income (RI) model to:
there is insufficient information to derive the effects of increasing ROE on RI.
decrease if ROE is greater than the required rate of return.
increase if ROE is greater than the required rate of return.
Explanation
Anincrease (decrease)inROE increases (decreases) valueiftheROE exceedsthe required rateof return. Thisis revealed by theRI valuationexpression:
V = B + [(ROE - r) / (r - g)]B
Thesingle-stage residualincomemodel valuesacompany at:
bookvalue plus the terminal value discounted at the weighted average cost of capital.
book valuetimesafactor determined by thediscount rate.
book value plusthe present valueofthefirm'sexpectedeconomic profits.
Explanation
Thesingle-stage residualincomemodel valuesacompany at book value plusthe present valueofthefirm'seconomic profits, or theadditional value generated by thefirm'sability to produce returns higher thanthecostofequity.
AdvancedInstruments reportedthefollowing for theendofitsfiscal year: Revenues = $50.3million.
Assets = $33.8 million. Liabilities = $13.8 million. Earnings per share = $0.68.
Dividends per share = $0.17. Sharesoutstanding = 5 million.
ᅚ A) ᅞ B) ᅞ C)
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QuestionID:463467ᅞ A) ᅞ B) ᅚ C)
Question #46 of 63
QuestionID:463515Tax rate = 40%.
Ifthe required rateof returnis15%, whatisthe valueofthesharesusing asingle-stage residualincomemodel?
$7.56.
$4.78. $6.01.
Explanation
Retention ratio = (0.68 - 0.17) / 0.68 = 0.75 or 75%
Equity = Assets - liabilities = $33.8 million − $13.8 million = $20 million
Book value per share = Totalequity / sharesoutstanding = $20 million / 5 million = $4.00
ROE = $0.68 / $4.00 = 0.17or 17%
g = retention ratio × ROE = (0.75) × 0.17 = 0.1275 or 12.75%
SmallCo hasthefollowing characteristics:
Long-termdebt = $55 million Equity = $45 million
WACC = 11% EBIT = $10 million Marginaltax rate = 30%
SmallCo'seconomic valueaddedisclosestto:
+$1 million.
-$1million. -$4million.
Explanation
Economic valueadded (EVA)measuresthe valueaddedfor shareholders by managementduring a given year. Acompany must produce EVAinorder toincreaseitsmarket value. EVAiscalculatedas:
EBIT(1 − t) − $WACC
10(1 − 0.30) − 0.11(55 + 45) 7 − 11
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ᅚ B)
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Question #47 of 63
QuestionID:463523ᅞ A) ᅞ B) ᅚ C)
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QuestionID:463514ᅞ A) ᅞ B)
ᅚ C)
Question #4
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QuestionID:463508Which descriptionofthe relationship among residualincome, dividenddiscount (DDM)andfreecash flow toequity (FCFE) modelsisleastaccurate?
Residual income differs from DDM and FCFE in that residual income starts with bookvalue.
Thedifferentmodelsshould resultindifferentintrinsic values becauseofthe theoreticaldifferencesinthemodels.
ResidualincomediffersfromDDM and FCFE inthatitdiscountsincome rather than cash.
Explanation
Thethreemodelsshouldall producethesameintrinsic valueaslong astheunderlying assumptionsarethesame. The differencesinintrinsic valuesarisefromdifficulty inestimating theinputs, notfromtheoreticaldifferencesinthemodels. Since they should producethesame results, they can beusedtoassessconsistency. ResidualincomediffersfromDDM and FCFE intheuseofaccounting assumptions, including book valueanddiscounting income.
In general, firms making aggressive accounting decisions will report book values that are:
lower.
consistent with fair market value.
higher.
Explanation
In general, firms making aggressive (conservative) accounting decisions will report higher (lower) book values and lower (higher) future
earnings.
An argument againstusing the residual income (RI) valuation approach is that:
the models focus on economic rather than just on accounting profitability.
terminal value does not dominatetotal present value as is the case in dividend and free cash flow valuation models.
the models rely on accounting data that can be manipulated by management.
Explanation