44
VALUATION: CLOSING THOUGHTS Spring 2017 “It ain’t over till its over”

VALUATION: CLOSING THOUGHTSpages.stern.nyu.edu/~adamodar/pdfiles/eqnotes/valcloses... · 2017-05-08 · ¨Relative valuation, where we pick a group of assets, attach the name “comparable”to

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Page 1: VALUATION: CLOSING THOUGHTSpages.stern.nyu.edu/~adamodar/pdfiles/eqnotes/valcloses... · 2017-05-08 · ¨Relative valuation, where we pick a group of assets, attach the name “comparable”to

VALUATION:CLOSINGTHOUGHTSSpring2017“Itain’t overtillitsover”

Page 2: VALUATION: CLOSING THOUGHTSpages.stern.nyu.edu/~adamodar/pdfiles/eqnotes/valcloses... · 2017-05-08 · ¨Relative valuation, where we pick a group of assets, attach the name “comparable”to

2

Backtotheverybeginning:ApproachestoValuation

¨ DiscountedCashflowValuation,wherewetry(sometimesdesperately)toestimatetheintrinsicvalueofanassetbyusingamixoftheory,guessworkandprayer.

¨ Relativevaluation,wherewepickagroupofassets,attachthename“comparable” tothemandtellastory.

¨ Contingentclaimvaluation,wherewetakethevaluationthatwedidintheDCFvaluationanddivvyitupbetweenthepotentialthieves(equity)andthevictimsofthiscrime(lenders)

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IntrinsicValuation:Thesetup

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4

DantemeetsDCF:Ninelayersofvaluationhell..Andabonuslayer..

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer1:BaseYearfixation….

¨ YouarevaluingExxonMobil,usingthefinancialstatementsofthefirmfrom2008.Thefollowingprovidesthekeynumbers:Revenues $477billionEBIT(1-t) $58billionNetCapEx $3billionChg WC $1billionFCFF $54billion

¨ Thecostofcapitalforthefirmis8%andyouuseaveryconservativestablegrowthrateof2%tovaluethefirm.Themarketcapforthefirmis$373billionandithas$10billionindebtoutstanding.a.Howunderorovervaluedistheequityinthefirm?b.Wouldyoubuythestockbasedonthisvaluation?Whyorwhynot?

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer2:TaxesandValue

¨ Assumethatyouhavebeenaskedtovalueacompanyandhavebeenprovidedwiththemostrecentyear’sfinancialstatements:

¨ EBITDA 140¨ - DA 40¨ EBIT 100¨ Interestexp 20¨ Taxableincome 80¨ Taxes 32¨ NetIncome 48¨ Assumealsothatcashflowswillbeconstantandthatthereisnogrowthinperpetuity.Whatisthe

freecashflowtothefirm?a. 88million(Netincome+Depreciation)b. 108million(EBIT– taxes+Depreciation)c. 100million(EBIT(1-taxrate)+Depreciation)d. 60million(EBIT(1- taxrate))e. 48million(NetIncome)f. 68million(EBIT– Taxes)

Free Cash flow to firmEBIT (1- tax rate)-(Cap Ex – Depreciation)- Change in non-cash WC=FCFF

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer3:HighGrowthforhowlong…

¨ Assumethatyouarevaluingayoung,highgrowthfirmwithgreatpotential,justafteritsinitialpublicoffering.Howlongwouldyousetyourhighgrowthperiod?

¨ <5years¨ 5years¨ 10years¨ >10years

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer4:TheCostofCapital

¨ ThecostofcapitalforChippewaTechnologies,aUStechnologyfirmwith20%ofitsrevenuesfromBrazil,hasbeencomputedusingthefollowinginputs:

Cost of equity = Riskfree Rate + Beta (ERP) + Small firm premium = 5% + 1.20 (5%) + 3% = 14%

Replaced current T.Bond rate of 3% with normalized rate of 5%

“Adjusted” Beta from Bloomberg

Both from Ibbotson data base, derived from 1926-2008 dataERP: Stocks - T.Bonds (Arithmetic average)Small firm: Smal stocks - Overall market

Cost of capital = Cost of equity (Equity/ (Debt + Equity)) + Cost of debt (1- tax rate) (Debt/ (Debt + Equity)= 14% (1000/2000) + 3% (1-.30) (1000/2000) = 8.05%

From above

Used market value of equity

Company is not rated and has no bonds. Used book interest rate = Int exp/ BV of debt

Used effective tax rate of 30%

To be conservative, counted all liabilities, other than equity, as debt and used book value.

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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TheCorrectCostofCapitalforChippewa

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Layer5:Thepriceofgrowth..

¨ Youarelookingattheprojectedcashflowsprovidedbythemanagementofthefirm,foruseinvaluation

¨ Whatquestionswouldyouraiseabouttheforecasts?

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer6:The“fixeddebtratio” assumption

¨ YouhavebeenaskedtovalueHormelFoods,afirmwhichcurrentlyhasthefollowingcostofcapital:¤ Costofcapital=7.31%(.9)+2.36%(.1)=6.8%

¨ Youbelievethatthetargetdebtratioforthisfirmshouldbe30%.Whatwillthecostofcapitalbeatthetargetdebtratio?

¨ Whichdebtratio(andcostofcapital)shouldyouuseinvaluingthiscompany?

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer7:TheTerminalValue

¨ Thebestwaytocomputeterminalvalueistoa. Useastablegrowthmodelandassumecashflowsgrowatafixed

rateforeverb. UseamultipleofEBITDAorrevenuesintheterminalyearc. Usetheestimatedliquidationvalueoftheassets¨ Youhavebeenaskedtovalueabusiness.Thebusinessexpectsto$

120millioninafter-taxearnings(andcashflow)nextyearandtocontinuegeneratingtheseearningsinperpetuity.Thefirmisallequityfundedandthecostofequityis10%;theriskfreerateis3%andtheERPis7%.Whatisthevalueofthebusiness?

¨ Assumenowthatyouweretoldthatthefirmcangrowearningsat2%ayearforever.Estimatethevalueofthebusiness.

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer8.Fromfirmvaluetoequityvalue:TheGarnishingEffect…

¨ Forafirmwithconsolidatedfinancialstatements,youhavediscountedfreecashflows tothefirmatthecostofcapitaltoarriveatafirmvalueof$100million.Thefirmhas¤ Acashbalanceof$15million¤ Debtoutstandingof$20million¤ A5%holdinginanothercompany:thebookvalueofthisholdingis$5

million.(Marketvalueofequityinthiscompanyis$200million)¤ Minorityinterestsof$10milliononthebalancesheet

¨ Whatisthevalueofequityinthisfirm?

¨ Howwouldyouranswerchangeifyouknewthatthefirmwasthetargetofalawsuititislikelytowinbutwherethepotentialpayoutcouldbe$100millionifitloses?

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer9.Fromequityvaluetoequityvaluepershare

¨ Youhavevaluedtheequityinafirmat$200million.Estimatethevalueofequitypershareifthereare10millionsharesoutstanding..

¨ Howwouldyouranswerchangeifyouweretoldthatthereare2millionemployeeoptionsoutstanding,withastrikepriceof$20ashareand5yearslefttoexpiration?

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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Layer10.Thefinalcircleofhell…

Cost of Equity Cost of Capital

Kennecott Corp (Acquirer) 13.0% 10.5%

Carborandum (Target) 16.5% 12.5%

Base year and accounitng fixaiton

Death and taxes

High growth for how long?

Whatʼs in your disocunt rate?

The terminal value: Itʼs not an ATM

Are you paying for growth?

Debt ratios change, donʼt they?

No garnishing allowed!!

From aggregate to per share value?

The Wasserstein-Perella bonus layer

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YOURNUMBERS/FINDINGS

“Thetruthshallsetyoufree”.

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TheModelsYouUsedinDCFValuation

DividendDiscount5% FCFE

5%

FCFF

90%

Modelused

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TheMostValuedCompany(Companies)..

1. Twitter(4)2. Square(5)3. UnderArmour (7)4. Yelp(9)5. Tesla(9)

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Andhereiswhyyoudoit..

CompanyName Price DCFModel DCFValue Multipleused RelativeValue Recommendation

Yelp $32.48 FCFF $43.52 EV/S $59.28 Buy

Yelp $35.68 FCFF $44.93 EV/Sales $58.98 Buy

Yelp $35.30 FCFF $50.77 EV/Sales $44.30 Buy

Yelp $35.68 FCFF $30.09 EV/Sales $47.54 Sell

Yelp $35.68 FCFF $39.95 EV/Sales $43.52 Buy

Yelp $35.68 FCFF2-stage $32.55 EV/Sales $35.45 Sell

YelpInc $35.37 FCFF $36.73 EV/Sales $55.13 Buy

YelpInc. $35.68 FCFF $37.39 ForwardPE $40.50 Buy

Yelp,Inc $35.50 FCFF $44.55 PEG $55.32 Buy

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Whatyoufound…

0.

10.

20.

30.

40.

50.

60.

70.

Undervaluedmorethan50%

Undervalued33-50%

Undervalued10-33%

Undervalued0-10%

Overvalued0-10%

Overvalued10-50%

Overvalued50-100%

Overvaluedmorethan100%

AxisTitle

AxisTitle

DCFValuevsMarketPrice

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Themostundervaluedstocks…

CompanyName Price DCFModel DCFValue Recommendation %UnderoroverPetrobras $9.32 FCFF $28.67 BUY -67.49% ThomasCook $0.93 FCFF £2.08 Buy -55.22% CEMEXS.A.B.deC.V.(BMV) $8.83 FCFF 16.44 Buy -46.29% AllyFinancial $19.71 Dividends $36.69 Buy -46.28% JetBlue $21.58 FCFF 39.57 Buy -45.46% SpiritAIrlines $59.19 FCFF2-Stage 104.88 BUY -43.56% AmericanAirlines $44.51 FCFF 78.12 Buy -43.02% FiatChrysler $10.28 FCFF €17.48 Buy -41.19% GrupoBimbo $44.85 FCFF $75.76 Buy -40.80% Geely $10.26 FCFF 17.14 Buy -40.14% MeetMe,Inc. $6.09 FCFF $10.00 Buy -39.10% PT.AdiSaranaArmadaTbk $260.00 FCFF 419.27 BUY -37.99% SKHynix 55,900.00 FCFF 86,534.32 Buy -35.40% SanchezOilCorporation $7.38 FCFF $11.35 Buy -34.98% Angie'sList $10.71 FCFF $16.42 Buy -34.77% CVSHealth $82.59 FCFF 124.47 Buy -33.65% SnapInc. $23.19 FCFF $34.88 Buy -33.51%

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TheMostOvervaluedstocksare...

CompanyName Price DCFModel DCFValue Recommendation %UnderoroverTwitter $18.69 FCFF $1.87 Sell 901.71% AMD $10.19 FCFF $1.73 Sell 489.02%Twitter $15.08 FCFF $2.92 Sell 416.44% CaesarsEntertainmentGroup $11.05 FCFF $2.21 Sell 400.00% Twitter $18.65 FCFF3-Stage $4.49 SELL 315.37% Schlumberger $71.97 FCFF $22.81 Hold 215.52%GrubHub(GRUB) $45.72 FCFF $14.93 Sell 206.23%JetAirways $529.00 FCFF $175.37 Sell 201.65%Trupanion $17.40 FCFF $5.88 Sell 195.92% BoingoWireless,Inc. $12.40 FCFF $4.25 Sell 191.76% AdvancedMicroDevices $10.19 FCFF $3.78 Sell 169.58% RedLionHotelsCorporation $6.40 FCFF $2.52 Sell 153.97% ShakeShack $34.03 FCFF $16.20 Sell 110.06% NintendoCo $28,355.00 FCFF $13,521.91 Sell 109.70% Meitu,Inc. $9.76 FCFF $4.92 Sell 98.37% BuffaloWildWings $160.35 FCFF $81.07 Sell 97.79% Tiffany&Co. $92.40 FCFF $47.08 Buy 96.26%

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Theultimatetest…Didundervaluedstocksmakemoney?

!5.00%&

0.00%&

5.00%&

10.00%&

15.00%&

20.00%&

Spring&1995& Spring&1997& Spring&1999& Spring&2001& Spring&2003& Spring&2005&

Performance*of**Recommenda-ons*

Buy&&

S&P&500&

Sell&

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Moreonthewinners...

¨ Onaverage,right:About60%ofallbuyrecommendationsmakemoney;about45%ofsellrecommendationsbeatthemarket.Theaveragereturnonbuyrecommendationswasabout4%higher,onanannualizedbasis,thantheaveragereturnonsellrecommendations.

¨ Moresoonsome:Theexcessreturnsonbuyrecommendationsonsmallcapandemergingmarketcompaniesishigherthantheexcessreturnsonlargemarketcapcompanies,withhighermistakesinbothdirectionsontheformer.

¨ Skewedpayoffs:Therearetwoorthreebigwinnersineachperiod,butthepayoffwasnotalwaysimmediate.BuyingApplein1999wouldhaveledtonegativereturnsforayearormore,beforetheturnaroundoccurred.

¨ Doublewhammy:StocksthatareundervaluedonbothaDCFandrelativevaluationbasisdobetterthanstocksthatareundervaluedononlyoneapproach.

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RelativeValuation:TheFourStepstoUnderstandingMultiples

¨ AnnaKournikovaknowsPE….Ordoesshe?¤ Inuse,thesamemultiplecanbedefinedindifferentwaysbydifferent

users.Whencomparingandusingmultiples,estimatedbysomeoneelse,itiscriticalthatweunderstandhowthemultipleshavebeenestimated

¨ 8timesEBITDAisnotalwayscheap…¤ Toomanypeoplewhouseamultiplehavenoideawhatitscrosssectional

distributionis.Ifyoudonotknowwhatthecrosssectionaldistributionofamultipleis,itisdifficulttolookatanumberandpassjudgmentonwhetheritistoohighorlow.

¨ Youcannotgetawaywithoutmakingassumptions¤ Itiscriticalthatweunderstandthefundamentalsthatdriveeachmultiple,

andthenatureoftherelationshipbetweenthemultipleandeachvariable.¨ Therearenoperfectcomparables

¤ Definingthecomparableuniverseandcontrollingfordifferencesisfarmoredifficultinpracticethanitisintheory.

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Value of Stock = DPS 1/(ke - g)

PE=Payout Ratio (1+g)/(r-g)

PEG=Payout ratio (1+g)/g(r-g)

PBV=ROE (Payout ratio) (1+g)/(r-g)

PS= Net Margin (Payout ratio)(1+g)/(r-g)

Value of Firm = FCFF 1/(WACC -g)

Value/FCFF=(1+g)/(WACC-g)

Value/EBIT(1-t) = (1+g) (1- RIR)/(WACC-g)

Value/EBIT=(1+g)(1-RiR)/(1-t)(WACC-g)

VS= Oper Margin (1-RIR) (1+g)/(WACC-g)

Equity Multiples

Firm Multiples

PE=f(g, payout, risk) PEG=f(g, payout, risk) PBV=f(ROE,payout, g, risk) PS=f(Net Mgn, payout, g, risk)

V/FCFF=f(g, WACC) V/EBIT(1-t)=f(g, RIR, WACC) V/EBIT=f(g, RIR, WACC, t) VS=f(Oper Mgn, RIR, g, WACC)

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TheMultiplesyouusedwere...

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DCFvsRelativeValuation

0.

10.

20.

30.

40.

50.

60.

70.

<50% 50-67% 67-90% 90%-100% 100-110% 110%-150% 150-200% >200% DCFasfractionofRelativeValue

DCFas%ofRelativeValue

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Mostunderpricedonarelativebasis…

CompanyName Price Multipleused RelativeValueRecommendation%UnderorOver:

RelativeVince $1.00 EV/S $9.07 Sell -88.97% Tesla $308.35 EV/Sales $1,622.99 Sell -81.00% SearsHoldingCorporation $10.76 VS $52.58 Sell -79.54% InsysTherapeutics $10.77 EV/Sales $49.04 BUY -78.04% Avon $3.69 EV/Sales $15.47 SELL -76.15% PT.AdiSaranaArmadaTbk $260.00 EV/EBIDTA $951.24 BUY -72.67% SquareEnixHoldings $3,345.00 EV/Sales $11,599.96 BUY -71.16% SKHynix $55,900 EV/EBITDA $172,783.82 Buy -67.65% VipshopHoldingsLimited $13.78 P/E $40.40 BUY -65.89% Barnes&Noble,Inc.(NYSE:BKS) $8.50 EV/EBITDA $23.33 Sell -63.57% ThomasCook $0.93 EV/EBITDA $2.55 Buy -63.47% GrupoBimbo $44.85 VS $105.40 Buy -57.45% FiatChrysler $10.28 P/E $23.19 Buy -55.68% MeetMe,Inc. $6.09 EV/Sales $12.90 Buy -52.79% ARCELIKAS $23.16 EV/EBITDA $46.50 Buy -50.19% AllyFinancial $19.71 P/TBV $39.51 Buy -50.12% Daimler $68.88 PBV $132.27 Buy -47.92%

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Mostoverpricedonarelativebasis…

CompanyName Price MultipleusedRelativeValueRecommendation%UnderorOver:

RelativeTwitter $18.69 EV/Sales $1.03 Sell 1708.96% ChinaMedicalSystem $13.33 EV/Sales $1.40 Sell 852.14% SouthwestAirlines(LUV) $58.40 P/E $8.12 Sell 619.21% Valeant $10.07 EV/EBITDA $2.16 SELL 366.20% Square,Inc.(NYSE:SQ) $19.78 EV/Sales $4.45 Sell 344.49%

AdvancedMicroDevices $10.19 EV/Inv Capital $2.78 Sell 266.55%MGMResortsInternational $30.85 VEBITDA $9.30 Sell 231.72% Tesla,Inc. $308.35 PBV $100.52 Sell 206.75%CableOne $676.00 EV/EBITDA $221.66 Sell 204.97%S.M.ENTERTAINMENT $27,000 PE $8,889.00 SELL 203.75% Exelixis $21.69 EV/Sales $7.25 SELL 199.17% Ctrip.com $52.68 Ev/Sales $17.72 Sell 197.29% SNAPInc. $23.19 PBV $7.95 Sell 191.70% Twitter $15.08 EV/S $5.20 Sell 190.00% OccidentalPetroleumCorp. $60.19 VEBITDA $22.25 Sell 170.52% PaneraBread $274.00 EV/S $105.96 Sell 158.59% UnderArmour,Inc. $20.59 PE $8.24 Sell 150.00%

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ContingentClaim(Option)Valuation

¨ Optionshaveseveralfeatures¤ Theyderivetheirvaluefromanunderlyingasset,whichhasvalue¤ Thepayoffonacall(put)optionoccursonlyifthevalueofthe

underlyingassetisgreater(lesser)thananexercisepricethatisspecifiedatthetimetheoptioniscreated.Ifthiscontingencydoesnotoccur,theoptionisworthless.

¤ Theyhaveafixedlife¨ Anysecuritythatsharesthesefeaturescanbevaluedasan

option.

¨ Numberoffirmsvaluedusingoptionmodels=12¨ MedianPercentincreaseinvalueoverDCFvalue=117.38%

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ValueEnhancement…Youtoocandoit!

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EconomicValueAdded(EVA)andCFROI

Aswath Damodaran

33

¨ TheEconomicValueAdded(EVA)isameasureofsurplusvaluecreatedonaninvestment.¤ Definethereturnoncapital(ROC)tobethe“true” cashflowreturnoncapitalearnedonaninvestment.

¤ Definethecostofcapitalastheweightedaverageofthecostsofthedifferentfinancinginstrumentsusedtofinancetheinvestment.

¤ EVA=(ReturnonCapital- CostofCapital)(CapitalInvestedinProject)

¨ TheCFROIisameasureofthecashflowreturnmadeoncapital¤ ItiscomputedasanIRR,baseduponabasevalueofcapitalinvestedandthecashflowonthatcapital.

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Thebottomline…

Aswath Damodaran

34

¨ Thevalueofafirmisnotgoingtochangejustbecauseyouuseadifferentmetricforvalue.Allapproachesthatarediscountedcashflowapproachesshouldyieldthesamevalueforabusiness,iftheymakeconsistentassumptions.

¨ Iftherearedifferencesinvaluefromusingdifferentapproaches,theymustbeattributabletodifferencesinassumptions,eitherexplicitorimplicit,behindthevaluation.

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FirmValueusingEVAApproach

Aswath Damodaran

35

CapitalInvestedinAssetsinPlace = $100EVAfromAssetsinPlace=(.15– .10)(100)/.10 = $50+PVofEVAfromNewInvestmentsinYear1=[(.15-– .10)(10)/.10] = $5+PVofEVAfromNewInvestmentsinYear2=[(.15-– .10)(10)/.10]/1.1= $4.55+PVofEVAfromNewInvestmentsinYear3=[(.15-– .10)(10)/.10]/1.12= $4.13+PVofEVAfromNewInvestmentsinYear4=[(.15-– .10)(10)/.10]/1.13= $3.76+PVofEVAfromNewInvestmentsinYear5=[(.15-– .10)(10)/.10]/1.14= $3.42ValueofFirm = $170.85

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FirmValueusingDCFValuation:EstimatingFCFF

Aswath Damodaran

36

BaseY ear

1 2 3 4 5 Term.Y ear

EBIT (1-t) : Assets in Place $ 15.00 $ 15.00 $ 15.00 $ 15.00 $ 15.00 $ 15.00

EBIT(1-t) :Investments- Yr 1 $ 1.50 $ 1.50 $ 1.50 $ 1.50 $ 1.50

EBIT(1-t) :Investments- Yr 2 $ 1.50 $ 1.50 $ 1.50 $ 1.50

EBIT(1-t): Investments -Yr 3 $ 1.50 $ 1.50 $ 1.50

EBIT(1-t): Investments -Yr 4 $ 1.50 $ 1.50

EBIT(1-t): Investments- Yr 5 $ 1.50

Total EBIT(1-t) $ 16.50 $ 18.00 $ 19.50 $ 21.00 $ 22.50 $ 23.63

- Net Capital Expenditures $10.00 $ 10.00 $ 10.00 $ 10.00 $ 10.00 $ 11.25 $ 11.81

FCFF $ 6.50 $ 8.00 $ 9.50 $ 11.00 $ 11.25 $ 11.81

After year 5, the reinvestment rate is 50% = g/ ROC

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FirmValue:PresentValueofFCFF

Aswath Damodaran

37

Year 0 1 2 3 4 5 Term Year

FCFF $ 6.50 $ 8.00 $ 9.50 $ 11.00 $ 11.25 $ 11.81

PV of FCFF ($10) $ 5.91 $ 6.61 $ 7.14 $ 7.51 $ 6.99

Terminal Value $ 236.25

PV of Terminal Value $ 146.69

Value of Firm $170.85

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Gamingthesystem:DeliveringhighcurrentEVAwhiledestroyingvalue…

Aswath Damodaran

38

¨ TheGrowthtradeoffgame:ManagersmaygiveupvaluablegrowthopportunitiesinthefuturetodeliverhigherEVAinthecurrentyear.

¨ TheRiskgame:ManagersmaybeabletodeliverahigherdollarEVAbutinriskierbusinesses.ThevalueofthebusinessisthepresentvalueofEVAovertimeandtheriskeffectmaydominatetheincreasedEVA.

¨ TheCapitalInvestedgame:ThekeytodeliveringpositiveEVAistomakeinvestmentsthatdonotshowupaspartofcapitalinvested.Thatway,youroperatingincomewillincreasewhilecapitalinvestedwilldecrease.

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Actingonvaluation:Itisnotjustanacademicexercise

a. Iamnotsureyet:Uncertaintyisnotashieldagainstaction.Ifyouwaituntilyoufeel“certain”aboutyourvaluation,youwillneveract.

b. Allbelieversnow?Ultimately,youhavetobelieveinsomemodicumofmarketefficiency.Marketshavetocorrecttheirmistakesforyourvaluationstopayoff.

c. Thelawoflargenumbers:Assumingyourvaluationscarryheft,youarefarmorelikelytoberightacrossmanycompaniesthanonanyindividualone.

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Yourrecommendationswereto..

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Pickingyourvaluationapproach

¨ Assetcharacteristics¤ Marketability¤ Cashflowgeneratingcapacity¤ Uniqueness

¨ Yourcharacteristics¤ Timehorizon¤ Reasonsfordoingthevaluation¤ Beliefsaboutmarkets

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Whatapproachwouldworkforyou?

¨ Asaninvestor,givenyourinvestmentphilosophy,timehorizonandbeliefsaboutmarkets(thatyouwillbeinvestingin),whichofthetheapproachestovaluationwouldyouchoose?

a. DiscountedCashFlowValuationb. RelativeValuationc. Neither.Ibelievethatmarketsareefficient.

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StoryTellers?NumberCrunchers?

¨ Ifyouareastoryteller,Ihopethatyouhave¤ Moreconfidenceinyournumbercrunching¤ Moredisciplineinyourstories¤ Lessintimidation,whenconfrontedwithnumbercrunchers

¨ Ifyouareanumbercruncher,Ihopethatyouhave¤ Morewillingnesstoputstoriesbehindyournumbers¤ Moreimaginationinyournumbercrunching¤ Moreunderstanding,whenconfrontedwithstorytelling

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SomeNotVeryProfoundAdvice

1. Itsallinthefundamentals.2. Focusonthebigpicture.Don’tsweatthesmall

stuffanddon’tgetdistracted.3. Anecdotesmeanlittleandexperiencedoesnot

equalknowledge.4. Keepyourperspective.Itisonlyavaluation.5. Ininvesting,luckdominatesskillandknowledge.DonotforgettodoyourCFEs.Yourabilitytocheckyourgrade

restsonit.