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    MARKET-BASED

    VALUATION:

    PRICE AND ENTERPRISE

    VALUE MULTIPLES

    PresenterVenueDate

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    VALUATION INDICATORS

    PriceMultiples

    EnterpriseValue

    Multiples

    MomentumIndicators

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    METHODS FOR PRICE & ENTERPRISE VALUE

    MULTIPLES

    1) Method of Comparables

    Economic rationale is the law of one price

    2) Method Based on Forecasted Fundamentals

    Reflects firm fundamentals and future cash flows

    Justified Price Multiples

    Can be determined using either method

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    PRICE-TO-EARNINGS MULTIPLE

    RATIONALES & DRAWBACKS

    Rationales

    EPS is driver of value

    Widely used

    Related to stockreturns

    Drawbacks

    Zero, negative, or verysmall earnings

    Permanent vs.transitory earnings

    Managementdiscretion for earnings

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    PRICE-TO-EARNINGS MULTIPLE

    DEFINITIONS

    TrailingP/E

    Uses lastyears

    earnings

    Preferredwhen

    forecastedearnings arenot available

    ForwardP/E

    Uses nextyears

    earnings

    Preferredwhen trailingearnings arenot reflective

    of future

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    EXAMPLE: FORWARD P/E

    Stock price $20 .002011:Q1 EPS $0 .18

    2011:Q2 EPS $0 .25

    2011:Q3 EPS $0 .32

    2011:Q4 EPS $0 .352011 Fiscal year forecast $1 .10

    2012:Q1 EPS $0 .43

    2012:Q2 EPS $0 .482012:Q3 EPS $0 .50

    2012:Q4 EPS $0 .59

    2012 Fiscal year forecast $2 .00

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    EXAMPLE: FORWARD P/E

    1) Forward P/E based on EPS for the next 4 quarters:

    EPS for the next 4 quarters = $0.35 $0.43 $0.48 $0.50 $1.76

    Forward P/E based on EPS for the next 4 quarters $20 $1.76 11.4

    2) Forward P/E based on EP

    S for the NTM (next 12 months):

    1 11EPS for the NTM $1.10 $2.00 $1.92512 12

    Forward P/E based on EPS for the NTM $20 $1.925 10.4

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    EXAMPLE: FORWARD P/E

    3) Forward P/E based on the current fiscal year's EPS:

    EPS for the current fiscal year $1.10

    Forward P/E based on EPS for the current fiscal year $20 $1.10 18.2

    4) Forward P/E based on the next fiscal ye

    ar's EPS:

    EPS for the next fiscal year $2.00

    Forward P/E based on EPS for the next fiscal year $20 $2.00 10.0

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    ISSUES IN CALCULATING EPS

    EPS DilutionUnderlyingEarnings

    NormalizedEarnings

    Differences

    in AccountingMethods

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    EXAMPLE: UNDERLYING EARNINGS

    Reported EPS from previous four quarters $4 .00

    Restructuring charges $0 .10

    Amortization of intangibles $0 .15

    Impairment charge $0 .20

    Stock price $50 .00

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    EXAMPLE: UNDERLYING EARNINGS

    P/E based on reported earnings $50 $4.00 12.5

    Reported core earnings $4.00 $0.10 $0.15 $0.20 $4.45

    P/E based on reported core earnings $50 $4.45 11.2

    Underlying earnings $4.00 $0.20 $4.20

    P/E based on und

    erlying earnings $50 $4.20 11.9

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    EXAMPLE: NORMALIZED EARNINGS

    Year EPS BVPS ROE

    2010 $0.66 $4.11 16.1%

    2009 $0.55 $3.67 15.0%

    2008 $0.81 $2.98 27.2%

    2007 $0.73 $2.12 34.4%

    2006 $0.34 $1.61 21.1%

    2011 stock price $24.00

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    EXAMPLE: NORMALIZED EARNINGS

    1) Method of historical average EPS

    ($0.66 $0.55 $0.81 $0.73 $0.34)Average (normalized) EPS $0.618

    5

    P/E $24.00 $0.618 38.8

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    EXAMPLE: NORMALIZED EARNINGS

    2) Method of average ROE

    (16.1% 15.0% 27.2% 34.4% 21.1%)Average ROE 22.8%

    5

    Average (normalized) EPS Average ROE Current equity book value per shareAverage (normalized) EPS 22.8% $4.11 $0.937

    P E $24.00

    $0.937 25.6

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    JUSTIFIED FORWARD P/E FROM

    FUNDAMENTALS

    1

    0

    0 1 1

    1

    0

    1

    1

    DV

    r g

    P D EE r g

    P b

    E r g

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    JUSTIFIED TRAILING P/E FROM

    FUNDAMENTALS

    00

    0 0 0

    0

    0

    0

    (1 )

    (1 )

    (1 )(1 )

    D gV

    r g

    P D g EE r g

    P b g

    E r g

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    EXAMPLE: JUSTIFIED FORWARD P/E

    FROM FUNDAMENTALS

    Retention ratio 0 .36

    Dividend growth rate 4 .0%

    Required return on stock 10 .0%

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    EXAMPLE: JUSTIFIED FORWARD P/E

    FROM FUNDAMENTALS

    0

    1

    0

    1

    1=

    1 0.36= =10.7

    0.10 0.04

    P b

    E r gP

    E

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    EXAMPLE: JUSTIFIED P/E FROM

    REGRESSION ON FUNDAMENTALS

    Predicted P/E

    11.5 2.2 DPR + 0.03 Beta + 16.2 EGR

    Values for subject firm

    Dividend payout ratio 0 .40

    Beta 1 .20

    Earnings growth rate 6 .00%Actual P/E 15 .0

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    EXAMPLE: JUSTIFIED P/E FROM

    REGRESSION ON FUNDAMENTALS

    Predicted P/E

    11.5 2.2 DPR 0.03 Beta 16.2 EGR

    11.5 2.2 0.4 + 0.03 1.2 16.2 0.06

    13.3

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    METHOD OF COMPARABLES

    Benchmark Value of theMultiple Choices

    Industry

    peers

    Industryor sector

    index

    Broadmarket

    index

    Firmshistorical

    values

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    METHOD OF COMPARABLES

    USING PEER COMPANY MULTIPLES

    Law of one price

    Risk and earnings growth adjustments

    PEG limitations:Assumes linear relationship

    Does not account for risk

    Does not account for growth duration

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    EXAMPLE: METHOD OF COMPARABLES

    USING P/E AND PEG

    Values for subject firm

    Five-year EPS growth rate 8 .0%

    Consensus EPS forecast $4 .50Current stock price $28 .00

    Values for peer group

    Median P/E 9 .00

    Median PEG 1 .60

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    EXAMPLE: METHOD OF COMPARABLES

    USING P/E AND PEG

    P/E $28.00 $4.50 6.2

    PEG 6.2 8.0 0.78

    Intrinsic value 9.0 $4.50 $40.50

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    METHOD OF COMPARABLES

    USING INDUSTRY AND MARKET MULTIPLES

    Industry or Sector Index

    Mean vs. median

    Check industry valuation against market

    Broad Market Index

    Adjust for differences in fundamentals & size

    Use relative values on a historical basis

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    METHOD OF COMPARABLES

    VALUING THE MARKET

    Fed Model: Earnings Yield vs. T-Bond Yield

    Does not account for inflation correctly

    Relationship between earnings yield &

    interest rates is nonlinear Small rate s large s in P/E

    Yardeni Model

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    METHOD OF COMPARABLES

    USING OWN HISTORICAL MULTIPLES

    Rationale: Regression to the MeanApproaches:

    Average of four middle values over past 10 years

    Five-year average trailing P/E

    Potential Problems from Changes in

    Firm business

    Firm financial leverage

    Interest rate environmentEconomic fundamentals

    Inflationary environment

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    USING P/ES FOR TERMINAL VALUE

    Justified P/E

    P/E=

    (D/E)/(rg)

    Sensitive to requiredinputs

    P/E Based onComparables

    Grounded in marketdata

    If comp is mispriced,terminal value willbe mispriced

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    EXAMPLE: USING P/ES FOR TERMINAL VALUE

    Values for subject firm

    Required rate of return 11 .0%

    EPS forecast for year 3 $2 .50

    Values for peer group

    Mean dividend payout ratio 0 .40

    Mean ROE 8 .0%

    Median P/E 9 .00

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    EXAMPLE: USING P/ES FOR TERMINAL VALUE

    USING GORDON GROWTH MODEL

    3 3

    3

    33

    EPS Dividend payout ratio

    $2.50 0.40 $1.00

    Retention ratio 1 Dividend payout ratio

    Retention ratio 1 0.40 0.60

    Retention ratio ROE

    0.60 8% 4.8%

    1 $1.00 1 0.048$16.90

    0.11 0.048

    D

    D

    g

    g

    D gV

    r g

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    PRICE-TO-BOOK VALUE MULTIPLE

    RATIONALES

    Book Value Is Usually Positive

    More Stable than EPS

    Appropriate for Financial Firms

    Appropriate for Firms that Will Terminate

    Can explain stock returns

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    PRICE-TO-BOOK VALUE MULTIPLE

    DRAWBACKS

    Does Not Recognize Nonphysical Assets

    Misleading when Asset Levels Vary

    Can Be Misleading Due to Accounting Practices

    Less Useful when Asset Age Differs

    Can Be Distorted Historically by Repurchases

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    ADJUSTMENTS TO BOOK VALUE

    IntangibleAssets

    InventoryAccounting

    Off-Balance-Sheet Items Fair Value

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    JUSTIFIED P/B

    00 0

    PV Expected future residual earnings1

    P

    B B

    0

    0

    ROE

    P g

    B r g

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    PRICE-TO-SALES

    MULTIPLE RATIONALES

    Sales Less Easily Manipulated

    Sales Are Always Positive

    P/S Appropriate For Mature, Cyclical, & Distressed Firms

    P/S More Stable Than P/E

    Can Explain Stock Returns

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    PRICE-TO-SALES

    MULTIPLE DRAWBACKS

    Sales Earnings & Cash Flow

    Numerator & Denominator Not Consistent

    P/S Does Not Reflect Cost Differences

    P/S Can Be Misleading Due to AccountingPractices

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    JUSTIFIED P/S

    0 0 0

    0

    ( / )(1 )(1 )

    P E S b g

    S r g

    0

    ROE

    Sales Total assetsPM

    Total assets Shareholders equity

    g b

    g b

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    EXAMPLE: CALCULATING THE ACTUAL & JUSTIFIED

    P/E, P/B, & P/S

    Stock price $50 .00

    EPS $2 .00

    Dividends per share $1 .20

    Book value of equity per share $6 .25Sales per share $15 .00

    ROE 22 .5%

    Required return on stock 12 .0%

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    EXAMPLE: CALCULATING THE ACTUAL

    P/E, P/B, & P/S

    0

    0

    0

    0

    0

    0

    $50Actual 25.0

    $2

    $50Actual 8.0$6.25

    $50Actual 3.3

    $15

    P

    E

    P

    B

    P

    S

    EXAMPLE CALCULATING THE INPUTS FOR

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    EXAMPLE: CALCULATING THE INPUTS FOR

    THE JUSTIFIED

    P/E, P/B, & P/S

    Dividend payout ratio $1.20 $2.00 0.60

    Retention ratio ( ) 1 0.60 0.40

    Growth rate in dividends ( ) 0.40 22.5% 9.0%

    b

    g

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    EXAMPLE: CALCULATING THE JUSTIFIED

    P/E, P/B, & P/S

    0 0 0

    0

    ( )(1 )(1 ) ($2 $15)(0.6)(1.09)

    2.9

    0.12 0.09

    P E S b g

    S r g

    0

    0

    (1 )(1 ) (1 0.60)(1 0.09)21.8

    0.12 0.09

    P b g

    E r g

    0

    0

    ROE 0.225 0.09 4.50.12 0.09

    P gB r g

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    PRICE-TO-CASH-FLOW

    MULTIPLE RATIONALES

    Cash Flow Less Easily Manipulated

    Ratio More Stable Than P/E

    Ratio Addresses Quality of Earnings Issue with P/E

    Ratio Can Explain Stock Returns

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    PRICE-TO-CASH-FLOW

    MULTIPLE DRAWBACKS

    Cash Flow Can BeDistorted

    FCFE More Volatileand More Frequently

    Negative

    Cash Flow IncreasinglyManaged by Firms

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    DEFINITIONS OF CASH FLOW

    Earnings + Depreciation +Amortization + DepletionCF

    From statement of cash flowsCFO Most valid but volatileFCFE

    Best used with enterprisevalueEBITDA

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    JUSTIFIED PRICE-TO-CASH-FLOW RATIO

    0

    0

    FCFE (1 )

    g

    V r g

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    DIVIDEND YIELD

    RATIONALES & DRAWBACKS

    Rationales

    Component of return

    Dividends less risky

    than future capitalgains

    DrawbacksOnly one component of

    return

    Dividends may displacefuture earnings

    Market may not favordividends

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    JUSTIFIED DIVIDEND YIELD

    0

    0

    1

    D r g

    P g

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    INVERSE PRICE RATIOS

    Price RatioInverse Price Ratio

    Price-to-earnings (P/E) Earnings yield (E/P)

    Price-to-book (P/B) Book-to-market (B/P)

    Price-to-sales (P/S) Sales-to-price (S/P)

    Price-to-cash-flow (P/CF) Cash flow yield (C/P)

    Price-to-dividends (P/D) Dividend yield (D/P)

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    ENTERPRISE VALUE/EBITDA MULTIPLE

    RATIONALES & DRAWBACKS

    RationalesUseful for comparing firms

    of different leverage

    Useful for comparing firmsof different capital utilization

    Usually positive

    Drawbacks

    Exaggerates cash flow

    FCFF more strongly

    grounded

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    ISSUES IN USING ENTERPRISE VALUE

    MULTIPLES

    EV = Market Value of Stock + DebtCashInvestments

    Justified EV/EBITDA

    Positively related to FCFF growth

    Positively related to ROIC

    Negatively related to WACC

    Comparables May Utilize TIC

    Other EV Multiples

    EV/FCFF EV/EBITA

    EV/EBIT

    EV/S

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    CROSS-COUNTRY COMPARISONS

    Net income higher under IFRS Shareholder's equity lower under IFRS

    ROE higher under IFRSUS GAAPvs. IFRS

    P/CFO & P/FCFE most comparable P/B, P/E, & EBITDA multiples least

    comparableValuationMultiples

    Higher inflation

    Lower justified pricemultiples

    Higher pass-through rates Higher justifiedprice multiples

    Inflation

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    MOMENTUM INDICATORS:

    EARNINGS SURPRISES

    EPS EPS UESUEUEEPS EPS

    t t

    t t

    E tt

    E t

    UE EPS EPS t tEt

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    VALUATION INDICATORS IN PRACTICE:

    AVERAGING MULTIPLES

    Overestimate of index P/EArithmetic

    Mean &Weighted Mean

    Closer to index P/E but isinfluenced by small outliers

    Harmonic Mean

    Equal to index P/EWeighted

    Harmonic Mean

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    VALUATION INDICATORS IN PRACTICE:

    STOCK SCREENS

    Database Limitations

    Variables are predetermined

    Does not contain qualitative data

    Look-Ahead Bias

    Assumes investor has info not yet available

    Sector Rotation

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    SUMMARY

    Method of comparables

    Method based on forecasted fundamentals

    Price & Enterprise Value Multiples

    Rationales: EPS Driver of value; widely used;related to stock returns

    Drawbacks: Zero, negative, or very small earnings;

    transitory components; management discretion forearnings

    Trailing and forward P/Es

    Price-to-Earnings Rationales & Drawbacks

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    SUMMARY

    EPS dilution

    Underlying earnings

    Normalized earnings

    Differences in accounting methods

    Issues in Calculating EPS

    Industry peers

    Industry or sector index Broad market index

    Own historical values

    Method of Comparables

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    SUMMARY

    Rationales: Book value usually > 0, more stable than EPS,appropriate for financial firms & firms that will terminate,explains stock returns

    Drawbacks: Doesnt recognize nonphysical assets, misleadingif asset levels vary or differ from accounting practices, lessuseful when asset age differs, can be distorted by repurchases

    Price-to-Book Rationales & Drawbacks

    Intangible assets

    Inventory accounting Off-balance-sheet items

    Fair value

    Issues in Calculating Book Value

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    SUMMARY

    Rationales: Sales less easily distorted, sales always positive,P/S more stable than P/E, appropriate for many firms,explains stock returns

    Drawbacks: Sales Earnings & Cash flow, numerator &denominator not consistent, does not reflect cost differences,can be distorted

    Price-to-Sales Rationales & Drawbacks

    Rationales: CF less easily manipulated, more stable than

    P/E, addresses quality of earnings issue, explains stockreturns

    Drawbacks: can be distorted, FCFE more volatile and morefrequently negative, increasingly managed by firms

    Price-to-Cash-Flow Rationales & Drawbacks

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    SUMMARY

    CF: Earnings + Depreciation + Amortization + Depletion

    CFO: From statement of cash flows

    FCFE: Most valid but volatile

    EBITDA: Best used with enterprise value

    Measures of Cash Flow

    Rationales: A component of return, dividends less risky

    than future capital gains Drawbacks: Only one component of return, dividends

    may displace future earnings, market may not favordividends

    Dividend Yield Rationales & Drawbacks

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    SUMMARY

    Useful when denominators are small, low, or negative(e.g., earnings)

    Earnings yield, book-to-market, sales-to-price, cashflow yield, and dividend yield

    Inverse Price Ratios

    EV = Market value of stock + DebtCashInvestments

    Rationales: Useful for comparing firms of differentleverage & capital utilization, usually positive

    Drawbacks: Exaggerates cash flow, FCFF morestrongly grounded

    Enterprise Value Multiples

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    SUMMARY

    P/E: + related to g,related to r

    P/B: + related to ROE,related to r

    P/S: + related to g& PM,related to r

    P/CF: + related to g,related to r

    D/P: - related to g, + related to r

    EV/EBITDA: + related to gand PM, related to WACC

    Justified Multiples

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    SUMMARY

    IFRS ROE higher than GAAP ROE

    P/CFO & P/FCFE most comparable

    P/B, P/E, & EBITDA multiples leastcomparable

    Higher inflationLower justified pricemultiples

    Higher pass-through rates Higherjustified price multiples

    Cross-Country Comparisons

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    SUMMARY

    Unexpected earnings (UE)

    Standardized unexpected earnings (SUE)

    Relative strength

    Momentum Indicators

    Database limitations

    Potential look-ahead bias

    Used in sector rotation

    Stock Screens