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    Residual income valuation

    &Relative valuation

    Amit Obhan

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    Residual income valuation

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    Streams of Expected Cash Flows

    Residual

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    1. Residual income

    Residual income (RI), or economic profit, is the net income of afirm less a charge that measures stockholders opportunity cost ofcapital

    The rationale for the residual income approach is that it recognizesthe cost of equity capital in the measurement of income

    This concept of economic income is not reflected in traditionalaccounting income, whereby a firm can report positive net incomebut not meet the return requirements of its equity investors

    Accounting net income includes a cost of debt (i.e., interestexpense), but does not reflect dividends or other equity capital-related funding costs

    This means that accounting income may overstate returns from theperspective of equity investors. Conversely, residual incomeexplicitly deducts all capital costs

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    2. Economic value added

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    3. Market value added

    Market value added (MV A) is the differencebetween the market value of a firms long-term debt and equity and the book value of

    invested capital supplied by investors It measures the value created by

    managements decisions since the firmsinception

    MVA is calculated as:

    oMVA = market value invested capital

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    About RI Models

    There are several commercially available

    residual income-based valuation models

    Models, like EV A and MVA, usually apply the

    concept of residual income to the

    measurement of managerial effectiveness and

    executive compensation

    Thus we will focus on Residual income models

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    Forecasting residual income

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    Valuation using residual income

    The residual income valuation model breaks theintrinsic value of a stock into two elements:

    1. current book value of equity and

    2. present value of expectedfuture Residual income:

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    Residual income valuation

    modelcontd

    The general residual income models make noassumptions regarding the long-term future earningsor dividend growth

    However, if we make the simplifying assumption of a

    constant dividend and earnings growth rate, we candevelop a residual income model that highlights thefundamental drivers of residual income

    This model is actually just another version of the Gordon growth model, soif you can use the same inputs, both models will give you the same valueestimates

    The first term is the book value and the second term is the present value

    of expected future residual income

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    Multi-stage residual income

    As we modeled in DDM, we can also forecast residualincome in multi-stage depending on the assumption aboutindustry and firms competitive advantage over the longerterm

    It involves forecasting residual income over a short-termand then make simplifying assumptions about the patternof residual income growth over long term Residual income is expected to persist at its current level forever

    Residual income is expected to drop immediately to zero

    Residual income is expected to decline to a long-run averagelevel consistent with a mature industry

    Residual income is expected to decline over time as ROE falls tothe cost of equity (in which case residual income is eventuallyzero)

    V0 = B0 + (PV of interim high-growth RI) + (PV of continuing residual income)

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    RI vs. DDM vs. FCFE

    DDM and FCFE models measure value by discounting a stream of expected cash flowswhere as the residual income model starts with a book value and adds to this the presentvalue of the expected stream of residual income

    Theoretically, the intrinsic value derived using expected dividends, expected free cash flowto equity, or book value plus expected residual income should be identical if the underlyingassumptions used to make the necessary forecasts are the same

    In reality, however, it is rarely possible to forecast all of the common inputs with the same

    degree of accuracy, and the different models yield different results

    It may be helpful though, to use a residual income model alongside a DDM or FCFE modelto assess the consistency of results. If the different models provide dramatically different

    estimates, the inconsistencies may result from the models underlying assumptions

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    Strengths and weakness of RI Model

    Strengths

    Terminal value does not dominate theintrinsic value estimate, as is the case

    with dividend discount and free cashflow valuation models

    Residual income models useaccounting data, which is usually easyto find

    The models are applicable to firms thatdo not pay dividends or that do nothave positive expected free cash flows

    in the short run The models are applicable even when

    cash flows are volatile

    The models focus on economicprofitability rather than just onaccounting profitability

    Weakness

    The models rely on accounting datathat can be manipulated bymanagement

    Reliance on accounting data requiresnumerous and significant adjustments

    The models assume that the cleansurplus relation holds or that its failureto hold has been properly taken intoaccount

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    Selection of residual income model

    Residual income models are appropriate under thefollowing circumstances:

    A firm does not pay dividends, or the stream of payments is toovolatile to be sufficiently predictable

    Expected free cash flows are negative for the foreseeable future

    The terminal value forecast is highly uncertain, which makesdividend discount or free cash flow models less useful

    Residual income models are not appropriate under thefollowing circumstances:

    The clean surplus accounting relation is violated significantly

    There is significant uncertainty concerning the estimates ofbook value and return on equity

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    Relative valuation

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    Relative valuation techniques

    Relative valuations are based on current equityvaluations in the market

    Multiples of an industry or a firm is compared to thatof comparable industry or firm

    Relative valuation techniques are most appropriatewhen the market itself is neither severely over- orundervalued

    Most valuations on Wall Street are relative valuations

    Almost 85% of equity research reports are based upon amultiple and comparables

    More than 50% of all acquisition valuations are basedupon multiples

    Rules of thumb based on multiples are not only common

    but are often the basis for final valuation judgments

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    To do relative valuation

    compare the standardized value or multiple for the asset being analyzedto the standardized values for comparable asset, controlling for any

    differences between the firms that might affect the multiple, to judge

    whether the asset is under or over valued

    convert these market values into standardized values, since theabsolute prices cannot be compared, this process of standardizing

    creates price multiples

    Identify comparable assets and obtain market values for theseassets

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    Price Multiples

    Price to Earnings (P/E)

    Price to Book Value (P/BV)

    Price to Sales (P/S)

    Price to Cash Flow (P/CF)

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    Price to Earnings (P/E)

    Rational for using P/E ratio in valuation

    Earnings power, measured by EPS is the primary determinant ofinvestment value

    The P/E ratio is popular in the investment community

    Empirical research shows that stocks with low P/E have given higherreturns

    Drawbacks of using P/E ratio

    Earnings can be negative which produces useless P/E ratio The volatile, transitory portion of earnings makes the interpretation

    of P/E difficult

    Management discretion within allowed accounting practices candistort reported earnings and thereby lessen the comparability of P/Eratios across firms

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    Price to Earnings (P/E)

    We can define 2 versions of P/E ratio

    Trailing P/E: Uses earnings over the most recent

    12 month in the denominator

    Leading P/E: Uses next years expected earnings

    which is defined as either expected EPS for thenext four quarter or next fiscal year

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    Price to Book Value (P/BV)

    Advantages of P/BV ratio

    Book value is cumulative amount that is usually positive,even when the firm reports a loss and EPS is negative

    BV is more stable than EPS, thus it is more useful when EPS

    is volatile BV is an appropriate measure of net asset value for firms

    that primarily hold liquid assets. For e.g. finance,investment, insurance and banking firms

    It can be used to value companies that are expected to goout of business

    Empirical research shows that P/BV ratios help explaindifferences in long-run average return

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    Price to Book Value (P/BV)Contd

    Disadvantages of using P/BV P/BV ratios do not recognize the value of non physical

    assets such as human capital

    P/BV ratios can be misleading when there are

    significant differences in the assets due to differentproduction methods

    Different accounting conventions can obscure the trueinvestment in the firm made by shareholders, whichreduces the comparability

    Inflation and technological changes can cause thebook and market value of assets to differ significantly,thus book value may not be an accurate measure ofshareholders investment

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    There are a few adjustments we must consider

    Use tangible book value i.e. BV of equity intangible asset

    (It includes goodwill, patent) Adjust for significant off-balance-sheet assets and liabilities

    Adjust for differences in fair and recorded value of assets

    and liabilities

    Adjust for different accounting method for comparability

    Price to Book Value (P/BV)Contd

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    Price to Sales (P/S)

    The rationales for using the price to sales ratio include P/S is meaningful even for distressed firms, since sales

    revenue is always positive. This is not the case with P/E &P/BV which can be negative

    Sales revenue is not as easy to manipulate or distort as EPSor BV, which are significantly affected by accountingconventions

    P/S ratios are less volatile

    Appropriate for valuing stocks in mature or cyclical

    industries and for start-up companies with no record ofearnings

    Like P/E and P/BV ratios, empirical research has shown thatdifferences in P/S are significantly related to differences inlong-turn average return

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    Price to Sales (P/S)Contd

    The disadvantages of using P/S ratios

    High growth in sales does not necessarily indicateoperating profits as measured by earnings and cash flows

    P/S ratios do not capture difference in cost structure across

    companies While less subject to distortion than earnings or cash

    flows, revenue recognition practices can still distort salesforecast

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    Price to Cash Flow (P/CF)

    Rational for using price to cash flow ratio Cash flow is more difficult for managers to manipulate than

    earnings

    It is more stable than price to earnings

    Reliance on cash flow rather than earnings addresses theproblem of differences in the quality of reported earnings

    Empirical research has shown that differences in P/CF ratios aresignificantly related to differences in long-run average stockreturn

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    Price to Cash Flow (P/CF)Contd

    Drawbacks of price to cash flow ratios

    Some items affecting actual cash flow from operationsare ignored when the EPS plus noncash chargesestimate is used. For example, noncash revenue and

    net changes in working capital are ignored

    From a theoretical perspective, free cash flow toequity (FCFE) is probably preferable to cash flow.However, FCFE is more volatile than straight cash flow

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    Method of comparables vs. forecasted

    fundamental

    Method of Comparables:

    The method of comparables, values a stock based on the average price multiple ofthe stock of similar companies

    The economic rationale for the method of comparables is the Law of One Price,

    which asserts that two similar assets should sell at comparable price multiples(e.g., price-to-earnings)

    This is a relative valuation method, so we can only assert that a stock is over- orundervalued relative to benchmark value

    Method of forecasted fundamental:

    This method values a stock based on the ratio ofits value from a discounted cashflow (DCF) model to some fundamental variable (e.g., earnings per share)

    The economic rationale for the method of forecasted fundamentals is that thevalue used in the numerator of the justified price multiple is derived from a DCFmodel: value is equal to the present value of expected future cash flows

    discounted at the appropriate risk-adjusted rate of return

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    Benchmarking the multiples

    The method of comparables approach to valuationcompares a stocks price multiple to a benchmark ofthe multiple using the following steps:

    1. Select and calculate the multiple that will be used

    2. Select the benchmark and calculate the mean or medianof its multiple over the group of comparable stocks

    3. Compare the stocks multiple to the benchmark

    4. Examine whether any observed difference between the

    multiples of the stock and the benchmark are explainedby the underlying determinants of the multiple, andmake appropriate valuation adjustments

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    Overvalued, undervalued or fairly

    valued

    The basic idea of the method of comparables is tocompare a stocks price multiple to that of abenchmark portfolio

    Firms with multiples below the benchmark are

    undervalued, and firms with multiples above thebenchmark are overvalued

    However, the fundamentals of the stock shouldbe similar to the fundamentals of the benchmark

    before we can make direct comparisons and drawany conclusions about whether the stock isovervalued or undervalued

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    P/E-to-growth ratio (PEG)

    The relationship between earnings growth and P/E iscaptured by the P/E-to-growth (PEG) ratio:

    The PEG is interpreted as P/E per unit of expected growth

    Remember that the growth rate is one of the fundamentalfactors that affect P/E (P/E is directly related to the growthrate)

    The PEG ratio, in effect, standardizes the P/E ratio forstocks with different expected growth rates

    The implied valuation rule is that stocks with lower PEGsare more attractive than stocks with higher PEGs, assumingthat risk is similar

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    Drawbacks to using PEG ratio

    The relationship between P/E and g is not

    linear, which makes comparisons difficult

    The PEG ratio still doesnt account for risk

    The PEG ratio doesnt reflect the duration of

    the high-growth period for a multistage

    valuation model, especially if the analyst uses

    a short-term high-growth forecast

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    Use of price multiples in DCF

    A terminal value that is projected as of the end ofthe investment horizon should reflect theearnings growth that a firm can sustain over thelong run, beyond that point in time

    Analysts often use terminal price multiples likeP/E, P/B, P/S, and P/CF to estimate terminal value

    No matter which ratio is used, terminal value is

    calculated as the product of the price multiple(e.g., P/E ratio) and the fundamental variable(e.g., EPS) i.e. P/E X EPS

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    EV/EBITDA

    EBITDA is a flow to both equity and debt, it should be related to anumerator that measures total company value

    EV = market value of common stock + market value of preferredequity + market value of debt + minority interest cash andinvestments

    The rationale for subtracting cash and investments is that anacquirers net price paid for an acquisition target would be lowered

    by the amount of the targets liquid assets. Thus, EV /EBIT DAindicates the value of the overall company, not equity

    EBITDA = recurring earnings from continuing operations + interest +taxes + depreciation + amortization

    Or EBITDA = EBIT + depreciation + amortization

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    Advantages / Disadvantages of

    EV/EBITDA

    EV /EBITDA is useful in a number of situations:

    The ratio may be more useful than P/E when comparing firms withdifferent degrees of financial leverage

    EBITDA is useful for valuing capital-intensive businesses with high levels

    of depreciation and amortization EBITDA is usually positive even when EPS is not

    EV /EBITDA has a number of drawbacks as well:

    If working capital is growing, EBITDA will be overstated in comparison to

    actual cash flow to the firm. Further, the measure ignores how differentrevenue recognition policies affect Cash flows

    Because FCFF captures the amount of capital expenditures, it is morestrongly linked with valuation theory than EBITDA. EBITDA will be anadequate measure if capital expenses equal depreciation expenses

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    Multiples use for Stock Screening

    A stock screen is a method for selecting attractivelypriced stocks from the large universe of potentialequity investments For example, the objective might be to identify growth

    stocks, income stocks, or value stocks

    Valuation indicators, such as those we have described inthis topic review, can be used to identify a subset ofavailable stocks for further analysis

    Analysts often use multiple valuation, momentum, andfundamental criteria in a stock screen

    E.g., (P/E < 15; PEG > 1.5; Mcap > 1bn)

    An analyst can use back testing to examine whichstocks a screen would have identified in the past andhow they would have performed