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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