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Relative
Valuation
Valuing a company relative to another
company
In relative valuation, the value of an asset is
compared to the values assessed by the market for
similar or comparable assets.
To do relative valuation then,
 we need to identify comparable assets and obtain market values for these
assets
 convert these market values into standardized values, since the absolute
prices cannot be compared This process of standardizing creates price
multiples.
 compare the standardized value or multiple for the asset being analyzed
to 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
Relative valuation is much more likely to reflect
market perceptions and moods than discounted
cash flow valuation. This can be an advantage
when it is important that the price reflect these
perceptions as is the case when
 the objective is to sell a security at that price today (as in the case of
an IPO)
 investing on “momentum” based strategies
With relative valuation, there will always be a
significant proportion of securities that are under
valued and over valued.
Relative valuation generally requires less information
than discounted cash flow valuation
Identify Peer Group
• A peer group is a set of companies or assets which
are selected as being sufficiently comparable to
the company or assets being valued (usually by
virtue of being in the same industry or by having
similar characteristics in terms of earnings growth
and/or return on investment).
• Companies in the same sector/sub-sector with the
similar size tend to serve as good comparables
The following sources can be used to help identify suitable
comparable companies:
• The target's annual report, prospectus, and web site
• Analyst research reports
• BSEIndia.com
• MoneyControl- cites too many competitors, however
analysis with only a few is given
• Yahoo Finance
• Economic Times- lists all companies in the sector
• SifyFinance
• Recent news
• SIC code lookup(not valid for India)
• Sector reports published by credit rating agencies-S&P
tearsheet, Value Line, and Moody's company reports
• Proxy statements in which the target compares its stock
price performance with a that of peers
Locating The Necessary
Financials
Necessary financials include:
• Earnings per Share (EPS)
• Market Capitalization (Stock Price x Shares)
• Enterprise Value (Market Capitalization + Net Debt)
• Earnings before Interest, Taxes, Depreciation, and
Amortization (EBITDA)
• Total Revenue
• Company Websites - Almost every public company
has a website or investor relations department. For
the most current quarterly or annual report you
might want to check in these places first.
• Bseindia.com, nseindia.com
• Yahoo!Finance- Great resource for financial news,
and lays out ratios and performance data for
individual companies
• MoneyControl- Provides a great deal of information
on Indian companies
• Hoovers.com- Good for company analysis
Evaluating Multiples
The Four Steps to
Deconstructing Multiples
 Define the multiple
 In use, the same multiple can be defined in different ways by different
users. When comparing and using multiples, estimated by someone else, it
is critical that we understand how the multiples have been estimated
 Describe the multiple
 Too many people who use a multiple have no idea what its cross sectional
distribution is. If you do not know what the cross sectional distribution of a
multiple is, it is difficult to look at a number and pass judgment on whether
it is too high or low.
 Analyze the multiple
 It is critical that we understand the fundamentals that drive each multiple,
and the nature of the relationship between the multiple and each
variable.
 Apply the multiple
 Defining the comparable universe and controlling for differences is far
more difficult in practice than it is in theory.
P/E ratio
PE = Market Price per Share / Earnings per Share
Price: is usually the current price
is sometimes the average price for the year
EPS: EPS in most recent financial year
EPS in trailing 12 months
Forecasted earnings per share next year
Forecasted earnings per share in future year
To understand the fundamentals, start with a basic
equity discounted cash flow model.
 With the dividend discount model,
 Dividing both sides by the current earnings per share,
 If this had been a FCFE Model,
1. gn-The expected growth rate in earnings per share
2. r- The riskiness of the equity, which determines the cost of equity
P0=
DPS1
r-gn
P0
EPS0
= PE=
Payout Ratio*(1+gn )
r-gn
P0 =
FCFE1
r -gn
P0
EPS0
=PE=
(FCFE/Earnings)*(1+gn )
r-gn
For a High Growth Firm
The price-earnings ratio for a high growth firm can also
be related to fundamentals. In the special case of the
two-stage dividend discount model, this relationship
can be made explicit fairly simply:
 For a firm that does not pay what it can afford to in dividends, substitute
FCFE/Earnings for the payout ratio.
Dividing both sides by the earnings per share:
P0 =
EPS0*Payout Ratio*(1+g)* 1-
(1+g)n
(1+r)n
æ
è
ç
ö
ø
÷
r-g
+
EPS0*Payout Ration*(1+g)n
*(1+gn )
(r-gn )(1+r)n
P0
EPS0
=
Payout Ratio *(1+g)* 1-
(1+g)n
(1+ r)n
æ
è
ç ö
ø
÷
r -g
+
Payout Ration *(1+g)n
*(1+gn )
(r -gn)(1+ r)n
PEG Ratio
 PEG Ratio = PE ratio/ Expected Growth Rate in EPS
 For a 2-stage equity discounted cash flow model:
 Dividing both sides of the equation by the earnings gives
us the equation for the PE ratio. Dividing it again by the
expected growth g:
P0 =
EPS0*Payout Ratio*(1+g)* 1-
(1+g)n
(1+r)n
æ
è
ç
ö
ø
÷
r-g
+
EPS0*Payout Ration*(1+g)n
*(1+gn )
(r-gn )(1+r)n
PEG=
Payout Ratio*(1+g)* 1-
(1+g)n
(1+r)n
æ
è
ç
ö
ø
÷
g(r-g)
+
Payout Ration*(1+g)n
*(1+gn )
g(r-gn )(1+r)n
• The PEG ratio is a function of risk, payout and expected
growth. Thus, using the PEG ratio does not neutralize
growth as a factor.
• Proposition 1: High risk companies will trade at much lower
PEG ratios than low risk companies with the same expected
growth rate.
Corollary 1: The company that looks most under valued on a PEG ratio basis in a
sector may be the riskiest firm in the sector
• Proposition 2: Companies that can attain growth more
efficiently by investing less in better return projects will have
higher PEG ratios than companies that grow at the same rate
less efficiently.
Corollary 2: Companies that look cheap on a PEG ratio basis may be companies
with high reinvestment rates and poor project returns.
• Proposition 3: Companies with very low or very high growth
rates will tend to have higher PEG ratios than firms with
average growth rates. This bias is worse for low growth stocks.
Corollary 3: PEG ratios do not neutralize the growth effect.
Price to Book Value Ratio
• Going back to a simple dividend discount model,
• Defining the return on equity (ROE) = EPS0 / Book Value
of Equity, the value of equity can be written as:
• If the return on equity is based upon expected earnings
in the next time period, this can be simplified to,
P0 =
DPS1
r -gn
P0 =
BV0*ROE*Payout Ratio*(1+gn )
r-gn
P0
BV0
= PBV=
ROE*Payout Ratio*(1+gn )
r-gn
P0
BV0
= PBV=
ROE*Payout Ratio
r-gn
• This formulation can be simplified even further by
relating growth to the return on equity:
g = (1 - Payout ratio) * ROE
• Substituting back into the P/BV equation,
• The price-book value ratio of a stable firm is
determined by the differential between the return
on equity and the required rate of return on its
projects.
• A company that is expected to generate a ROE
higher its cost of equity should trade at a price to
book ratio one.
P0
BV0
= PBV=
ROE - gn
r-gn
EV to EBITDA
 The value of the operating assets of a firm can be written as:
 Now the value of the firm can be rewritten as
 Dividing both sides of the equation by EBITDA,
 The determinants of EV/EBITDA are:
 The cost of capital
 Expected growth rate
 Tax rate
 Reinvestment rate (or ROC)
EV0 =
FCFF1
WACC-g
EV/Sales Ratio
• If pre-tax operating margins are used, the appropriate value
estimate is that of the firm. In particular, if one makes the
replaces the FCFF with the expanded version:
Free Cash Flow to the Firm = EBIT (1 - tax rate) (1 - Reinvestment Rate)
• Then the Value of the Firm can be written as a function of the
after-tax operating margin= (EBIT (1-t)/Sales
g = Growth rate in after-tax operating income for the first n years
gn = Growth rate in after-tax operating income after n years forever (Stable
growth rate)
RIR Growth, Stable = Reinvestment rate in high growth and stable periods
WACC = Weighted average cost of capital
Value
Sales0
=After-tax Oper. Margin*
(1-RIRgrowth )(1+g)* 1-
(1+g)n
(1+WACC)n
æ
è
ç
ö
ø
÷
WACC-g
+
(1-RIRstable )(1+g)n
*(1+gn )
(WACC-gn )(1+WACC)n
é
ë
ê
ê
ê
ê
ù
û
ú
ú
ú
ú
Papers
• http://www.uhu.es/ijdar/10.4192/1577-8517-v4_4.pdf
• http://realequityresearch.dk/Documents/Z-
Score_Altman_1968.pdf

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Ratioanalysis

  • 1. Relative Valuation Valuing a company relative to another company
  • 2. In relative valuation, the value of an asset is compared to the values assessed by the market for similar or comparable assets. To do relative valuation then,  we need to identify comparable assets and obtain market values for these assets  convert these market values into standardized values, since the absolute prices cannot be compared This process of standardizing creates price multiples.  compare the standardized value or multiple for the asset being analyzed to 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
  • 3. Relative valuation is much more likely to reflect market perceptions and moods than discounted cash flow valuation. This can be an advantage when it is important that the price reflect these perceptions as is the case when  the objective is to sell a security at that price today (as in the case of an IPO)  investing on “momentum” based strategies With relative valuation, there will always be a significant proportion of securities that are under valued and over valued. Relative valuation generally requires less information than discounted cash flow valuation
  • 4. Identify Peer Group • A peer group is a set of companies or assets which are selected as being sufficiently comparable to the company or assets being valued (usually by virtue of being in the same industry or by having similar characteristics in terms of earnings growth and/or return on investment). • Companies in the same sector/sub-sector with the similar size tend to serve as good comparables
  • 5. The following sources can be used to help identify suitable comparable companies: • The target's annual report, prospectus, and web site • Analyst research reports • BSEIndia.com • MoneyControl- cites too many competitors, however analysis with only a few is given • Yahoo Finance • Economic Times- lists all companies in the sector • SifyFinance • Recent news • SIC code lookup(not valid for India) • Sector reports published by credit rating agencies-S&P tearsheet, Value Line, and Moody's company reports • Proxy statements in which the target compares its stock price performance with a that of peers
  • 6. Locating The Necessary Financials Necessary financials include: • Earnings per Share (EPS) • Market Capitalization (Stock Price x Shares) • Enterprise Value (Market Capitalization + Net Debt) • Earnings before Interest, Taxes, Depreciation, and Amortization (EBITDA) • Total Revenue
  • 7. • Company Websites - Almost every public company has a website or investor relations department. For the most current quarterly or annual report you might want to check in these places first. • Bseindia.com, nseindia.com • Yahoo!Finance- Great resource for financial news, and lays out ratios and performance data for individual companies • MoneyControl- Provides a great deal of information on Indian companies • Hoovers.com- Good for company analysis
  • 9. The Four Steps to Deconstructing Multiples  Define the multiple  In use, the same multiple can be defined in different ways by different users. When comparing and using multiples, estimated by someone else, it is critical that we understand how the multiples have been estimated  Describe the multiple  Too many people who use a multiple have no idea what its cross sectional distribution is. If you do not know what the cross sectional distribution of a multiple is, it is difficult to look at a number and pass judgment on whether it is too high or low.  Analyze the multiple  It is critical that we understand the fundamentals that drive each multiple, and the nature of the relationship between the multiple and each variable.  Apply the multiple  Defining the comparable universe and controlling for differences is far more difficult in practice than it is in theory.
  • 10. P/E ratio PE = Market Price per Share / Earnings per Share Price: is usually the current price is sometimes the average price for the year EPS: EPS in most recent financial year EPS in trailing 12 months Forecasted earnings per share next year Forecasted earnings per share in future year
  • 11. To understand the fundamentals, start with a basic equity discounted cash flow model.  With the dividend discount model,  Dividing both sides by the current earnings per share,  If this had been a FCFE Model, 1. gn-The expected growth rate in earnings per share 2. r- The riskiness of the equity, which determines the cost of equity P0= DPS1 r-gn P0 EPS0 = PE= Payout Ratio*(1+gn ) r-gn P0 = FCFE1 r -gn P0 EPS0 =PE= (FCFE/Earnings)*(1+gn ) r-gn
  • 12. For a High Growth Firm The price-earnings ratio for a high growth firm can also be related to fundamentals. In the special case of the two-stage dividend discount model, this relationship can be made explicit fairly simply:  For a firm that does not pay what it can afford to in dividends, substitute FCFE/Earnings for the payout ratio. Dividing both sides by the earnings per share: P0 = EPS0*Payout Ratio*(1+g)* 1- (1+g)n (1+r)n æ è ç ö ø ÷ r-g + EPS0*Payout Ration*(1+g)n *(1+gn ) (r-gn )(1+r)n P0 EPS0 = Payout Ratio *(1+g)* 1- (1+g)n (1+ r)n æ è ç ö ø ÷ r -g + Payout Ration *(1+g)n *(1+gn ) (r -gn)(1+ r)n
  • 13. PEG Ratio  PEG Ratio = PE ratio/ Expected Growth Rate in EPS  For a 2-stage equity discounted cash flow model:  Dividing both sides of the equation by the earnings gives us the equation for the PE ratio. Dividing it again by the expected growth g: P0 = EPS0*Payout Ratio*(1+g)* 1- (1+g)n (1+r)n æ è ç ö ø ÷ r-g + EPS0*Payout Ration*(1+g)n *(1+gn ) (r-gn )(1+r)n PEG= Payout Ratio*(1+g)* 1- (1+g)n (1+r)n æ è ç ö ø ÷ g(r-g) + Payout Ration*(1+g)n *(1+gn ) g(r-gn )(1+r)n
  • 14. • The PEG ratio is a function of risk, payout and expected growth. Thus, using the PEG ratio does not neutralize growth as a factor. • Proposition 1: High risk companies will trade at much lower PEG ratios than low risk companies with the same expected growth rate. Corollary 1: The company that looks most under valued on a PEG ratio basis in a sector may be the riskiest firm in the sector • Proposition 2: Companies that can attain growth more efficiently by investing less in better return projects will have higher PEG ratios than companies that grow at the same rate less efficiently. Corollary 2: Companies that look cheap on a PEG ratio basis may be companies with high reinvestment rates and poor project returns. • Proposition 3: Companies with very low or very high growth rates will tend to have higher PEG ratios than firms with average growth rates. This bias is worse for low growth stocks. Corollary 3: PEG ratios do not neutralize the growth effect.
  • 15. Price to Book Value Ratio • Going back to a simple dividend discount model, • Defining the return on equity (ROE) = EPS0 / Book Value of Equity, the value of equity can be written as: • If the return on equity is based upon expected earnings in the next time period, this can be simplified to, P0 = DPS1 r -gn P0 = BV0*ROE*Payout Ratio*(1+gn ) r-gn P0 BV0 = PBV= ROE*Payout Ratio*(1+gn ) r-gn P0 BV0 = PBV= ROE*Payout Ratio r-gn
  • 16. • This formulation can be simplified even further by relating growth to the return on equity: g = (1 - Payout ratio) * ROE • Substituting back into the P/BV equation, • The price-book value ratio of a stable firm is determined by the differential between the return on equity and the required rate of return on its projects. • A company that is expected to generate a ROE higher its cost of equity should trade at a price to book ratio one. P0 BV0 = PBV= ROE - gn r-gn
  • 17.
  • 18. EV to EBITDA  The value of the operating assets of a firm can be written as:  Now the value of the firm can be rewritten as  Dividing both sides of the equation by EBITDA,  The determinants of EV/EBITDA are:  The cost of capital  Expected growth rate  Tax rate  Reinvestment rate (or ROC) EV0 = FCFF1 WACC-g
  • 19. EV/Sales Ratio • If pre-tax operating margins are used, the appropriate value estimate is that of the firm. In particular, if one makes the replaces the FCFF with the expanded version: Free Cash Flow to the Firm = EBIT (1 - tax rate) (1 - Reinvestment Rate) • Then the Value of the Firm can be written as a function of the after-tax operating margin= (EBIT (1-t)/Sales g = Growth rate in after-tax operating income for the first n years gn = Growth rate in after-tax operating income after n years forever (Stable growth rate) RIR Growth, Stable = Reinvestment rate in high growth and stable periods WACC = Weighted average cost of capital Value Sales0 =After-tax Oper. Margin* (1-RIRgrowth )(1+g)* 1- (1+g)n (1+WACC)n æ è ç ö ø ÷ WACC-g + (1-RIRstable )(1+g)n *(1+gn ) (WACC-gn )(1+WACC)n é ë ê ê ê ê ù û ú ú ú ú

Notas do Editor

  1. CAPITALIQ.COM
  2. CapitalIQ,Factset
  3. gn is the growth rater is