2. 2
Table of Contents
I. Valuation Overview
II. Comparable Public Companies
III. Precedent Transactions
IV. Discounted Cash Flow (DCF) Analysis
V. Conclusions
3. 3
How Do We Value Companies?
The valuation methodologies we will learn are largely practiced by all
types of investors, but there are some differences in practice
Types of investors are: strategic buyers (M&A), active buyers (LBO,
venture capital), and passive buyers (mutual funds, hedge funds)
Which of the following buyers would be willing to pay the highest
price for shares of a company?.....
A mutual fund seeking to acquire a 1% position
A competitor of that company seeking to buy the whole company, after
identifying significant synergies such as cross-selling into its customer
base and utilizing the target’s manufacturing facilities which have only
50% capacity utilization
An LBO firm seeking to buy the whole company by taking out a bank loan
for 70% of the purchase price, assume an active role in management,
achieve better operational efficiency, then sell it in five years
4. 4
How Do We Value Companies?
There is the “public market valuation” which is the market cap. But is
it a fair valuation? Competent investors perform their own valuation
calculation. Has the valuation been hyped or beaten down too much?
A major variable in public valuations is the expected growth rate in
the future, and the crowd can be wrong.
Both publicly traded and private companies are valued by the same
methodologies, unless the investment is a strategic one. In that case,
synergies are included in the valuation.
There are three methodologies for valuing companies:
“Comparable public companies” (comparing all peers’ valuations as
multiples to financial results, such as the PE multiple, viewed in the
context of growth and operating efficiency)
“Precedent transactions” (for M&A- at which multiples were peers
acquired in the past? Should our client get a similar price to the last
deal?)
“Discounted cash flow” (DCF)
5. 5
How Do We Value Companies?
To value companies, we need to start with the following data:
Historical income statement (at least the last 5 years)
Historical balance sheet (at least the last 5 years)
Historical cash flow statement (at least the last 5 years)
How many years of data needed depends on how much things are
different today, or may be in the future, versus the past. If a cyclical
company, we want enough years to capture two up-cycles and down-
cycles. We also want financial results during the last recession and
boom.
We then make projections for each financial statement….based on
historical data and trends if there are any, and on what we expect
about the company’s and sector’s future. Do not assume the past is
entirely a guide to the future. Judgment is a big part of making
projections.
6. 6
Total Enterprise Value (TEV)
“Total enterprise value” accounts for debt and cash in the valuation.
Think of a real estate example…..
Home value = total enterprise value
Your equity = market cap
Your mortgage = debt
If you buy a home for $500K and take out a mortgage for $400K, your
equity is $100K
TEV = MVE + debt + preferred stock + minority
interest – cash
Institutional investors will sometimes simply use “EV” of market cap +
debt – cash, but the more accurate calculation is TEV. Many
companies don’t have preferred stock or much minority interest,
which is why many use the shorthand calculation.
7. 7
Total Enterprise Value (TEV)
Why is minority interest added to the calculation?
Minority interest is when a company owns more than 50% but
less than 100% of another company. FASB requires that you
consolidate the financials at and above the operating income
line, and include an offsetting “minority interest” line below
operating income representing the portion of financial results
you owe to whoever owns the other 1% - 49%.
The TEV/Revenue valuation multiple is what’s called an
“unlevered multiple”. The P/E is a “levered multiple” because
the “E” includes interest expense.
Since the minority interest revenue is consolidated in revenue
but not 100% owned, we add the minority interest to TEV for
the TEV/Revenue valuation multiple.
8. 8
Total Enterprise Value (TEV)
Why is cash subtracted from TEV?
If you had the chance to buy either of these two companies,
assuming all else were equal, same market cap, same EBITDA,
same profit margins, same growth rate, which would you buy?
Company A has $100 million in cash, no debt
Company B has $20 million in cash, no debt
Company A’s TEV will be lower, hence a lower TEV/EBITDA
valuation multiple. You pay the same for the equity of each
(same market cap), but you get more for your money with
company A because you get its cash.
9. 9
Table of Contents
I. Valuation Overview
II. Comparable Public Companies
III. Precedent Transactions
IV. Discounted Cash Flow (DCF) Analysis
V. Conclusions
10. 10
Comparable Public Companies
You can value a company based on how similar companies
(“comps”) trade in the public markets
The first step is to identify the “comp” universe (size depends
on relevance)
The goal is to find companies of similar…
Industries, Business Models, Profitability, Size, Growth, Geography
(International vs. Domestic)
Sources for finding comps include…..
Equity research reports, “Competitors” section from 10-K, SIC
codes, Internet, senior bankers
11. 11
Multiples Analysis
Multiples analysis is a form of “relative valuation”, we
compare many companies to each other based on valuation
multiples.
The most commonly used multiples are
TEV / EBITDA (a very important one)
TEV / Revenue
TEV / Unlevered Free Cash Flow
Market cap / Free Cash Flow
(Free Cash Flow = operating cash flow minus capital expenditures)
Stock Price per Share / Earnings per Share (the PE)
Any multiple based on TEV is called an operating multiple
(unlevered)
12. 12
Operating Multiples
Why is TEV multiple an operating multiple, and unlevered?
The TEV includes the leverage, yes, but the denominators do
not. They exclude interest expense (such as EBITDA). We do
not want to double count the debt factor.
When comparing many companies’ valuations, we use the TEV
not just to account for debt, but to give credit for the cash a
company has.
All denominators for TEV multiples are operating income and
higher on the income statement. Never use a TEV to net
income ratio, it double counts the debt because net income
includes interest expense.
13. 13
Operating Multiples
What if our client is a private company, how can we determine
its valuation based on multiples?
What if we know the following….
Revenue = $19 billion
EBITDA = $2 billion
Its peer group has a median “TEV / Revenue” of 0.74x and
median “TEV / EBITDA” of 10.3x
The “implied” TEV for our privately held client would be what?
14. 14
Equity Multiples
Unlike operating multiples (TEV), equity multiples are a
function of MVE (market cap). PE is the same as market cap /
net income.
Equity multiples use denominators that include interest
expense. Never use a simple Market Cap/EBITDA or Market
Cap/Revenue multiple
What are the flaws with PE ratios? What falls below the
operating income line that can make comparisons between
companies flawed?
15. 15
“Spreading Comps”
The term “spreading” comps comes from “spreadsheet”. It means
filling out financial data for all comparable companies to compare
ratios to each other.
Use the same time frame for each company. Include a “last twelve
months” column.
Remember that different companies have different fiscal year ends.
Line them up as closely as possible calendar-wise.
Add a line to normalize results, stripping out non-recurring items and
discontinued operations.
Include projections, which you may make yourself, or use estimates
from equity or credit research analysts. Many will start with other
analysts’ estimates, and then tweak them.
Remember that past performance is not always a guide to future
performance.
16. 16
“Spreading Comps”
Emphasize the TEV multiples in the comp sheet, and use fair
market value (“FMV”) for each component…..
MVE = market cap (“market value of equity”)
FMV of preferred = public market price
FMV of debt = use the balance sheet value, unless distressed use
market value
FMV of minority interest = use the balance sheet value
FMV of cash = use the balance sheet value
17. 17
“Spreading Comps”
Calculating Fully-Diluted Shares
Basic vs. Diluted Shares Outstanding
– Dilution is built into the stock price
– If dilutive securities are “in-the-money”, market assumes that they’re
already converted to common stock
– A convertible security or option is “in-the-money” if the current share
price is greater than the strike price
Dilutive Securities include….
– Employee Options (not traded on market), Warrants, Convertible
Preferred or Debt (do not double-count if already converted)
Market Cap and TEV should always be calculated using diluted
shares
– Using basic shares will undercut the valuation, sometimes significantly
– In certain industries where options are a large part of employee
compensation, the amount of dilutive shares can be sizeable
18. 18
“Spreading Comps”
Diluted shares as disclosed in company filings is by the
“Treasury Stock Method”. You will need to know how to
calculate this yourself, because when a company is acquired,
unvested stock options may become vested. Those unvested
options were not included in FD shares in prior filings.
Weighted-average diluted shares
Weighted for average balance over a time frame
Includes in-the-money warrants, options, convertibles
These are also called “common stock equivalents” (CSEs)
Used in the calculation of diluted EPS
May not equal the very latest amount of dilutive securities
19. 19
“Spreading Comps”
The Treasury Stock Method
Let’s say there are options for 50,000 shares and avg exercise price
of $50. When exercised, company receives cash of $2.5 mil.
Company then uses the $2.5 mil to buy as many shares on open
market to deliver. If stock price is $125, it can buy 20,000 shares.
It then has to come up with another 30,000 shares to meet obligation
of 50,000 shares. It issues those 30,000 shares, maybe out of treasury
stock.
The dilution is then 30,000 shares (not 50,000 shares)
20. 20
“Spreading Comps”
The Excel formula for the Treasury Stock Method is…..
= Exercisable options outstanding x
(stock price – exercise price) / stock price
Exercisable options are found in the options table in the notes
section of the 10-K. Hit CTRL-F and use “exercise” or “option”
as the search word, hit enter until you find it.
Exercisable options are only those that are vested.
21. 21
“Spreading Comps”
The Treasury Stock Method does not include in-the-money
convertible preferred or convertible debt. This must be calculated
separately, and should be included in diluted shares as well.
These are CSEs (common stock equivalents) too. When converting
them to equity equivalents for the diluted calculation, the diluted
EPS calculation must also exclude the interest or dividends paid on
those convertibles.
Convertibles have “conversion features” that set how many shares
each bond converts to. These are found in the indentures, sometimes
in the 10K.
If a $1,000 convertible bond converts to 100 shares, you will want to
convert only when the stock price is at least $10 plus the interest
income. 100 shares * $10 = $1,000. So if the stock price is at $12, it’s “in-
the-money”.
23. 23
Selecting Multiples and Ranges
Selecting multiples for implied valuation
Eliminate outliers
Average (mean) vs. median
Total versus stripped averages
Upper and lower quartiles
Risk Rankings
Emphasis towards companies with closer business models, size,
growth and profitability, etc.
Identifying meaningful implied valuation ranges
Not too narrow, not too broad
Be consistent
Public vs. private value
Liquidity discount
Research coverage
24. 24
Table of Contents
I. Valuation Overview
II. Comparable Public Companies
III. Precedent Transactions
IV. Discounted Cash Flow (DCF) Analysis
V. Conclusions
25. 25
Precedent Transactions
Another method of “relative valuation” is by precedent
transactions (M&A)
This is especially used in M&A, whereby an argument is made that
the client should fetch a price similar to recent buyouts of
comparable companies.
This is also a multiples based valuation
The amount a company is bought for in excess of its stock
price per share is called the “control premium”
Typical premiums are 20%-25%, but can be much higher or
lower depending on synergies and the strategic fit
26. 26
Precedent Transactions
Data sources for past M&A transactions:
SDC or other M&A databases
SEC filings
Equity research reports
Press releases (company or third-party)
Industry news
Typical information you will find:
Target and acquirer descriptions
Announce date vs. transaction date
– The price at which a transaction closes at can sometimes be
materially different from the original price offered at announce date
– The spread can be due to change in target or acquirer stock price, or
transaction-related adjustments
– Considerations should be independent of unforeseen price fluctuations
and transaction-specific costs
27. 27
Precedent Transactions
Additional typical information one should keep records of and
use:
Transaction rationale
– What were the motives? Was it to expand the product line, cross-
selling, cost synergies? Were there mostly financial considerations
such as the company being under-valued, poorly run, not capitalized
properly?
Implied TEV and MVE, implied valuation multiples, premiums paid
over avg. stock price 1, 5, 30 days prior to announcement date
The deal structure
– Were there earn-out provisions whereby a portion of the consideration
is withheld until operational milestones are met?
– Was a portion of the consideration placed in escrow contingent on all
disclosures being correctly made?
28. 28
Precedent Transactions
And lastly, one of the most important stats…..
The total consideration paid
100% cash?
100% stock?
Combination of cash and stock?
What if Shareholders of target get $12.65/share cash, AND
1.45 shares of the acquirer, how much is the acquiring
company paying?
We would also need to know how many shares outstanding are
there of the target, and stock price of the acquirer
If target has 24 mil shares outstanding, and the stock price of the
acquirer is $6.55/share..........
what is total consideration paid?
29. 29
Precedent Transactions
Solution for total consideration paid:
$12.65/share in cash * 24 mil shares = $304 million cash
1.45 shares * 24 mil shares = shareholders of target get 34.8
mil shares of acquirer.
What’s that worth in dollars? 34.8 * $6.55/share = $228 mil
worth of acquirer’s stock
$304 million cash + $228 million stock = $532 million “total
consideration”
30. 30
Precedent Transactions
What if we already know the consideration paid (usually the case)
and we want to calculate the exchange ratio? Assume we know
the following……
$48/share offer price
Mix of cash/stock is 20% cash, 80% stock
Target’s shares outstanding are 381.7 million
Acquirer’s stock price $26.67
What is the exchange ratio?
31. 31
Precedent Transactions
Calculate the per share amount of the $48 dollar offer price…
Target’s shareholders get 20% * $48 = $9.60/share in cash, therefore
$48.00 - $9.60 = $38.40/share in stock of the acquirer
Convert that per share cash and stock to dollar values…$9.60/share *
381.7 (target’s shares outstanding) = $3,664 cash, $38.40/share *
381.7 = $14,657 in the acquirer’s stock
Now…how many shares of stock does the acquirer have to offer the
target?
$14,657 in acquirer’s stock / $26.67 (acquirer’s share price) = 549.6
shares of the acquirer’s stock to the target’s shareholders
Finally, what’s the exchange ratio based on that? 549.6 acquirer
shares / 381.7 target shares = 1.44x exchange ratio.
The acquirer has to offer 1.44 share of its own stock for every 1 share
of the target’s shares outstanding
32. 32
Table of Contents
I. Valuation Overview
II. Comparable Public Companies
III. Precedent Transactions
IV. Discounted Cash Flow (DCF) Analysis
V. Conclusions
33. 33
Discounted Cash Flow Overview
The DCF calculation represents a company’s “intrinsic” value
Takes all cash flows projected into the future (infinitely) and
discounts them back to present dollars
Forecasting Free
Cash Flows
•Identify
components of
FCF
•Keep in mind
historical figures
•Project
financials using
assumptions
•Decide # of years
to forecast
Estimate Cost of
Capital
•Perform a WACC
analysis
•Develop target
capital
structure
•Estimate cost of
equity
Estimating
Terminal Value
• Determine
whether to use
“EBITDA
multiple” or
“Gordon
Growth” method
• Discount it back
to present value
Calculating
Results
•Bring all cash
flows to present
value
•Perform
sensitivity
analysis
•Interpret
results
34. 34
Pros and Cons of Discounted Cash Flow
DCF is more flexible than other valuation methodologies.
However, it is very sensitive to the estimated cash flows,
discount rate and terminal value
PROS
•Objective framework for
assessing cash flows and
risk
•Not dependent upon
publicly available
information
CONS
•Very sensitive to cash
flows
•Unbalanced valuation
weight to terminal value
•Cost of capital depends
on beta and market risk
premium
35. 35
Discounted Cash Flow (DCF) Analysis
Free cash flow (FCF) is used in DCF valuations.
More scientific method of valuing future operating results because
of differences in GAAP and cash flow.
A large capex expense next year will produce a much different
present value than its 10-year straight line depreciation expense
over 10 years.
There is levered and unlevered FCF……
“Unlevered FCF” = EBIT + D&A – taxes – increase (or + decrease)
in working capital – capital expenditures
“Levered FCF” = Net income + D&A – increase (or + decrease) in
working capital – capital expenditures
“Levered FCF” is otherwise simply: operating cash flow – capex
Only difference is that unlevered FCF excludes interest expense.
It is independent of the capital structure.
36. 36
Discounted Cash Flow (DCF) Analysis
A DCF can use free cash flow projections anywhere from 5
years to 10 years in the future. An early stage company
(venture capital) may even use 12 years.
When making projections, remember that recessions do occur,
and while we do not know when in the future, one must make
assumptions that conditions will not always be good.
When making projections, one must bear in mind that cycles
do occur, and to capture at least one up-cycle and down-cycle,
if the company is a cyclical. How long are the cycles?
Aerospace has long cycles, Semiconductor short cycles.
37. 37
Terminal Value
DCF first discounts to the present value each year of annual
projections. A dollar in 10 years should be worth more than today
because you can invest it, therefore a dollar in 10 years would be
worth less in present day dollars.
The largest component of the DCF valuation is the “terminal value”
Companies are valued “in perpetuity”. The terminal value gives the
company credit for likely still being in business beyond, say, year 10
of a 10-year cash flow projection.
The terminal value uses one of the following methodologies to
calculate the “perpetuity” portion of the DCF….
Gordon Growth method
Terminal Multiple method
38. 38
Terminal Multiple v. Gordon Growth
The “terminal multiple” method’s terminal value = an assumed
TEV/EBITDA multiple at the final year of the projections, and
then discounts that back to present dollar values.
The “Gordon Growth” method’s terminal value = final year’s
FCF multiplied by (1+G), then divided by (R – G), then discount
that to the present by taking that result and divide by (1 + R) ^
year
Whereby…..
R = discount rate (same as cost of capital)
G = Projected long-term growth rate
^ = to the power of (exponent)
Year = how many years in the future is the final year’s FCF
projection times (1+G), which is one year past the final year of
the annual projections.
39. 39
Cost of Capital
Each year’s FCF projection and the terminal value will be
discounted back to present day by (1 + R) ^ year
R = discount rate = cost of capital (all are synonyms)
It is also called “cost of capital” because it is both a measure
of risk, and takes into account where else we could we invest
given the level of risk.
If you invest in something as riskless as a 3-month US Treasury,
your discount rate used = the interest rate of the 3-month T-
Bill.
If you invest in a biotech as risky as something where you stand
to lose all your money, you may use a discount rate as high as
35%.
Venture capital uses very high discount rates
40. 40
Cost of Capital
The discount rate is comprised of two types of capital:
Cost of equity
Cost of debt
Cost of preferred stock, if any
Because most companies have some debt, the discount rate is called
the “weighted average cost of capital” because one needs to weight
each component according to its proportion in the capital structure.
The formula to weight the components is:
WACC = (cost of equity * (mkt cap / (mkt cap + debt)))
+ (cost of debt * (debt / (mkt. cap + debt)) * (1 – tax rate)))
Now, how do we calculation the cost of equity and cost of debt? ……..
41. 41
Cost of Equity
The cost of equity is typically calculated by a formula called “the
capital asset pricing model” (CAPM, pronounced “cap – m”)
Cost of Equity = risk free rate + beta * (avg. stock mkt. return – risk free
rate)
Risk free rate is the US treasury of a duration similar to how long you
plan to invest, how liquid is the investment. If passive investing in a
public stock that you can sell anytime, use 3-month T-Bill. If an LBO
firm planned to buy and sell a company in 5 years, they may use the
5-year US Treasury.
The Average stock market return is debatable because a lot has
changed in recent years. Investors used to use a 12% S&P return over
the last 40 years. One may use judgment in selecting this rate.
And what is the beta? ………
42. 42
Cost of Equity – the “Beta”
(stock mkt. return – risk free rate) is otherwise known as the “risk
premium”.
The “risk premium” is multiplied by a “beta”
“Beta” is the measure of risk and the largest variable in the
calculation. It is obtained from a data service like Bloomberg or
Ibbotson, and technically it is a calculation of how much a stock has
gyrated with the overall stock market.
A beta of 1.2x means the stock, over some period of time, 2 years, 5
years, has gone up $1.20 for every $1.00 rise in the market, and
fallen by $1.20 when the market goes down $1.00.
High beta = high risk (but potentially, high reward as well)
Use your judgment, think. A beta from data over the last 5 years may
not be appropriate if a lot has changed with the company recently. Or
maybe it has become less risky.
43. 43
Cost of Equity – Levering & Unlevering Betas
Levering and un-levering betas…..
The betas you obtain from Bloomberg are “levered betas”. This
means they include the entire capital structure.
If a client is a private company, or if it will recapitalize, you need to
un-lever the beta, and then re-lever it for the company’s own capital
structure. If private company, you would take median levered beta of
peers which may have radically different debt/equity proportions, un-
lever it, then re-lever it.
Formula to un-lever a beta:
“Unlevered beta” = levered beta / (1 + D / E) * (1 – tax rate)
Formula to re-lever a beta:
“Levered Beta” = un-levered beta * (1 + D / E) * (1 – tax rate)
44. 44
Cost of Debt
Cost of debt is the after tax weighted average interest rate a
company pays for its debt. If weighted average is 9%, cost of
debt is 9% * (1- tax rate).
It is lower than the cost of equity because it carries less risk, it
is more senior in the capital structure and more likely to
recoup its money if the company liquidates.
Cost of debt rarely will be higher than cost of equity because
lenders will simply not lend more if it gets too risky, if the
company has already taken on a lot of debt.
To weight the overall interest rate, break out all debt
tranches, and weight according to how much each is as a
percent of total debt. Then multiply each tranche’s interest
rate by that weighting percentage. Add them up.
45. 45
Cost of Debt
Calculate the average (weighted) of the coupon rates of each
tranche of debt, and multiply that by the tax shield (1 - tax
rate)
First sum all debt. Then multiple each tranche’s amount by
sum of all debt. Then multiply each weight by each respective
coupon rate. Then sum all weighted coupon rates. That’s the
cost of debt.
$500M of 8.25% senior notes due 2010
$250M of 9.00% senior notes due 2012
$300M of 12.5% senior subordinated notes due 2012
Tax rate of 40%
Cost of debt = 9.64% x (1-.40) = 5.79%
47. 47
Table of Contents
I. Valuation Overview
II. Comparable Public Companies
III. Precedent Transactions
IV. Discounted Cash Flow (DCF) Analysis
V. Conclusions
48. 48
Pros and Cons of 3 Valuation Methods
Pros Cons
Comparable
Public Companies
Highly efficient
market
Easy to find
information (public
access)
Size discrepancy
Liquidity difference
Hard to find “good”
comps in niche market
Precedent
Transactions
For M&A, arguably,
the most accurate
method
Poor disclosure on
private and small
deals
Hard to find “good”
comps in niche or
slow M&A market
Discounted
Cash Flow (DCF)
Represents intrinsic
value
Can make own
projections
Highly sensitive to
discount rate and
terminal multiple
“Hockey Stick”
tendencies –
projection risk