Introduction to ValuationPresented by Alina Costica
October 26, 2007
Introduction to ValuationAgenda
Valuation OverviewWhat is Valuation?
Why Value a Company?
How Can You Value a Company?
Key Concept ReviewThree Financial Statements
Time Value of Money
DCF Overview Cost of Capital
Forecasting Cash Flows
Bringing It All Together
Valuation Overview
Valuation OverviewValuation is Highly Subjective
Valuation is both Art and Science
Perspective: Buyer
Seller
Make reasonable decisions based on:Limited information
Time constraints
Valuation Overview Why Value a Company?
" One hundred thousand lemmings cannot be wrong"Graffiti
Valuation Overview Why Value a Company?
IPO - Initial Public Offerings
SEO – Seasoned Equity Offerings
Debt Offerings
M&A – Mergers & AcqusitionsBuy and sell advice
Divestitures and restructurings
LBO – Leveraged Buy-Out
Defense analysis - vulnerable to hostile takeover?
Fairness opinions – is the price paid/received “Fair”?
Research
Investing
Valuation OverviewHow Can You Value a Company?
Valuation Public Comparables
Discounted Cash Flow
Acquisition Comparables
Merger Consequences
Leveraged Buyout
Other Techniques
Key Concept Review
Key Concept ReviewFinancial Statements
Balance Sheet
Assets– Cash
– Accounts Receivable
– Inventories
– PP&E
Liabilities & OE– Accounts Payable
– Notes Payable
– Long-Term Debt
Income StatementRevenues
- COGS
Gross Profit
- SG&A
Operating Income (EBIT)
- Interest
- Taxes
Net Income
Cash Flow StatementCash Flow from Operations
Cash Flow from Investing
Cash Flow from Financing
Key Concept ReviewNormalizing Financial Statements
Adjust for one-time itemsNot expected to be part of the normal cost of doing business in the future
Extraordinary items: “unusual in nature and infrequent in occurrence”
Common examples of non-recurring items: Restructuring charge
Gain/loss on sale of divisions
Legal settlements
Where to find non-recurring items: Separate line item on income statements
MD&A and footnote
Key Concept ReviewTime Value of Money
A dollar today is worth more than a dollar tomorrow
Formula:
PV = Present Value
FV = Future Value
r = Discount rate
n = Number of years you are discounting back
nrFVPV
)1( +=
DCF Overview
DCF OverviewWhat is a DCF?
“Intrinsic value” of the companyTheoretical vs. relative value
Flexible analysis
Changes in projections impact value– Growth rates
– Operating margins
Challenges: Forecasting
Subjective (assumptions)
Sensitive to changes
DCF results should be presented as a range of estimated values, not as a single estimate !
DCF OverviewWhat is a DCF?
DCF = Discounted Cash Flow
= Present value of all future cash flows
n= Life of the asset
CF = Future cash flow
r = Discount rate = WACC
g = Growth rate in perpetuity
∑=
= −+
++
=nt
tt
t
grgCF
rCFValue
1 )()1(
)1(
DCF OverviewWhat do I need to do a DCF?
Estimate discount rate: cost of capital
Forecast Free Cash Flows (FCFs)
Calculate the Present Values of FCFs
Estimate the Terminal Value
Derive an implied valuation range
Cost of CapitalWACC
Discount rate used to calculate PV of future cash flows
WACC = Weighted Average Cost of Capital
Formula:
We = Weight of Equity = E/(D+E)
E = Market Cap = Shares Outstanding * Share Price
Wd = Weight of Debt = D/(D+E)
Ke = Cost of Equity
Kd = Cost of Debt
t = taxes
)1( tKWKWWACCddee
−×+×=
Cost of CapitalCost of Equity
Formula:
Ke = Cost of Equity
Rf = Risk Free Rate
– Treasury bonds
β = Beta
– 5 year monthly regression of stock returns against S&P returns
Rp = Historical Equity Market Risk Premium
– Measures risk of an average investment
– 4-5.5%
– Learn more at: http://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html
pferrK ×+= β
Cost of CapitalCost of Debt
Formula:
Ke = Cost of Debt
Rf = Risk Free Rate
Spread
– Depends on company’s risk of default debt ratings
– Learn more at: http://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/ratings.htm
spreaddefaultrKfd+=
Cost of CapitalCalculating WACC
Exercise: Share Price: $20
Shares Outstanding: 5mm
Rf: 5%
β: 1.00
Rp: 5.00%
Market Value of Debt: 100mm
Spread: 3%
Effective Tax Rate: 50%
Cost of CapitalCalculating WACC
Answer: Market Cap = Shares Outstanding * Share Price = 20*5 = $100mm
We = 100/(100+100) = 50%
Wd = 100/(100+100) = 50%
Ke = Rf+β * Rp = 5% +1*5% = 10%
Kd = Rf + spread = 5% + 3% = 8%
WACC = We * Ke + Wd * Kd (1-t)
= 50% * 10% + 50% * 8% (1-.5)
= 5% + 2% = 7%
Forecasting Free Cash Flow
Calculate
FCFF = Ebit(1-t)
+ D&A
- CapEx
– Change in NWC
Forecast revenue
Calculate marginsAs % of Sales
– COGS
– SG&A
– EBIT
Create cases : Downside/Base/Upside
Forecasting Terminal Year
Rule of thumb:
Revenue growth rate cannot exceed growth of economy
Beta trends towards 1
CapEx = Depreciation
What % market share are you forecasting?
DCF OverviewBringing it all together
n= Life of the asset
CF = Future cash flow
r = Discount rate = WACC
g = Growth rate in perpetuity
∑=
= −+
++
=nt
tt
t
grgCF
rCFValue
1 )()1(
)1(
Additional Resources
Essential Public Information
10-K and/or annual report from latest fiscal year
10-Q from latest year
News announcementsSources: press release, Bloomberg, Reuters
Earnings announcement before filing with SEC
Research reportsRecent research reports from reputable Wall Street firms
Share price, and dividend
Essential Public InformationSources
Company Website
SEC Filings EDGAR
Research ReportsVirtual Business Library InvestextSternLinks
The Bible of Valuation: www.damodaran.com