valuation materials
TRANSCRIPT
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Valuation Analysis
Judson W. Russell, Ph.D., CFA
University of North Carolina-Charlotte
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Agenda
Equity Valuation Fundamentals: Intrinsic Value
Enterprise Valuation Fundamentals: Free Cash Flow
Equity Valuation Fundamentals: Relative Value
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Introduction
Valuation is both artand science
Art through reasonable, defensible:Assumptions Judgment and interpretation of data
Science through application of analytical formulae
Valuation is based on future performance
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Introduction
Two main valuation questions:
1)What is a company worth by valuation metrics?
2) What can or will a potential buyer pay?
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Introduction
Three main valuation methodologies
Intrinsic Value Approach: A stocks price equals the netpresent value of its dividends.
Relative Value Approach: A stocks value is determinedby comparing similar stock values.
Acquisition Value Approach: Calculate a companysstock price by determining its worth to a third partyacquirer.
Golden Rule: Footnoteyour assumptions
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Introduction
EQUITY VALUE:
Value of shareholders interest Afterinterest expense, preferred dividends and
minority interest expense Multiples of net income, book value, EPS Other common terms:
Market Value, Market Capitalization,Offer Value (in an acquisition context)
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Introduction
ENTERPRISE VALUE:
Includes all forms of capital Market value of equity, debt, preferred stock,
minority interest Beforeinterest expense, preferred dividends andminority interest expense
Multiples of sales, EBITDA, EBIT or any otherapplicable metric (per subscriber, per bed, etc.)
Other common terms:Aggregate Value, Firm Value, Total Capitalization,Adjusted Market Value, Transaction Value
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Introduction
EnterpriseValue =Equity Market Cap.
Net Debt
Preferred Stock
Minority Interest
Equity Market Cap.
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Introduction
COMPARABLE (or similar) in terms of:
Operations Financial Aspects
Industry Size
Products Leverage
Markets Margins & Profitability
Distribution channels Growth prospects
Customers Shareholder baseSeasonality Market conditions (acquisitions)
Cyclicality Consideration paid (acquisitions)
Circumstances surrounding thetransaction
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Equity Valuation Process
The Graham and Dodd Approach to Security Selection
1. Study the available facts
2. Prepare an organized report
3. Project earnings and related data
4. Draw valuation conclusions based on established principlesand sound logic
5. Make a decision
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Valuation Process
The top-down approach starts withan analysis of alternative economiesand security markets.
The initial objective is to decide howto allocate investment funds among
countries and within countries tobonds, stocks, and cash.
The second phase is the analysis ofalternative industries. The objectiveat this stage is to determine whichindustries will prosper based on
your analysis of the economy. The final, third, phase focuses on
security selection. The objective isto determine which companieswithin the selected industries willprosper and which stocks are
undervalued.
Analysis of Alternative
Economies and Security
Markets
Analysis of Alternative
Industries
Analysis of
Individual
Companies
and Stocks
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Valuation Process Example The top-down analysis for a U.S. homebuilder:
Economy GDP will increase 3%
Capital Markets Interest rates will remainlow
Industry Backlog of existinghomes, build new starts togrow
Homebuilding Company Homebuilder to gainmarket share based on
location
Target homebuilder sales will increase by 15% versus theindustry average of 10%. Steady profit margins signify a 15%earnings increase.
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Economic Cycles
RECESSION:Consumer staples (food,drugs, cosmetics, tobacco),
utilities, software, andbiotechnology firms
RECOVERY: Early stage
Consumer Cyclicals (autos,apparel, media, retailers),
Consumer Credit (savings andloans), and Transportation(airlines, trucking, railroads)
EXPANSION: Late Stage
Basic Materials (chemicals,plastics, paper, wood,
metals), Capital Goods(equipment and machinerymanufacturers)
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Industry Analysis
Forecast Sales
An insightful analysis when predicting industry sales is to view theindustry over time and divide its development into stages.
Pioneering development - A
Rapid accelerating growth - B
Mature growth - C Stabilization and market maturity - D Deceleration of growth and decline - E
Time
Rate of
Sales
Growth
B
A
DC
E
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Porters Five Forces
INDUSTRY
COMPETITORS
POTENTIALENTRANTS
SUBSTITUTES
SUPPLIERS BUYERS
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Valuation Approach Intrinsic Value
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Valuation ApproachesIntrinsic Value
The value of an asset is the present value of its expected returns.
The process of valuation requires estimates of (1) the stream ofexpected returns and (2) the required rate of return on the
investment.
The value of a preferred stock (perpetuity) is simply the statedannual dividend divided by the required rate of return on preferredstock (kp).
A preferred stock with an $8 per year dividend and required return of9% is valued as:
V = $8 / 0.09 = $88.89
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The valuation of common stock is more difficult thanbonds or preferred stock because an investor isuncertain about the size of the returns, the time patternof returns, and the required rate of return (ke).
However, the value of common stock is still the presentvalue of its future cash flows. The only cash flows anequity investor ever gets are dividends (cash orliquidating).
A model to value common stock is the dividenddiscount model (DDM).
Valuation ApproachesIntrinsic Value
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The DDM assumes that the value of a share ofcommon stock is the present value of all futuredividends as;
V = [D1/(1+ke)1 + D2/(1+ke)
2+ + D/(1+ke)
]
Since estimating D
is impossible, other methods haveevolved based upon a terminal stock value, or aconstant rate of growth.
Valuation ApproachesIntrinsic Value
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Assume an investor wants to buy a stock, hold it for one year, and then sellit. We must evaluate the dividend cash flows as well as the terminal valuein one year. These cash flows are then discounted at the investorsrequired rate of return.
A company earned $2.50 a share last year and paid a $1 dividend (40%
dividend payout). The firm has a consistent record regarding payout andwe expect it to earn $2.75 per share during the coming year. We expect thestock to trade at $22 at the end of the coming year. Further, the risk-freerate is 5%, the market return is 10%, and the stocks beta is 1.2.
ke = rf + b(E(rm) rf ) = 5 + 1.2 (10-5) = 11%,
D1 = E1(dividend payout) = $2.75(.4) = $1.10
V = [D1/(1+ke)1 + Stock Value1/(1+ke)
1]
V = [$1.10/(1+.11)1 + $22/(1+.11)1]
V = 0.99 + 19.82 = $20.81
Valuation ApproachesIntrinsic Value
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When valuing a firm with an infinite holding period we assume thatdividends, at some point, exhibit a constant rate of growth.
Assume that a firm is in a state of constant growth, we can valuethe infinite stream of cash flows using the following abbreviatedformula:
V = D1/(ke - g)
For instance, in our previous example lets assume that the holdingperiod is infinite and the firms dividends are growing at 6% per year
perpetually. The dividend in one year was $1.10 and the requiredrate of return was 11%.
V = $1.10/(.11- .06) = $22.00
Valuation ApproachesIntrinsic Value
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We can employ the same technique for firms that have varyingrates of growth by assuming that the growth rate becomes constant,at some point.
For instance, suppose we have a firm experiencing rapid growth
due to its position in the product cycle. At some point the growthrate has to slow or the firm will become the market!
We can accommodate this scenario with a multistage model bydiscounting the rapid growth phase dividends individually and thendetermining the terminal value using the constant growthmethodology.
V = [D1/(1+ke)1 + D2/(1+ke)
2+ + (Dn+1/(ke-g)) /(1+ke)n]
Valuation ApproachesIntrinsic Value
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Suppose that ABC Company has a current dividend of $1.00 pershare with growth expectations of 20% for each of the next twoyears. After that point, the firm expects dividends to grow at 4%each year indefinitely. Given a cost of equity of 11%, calculate thevalue of the firms shares.
V = [D1/(1+ke)1 + D2/(1+ke)
2 + V2/(1+ke)2]
where V2= D3/(keg)
V = [$1.20/(1+.11)1 + $1.44/(1+.11)2 + ($1.50/(.11-.04)) /(1+.11)2]
V = $1.08 + $1.17 + $17.39 = $19.64
Valuation ApproachesIntrinsic Value
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Suppose that ABC Company has a current dividend of $0.75 pershare with growth expectations of 15% for each of the next threeyears. After that point, the firm expects dividends to grow at 4%each year indefinitely. Given a cost of equity of 12%, calculate
the value of the firms shares.
Exercise One
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Valuation ApproachIntrinsic Value
DISCOUNTED CASH FLOW ANALYSIS
Intrinsicvalue of the company Unlevered free cash flows
Independent of capital structure Free cash flows generated by the assets that are available to all
capital holders
Present value of:(1) free cash flows and(2) projected terminal value
Terminal value is used to estimate value beyondthe forecast period Exit Multiple Method (assumes the sale of the business) Perpetuity Growth Rate Method
(3) Discount rate = Weighted average cost of capital (WACC)
WACC = ka = wdkd(1-t) + weke
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Discounted Cash Flow Analysis
Using the DCF technique, BAC constructed a valuation for the Company by adding the present
value of the Company's projected after-tax cash flows to the present value of the Company's
terminal va lue.
Dollars in Millions
Projected FYE 12/31
2006 2007 2008 2009 2010
Sales 500.0 469.8 499.6 531.1 565.3
-Cash COGS and SG&A 400.0 375.8 399.7 424.9 452.2
589,680,386$ EBITDA 100.0 94.0 99.9 106.2 113.1
-Tax Basis Depreciation & Amortization 14.1 16.2 17.8 19.6 21.9
Operating Income 85.9 77.8 82.1 86.6 91.2
1 -Taxes 34.4 31.1 32.8 34.6 36.5 40.00%Net Operating Profit After Taxes 51.5 46.7 49.3 52.0 54.7
+Depreciation & Amortization 14.1 16.2 17.8 19.6 21.9
-Capex for P,P&E 17.2 17.3 17.3 17.3 17.3
-Working Capital Changes 2.2 2.1 3.5 3.4 3.8
Operating Cash Flow 46.2 43.5 46.3 50.9 55.5
Cost of Capital 12.0% 12.0% 12.0% 12.0% 12.0%
Present Value of Cash Flows 41.3 34.6 32.9 32.3 31.5
1.0$ 2.0$ 3.0$ 4.0$ 5.0$
Exit Multiple
Exit Mult iple Valuation Method 589.7 5.5x 6.5x 7.5xCumulative Present Value of Cash Flows 172.7 11.0% 546.2 613.3 680.4
Present Value of Exit Price 417.0 WACC 12.0% 525.5 589.7 653.8
Enterprise Value 589.7 13.0% 505.8 567.2 628.6
Exit Multiple: 6.5x Exit Var. 1.0x
WACC: 12.0% WACC Var. 1.0%
Notes:
(1) A 40% tax rate was assumed Large Cap Co.? Y
505847.76 680423.4
DCF analysis
implies the
Company's
Enterprise
Value is:
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FCF1 FCF2 FCF3 FCF4 FCF5
How do we account forthe remaining cash flows
of the firm?
Terminal Value Approach
Constant Growth Method
Free Cash Flow Analysis
FCFn
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Terminal Value Calculation
A. The Exit Multiple Method
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The Present Value of the Terminal ValueDiscounted Cash Flow Analysis
1 2010 EBITDA (Terminal Value) $113.10
2 x Exit multiple 6.5x
3= Pretax Sales Proceeds (futurevalue) $735.15
4
/ discount factor (back 5 years at
12%) 0.5674
5 Present value of terminal value $417.14
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Terminal Value as % of Enterprise Value
Provides a reality check of the DCF value
Higher the %, more of the Enterprise Value is beingrealized with the assumed sale of the business at theend of the forecast period
Confidence level in the 70-85% range, depending onthe company and situation
Discounted Cash Flow Analysis
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Terminal Value as % of Enterprise Value
How much of the Enterprise Value for the Company isbeing generated by the Terminal Value?
What is your comfort level with this percentage?
Discounted Cash Flow Analysis
Present Value of Exit Multiple = $417
Enterprise Value = $589.7
Percentage = $417/$589.7 = 70.7%
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Terminal Value Calculation
B. The Perpetuity Growth Method
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Discounted Cash Flow Analysis
Now well look at the perpetuity growth technique to
capture the terminal value of Company.
The terminal value captures all future cash flows of the
firm assuming a constant growth factor. The operating cash flow of the firm in 2010 is $55.5.
Assuming a growth rate of 4% the operating cash flow in2011 would be $57.72.
We have a discount factor of 12% and a growth factor of4% with a cash flow of $57.72.
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Perpetuity Growth Formula
Terminal Value = FCFN+1
(ka - g)
where:
FCFN+1
= steady-state free cash flow in period N+1
g = nominal perpetual growth rate
ka = discount rate
Terminal Value = $55.5(1.04)
=$57.72= $721.5.12-.04 0.08
Present Value of Perpetuity Growth Terminal Value =$721.5/(1.12^5) = $409.40
Discounted Cash Flow Analysis
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Exercise Two: Discounted Cash Flow Analysis
A Simple Example
Criteria:
Calculate: WACC Present Value of the Free Cash Flows Terminal Value based upon Perpetuity Growth Rate and Exit Multiple Equity Value based upon Exit Multiple Terminal Value
Perpetuity growth rate of 3.3% Cost of Debt of 7.5%
Terminal Exit Multiple of 8.0x Debt to Capital ratio of 35%
Industry average beta of 1.1 Total Debt of $1,190
20-year risk free rate of 5.4% Tax Rate of 40%
Market risk premium of 8.0%
XYZ Company Relevant Free Cash Flow ItemsProjection Year 1 Year 2 Year 3EBITDA $450.00 $475.00 $500.00Free Cash Flow $271.70 $280.70 $290.00
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Relative Value Analysis
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How do we use relative value?
The hardest part of relative value is finding comparablefirms.
Once you have a decent list of comparables you need to
determine which scaling variable to? Next, you want to compare your target firms multiple to the
average of the comparable set.
Finally, make sure that you account for differences, e.g.leverage, market position, patents, etc.
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Comparing PE Ratios across a Sector
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Investors prefer to estimate the value of common stock using anearnings multiplier model.
P0 = D1/(ke - g)
Divide both sides by next years projected earnings:
P0/E1 = (D1/E1)(1/(ke - g))
The P/E ratio (forward) is determined by:
The expected dividend payout ratio (D1/E1) The required rate of return on the stock (ke) The expected growth rate of dividends (g)
Relative Value
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Assume that a firm has an expected dividend payout of40%, a required rate of return of 11%, and a growth rateof dividends of 6%. Next years earnings (E1) are
expected to be $2.75.
P0/E1 = (.40)(1/(.11-.06)) = 8.0x
The value of the stock today is based on the P/E1 andestimate of E1.
P0 = P0/E1 x E1 = 8.0 x $2.75 = $22.00
Relative Value
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The best known measure of relative value for common stock is theP/E ratio or the earnings multiplier.
Analysts have also turned their attention to other measures ofrelative value:
Price/book value (P/BV) : market value of the company dividedby its book value. This metric is used a great deal with financialstocks since many of their assets are carried at values veryclose to market value. This metric can be used for firms withnegative earnings or cash flows. Several studies haveindicated that P/BV is a good indicator of future performance.
Price/cash flow (P/CF) : market value of the company dividedby its cash flow.
Price/sales (P/S) : market value of the company divided by itssales.
Relative Value
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Expected Growth Rate
When a firm retains earnings and acquires assets, if it earns some positiverate of return on these additional assets, the total earnings of the firm willincrease.
The rate of earnings growth depends on the proportion of earnings retainedand the rate of return it earns on the new assets acquired.
Specifically, the growth rate (g) of equity earnings without externalfinancing is equal to the percentage of net earnings retained (retention rate,b) times the rate of return on equity capital (ROE).
g = (retention rate)(return on equity)
g = (b)(ROE)
This growth rate is called the internal or sustainable growth rate.
The firm can increase its rate of growth by 1) retaining a larger portion of itsearnings for reinvestment in the firm or 2) increasing its ROE (recall, ROE= profit margin x total asset turnover x financial leverage).
Exercise 3 Analysis of Selected Publicly Traded Companies
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Exercise 3: Analysis of Selected Publicly Traded Companies
A Simple Example
Criteria: Company XYZ closing stock price is $18.00/share
XYZ has 1,000 shares outstanding, and 100 exercisable optionsoutstanding with an average exercise price of $4.50
XYZ has total debt of $8,000 and cash of $350
Calculate: XYZ Enterprise and Equity Value Multiples of Sales, EBITDA, EBIT and Net Income
XYZ Income Statement Items Stated
Sales $12,000
Cost of Goods Sold 8,000
Gross Profit 4,000
Sales, General, and Administrative (a) 2,000
Depreciation 1,000
Operating Income 1,000
Interest Expense 710
Pre-Tax Income 290
Taxes 116
Net Income $174
(a) Includes a one-time legal sett lement of $1,000 ($600 after-tax)
E ercise 4 Anal sis of Selected Acq isitions
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Exercise 4: Analysis of Selected Acquisitions
A Simple Example
Criteria: Company A has agreed to buy Company B for $20.00/share in stock Company A and Company Bs stock prices on the day before announcement were
$35.00 and $16.00 respectively Company B has 15,000 shares outstanding, 2,000 exercisable options outstanding
with an average exercise price of $7.50, $150,000 in net debt to be assumed byCompany A and minority interests of $25,000 to be acquired for cash
Company B Income Statement Items
LTM Revenue $625,000
LTM EBITDA 40,000
LTM Net Income 14,440
Calculate: Implied Exchange Ratio Premium Paid Enterprise and Equity Values of transaction Multiples of Revenues, EBITDA and Net Income