Title: Valuation Analysis
1Valuation Analysis
Judson W. Russell, Ph.D., CFA University of North
Carolina-Charlotte
2Agenda
- Equity Valuation Fundamentals Intrinsic Value
- Enterprise Valuation Fundamentals Free Cash Flow
- Equity Valuation Fundamentals Relative Value
3Introduction
- Valuation is both art and science
- Art through reasonable, defensible
- Assumptions
- Judgment and interpretation of data
- Science through application of analytical
formulae - Valuation is based on future performance
4Introduction
- Two main valuation questions
- What is a company worth by valuation metrics?
- 2) What can or will a potential buyer pay?
5Introduction
- Three main valuation methodologies
- Intrinsic Value Approach A stocks price equals
the net present value of its dividends. - Relative Value Approach A stocks value is
determined by comparing similar stock values. - Acquisition Value Approach Calculate a companys
stock price by determining its worth to a third
party acquirer. - Golden Rule Footnote your assumptions
6Introduction
- EQUITY VALUE
- Value of shareholders interest
- After interest 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)
7Introduction
- ENTERPRISE VALUE
- Includes all forms of capital
- Market value of equity, debt, preferred stock,
minority interest - Before interest expense, preferred dividends and
minority interest expense - Multiples of sales, EBITDA, EBIT or any other
applicable metric (per subscriber, per bed, etc.) - Other common terms
- Aggregate Value, Firm Value, Total
Capitalization, Adjusted Market Value,
Transaction Value
8Introduction
Equity Market Cap.
Enterprise Value
Equity Market Cap.
Net Debt
Preferred Stock
Minority Interest
9Introduction
- COMPARABLE (or similar) in terms of
10Equity Valuation Process
- The Graham and Dodd Approach to Security
Selection - Study the available facts
- Prepare an organized report
- Project earnings and related data
- Draw valuation conclusions based on established
principles and sound logic - Make a decision
11Valuation Process
- The top-down approach starts with an analysis of
alternative economies and security markets. - The initial objective is to decide how to
allocate investment funds among countries and
within countries to bonds, stocks, and cash. - The second phase is the analysis of alternative
industries. The objective at this stage is to
determine which industries will prosper based on
your analysis of the economy. - The final, third, phase focuses on security
selection. The objective is to determine which
companies within the selected industries will
prosper and which stocks are undervalued.
Analysis of Alternative Economies and Security
Markets
Analysis of Alternative Industries
Analysis of Individual Companies and Stocks
12Valuation Process Example
- The top-down analysis for a U.S. homebuilder
- Economy GDP will increase 3
- Capital Markets Interest rates will remain
low - Industry Backlog of existing homes,
build new starts to grow - Homebuilding Company Homebuilder to gain
market share based on location - Target homebuilder sales will increase by 15
versus the industry average of 10. Steady
profit margins signify a 15 earnings increase.
13Economic Cycles
14Industry Analysis
- Forecast Sales
- An insightful analysis when predicting industry
sales is to view the industry 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
Rate of Sales Growth
D
C
E
B
A
Time
15Porters Five Forces
16Valuation Approach Intrinsic Value
17Valuation Approaches Intrinsic Value
- The value of an asset is the present value of its
expected returns. - The process of valuation requires estimates of
(1) the stream of expected returns and (2) the
required rate of return on the investment. - The value of a preferred stock (perpetuity) is
simply the stated annual dividend divided by the
required rate of return on preferred stock (kp). -
- A preferred stock with an 8 per year dividend
and required return of 9 is valued as - V 8 / 0.09 88.89
18Valuation Approaches Intrinsic Value
- The valuation of common stock is more difficult
than bonds or preferred stock because an investor
is uncertain about the size of the returns, the
time pattern of returns, and the required rate of
return (ke). - However, the value of common stock is still the
present value of its future cash flows. The only
cash flows an equity investor ever gets are
dividends (cash or liquidating). - A model to value common stock is the dividend
discount model (DDM).
19Valuation Approaches Intrinsic Value
- The DDM assumes that the value of a share of
common stock is the present value of all future
dividends as - V D1/(1ke)1 D2/(1ke)2 D?/(1ke)?
- Since estimating D? is impossible, other methods
have evolved based upon a terminal stock value,
or a constant rate of growth.
20Valuation Approaches Intrinsic Value
- Assume an investor wants to buy a stock, hold it
for one year, and then sell it. We must evaluate
the dividend cash flows as well as the terminal
value in one year. These cash flows are then
discounted at the investors required 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 and we
expect it to earn 2.75 per share during the
coming year. We expect the stock to trade at 22
at the end of the coming year. Further, the
risk-free rate 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/(1ke)1 Stock Value1/(1ke)1
- V 1.10/(1.11)1 22/(1.11)1
- V 0.99 19.82 20.81
21Valuation Approaches Intrinsic Value
- When valuing a firm with an infinite holding
period we assume that dividends, at some point,
exhibit a constant rate of growth. - Assume that a firm is in a state of constant
growth, we can value the infinite stream of cash
flows using the following abbreviated formula - V D1/(ke - g)
- For instance, in our previous example lets
assume that the holding period is infinite and
the firms dividends are growing at 6 per year
perpetually. The dividend in one year was 1.10
and the required rate of return was 11. - V 1.10/(.11- .06) 22.00
22Valuation Approaches Intrinsic Value
- We can employ the same technique for firms that
have varying rates 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 growth rate has to slow
or the firm will become the market! - We can accommodate this scenario with a
multistage model by discounting the rapid growth
phase dividends individually and then determining
the terminal value using the constant growth
methodology. - V D1/(1ke)1 D2/(1ke)2 (Dn1/(ke-g))
/(1ke)n
23Valuation Approaches Intrinsic Value
- Suppose that ABC Company has a current dividend
of 1.00 per share with growth expectations of
20 for each of the next two years. After that
point, the firm expects dividends to grow at 4
each year indefinitely. Given a cost of equity
of 11, calculate the value of the firms shares. - V D1/(1ke)1 D2/(1ke)2 V2/(1ke)2
- where V2 D3/(ke g)
- 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
24Exercise One
- Suppose that ABC Company has a current dividend
of 0.75 per share with growth expectations of
15 for each of the next three years. 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.
25Exercise One
- Suppose that ABC Company has a current dividend
of 0.75 per share with growth expectations of
15 for each of the next three years. 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. - D0 0.75, g1 15, g2 4, ke 12
26Valuation Approach Intrinsic Value
- DISCOUNTED CASH FLOW ANALYSIS
- Intrinsic value 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 beyond
the 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
27(No Transcript)
28Free Cash Flow Analysis
8
FCF1
FCF2
FCF3
FCF4
FCF5
FCFn
How do we account for the remaining cash flows of
the firm? Terminal Value Approach Constant
Growth Method
29Terminal Value Calculation
A. The Exit Multiple Method
30The Present Value of the Terminal Value
Discounted Cash Flow Analysis
1 2010 EBITDA (Terminal Value) 113.10
2 x Exit multiple 6.5x
3 Pretax Sales Proceeds (future value) 735.15
4 / discount factor (back 5 years at 12) 0.5674
5 Present value of terminal value 417.14
31Terminal Value as of Enterprise Value
Discounted Cash Flow Analysis
- Provides a reality check of the DCF value
- Higher the , more of the Enterprise Value is
being realized with the assumed sale of the
business at the end of the forecast period - Confidence level in the 70-85 range, depending
on the company and situation
32Terminal Value as of Enterprise Value
Discounted Cash Flow Analysis
- How much of the Enterprise Value for the Company
is being generated by the Terminal Value? - What is your comfort level with this percentage?
Present Value of Exit Multiple 417 Enterprise
Value 589.7 Percentage 417/589.7 70.7
33Terminal Value Calculation
B. The Perpetuity Growth Method
34 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 in 2011 would be 57.72. - We have a discount factor of 12 and a growth
factor of 4 with a cash flow of 57.72. -
35Perpetuity Growth Formula
Discounted Cash Flow Analysis
- Terminal Value FCFN1
- (ka - g)
- where
- FCFN1 steady-state free cash flow in period
N1 - 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/(1.125) 409.40
36Exercise 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
37Discounted Cash Flow Analysis
Answer Key
- Calculate
- WACC
- Weighed Average Cost of Capital Debt Ratio x
(Kd) x (1-tax rate) Equity Ratio x (Ke) - Kd Cost of Debt
- Ke Cost of Equity
- Cost of Equity Rf b(Rmh - Rfh)
- Rf Risk-free return
- b Beta of the security
- (Rmh - Rfh) Market risk premium
- Rmh Historical Market return
- Rfh Historical Risk-free return
- Ke 5.4 1.1(8.0) 14.2
- WACC 35 x (7.5) x (1- .4) 65 x ( 14.2)
- 1.58 9.23
- 10.81
38Analysis of Selected Publicly Traded Companies
Answer Key contd
- Calculate
- Present Value of the Free Cash Flows
Discount rate WACC 10.81
Total PV FCF 686.9
- Terminal Value based upon Perpetuity Growth Rate
- Perpetuity Growth Rate Terminal Value
FCFn1/(k-g) - FCFn1 Free cash flow projected one year after
year n - k discount rate (WACC)
- g annual nominal growth of FCF into perpetuity
- Perpetuity TV 290.0(1.033)/(10.81 - 3.3)
- 299.57/7.51
- 3989.0
39Analysis of Selected Publicly Traded Companies
Answer Key contd
- Calculate
- Terminal Value based upon Exit Multiple
- Exit Multiple Terminal Value Statisticn x
Multiple - Statisticn Operating statistic being used (i.e.
exit year EDITDA figure) - Multiple Relevant multiple from analysis of
selected acquisitions - Exit Multiple TV 500.0 x 8.0
- 4000.0
- Equity Value based upon Exit Multiple Terminal
Value
40Relative Value Analysis
41How do we use relative value?
- The hardest part of relative value is finding
comparable firms. - 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.
42Comparing PE Ratios across a Sector
43Relative Value
- Investors prefer to estimate the value of common
stock using an earnings 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)
44Relative Value
- Assume that a firm has an expected dividend
payout of 40, a required rate of return of 11,
and a growth rate of 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
and estimate of E1. - P0 P0/E1 x E1 8.0 x 2.75 22.00
45Relative Value
- The best known measure of relative value for
common stock is the P/E ratio or the earnings
multiplier. - Analysts have also turned their attention to
other measures of relative value - Price/book value (P/BV) market value of the
company divided by its book value. This metric
is used a great deal with financial stocks since
many of their assets are carried at values very
close to market value. This metric can be used
for firms with negative earnings or cash flows.
Several studies have indicated that P/BV is a
good indicator of future performance. - Price/cash flow (P/CF) market value of the
company divided by its cash flow. - Price/sales (P/S) market value of the company
divided by its sales.
46Expected Growth Rate
- When a firm retains earnings and acquires assets,
if it earns some positive rate of return on these
additional assets, the total earnings of the firm
will increase. - The rate of earnings growth depends on the
proportion of earnings retained and the rate of
return it earns on the new assets acquired. - Specifically, the growth rate (g) of equity
earnings without external financing 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 its earnings for
reinvestment in the firm or 2) increasing its ROE
(recall, ROE profit margin x total asset
turnover x financial leverage).
47Exercise 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 options outstanding with an average
exercise price of 4.50 - XYZ has total debt of 8,000 and cash of 350
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 settlement of 1,000 (600 after-tax) (a) Includes a one-time legal settlement of 1,000 (600 after-tax)
- Calculate
- XYZ Enterprise and Equity Value
- Multiples of Sales, EBITDA, EBIT and Net Income
48Analysis of Selected Publicly Traded Companies
Answer Key
- Calculate
- XYZ Enterprise and Equity Value
- Equity Value (Price per share x number of
shares outstanding) Value of options/warrants
Value of in the money convertible debt - Value of options (18/share current market
price - 4.50 average exercise price) x 100
options outstanding 1350 - (18/share x 1000 shares outstanding) 1350
value of options 19,350 - Enterprise Value Equity value debt
preferred stock minority interest -
cashequivalents - 19,350 8,000 debt - 350 cash 27,000
- Multiples of Sales, EBITDA, EBIT and Net Income
49Exercise 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 by Company A and minority interests of
25,000 to be acquired for cash
- Calculate
- Implied Exchange Ratio
- Premium Paid
- Enterprise and Equity Values of transaction
- Multiples of Revenues, EBITDA and Net Income
50Analysis of Selected Acquisitions
Answer Key
- Calculate
- Implied Exchange Ratio
- Each share of Company B stock is exchanged for
0.5714 shares of Company A stock (20/share
purchase price divided by 35/share Company A
stock) - Premium Paid
- 25 premium (4/share paid above Company Bs
closing stock price of 16) - Enterprise and Equity Values of transaction
- Equity Value (Amount paid for each share x
number of shares outstanding) Value of
options/warrants Value of in the money
convertible debt - Value of options (20/share paid by acquirer -
7.50 average exercise price) x 2,000 options
outstanding 25,000 - (20/share x 15,000 shares outstanding) 25,000
value of options 325k - Enterprise Value Equity purchase price debt
preferred stock minority interest -
cashequivalents - 325k 150k debt 25,000 minority interest
500k - Multiples of Revenues, EBITDA and Net Income