Different approaches for valuing common stock Dividend growth model Corporate value model Using the multiples of comparable firms... Dividend growth model Value of a stock is the
Trang 1CHAPTER 8
Stocks and Their Valuation
Features of common stock
Determining common stock values
Efficient markets
Preferred stock
Trang 2Facts about common stock
Represents ownership
Ownership implies control
Stockholders elect directors
Directors elect management
Management’s goal: Maximize the
Trang 3Social/Ethical Question
Should management be equally concerned about employees, customers, suppliers,
and “the public,” or just the stockholders?
In an enterprise economy, management
should work for stockholders subject to
constraints (environmental, fair hiring,
etc.) and competition
Trang 4Types of stock market
Trang 5Different approaches for
valuing common stock
Dividend growth model
Corporate value model
Using the multiples of comparable
firms
Trang 6Dividend growth model
Value of a stock is the present value of the future dividends expected to be generated by the stock
+ +
+ +
=
) k (1
D
) k (1
D )
k (1
D )
k (1
D P
s
3 s
3 2
s
2 1
s
1 0
^
Trang 7Constant growth stock
A stock whose dividends are expected to
grow forever at a constant rate, g
Trang 8Future dividends and their
present values
t 0
t D ( 1 g )
t
t t
)k1
(
DPVD
+
=
$
0.25
Trang 9What happens if g > ks?
If g > ks, the constant growth formula leads to a negative stock price, which does not make sense.
The constant growth model can only be used if:
ks > g
g is expected to be constant forever
Trang 10If kRF = 7%, kM = 12%, and β = 1.2,
what is the required rate of return on
the firm’s stock?
Use the SML to calculate the required rate of return (ks):
ks = kRF + (kM – kRF)β
= 7% + (12% - 7%)1.2
Trang 11If D0 = $2 and g is a constant 6%,
find the expected dividend stream for
the next 3 years, and their PVs.
2.12
Trang 12What is the stock’s market value?
Using the constant growth model:
$30.29
0.07
$2.12
0.06-
0.13
$2.12g
k
-DP
s 0
=
=
=
= 1
Trang 13What is the expected market price
of the stock, one year from now?
D1 will have been paid out already So,
P1 is the present value (as of year 1) of
D2, D3, D4, etc
Could also find expected P1 as:
$32.10
0.06-
0.13
$2.247g
k
-DP
s
2
^ 1
=
=
=
Trang 14What is the expected dividend yield,
capital gains yield, and total return
during the first year?
Trang 15What would the expected price today be, if g = 0?
The dividend stream would be a
P^0 = = =
Trang 16Supernormal growth:
What if g = 30% for 3 years before
achieving long-run growth of 6%?
Can no longer use just the constant growth model to find stock value
However, the growth does become
constant after 3 years
Trang 17Valuing common stock with
Trang 18Find expected dividend and capital gains yields during the first and fourth years.
Dividend yield (first year)
Trang 20Find expected dividend and capital gains yields during the first and fourth years.
Dividend yield (first year)
= $2.00 / $25.72 = 7.78%
Capital gains yield (first year)
= 13.00% - 7.78% = 5.22%
After t = 3, the stock has constant
growth and dividend yield = 7%,
Trang 21If the stock was expected to have
negative growth (g = -6%), would anyone buy the stock, and what is its value?
The firm still has earnings and pays
dividends, even though they may be
declining, they still have value
$9.89 0.19
$1.88 (-0.06)
0.13
-(0.94)
$2.00
g - k
) g 1
(
D g
k
-D P
s
0 s
Trang 22Find expected annual dividend and capital gains yields.
Capital gains yield
= g = -6.00%
Dividend yield
= 13.00% - (-6.00%) = 19.00%
Since the stock is experiencing constant
growth, dividend yield and capital gains
Trang 23Corporate value model
Also called the free cash flow method Suggests the value of the entire firm equals the present value of the firm’s free cash flows.
Remember, free cash flow is the firm’s after-tax operating income less the net capital investment
Trang 24Applying the corporate value model
Find the market value (MV) of the firm
Find PV of firm’s future FCFs
Subtract MV of firm’s debt and preferred stock to get MV of common stock
MV of = MV of – MV of debt and
common stock firm preferred
Divide MV of common stock by the number of
shares outstanding to get intrinsic stock price
Trang 25Issues regarding the
corporate value model
Often preferred to the dividend growth
model, especially when considering number
of firms that don’t pay dividends or when
dividends are hard to forecast
Similar to dividend growth model, assumes at some point free cash flow will grow at a
constant rate
Terminal value (TVn) represents value of firm
Trang 26Given the long-run gFCF = 6%, and
WACC of 10%, use the corporate value model to find the firm’s intrinsic value.
Trang 27If the firm has $40 million in debt and
has 10 million shares of stock, what is
the firm’s intrinsic value per share?
MV of equity = MV of firm – MV of debt
Trang 28Firm multiples method
Analysts often use the following multiples
to value stocks
P / E
P / CF
P / Sales
EXAMPLE: Based on comparable firms,
estimate the appropriate P/E Multiply this
Trang 29What is market equilibrium?
In equilibrium, stock prices are stable and there is no general tendency for people to buy versus to sell
In equilibrium, expected returns must equal required returns
β
− +
=
= +
Trang 30Market equilibrium
Expected returns are obtained by
estimating dividends and expected
capital gains.
Required returns are obtained by
estimating risk and applying the CAPM.
Trang 31How is market equilibrium
Trang 32Factors that affect stock price
Required return (ks) could change
Changing inflation could cause kRF to
change
Market risk premium or exposure to
market risk (β) could change
Growth rate (g) could change
Trang 33What is the Efficient Market
Hypothesis (EMH)?
Securities are normally in equilibrium and are “fairly priced.”
Investors cannot “beat the market”
except through good luck or better
information.
Levels of market efficiency
Weak-form efficiency
Semistrong-form efficiency
Trang 34Weak-form efficiency
Can’t profit by looking at past trends
A recent decline is no reason to think stocks will go up (or down) in the
future
Evidence supports weak-form EMH,
but “technical analysis” is still used.
Trang 35Semistrong-form efficiency
All publicly available information is
reflected in stock prices, so it doesn’t pay to over analyze annual reports
looking for undervalued stocks
Largely true, but superior analysts
can still profit by finding and using
new information
Trang 36Strong-form efficiency
All information, even inside
information, is embedded in stock
prices
Not true insiders can gain by
trading on the basis of insider
information, but that’s illegal.
Trang 37Is the stock market efficient?
Empirical studies have been conducted to test the three forms of efficiency Most of which suggest the stock market was:
Highly efficient in the weak form.
Reasonably efficient in the semistrong form.
Not efficient in the strong form Insiders could and did make abnormal (and sometimes
illegal) profits.
Behavioral finance – incorporates elements
of cognitive psychology to better
Trang 38Preferred stock
Hybrid security
Like bonds, preferred stockholders
receive a fixed dividend that must be paid before dividends are paid to
common stockholders
However, companies can omit
Trang 39If preferred stock with an annual
dividend of $5 sells for $50, what is the preferred stock’s expected return?
Vp = D / kp
$50 = $5 / kp
kp = $5 / $50
= 0.10 = 10%