Transcript Chapter 7

Valuing Stocks
Chapter 7
Fin 325, Section 04 – Spring 2010
Washington State University
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Common Stock
 Equity securities (stocks) represent ownership in a
corporation
 Common stockholders are residual claimants
 The market value of a firm’s common stock depends
on many factors including:




The company’s profitability (cash flows)
The company’s growth potential
Current market interest rates
Conditions in the overall stock market
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Stock Markets
 Stock exchanges provide liquidity: the
ability for owners of common stock to
convert their shares into cash at any time
 This liquidity, allowing buyers and
sellers the means to transact with each
other, gives people the confidence to buy
shares in the first place
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 New York Stock Exchange
NYSE Trading Floor Overview:
http://www.youtube.com/watch?v=Q7FdaiPQuDg
NYSE Trading Floor Tour:
http://www.youtube.com/watch?v=TPUDPhpCecA
 Largest U.S. stock exchange in terms of dollar
volume of trading
 Located in New York City at the corner of Wall and
Broad streets
 Home to nearly 2,700 listed firms
 Trading Posts


Specialists
Brokers
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http://finance.yahoo.com/q?s=MCD
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 To list its stock on the NYSE a company must
meet minimum requirements and pay listing
fees and annual fee to NYSE

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Total number of stockholders
Level of trading volume
Corporate earnings
Firm size
 What if a firm doesn’t meet these criteria, or
doesn’t want to pay the high NYSE fees?
 If they want to list on an organized exchange, they
could list on the exchange down the street: the
American Stock Exchange
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 The American Stock Exchange (AMEX)
 The nation’s second largest floor-based stock
exchange
 Also called the ‘curb’ exchange
 Uses a specialist system like the NYSE
 Also active in trading derivative securities and a
very popular security called an Exchange Traded
Fund (ETF)
 What if a firm doesn’t need or want to be
traded on an organized, floor-based
exchange?
 They can trade over-the-counter on NASDAQ
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 The Nasdaq Stock Market
 An electronic stock market without a physical
trading floor
 Home of thousands of the smallest publiclytraded firms, as well as many high-tech giants
 Microsoft, Apple, Intel, Google
 Nasdaq lists around 3,000 domestic and
foreign companies
 Second largest equity market in the world
behind the NYSE
 Uses a market maker system rather than a
specialist system
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Tracking the Stock Market
 How do we determine the overall direction
of the market?
 We use stock indices
 The three most-recognized indices are:
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The Dow Jones Industrial Average (DJIA)
The Standard & Poor’s 500 Index (S&P500)
The Nasdaq Composite Index
Check Yahoo Finance: http://finance.yahoo.com/
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 The Dow Jones Industrial Average (DJIA)
 Invented in 1896, consisting of 12 companies

The only surviving company from the original twelve is
General Electric
 Price-weighted index - computed by adding up
the stock prices and dividing by the number 12
 The DJIA now consists of 30 large firms,
representing 30 percent of the total U.S. stock
value
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Firms are occasionally added or deleted from the index
E.g. Altria Group and Honeywell were replaced by Chevron
and Bank of America on February 19, 2008
Dow 30 Components: http://money.cnn.com/data/dow30/
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 The S&P 500
 Was created in 1957
 Intended to represent 10 sectors of the economy
 Value-weighted index - uses market capitalization
to compute the index rather than stock prices
 Represents roughly 80 percent of the overall stock
market value
 Considered to be superior to the DJIA because of
the much wider coverage and the more useful way
it is calculated
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 The Nasdaq Composite Index
 Launched in 1971
 Like the S&P 500 index, it uses a market
capitalization weighted average
 Measures the market capitalization of all stocks
listed on the Nasdaq stock exchange
 Because of the dominance of the large high-tech
firms on Nasdaq, this index is considered a
measure of the performance of the technology
sector
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Trading Stocks
 Brokerage Accounts
 Full-service Stockbrokers (Merrill Lynch)
 Discount Brokerage (E-trade, Scottrade)
 Buy and sell orders go through the brokerage
firm to a market maker or specialist
 Bid/Ask spreads
 Bid price = price at which the dealer will buy
 Ask price = price at which the dealer will sell
 The bid/ask spread is the profit for the
market maker
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 Types of Orders
 Market order
Broker buys or sells at best price available at the
moment
 Limit order
 Order to buy or sell at a specific price
 Example: Suppose a share is currently selling for $75
 Buy limit is at a price less than the current market
price. Place a limit order to buy at $72
 Sell limit is at a price greater than the current
market price. Place a limit order to sell shares you
own at $79

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Basic Stock Valuation
 Consider a two-year horizon:
D1
0
1
D2 + P2
2
 The present value of the cash flows in years 1 and 2
is today’s stock value
D1 D2  P2
P0 

2
1  i (1  i)
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 In general, for any time horizon:
D1
D2
D n  Pn
P0 

 ... 
2
n
1  i (1  i)
(1  i)
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Dividend Discount Models
 We can extend the equation above for an
infinite stream of dividends and no future
selling price
 The stock’s value to the investor is the present
value of all future dividends
D3
D1
D2
P0 


 ...
2
3
1  i (1  i)
(1  i)
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 To use this model in practice, analysts make
a simplifying assumption to make the model
workable: constant perpetual growth
 This model is often called the Gordon growth model
D0 (1  g )
D1
Constantgrowth model P0 

ig
ig
 There are two important assumptions implicit in this
model: constant growth g and i>g

If I is less than g, then the stock price is negative which is
nonsense
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 Example: ACME stock recently paid a $4.00
dividend. The dividend is expected to grow
at 9% per year indefinitely. What would we
be willing to pay if our required return on
ACME stock is 14%?
P0 =
D1
i-g
=
4.36
= $87.20
.14 - .09
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Preferred Stock
Preferred stock is a hybrid security
 Like common stock it has no fixed maturity
 It is technically part of equity capital
 Like debt , preferred dividends are fixed
 Preferred dividends are cumulative
 If a company misses preferred stock dividends,
they must make them up before they can pay
dividends to common stockholders
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 Preferred stock is owned primarily by other
companies rather than individuals
 Corporations can exempt 70 percent of dividend
income from taxes
 Preferred stockholders do not have voting
rights
 Preferred stock pays a constant dividend
 It is a special case of the constant perpetual growth
model in which g=0
 The formula collapses into the formula for the
present value of a perpetuity
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 Coca-Cola’s dividend is $1.36 per share at a time
when the market price of its stock is $63.50. What
would the value of Coke’s stock be if the dividends
were not expected to grow (i.e. g=0)? The
company’s cost of capital is 11.5%.
P0 = 1.36/.115 = $11.83
 The difference between $63.50 and $11.83 represents
the market value of the firm’s expected growth
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Expected Return
 We can rearrange the constant growth formula to
solve for i, the expected return on the stock
ExpectedReturn  i 
D1
 g  Dividend yield  Capitalgain
P0
 Expected return comes from two sources
 Dividend yield
 Expected appreciation of the stock price, or capital
gain
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Additional Valuation Methods
 Variable Growth Techniques
 For high-growth firms, we can’t use the constant
growth formula because we know that the firm can’t
sustain the high growth forever
 These firms may have two different growth rates

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Growth during the supernormal growth period
Steady growth after the firm matures
 We can use a multistage growth formula for these
firms, but we can also use discounted cash flows in
combination with the constant growth model
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 Example:
Suppose a firm just paid a dividend of $5 per
share. We expect the firm to grow at a rate of
10% for three years, after which it will grow at
4% forever. The required return is 9%.
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
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D1 = 5(1+.10) = 5.50
D2 = 5.50(1.10) = 6.05
D3 = 6.05(1.10) = 6.655
D4 = 6.655(1.04) = 6.92
 Now we can calculate the present value of all
of the dividends in periods 4 to ∞, where the growth is
constant forever
P3 = D4/(i-g)
= 6.92/(.09-.04)
= 138.42
Now we have all the cash flows, and we can find P0
P0 = 5.50/1.091 + 6.05/1.092 + (6.655 + 138.42)/1.093
= $122.17
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The P/E Model
 The models we have used so far involve
computing a stock’s intrinsic value using
discounted cash flows to the investor
 Another approach is to assess a stock’s
relative value
 The price-earnings (P/E) ratio represents the
most common valuation yardstick in the
investment industry
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 The P/E ratio is simply the current price of the
stock divided by the last four quarters of
earnings per share:
Current stock price
P/E 
Per share earningsfor last 12 months
 The P/E ratio is used as an indication of
expected growth of a company
 Larger growth rates lead to larger P/E ratios
 High P/E stocks are called growth stocks, whereas low
P/E stocks are called value stocks
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 Estimating Future Stock Prices
 Multiplying the P/E ratio by expected
earnings results in an expected stock price
n
P
Pn  (
) x E0 x (1  g )
E
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 Example: The P/E ratio for Caterpillar is
12.98. The company earned $5.05 per share
and paid a $1.10 dividend last year. Analysts
estimate that the company will grow at an
average annual rate of 12.8% over the next 5
years. Calculate the expected price of
Caterpillar’s stock price in 5 years.
P5 = (P/E) x E0 x (1 + g)5
= 12.98 x $5.05 x (1.128)5
= $119.70
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