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    The McGraw-Hill Companies, Inc.,2001

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    Irwin/McGraw-HillIrwin/McGraw-Hill

    Chapter 5Fundamentals of Corporate Finance

    Third Edition

    Valuing Stocks

    Brealey Myers Marcus

    slides by Matthew Will

    Irwin/McGraw-Hill The McGraw-Hill Companies, Inc.,2001

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    Topics Covered

    Stocks and the Stock Market

    Book Values, Liquidation Values and

    Market Values

    Valuing Common Stocks

    Simplifying the Dividend Discount Model

    Growth Stocks and Income Stocks

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    Stocks & Stock Market

    Primary Market - Place where the sale of new stock

    first occurs.

    Initial Public Offering (IPO) - First offering of stock

    to the general public.Seasoned Issue - Sale of new shares by a firm that

    has already been through an IPO

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    Stocks & Stock Market

    Common Stock - Ownership shares in a

    publicly held corporation.

    Secondary Market - market in which already

    issued securities are traded by investors.

    Dividend - Periodic cash distribution from the

    firm to the shareholders.

    P/E Ratio - Price per share divided by

    earnings per share.

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    Stocks & Stock Market

    5777.6

    4481.7

    1989.5

    1414.1

    896.11067.7

    1308.6

    570.5

    222 305.2 143.2

    0

    1000

    2000

    3000

    4000

    5000

    6000

    1

    997

    Trading

    Valu

    e

    ($bil)

    NYSE

    Nasdaq

    London

    Paris

    Tokyo

    German

    Taiwan

    Zurich

    Osaka

    Toronto

    Amex

    Stock Market

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    Stocks & Stock Market

    Book Value - Net worth of the firm according

    to the balance sheet.

    Liquidation Value - Net proceeds that would

    be realized by selling the firms assets and

    paying off its creditors.

    Market Value Balance Sheet - Financial

    statement that uses market value of assets

    and liabilities.

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    Valuing Common Stocks

    Expected Return- The percentage yield that aninvestor forecasts from a specific investment over

    a set period of time. Sometimes called the holding

    period return (HPR).

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    Valuing Common Stocks

    Expected Return- The percentage yield that aninvestor forecasts from a specific investment over

    a set period of time. Sometimes called the holding

    period return (HPR).

    Expected Return

    rDiv P P

    P

    1 1 0

    0

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    Valuing Common Stocks

    The formula can be broken into two parts.

    Dividend Yield + Capital Appreciation

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    Valuing Common Stocks

    The formula can be broken into two parts.

    Dividend Yield + Capital Appreciation

    Expected Return

    rDiv

    P

    P P

    P1

    0

    1 0

    0

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    Valuing Common Stocks

    Dividend Discount Model - Computation of todays

    stock price which states that share value equals the

    present value of all expected future dividends.

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    Valuing Common Stocks

    Dividend Discount Model - Computation of todays

    stock price which states that share value equals the

    present value of all expected future dividends.

    H - Time horizon for your investment.

    PDiv

    r

    Div

    r

    Div P

    r

    H H

    H01

    1

    2

    21 1 1

    ( ) ( )...

    ( )

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    Valuing Common Stocks

    Example

    Current forecasts are for XYZ Company to pay

    dividends of $3, $3.24, and $3.50 over the next

    three years, respectively. At the end of three yearsyou anticipate selling your stock at a market price

    of $94.48. What is the price of the stock given a

    12% expected return?

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    Valuing Common Stocks

    Example

    Current forecasts are for XYZ Company to pay dividends of $3, $3.24,

    and $3.50 over the next three years, respectively. At the end of three

    years you anticipate selling your stock at a market price of $94.48.

    What is the price of the stock given a 12% expected return?

    PV

    PV

    3 00

    1 12

    3 24

    1 12

    350 94 48

    1 1200

    1 2 3

    .

    ( . )

    .

    ( . )

    . .

    ( . )$75.

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    Valuing Common Stocks

    If we forecast no growth, and plan to hold out

    stock indefinitely, we will then value the stock as

    a PERPETUITY.

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    Valuing Common Stocks

    If we forecast no growth, and plan to hold out

    stock indefinitely, we will then value the stock as

    a PERPETUITY.

    Perpetuity PDiv

    ror

    EPS

    r 0

    1 1

    Assumes all earnings are

    paid to shareholders.

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    Valuing Common Stocks

    Constant Growth DDM - A version of the dividend

    growth model in which dividends grow at a

    constant rate (Gordon Growth Model).

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    Valuing Common Stocks

    Constant Growth DDM - A version of the dividend

    growth model in which dividends grow at a

    constant rate (Gordon Growth Model).

    Given any combination of variables in theequation, you can solve for the unknown variable.

    PDiv

    r g0

    1

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    Valuing Common Stocks

    Example

    What is the value of a stock that expects to pay a

    $3.00 dividend next year, and then increase the

    dividend at a rate of 8% per year, indefinitely?Assume a 12% expected return.

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    Valuing Common Stocks

    Example

    What is the value of a stock that expects to pay a

    $3.00 dividend next year, and then increase the

    dividend at a rate of 8% per year, indefinitely?Assume a 12% expected return.

    P Divr g

    01 00

    12 0800

    $3.. .

    $75.

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    Valuing Common Stocks

    Example- continued

    If the same stock is selling for $100 in the stock

    market, what might the market be assuming about

    the growth in dividends?

    $100$3.

    ..

    00

    1209

    gg

    Answer

    The market isassuming the dividend

    will grow at 9% per

    year, indefinitely.

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    Valuing Common Stocks

    If a firm elects to pay a lower dividend, and

    reinvest the funds, the stock price may increase

    because future dividends may be higher.

    Payout Ratio - Fraction of earnings paid out as

    dividends

    Plowback Ratio - Fraction of earnings retained by

    the firm.

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    Valuing Common Stocks

    Growth can be derived from applying the

    return on equity to the percentage of

    earnings plowed back into operations.

    g = return on equity X plowback ratio

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    Valuing Common Stocks

    Example

    Our company forecasts to pay a $5.00

    dividend next year, which represents

    100% of its earnings. This willprovide investors with a 12% expected

    return. Instead, we decide to plow

    back 40% of the earnings at the firms

    current return on equity of 20%.What is the value of the stock before

    and after the plowback decision?

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    Valuing Common Stocks

    Example

    Our company forecasts to pay a $5.00 dividend next year, which

    represents 100% of its earnings. This will provide investors with a

    12% expected return. Instead, we decide to blow back 40% of the

    earnings at the firms current return on equity of 20%. What is the

    value of the stock before and after the plowback decision?

    P05

    12 67

    . $41.

    No Growth With Growth

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    Valuing Common Stocks

    Example

    Our company forecasts to pay a $5.00 dividend next year, which

    represents 100% of its earnings. This will provide investors with a

    12% expected return. Instead, we decide to blow back 40% of the

    earnings at the firms current return on equity of 20%. What is the

    value of the stock before and after the plowback decision?

    P05

    12 67

    . $41.

    No Growth With Growth

    g

    P

    . . .

    . .$75.

    20 40 083

    12 08000

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    Valuing Common Stocks

    Example - continued

    If the company did not plowback some earnings,

    the stock price would remain at $41.67. With the

    plowback, the price rose to $75.00.

    The difference between these two numbers (75.00-

    41.67=33.33) is called the Present Value of

    Growth Opportunities (PVGO).

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    Valuing Common Stocks

    Present Value of Growth Opportunities

    (PVGO) -Net present value of a firms

    future investments.

    Sustainable Growth Rate - Steady rate at

    which a firm can grow: plowback ratio X

    return on equity.

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    Web Resources

    www.ganesha.org/invest/index.html

    www.nasdaq.com

    www.nyse.com

    www.fool.com/School/HowtoValueStocks.htm

    www.zacks.com

    Investools.comwww.morningstar.net

    www.brill.com

    Click to access web sites

    Internet connection required

    http://www.ganesha.org/invest/index.htmlhttp://www.ibm.com/investor/FinancialGuidehttp://www.nasdaq.com/http://www.nyse.com/http://www.fool.com/School/HowtoValueStocks.htmhttp://www.zacks.com/http://investools.com/http://www.morningstar.net/http://www.financewise.com/http://www.brill.com/http://www.wageweb.com/http://www.wageweb.com/http://www.brill.com/http://www.financewise.com/http://www.morningstar.net/http://investools.com/http://www.zacks.com/http://www.fool.com/School/HowtoValueStocks.htmhttp://www.nyse.com/http://www.nasdaq.com/http://www.ibm.com/investor/FinancialGuidehttp://www.ganesha.org/invest/index.html