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    PowerPoint Presentationprepared by

    Traven ReedCanadore College

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-3

    Corporate Valuation andStock Risk

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-4

    Topics in Chapter

    Features ofcommon stock

    Determining common stock values

    Efficient markets

    Preferred stock

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-5

    Common Stock: Owners,Directors, and Managers

    Represents ownership.

    Ownership implies control.

    Stockholders elect directors.

    Directors hire management.

    Managers are agents ofshareholders, they always solicitshareholders proxies and usuallysucceed.

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    Control of the Firm

    Shareholders often have the right (i.e.preemptive right) to purchase any

    additional shares sold by the firm This preemptive right protects the control

    of the present shareholders and alsoprevents dilution of their value

    The preemptive right makes it moredifficult to raise equity capital from newlarge shareholders

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-6

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    CH8

    Types of Common Stock

    Not all common shares are createdequally

    Most firms have only one type ofcommon stock

    A system of dual-class shares is

    used to meet the special needs ofthe company

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-7

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-8

    Classified Stock

    Classified stockhas specialprovisions.

    Could classify existing stock asfounders shares, with voting rightsbut dividend restrictions.

    New shares might be called ClassA shares, with voting restrictionsbut full dividend rights.

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-9

    Stock Market Reporting

    In the past, tracking stock is through thebusiness section of a daily newspaper.

    Today, wecan get quotes all during t

    he dayfrom a wide variety of Internet sources (e.g.

    Globeinvestor.com).

    Comparing with once a day from thenewspaper prints, the 20-minute delay with

    the Internet information is nothing. The quote provides the price a buyer would

    have to pay (Ask) and the price someonecan sell the stock (Bid) for.

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-10

    Different Approaches forValuing Common Stock

    Most stocks expected total return =dividend yield + capital gains yield

    Intrinsic value of a stock is thepresent value of its expected futurecash flow stream

    Dividend growth model Free cash flow approach

    Using the multiples ofcomparable firms

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-11

    Stock Value = PV ofexpected future dividends

    What is a constant growth stock?

    One whose dividends are expectedto grow forever at a constant rate, g.

    P0 =^

    (1+rs)1 (1+rs)2 (1+rs)3 (1+rs)

    D1 D2 D3 D

    ++ ++

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-12

    For a constant growth stock:

    D1 = D0(1+g)1

    D2 = D0(1+g)2

    Dt = D0(1+g)t

    If g is constant and less than rs, then:

    P0 =^ D0(1+g)

    rs - g=

    D1rs - g

    Use decimals, not % in the calculation

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    CH8

    Dividend and Earnings

    Growth Growth in dividends occurs primarily as

    a result of growth in EPS.

    Earnings growth results from a numberof factors: (1) inflation, (2) reinvestedprofit, and (3) ROE.

    Firms cannot increase stock price by justraising the current dividend.

    There is a tradeoff between current

    dividends and future dividends.

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-13

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-14

    Intrinsic Stock Value vs.Quarterly Earnings

    If most of a stocks value is due to long-term cash flows, why do so many

    managers focus on quarterly earnings? Sometimes changes in quarterly

    earnings are a signal of future changesin cash flows. This would affect the

    current stock price.

    Sometimes managers have bonuses tiedto quarterly earnings.

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-15

    Dividend Growth and PV ofDividends: P

    0= (PVof D

    t)

    $

    0.25

    Years (t)

    Dt = D0(1 + g)t

    PV of Dt =Dt

    (1 + rS)t

    If g > rs , P0 = !

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-16

    What happens if g > rs?

    P0 =^

    (1+rs)1 (1+rs)2 (1+rs)

    D0(1+g)1 D0(1+g)

    2 D0(1+rs)

    + ++

    (1+g)t

    (1+rs)t

    If g > rIf g > rss, then, then P0 = ^

    > 1, and

    So g must be less than rs to use theconstant growth model.

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-17

    Projected Dividends

    D0 = $2 and constant g = 6% = 0.06

    D1 = D0(1+g) = 2(1.06) = $2.12

    D2 = D1(1+g) = 2.12(1.06) =$2.2472

    D3 = D2(1+g) = 2.2472(1.06) =$2.3820

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-18

    Expected Dividends and PVs(r

    s= 13%, D

    0= $2, g = 6%)

    0 1

    2.2472

    2

    2.3820

    3g=6%

    4

    1.8761

    1.75991.6508

    13 %

    2.12

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-19

    Intrinsic Stock Value:D

    0= $2.00, r

    s= 13%, g = 6%

    Constant growth model:

    = = $30.290.13 - 0.06

    $2.12 $2.12

    0.07

    P0 =^ D0(1+g)

    rs - g=

    D1rs - g

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-20

    Expected value one yearfrom now:

    D1 will have been paid, so expecteddividends are D2, D3, D4 and so on.

    P1 =^ D2

    rs - g=

    $2.2427

    0.07

    = $32.10 = $30.29(1+0.06)

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-21

    Expected Dividend Yield andCapital Gains Yield (Year 1)

    Dividend yield = = = 7.0%$2.12$30.29

    D1P0

    CG Yield = =P1 - P0^

    P0$32.10 - $30.29

    $30.29

    = 6.0%

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-22

    Total Year-1 Return

    Total return = Dividend yield +Capital gains yield.

    Total return = 7% + 6% = 13%

    Total return = 13% = rs For constant growth stock:

    Capital gains yield = 6% = g

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-23

    Expected Rate of Return on

    a Constant Growth

    Stock

    Then, rs = $2.12/$30.29 + 0.06= 0.07 + 0.06 = 13%

    ^

    P0

    =^ D1

    rs - gto

    D1

    P0

    rs

    ^

    =+ g

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-24

    If g = 0, the dividend streamis a perpetuity

    2.00 2.002.00

    0 1 2 3rs=13%

    P0 = = = $15.38PMT

    r

    $2.00

    0.13^

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-25

    Supernormal (Non-constant)Growth Stock

    Supernormal growth of 30% for 3years, and then long-run constant g

    = 6%.

    Can no longer use constant growthmodel.

    However, growth becomes constantafter 3 years.

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-26

    Nonconstant growth followedby constant growth (D

    0

    = $2):

    0

    2.3009

    2.6470

    3.0453

    46.1135

    1 2 3 4rs=13%

    54.1067 = P0

    g = 30% g = 30% g = 30% g = 6%2.60 3.38 4.394 4.6576

    ^ P3 =^ $4.6576

    0.13 0.06= $66.5371

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-27

    Dividend Growth Rates

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-28

    Suppose g = 0 for t = 1 to 3, andthen g is a constant 6%

    0

    1.7699

    1.56631.386120.9895

    1 2 3 4rs=13%

    25.7118

    g = 0% g = 0% g = 0% g = 6%

    2.00 2.00 2.00 2.12

    2.12P3

    0.0730.2857! !

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-29

    If g = -6%, would anyone buythe stock? If so, at what price?

    Firm still has earnings and still pays

    dividends, so P0 > 0:^

    = = = $9.89$2.00(0.94)

    0.13 - (-0.06)

    $1.88

    0.19

    P0 =^ D0(1+g)

    rs - g

    =D1

    rs

    - g

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    CH8

    Stock Valuation:

    FCF Approach

    Firm value is the present value ofits future expected free cash flows

    (FCF) discounted at the WACC.

    Since PV (FCF) is the present valueof a growing annuity, we have

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-30

    gWACC

    gFCFV

    !

    )1(

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-31

    Using Stock Price Multiplesto Estimate Stock Price

    Analysts often use the P/E multiple(the price per share divided by the

    earnings per share). Example:

    Estimate the average P/E ratio ofcomparable firms. This is the P/E

    multiple. Multiply this average P/E ratio by the

    expected earnings of the company toestimate its stock price.

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-32

    Using Entity Multiples

    The entity value (V) is: the market value of equity (# shares of stock

    multiplied by the price per share)

    plus the value of debt. Pick a measure, such as EBITDA, Sales,

    Customers, Eyeballs, etc. Calculate the average entity ratio for a

    sample ofcomparable firms. Forexample, V/EBITDA V/Customers

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-33

    Using Entity Multiples (contd)

    Find the entity value of the firm inquestion. For example, Multiply the firms sales by the V/Sales

    multiple. Multiply the firms # ofcustomers by the

    V/Customers ratio

    The result is the total value of the firm.

    Subtract the firms debt to get t

    he totalvalue of equity.

    Divide by the number of shares to getthe price per share.

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-34

    Problems with MarketMultiple Methods

    It is often hard to find comparable firms.

    The average ratio for the sample of

    comparable firms often has a widerange.

    For example, the average P/E ratio might be20, but the range could be from 10 to 50.

    How do you know whether your firm shouldbe compared to the low, average, orhighperformers?

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    Preferred Stock

    Hybrid security.

    Similar to bonds in that preferred

    stockholders receive a fixed dividendwhich must be paid before dividendscan be paid on common stock.

    However, unlike bonds, preferredstock dividends can be omittedwithout fear of pushing the firm intobankruptcy.

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-35

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    Preferred Stock Valuation

    Similar to the valuation of perpetualbonds

    A preferred stock pays a quarterlydividend of $1.25 ($5 per year) with

    a required return of10%. Its valueis

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-36

    PS

    PS

    PSr

    D

    V !

    50$1.0

    5$

    1.0

    )25.1($4!!!!

    PS

    PS

    PS

    r

    DV

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-37

    Expected return: given Vps = $50and annual dividend = $5

    Vps = $50 = $5

    rps^

    rps$5

    $50

    ^= = 0.10 = 10.0%

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-38

    Stock Price Volatility forchanges in rS and g

    Are volatile stock prices consistent withrationing pricing?

    Small changes in expected g and rscause large changes in stock prices.

    As new information arrives, investorscontinually update their estimates of g

    and rs. If stock prices are not volatile, then thismeans there is not a good flow ofinformation.

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-39

    Stock Market Equilibrium

    In equilibrium, stock prices arestable. There is no general

    tendency for people to buy versusto sell.

    The expected price, P, must equalthe actual price, P. In other words,the fundamental value must be thesame as the price.

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-40

    rs = D1/P0 + g = rs = rRF + (rM - rRF)b^

    In equilibrium, expected returnsmust equal required returns:

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-41

    If rs

    = + g > rs, then P

    0is too low.

    If the price is lower than the fundamentalvalue, then the stock is a bargain. Buy

    orders will exceed sell orders, the pricewill be bid up until:

    D1/P0 + g = rs = rs

    ^

    ^

    D1P0

    ^

    How is equilibriumestablished?

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-42

    Efficient Market Hypothesis

    Securities are normally in equilibriumand are fairly priced.

    Investors cannot beat the marketexcept through good luck or insideinformation.

    The prices of securities fully reflectavailable information. They will adjustimmediately to any new development.

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-43

    Weak-form EMH

    Investors buying bonds and stockscannot profit by looking at past

    trends. A recent decline is noreason to think stocks will go up (ordown) in the future. Evidence

    supports weak-form EMH, buttechnical analysis is still used.

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-44

    Semistrong-form EMH

    All publicly available information isreflected in stock prices, so it does

    not pay to pore over annual reportslooking for undervalued stocks.Largely true.

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    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8-45

    Strong-form EMH

    All information, even insideinformation, is embedded in stock

    prices. Not true--insiders can gainby trading on the basis of insiderinformation, but that is illegal!

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    CH8

    Copyright 2011 by Nelson Education Ltd. All rights reserved. 8 46

    Markets are generallyefficient because:

    100,000 or so trained analysts--MBAs, CFAs, and PhDs--work for

    firms like Fidelity, Merrill, Morgan,and Prudential.

    These analysts have similar access

    to data and megabucks to invest. Thus, news is reflected in P0 almost

    instantaneously.