Financial
Management                  Chapter 10
 Theory and
  Practice
    Tenth Edition
                      Stocks and their Valuation
 Eugene F. Brigham
Michael C. Ehrhardt
                            Instructor: Sanam Taimoor
                        Institute of Business Management
Topics
• Advantages and disadvantages of common stock
  as a source of fund and investment
• Rights and privileges of common stock holders
• Types of common stock
• Common Stock valuation
• Characteristics of preferred stock
• Evaluation of preferred stock as an investment
  and a source of funds
• Understand preferred stock valuation process
Stock Financing: Corporations
• Advantages:
  – Dividends are not fixed and are not legal
    obligations
  – Permanent capital equity does not have to be
    repaid
• Disadvantages:
  – Most expensive form of capital
  – Dividends are paid out of after-tax earnings
  – Underwriting fees greater than those of debt
  – Dilutes ownership and control
Stock Financing: Investors
• Advantages:
  – Potentially highest return investment for a given
    firm
  – Taxes can be deferred on price appreciation (due
    only when the stock is sold)
  – Investors have input regarding company operation
Stock Financing: Investor
• Disadvantages:
  – Highest risk investment for a given firm
  – Dividend payments are not fixed and legal
    obligations
  – Lowest priority of claims in case of bankruptcy
  – The firm has no obligation to repurchase stock
Characteristics and Legal Rights
        of Common Stockholders
•   Represents ownership.
•   Ownership implies control.
•   Stockholders elect directors.
•   Directors elect management.
•   Management’s goal: Maximize stock price.
Privileges of Common Stockholders
• Preemptive Right: A provision in the corporate
  charter or bylaws that gives common
  stockholders the right to purchase on a pro
  rata basis new issues of common stock (or
  convertible securities).
Types of stock market transactions
• Secondary Markets: the market in which
  “used” stocks are traded after they have been
  issued by corporations
• Primary Markets: the market in which firms
  issue new securities to raise corporate capital
  – A firm “goes public” through an IPO when the
    stock is first offered to the public.
Common Stock Valuation
• Valuation Process
  – Estimate future cash flows (amt./timing).
  – Assess the riskiness of future cash flows.
  – Incorporate risk level into the discount rate (adjust
    the discount rate).
  – Find the present value of future cash flows.
Common Stock Valuation
• The value of a share of common stock is equal
  to the PV of all future cash flows that it is
  expected to provide over the number of years
• What cash flows will a shareholder receive
  when owning shares of common stock?
  – Future dividends
Dividend Valuation Model
• Basic dividend valuation model accounts for
  the PV of all future dividends
           Div1         Div 2                        Div
     V            1               2
                                      .......... .
          1 ke         1 ke                          1 ke

                      Div t
      V                       t
           t 1    1     ke

    Divt = Cash Dividend at time t
    Ke   = Investor’s required rate of return
Dividend Growth Pattern Assumptions
• The dividend valuation model requires the
  forecast of all future dividends. The following
  dividend growth rate assumptions simplify the
  valuation process
  – Constant Growth
  – No Growth
  – Growth Phases
Constant Growth Model
• The constant growth model assumes that
  dividends will grow forever at the rate g
                     Do 1 g
               V
                      ke g
                         D1
               V
                      ke      g
         D1:   Dividend paid at time 1.
         g:    The constant growth rate.
         ke:   Investor’s required return.
Constant Growth Model
• Stock CG has an expected growth rate of 8%.
  Each share of stock just received an annual
  $3.24 dividend per share. The appropriate
  discount rate is 15%. What is the value of the
  common stock?
      D1 = $3.24 ( 1 + 0.08 ) = $3.50
      VCG = D1 / ( ke - g )
           = $3.50 / ( 0.15 - 0.08 )
           = $50
Zero Growth Model
• The zero growth model assumes that
  dividends will grow forever at the rate g = 0.

                           D1
               VZG
                           ke

      D1:   Dividend paid at time 1.
      ke:   Investor’s required return.
Zero Growth Model
• Stock ZG has an expected growth rate of 0%.
  Each share of stock just received an annual $3.24
  dividend per share. The appropriate discount
  rate is 15%. What is the value of the common
  stock?

  D1 = $3.24 ( 1 + 0 ) = $3.24
  VZG = D1 / ( ke - 0 ) = $3.24 / ( .15 - 0 )
      = $21.60
Growth Phases Model
• The growth phases model assumes that
  dividends for each share will grow at two or
  more different growth rates

          n                 t
                Do 1 g1                 Dn   1   / ks       g2
   VGP                  t                               t
          t 1    1 ke           t n 1        1 ke
Growth Phases Model
• Stock GP has an expected growth rate of 16%
  for the first 3 years and 8% thereafter. Each
  share of stock just received an annual $3.24
  dividend per share. The appropriate discount
  rate is 15%. What is the value of the common
  stock under this scenario?
Growth Phases Model

  0           1         2         3           4          5         6

              D1         D2       D3          D4          D5       D6

      Growth of 16% for 3 years        Growth of 8% to infinity!


Stock GP has two phases of growth. The first, 16%, starts at time
 t=0 for 3 years and is followed by 8% thereafter starting at time
 t=3. We should view the time line as two separate time lines in
                            the valuation.
Growth Phases Model
• Steps to calculate VGP, we take following steps
  – Find the annual dividends
  – Find the PV of the dividends during the period of
    non-constant growth
  – Find the price of the stock at the end of the no-
    constant growth period and discount this price
    back to present
  – Add these two components to find the value of
    stock
Growth Phases Model
• Determine the annual dividends.
  D0 = $3.24 (this has been paid already)
  D1 = D0(1+g1)1 = $3.24(1.16)1 =$3.76
  D2 = D0(1+g1)2 = $3.24(1.16)2 =$4.36
  D3 = D0(1+g1)3 = $3.24(1.16)3 =$5.06
  D4 = D3(1+g2)1 = $5.06(1.08)1 =$5.46
Growth Phases Model
• We determine the PV of cash flows
  – PV(D1) = D1(PVIF15%, 1) = $3.76 (.870) = $3.27
  – PV(D2) = D2(PVIF15%, 2) = $4.36 (.756) = $3.30
  – PV(D3) = D3(PVIF15%, 3) = $5.06 (.658) = $3.33
  – P3 = $5.46 / (.15 - .08) = $78 [CG Model]
  – PV(P3) = P3(PVIF15%, 3) = $78 (.658) = $51.32

  VGP = $3.27+$3.30+$3.33+$51.32
      = $61.22
Determining the Yield on Common
                Stock
• Assuming the constant growth
  model, determine the yield on the stock
     P0 = D1 / ( ke - g )
     Solving for ke such that
     ke = ( D1 / P0 ) + g
Determining the Yield on Common
                Stock
• Assume that the expected dividend (D1) on
  each share of common stock is $3. Each share
  of common stock is currently trading at $30
  and has an expected growth rate of 5%. What
  is the yield on common stock?

     ke = ($3/$30) + 5%
     ke = 15%
Preferred Stock
• Characteristics of preferred stock
  – Preferred is a hybrid. Preferred dividends are
    fixed, but they may be omitted without placing
    the firm in default
  – Most preferred stocks prohibit the firm from
    paying common dividends when the preferred is
    in arrears.
  – Preferred dividends are usually cumulative, up to
    a limit
Preferred Stock Financing: Corporations
• Advantages
   – Fixed financial cost of equity (fixed amount of
     shared profits)
   – Avoid danger of bankruptcy
   – Limited loss of control
• Disadvantages
  – Higher after-tax cost than debt
Preferred Stock Financing: Investor
• Advantages
  – Steadier more assured income than common
    stock
  – Preference over common in the event of
    liquidation
  – Seventy percent of preferred dividends received
    by corporations are not taxable
• Disadvantages
  – Limited sharing of profits
  – No enforceable right to dividends for individuals
Preferred Stock Valuation
• Preferred stock pays fixed dividends at regular
  intervals has no stated maturity date similar to
  a perpetual bond
• Present value of a Preferred stock:-
                           Divp
                     Vp
                            kd
• Yield on Preferred Stock:-
                           Divp
                      kp
                           Vp
Preferred Stock Valuation
• Stock PS has an 8%, $100 par value issue
  outstanding. The appropriate discount rate is
  10%. What is the value of the preferred
  stock?
     DivP = $100 ( 8% ) = $8.00
     kP   = 10%.
     VP   = DivP / kP
          = $8.00 / 10%
          = $80

Chap 10 stocks

  • 1.
    Financial Management Chapter 10 Theory and Practice Tenth Edition Stocks and their Valuation Eugene F. Brigham Michael C. Ehrhardt Instructor: Sanam Taimoor Institute of Business Management
  • 2.
    Topics • Advantages anddisadvantages of common stock as a source of fund and investment • Rights and privileges of common stock holders • Types of common stock • Common Stock valuation • Characteristics of preferred stock • Evaluation of preferred stock as an investment and a source of funds • Understand preferred stock valuation process
  • 3.
    Stock Financing: Corporations •Advantages: – Dividends are not fixed and are not legal obligations – Permanent capital equity does not have to be repaid • Disadvantages: – Most expensive form of capital – Dividends are paid out of after-tax earnings – Underwriting fees greater than those of debt – Dilutes ownership and control
  • 4.
    Stock Financing: Investors •Advantages: – Potentially highest return investment for a given firm – Taxes can be deferred on price appreciation (due only when the stock is sold) – Investors have input regarding company operation
  • 5.
    Stock Financing: Investor •Disadvantages: – Highest risk investment for a given firm – Dividend payments are not fixed and legal obligations – Lowest priority of claims in case of bankruptcy – The firm has no obligation to repurchase stock
  • 6.
    Characteristics and LegalRights of Common Stockholders • Represents ownership. • Ownership implies control. • Stockholders elect directors. • Directors elect management. • Management’s goal: Maximize stock price.
  • 7.
    Privileges of CommonStockholders • Preemptive Right: A provision in the corporate charter or bylaws that gives common stockholders the right to purchase on a pro rata basis new issues of common stock (or convertible securities).
  • 8.
    Types of stockmarket transactions • Secondary Markets: the market in which “used” stocks are traded after they have been issued by corporations • Primary Markets: the market in which firms issue new securities to raise corporate capital – A firm “goes public” through an IPO when the stock is first offered to the public.
  • 9.
    Common Stock Valuation •Valuation Process – Estimate future cash flows (amt./timing). – Assess the riskiness of future cash flows. – Incorporate risk level into the discount rate (adjust the discount rate). – Find the present value of future cash flows.
  • 10.
    Common Stock Valuation •The value of a share of common stock is equal to the PV of all future cash flows that it is expected to provide over the number of years • What cash flows will a shareholder receive when owning shares of common stock? – Future dividends
  • 11.
    Dividend Valuation Model •Basic dividend valuation model accounts for the PV of all future dividends Div1 Div 2 Div V 1 2 .......... . 1 ke 1 ke 1 ke Div t V t t 1 1 ke Divt = Cash Dividend at time t Ke = Investor’s required rate of return
  • 12.
    Dividend Growth PatternAssumptions • The dividend valuation model requires the forecast of all future dividends. The following dividend growth rate assumptions simplify the valuation process – Constant Growth – No Growth – Growth Phases
  • 13.
    Constant Growth Model •The constant growth model assumes that dividends will grow forever at the rate g Do 1 g V ke g D1 V ke g D1: Dividend paid at time 1. g: The constant growth rate. ke: Investor’s required return.
  • 14.
    Constant Growth Model •Stock CG has an expected growth rate of 8%. Each share of stock just received an annual $3.24 dividend per share. The appropriate discount rate is 15%. What is the value of the common stock? D1 = $3.24 ( 1 + 0.08 ) = $3.50 VCG = D1 / ( ke - g ) = $3.50 / ( 0.15 - 0.08 ) = $50
  • 15.
    Zero Growth Model •The zero growth model assumes that dividends will grow forever at the rate g = 0. D1 VZG ke D1: Dividend paid at time 1. ke: Investor’s required return.
  • 16.
    Zero Growth Model •Stock ZG has an expected growth rate of 0%. Each share of stock just received an annual $3.24 dividend per share. The appropriate discount rate is 15%. What is the value of the common stock? D1 = $3.24 ( 1 + 0 ) = $3.24 VZG = D1 / ( ke - 0 ) = $3.24 / ( .15 - 0 ) = $21.60
  • 17.
    Growth Phases Model •The growth phases model assumes that dividends for each share will grow at two or more different growth rates n t Do 1 g1 Dn 1 / ks g2 VGP t t t 1 1 ke t n 1 1 ke
  • 18.
    Growth Phases Model •Stock GP has an expected growth rate of 16% for the first 3 years and 8% thereafter. Each share of stock just received an annual $3.24 dividend per share. The appropriate discount rate is 15%. What is the value of the common stock under this scenario?
  • 19.
    Growth Phases Model 0 1 2 3 4 5 6 D1 D2 D3 D4 D5 D6 Growth of 16% for 3 years Growth of 8% to infinity! Stock GP has two phases of growth. The first, 16%, starts at time t=0 for 3 years and is followed by 8% thereafter starting at time t=3. We should view the time line as two separate time lines in the valuation.
  • 20.
    Growth Phases Model •Steps to calculate VGP, we take following steps – Find the annual dividends – Find the PV of the dividends during the period of non-constant growth – Find the price of the stock at the end of the no- constant growth period and discount this price back to present – Add these two components to find the value of stock
  • 21.
    Growth Phases Model •Determine the annual dividends. D0 = $3.24 (this has been paid already) D1 = D0(1+g1)1 = $3.24(1.16)1 =$3.76 D2 = D0(1+g1)2 = $3.24(1.16)2 =$4.36 D3 = D0(1+g1)3 = $3.24(1.16)3 =$5.06 D4 = D3(1+g2)1 = $5.06(1.08)1 =$5.46
  • 22.
    Growth Phases Model •We determine the PV of cash flows – PV(D1) = D1(PVIF15%, 1) = $3.76 (.870) = $3.27 – PV(D2) = D2(PVIF15%, 2) = $4.36 (.756) = $3.30 – PV(D3) = D3(PVIF15%, 3) = $5.06 (.658) = $3.33 – P3 = $5.46 / (.15 - .08) = $78 [CG Model] – PV(P3) = P3(PVIF15%, 3) = $78 (.658) = $51.32 VGP = $3.27+$3.30+$3.33+$51.32 = $61.22
  • 23.
    Determining the Yieldon Common Stock • Assuming the constant growth model, determine the yield on the stock P0 = D1 / ( ke - g ) Solving for ke such that ke = ( D1 / P0 ) + g
  • 24.
    Determining the Yieldon Common Stock • Assume that the expected dividend (D1) on each share of common stock is $3. Each share of common stock is currently trading at $30 and has an expected growth rate of 5%. What is the yield on common stock? ke = ($3/$30) + 5% ke = 15%
  • 25.
    Preferred Stock • Characteristicsof preferred stock – Preferred is a hybrid. Preferred dividends are fixed, but they may be omitted without placing the firm in default – Most preferred stocks prohibit the firm from paying common dividends when the preferred is in arrears. – Preferred dividends are usually cumulative, up to a limit
  • 26.
    Preferred Stock Financing:Corporations • Advantages – Fixed financial cost of equity (fixed amount of shared profits) – Avoid danger of bankruptcy – Limited loss of control • Disadvantages – Higher after-tax cost than debt
  • 27.
    Preferred Stock Financing:Investor • Advantages – Steadier more assured income than common stock – Preference over common in the event of liquidation – Seventy percent of preferred dividends received by corporations are not taxable • Disadvantages – Limited sharing of profits – No enforceable right to dividends for individuals
  • 28.
    Preferred Stock Valuation •Preferred stock pays fixed dividends at regular intervals has no stated maturity date similar to a perpetual bond • Present value of a Preferred stock:- Divp Vp kd • Yield on Preferred Stock:- Divp kp Vp
  • 29.
    Preferred Stock Valuation •Stock PS has an 8%, $100 par value issue outstanding. The appropriate discount rate is 10%. What is the value of the preferred stock? DivP = $100 ( 8% ) = $8.00 kP = 10%. VP = DivP / kP = $8.00 / 10% = $80