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Financial Management
Discussion 6
• Dt dividend the stockholder expects to receive at the
  end of Year t.
   • D0 is the most recent dividend, which has already
     been paid
   • D1 is the first dividend expected, and it will be paid
     at the end of this year.
   – D2 is the dividend expected at the end of two
     years; and so forth.
• P0 actual market price of the stock today
•   ˆ
    Pt expected price of the stock at the end of
    each Year t.
       ˆ
     – P is the intrinsic, or fundamental, value of
        0
       the stock today as seen by the particular
       investor doing the analysis.
       ˆ
     – P1 is the price expected at the end of
       one year ; and so on.
• g expected growth rate in dividends as
  predicted by a marginal investor.
• rs minimum acceptable, or required, rate
  of return on the stock, considering both its
  riskiness and the returns available on
  other investments.
• rs expected rate of return that an investor
  who buys the stock expects to receive in
  the future
• rs actual, or realized, after-the-fact rate
  of return
Equations
 Expected Dividends
ˆ         D1        D2        D3                  D∞
P0 =              +         +          + ... +
       (1 + rs ) (1 + rs ) (1 + rs )
                1         2          3
                                               (1 + rs ) ∞


  constant growth stock
  ˆ = D0 (1 + g ) = D1
  P0
       rs − g      rs − g
  SML ( Security Market Line)

       rs = rRF + (RPM)bFirm
Equations
expected dividend yield & Capital Gain Yield




ˆ      D1      ∧     D1
P0 =        to r s =    + g.
     rs − g          P0
Equations
Problem 8-1 page 307
D1 = D0(1 + g1) = $1.50(1.05) = $1.5750.
    D2 = D0(1 + g1)(1 + g2) = $1.50(1.05)2 = $1.6538.
    D3 = D0(1 + g1)(1 + g2)(1 + g3) = $1.50(1.05)3 = $1.7364.
    D4 = D0(1 + g1)(1 + g2)(1 + g3)(1 + gn) = $1.50(1.05)3(1.10)
= $1.9101.
    D5 = D0(1 + g1)(1 + g2)(1 + g3)(1 + gn)2 =
$1.50(1.05)3(1.10)2 = $2.1011.
Problem 8-2 page 307
=

=




    1.50 / 0.15 – 0.07 =6.25 $
Problem 8-3 page 308
Problem 8-6 page 308
Problem 8-4 page 306
D ps
rps =          = 5 / 50 X 100% = 10%
        v ps

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Financial management discussion 6

  • 2. • Dt dividend the stockholder expects to receive at the end of Year t. • D0 is the most recent dividend, which has already been paid • D1 is the first dividend expected, and it will be paid at the end of this year. – D2 is the dividend expected at the end of two years; and so forth. • P0 actual market price of the stock today
  • 3. ˆ Pt expected price of the stock at the end of each Year t. ˆ – P is the intrinsic, or fundamental, value of 0 the stock today as seen by the particular investor doing the analysis. ˆ – P1 is the price expected at the end of one year ; and so on.
  • 4. • g expected growth rate in dividends as predicted by a marginal investor. • rs minimum acceptable, or required, rate of return on the stock, considering both its riskiness and the returns available on other investments. • rs expected rate of return that an investor who buys the stock expects to receive in the future • rs actual, or realized, after-the-fact rate of return
  • 5. Equations Expected Dividends ˆ D1 D2 D3 D∞ P0 = + + + ... + (1 + rs ) (1 + rs ) (1 + rs ) 1 2 3 (1 + rs ) ∞ constant growth stock ˆ = D0 (1 + g ) = D1 P0 rs − g rs − g SML ( Security Market Line) rs = rRF + (RPM)bFirm
  • 6. Equations expected dividend yield & Capital Gain Yield ˆ D1 ∧ D1 P0 = to r s = + g. rs − g P0
  • 9. D1 = D0(1 + g1) = $1.50(1.05) = $1.5750. D2 = D0(1 + g1)(1 + g2) = $1.50(1.05)2 = $1.6538. D3 = D0(1 + g1)(1 + g2)(1 + g3) = $1.50(1.05)3 = $1.7364. D4 = D0(1 + g1)(1 + g2)(1 + g3)(1 + gn) = $1.50(1.05)3(1.10) = $1.9101. D5 = D0(1 + g1)(1 + g2)(1 + g3)(1 + gn)2 = $1.50(1.05)3(1.10)2 = $2.1011.
  • 11. = = 1.50 / 0.15 – 0.07 =6.25 $
  • 13.
  • 15.
  • 17. D ps rps = = 5 / 50 X 100% = 10% v ps