Part II: Dividend Discount Model

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Cliff Ang

Senior Vice President, Compass Lexecon

Single-Stage Dividend Discount Model

There are two types of stocks firms issue: preferred stocks and common stocks

Many preferred and common stocks pay dividends

  • Dividends are typically the "cash flows" that investors receive from holding stocks
  • We can then discount this stream of dividends to value the stock
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Discounting Dividends

Constant Dividend Stream

$ V = div_{t+1} / k $

Suppose $div_{t+1}$ = $ \$50 $ and $k$ = 6.25%.

div <- 50

k <- 0.0625
div / k
800

Dividend with Constant Growth

$ V = div_{t+1} / (k - g) $

Suppose $div_{t+1}$ = $ \$50 $, $k$ = 6.25%, and $g$ = 2%.

div <- 50

k <- 0.0625
g <- 0.02
div / (k - g)
1176.471
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Two-Stage DDM - No Dividends During First Stage

  • You can still use a DDM even for firms that do not currently pay dividends
  • Firms with high growth may not pay dividends now, but one can reasonably expect the firm's growth to slow down and begin paying dividends at some point in the future
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What to do then?

  • Use a 2-stage Model
    • 1st stage: No dividends for T years
    • 2nd stage: Expect firm to pay dividends beginning Year T + 1

Mathematically:

$$ V = 0 + (div_{T+1} / (k - g)) * (1 / (1 + k)^{T}) $$

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Example

Year 1 2 3 4 5 6 7 ...
Dividends 0 0 0 0 0 $50 $51 ...

     

div6 <- 50

g <- 0.02
k <- 0.0625
0 + (div6 / (k - g)) * (1 / (1 + k)^6)
817.7253
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Let's practice!

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