Part II: Dividend Discount Model

Định giá cổ phiếu bằng R

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
Định giá cổ phiếu bằng R

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
Định giá cổ phiếu bằng R

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
Định giá cổ phiếu bằng R

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:

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

Định giá cổ phiếu bằng R

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
Định giá cổ phiếu bằng R

Let's practice!

Định giá cổ phiếu bằng R

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