Thursday 23 April 2015

Constant Dividend and Future Growth

Constant Dividend and Growth

There may be situation that dividend remains constant for some years and then grow with a constant rate. The following example can explain the situation.

Example of Constant & Growth

Dividend
.25 $
Constant for 5 years

Growth rate after 5 years
5 %
Cost of equity
20%

Solution

1.       Calculate present value  the dividend for 5 Years

C x [ (1+r)-n-1]/i
= .25 (1.2)-5-1/.2
=.25 (2.99)
=.747

2.       Future value of Share

= Do (1+g)/Ke-g
=( .25)(1.05)
    ( .2-.05)

= .26
  .15

=1.733

3.       Discount the future value

= (1.73)(1.2)-5
=.695


It is important to remember that cost o equity is used for calculating the present value of future dividend and present value future share value.

4.       Total value of Share Price


Present value of Dividend 5 years
$ .74
Present Value of Share Value
$ .695
Share Price
$ 1.43