Solution :
Given :
a). Value of stock earned per share = $5
Percentage of dividends distributed = 16%
Growth of dividend annually = 4%
Calculating the value of the common stock :
[tex]$D_0[/tex] = 16% of $5
= 0.16 x 5
= 0.8
k = 0.09
g = 0.04
Therefore, the stock's value is give by,
[tex]$=\frac{D_0(1+g)}{k-g}$[/tex]
[tex]$=\frac{0.8(1+0.04)}{0.09-0.04}$[/tex]
=$16.64
b). Therefore, the value of the common stock when the growth rate increases is,
[tex]$D_0[/tex] = 0.8+20% of 0.8
= 0.96
k = 0.09
g = 0.04
Value of stock [tex]$=\frac{D_0(1+g)}{k-g}$[/tex]
[tex]$=\frac{0.96(1+0.04)}{0.09-0.04}$[/tex]
=$19.96