Answer: Current dividend = $57.35
Explanation:
Given:
Company’s stock currently sells for $65 per share
The required return on the stock = 15%
Required return = [tex]\left [ \frac{Current dividend \times (1+growth rate)}{current share price} \right ]+(growth rate)[/tex]
Required return = Dividend yield + Capital gains
15% = [tex]\frac{15}{2} + \frac{15}{2}[/tex]
[tex]\therefore[/tex] Dividend yield = 7.5% , Capital gains = 7.5%
Now we will compute the current dividend as follow:
Dividend yield = [tex]\left [ \frac{Current dividend \times (1+growth rate)}{current share price} \right ][/tex]
[tex]\therefore[/tex] Current dividend = [tex]\frac{65\times 7.5}{1+7.5}[/tex]
Current dividend = $57.35