Question

A company expects to pay a dividend of $3.50 per share one year from today. the dividend is expected to grow at 30 percent per year for three years. Thereafter, the dividend will grow at 4 percent per year in perpetuity. if the appropriate discount rate for the stock is 13 percent, what is the price of the stock today

Answer 1

Answer: $70

Explanation:

Price = Present value of year 1 dividend + Present value of year 2 dividend + Present value of year 3 dividend + Present value of year 4 dividend + Present value of year 4 price

Year 4 price = Year 4 dividend / ( Required return - Growth rate after 3 years)

= (3.50 * 1.30³ * 1.04) / (13% - 4%)

= $88.856

Price = (3.50 / (1 + 13%)) + ( (3.50 * 1.3) / 1.13²) + ( (3.50 * 1.3²) / 1.13³) + ( (3.50 * 1.3³) / 1.13⁴) + 88.856/1.13⁴

= $69.97

= $70