Answer:
The answer is 6.17%.
Explanation:
We apply the Dividend Model for solving the questions.
Denote g as the constant dividend growth rate after 3 years which needs to be found.
The principle in the Dividend model is: Current share price = Projected present value of all expected future dividend discounted at company's cost of equity rs =16%.
Thus Current share price = Present value of Dividend paid in Y1 + Present value of Dividend paid in Y2 + Present value of Dividend paid in Y3 + Present value of dividend perpetuity growth after Y3.
=> 51 = (3 x 1.25) / 1.16^1 + (3 x 1.25^2)/ 1.16^2 + (3 x 1.25^3)/1.16^3 + [3 x 1.25^3 x (1+g)]/(0.16-g)/1.16^3 <=> [5.8594 x (1+g)]/(0.16-g)/1.16^3 = 40.5298 <=> [5.8594 x (1+g)]/(0.16-g) = 63.2628 <=> 5.8594 + 5.8594g = 10.1220 - 63.2628g <=> 69.1222g = 4.2626 <=> g = 6.17%.
Thus, the constant rate the stock's dividend expected to grow after Year 3 is 6.17%
