Question

The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 18 percent a year for the next 4 years and then decreasing the growth rate to 6 percent per year. The company just paid its annual dividend in the amount of $3.20 per share. What is the current value of one share of this stock if the required rate of return is 8.70 percent

Answer 1

Answer:

$259.34

Explanation:

the value of the stock can be determined using the two stage dividend discount model.

In the first stage, the present value would be determined using a discount rate of 18%.

In the second stage, the present value would be determined using a discount rate of 6%.

Values from the first and second stage would be added together to determine the value of the stock

First stage

Present value in year 1 = ($3.2 x 1.18) / 1.087 = $3.47

Present value in year 2 = ($3.2 x 1.18²) / 1.087² = $3.77

Present value in year 3 = ($3.2 x 1.18³) / 1.087³ = $4.09

Present value in year 4 = ($3.2 x 1.18^4) / 1.087^4 = $4.44

Second stage

($3.2 x 1.18^4 x 1.06) / (0.087 - 0.06) = 243.57

Value of the stock = $3.47 + $3.77 + $4.09 + $4.44 +  243.57 = $259.34