Question

The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 20 percent next year and then decreasing the growth rate to a constant 5 percent per year. The company just paid its annual dividend in the amount of $1 per share. What is the current value of a share if the required rate of return is 14 percent?

Answer 1

Current value per share is $13.33

Step-by-step explanation:

The two stage growth model of DDM can be used to calculate the price of the share today. The DDM values a stock based on the present value of the expected future dividends from the stock. The price of this stock under this model can be calculated as follows,

P0 = D0 * (1+g1) / (1+r) + [ (D0 * (1+g1) * (1+g2) / (r - g2)) / (1+r) ]

Where,

• g1 is the initial growth rate which is 20%

• g2 is the constant growth rate which is 5%

• r is the required rate of return

P0 = 1 * (1+0.2) / (1+0.14) + [ (1 * (1+0.2) * (1+0.05) / (0.14 - 0.05)) / (1+0.14) ]

P0 = $13.33