Question

1) Synovec Co. is growing quickly. Dividends are expected to grow at a rate of 30 percent for the next three years, with the growth rate falling off to a constant 4 percent thereafter. If the required return is 11 percent, and the company just paid a dividend of $2.15, what is the current share price

Answer 1

P0 = $60.23475 rounded off to $60.23

Step-by-step explanation:

To calculate the market price of the stock today, we will use the two stage growth model of DDM. The two stage growth model calculates the values of the stock today based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g1) / (1+r) + D0 * (1+g1)^2 / (1+r)^2 + ... + D0 * (1+g1)^n / (1+r)^n + [(D0 * (1+g1)^n * (1+g2)) / (r - g2)] / (1+r)^n

Where,

• D0 is the dividend today

• g1 is the short term growth rate

• g2 is the long term or constant growth

• r is the required rate of return on the stock

P0 = 2.15 * (1+0.30) / (1+0.11) + 2.15 * (1+0.30)^2 / (1+0.11)^2 +

2.15 * (1+0.30)^3 / (1+0.11)^3 + [(2.15 * (1+0.30)^3 * (1+0.04)) / (0.11 - 0.04)] / (1+0.11)^3

P0 = $60.23475 rounded off to $60.23