Question

Membo just paid a dividend of $4.6 per share. Dividends are expected to grow at 5%, 4%, and 3% for the next three years respectively. After that the dividends are expected to grow at a constant rate of 2% indefinitely. Stockholders require a return of 7 percent to invest in Membo’s common stock. Compute the value of Membo’s common stock today.

Answer 1

P0 = $99.2830 rounded off to $99.28

Step-by-step explanation:

The dividend discount model (DDM) can be used to calculate the price of the stock today. DDM calculates the price of a stock based on the present value of the expected future dividends from the stock. The formula for price today under DDM is,

P0 = D1 / (1+r) + D2 / (1+r)^2 + ... + Dn / (1+r)^n + [(Dn * (1+g) / (r - g)) / (1+r)^n]

Where,

• D1, D2, ... , Dn is the dividend expected in Year 1,2 and so on

• g is the constant growth rate in dividends

• r is the discount rate or required rate of return

P0 = 4.6 * (1+0.05) / (1+0.07) + 4.6 * (1+0.05) * (1+0.04) / (1+0.07)^2 +

4.6 * (1+0.05) * (1+0.04) * (1+0.03) / (1+0.07)^3 +

[(4.6 * (1+0.05) * (1+0.04) * (1+0.03) * (1+0.02) / (0.07 - 0.02)) / (1+0.07)^3]

P0 = $99.2830 rounded off to $99.28