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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.

Respuesta :

Shahzaibfaraz

Answer:

P0 = $99.2830  rounded off to $99.28

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

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