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Your company is estimated to make dividends payments of $2.1 next year, $3.6 the year after, and $4.2 in the year after that. The dividends will then grow at a constant rate of 6% per year. If the discount rate is 9% then what is the current stock price

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Answer:

P0 = $122.79185  rounded off to $122.79

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

P0 = 2.1 / (1+0.09)  +  3.6 / (1+0.09)^2  +  4.2 / (1+0.09)^3  +  

[(4.2 * (1+0.06) / (0.09 - 0.06)) / (1+0.09)^3]

P0 = $122.79185  rounded off to $122.79

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