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CDB stock is currently priced at $82. The company will pay a dividend of $4.65 next year and investors require a return of 10.9 percent on similar stocks. What is the dividend growth rate on this stock

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Answer:

g = 0.05229 or 5.229% rounded off to 5.23%

Step-by-step explanation:

Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D1 / (r - g)

Where,

  • D1 is dividend in year 1 or the next dividend
  • g is the growth rate
  • r is the required rate of return

Plugging in the available values for P0, D1 and r, we can calculate the value of g.

82 = 4.65 / (0.109 - g)

82 * (0.109 - g) = 4.65

8.938 - 82g = 4.65

8.938 - 4.65 = 82g

4.288 = 82g

g = 4.288 / 82

g = 0.05229 or 5.229% rounded off to 5.23%

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