The common stock of Eddie's Engines, Inc., sells for $37.73 a share. The stock is expected to pay a dividend of $3.70 per share next year. Eddie's has established a pattern of increasing their dividends by 5.8 percent annually and expects to continue doing so. What is the market rate of return on this stock

Respuesta :

Answer:

r = 0.1560652001 or 15.60652001% rounded off to 15.61%

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 = D0 * (1+g) / (r - g)

Where,

  • D0 * (1+g) is dividend expected for the next period
  • g is the growth rate
  • r is the required rate of return   or market rate of return

Plugging in the values for P0, D1, and g, we can calculate the value of r or market rate of return on the stock to be,

37.73 = 3.70  /  (r - 0.058)

37.73 * (r - 0.058) = 3.7

37.73r - 2.18834 = 3.7

37.73r = 3.7 + 2.18834

r = 5.88834 / 37.73

r = 0.1560652001 or 15.60652001% rounded off to 15.61%