Cougar Auto is expecting its earnings and dividends to grow at a rate of 19% over the next 5 years. After the period, the firm is expecting to grow at the industry average of 5% indefinitely. If the firm recently paid a dividend of $1.25, and the required rate of return is 12%, what is the most you should pay for this company's stock

Respuesta :

Answer:

amount pay = 32.91

Explanation:

given data

grow at a rate g = 19% = 0.19

time = 5 year

expecting to grow  Eg = 5 % = 0.05

paid a dividend D = $1.25

required rate of return Rg = 12%

solution

we get here amount that pay for company's stock is express as

amount = [tex]D \times \frac{1+g}{1+Rg} + D \times (\frac{1+g}{1+Rg})^2 + D \times (\frac{1+g}{1+Rg})^3 + D \times (\frac{1+g}{1+Rg})^4 + D \times (\frac{1+g}{1+Rg})^5 + D \times (\frac{1+g}{1+Rg})^5 \times \frac{1+Eg}{Rg-Eg} \ \ \ \ \ \ \ \ \ ..................................1[/tex]

   

put here value and we get

[tex]1.25 \times \frac{1+0.19}{1.12} + 1.25 \times (\frac{1+0.19}{1.12})^2 + 1.25 \times (\frac{1+0.19}{1.12})^3 + 1.25 \times (\frac{1+0.19}{1.12})^4 + 1.25 \times (\frac{1+0.19}{1.12})^5 + 1.25 \times (\frac{1+0.19}{1.12})^5 \times \frac{1+0.5}{0.12-0.05}[/tex]  

solve it we get

amount pay = 32.91