Whitewall Tire Co. just paid an annual dividend of $1.70 on its common shares.

If Whitewall is expected to increase its annual dividend by 2.10 percent per year into the foreseeable future and the current price of Whitewall's common shares is $20.44, what is the cost of common stock for Whitewall?

Respuesta :

Answer:

10.59%

Explanation:

First, find next year's dividend using dividend discount model formula;

D1 = D0 (1+g)

D0 = current dividend paid = 1.70

D1 = expected next year's dividend

g = growth rate = 2.10% or 0.0210 as a decimal

therefore. D1 = 1.70 (1+0.0210)

D1 = 1.70 *1.0210

D1 = 1.7357

With the current price of $20.44,  find the cost of stock (r) ;

r = [tex]\frac{D1}{P0} + g[/tex]

P0 = Current price

r = [tex]\frac{1.7357}{20.44} + 0.0210\\ \\ =0.0849 +0.0210\\ \\ =0.1059[/tex]

As a percentage, the cost of stock is 10.59%