Reddick Enterprises' stock is expected to pay a dividend of $0.8575 at the end of the year. the dividend is projected to increase at a constant rate of 5.50% per year. the required rate of return on the stock, rs, is 9.00%. what is the stocks expected price in 3 years from today?

Respuesta :

Answer:

$30.35

Explanation:

We know,

Stock price, [tex]P_{0}[/tex] = [tex]\frac{D_{1} }{k_{s} - g }[/tex]

Given,

[tex]D_{0}[/tex] = $0.8575

Constant Growth Rate, g = 5.50% = 0.055

Required rate of return on the stock = 9% = 0.09

As we do not know the value of [tex]D_{1}[/tex], we have to find it through =

[tex]D_{0}[/tex] x (1 + g)

Putting the value in the stock price formula for third year

[tex]P_{3}[/tex] = [tex]\frac{D_{0} (1 + g)^{4} }{k_{s} - g}[/tex]

[tex]P_{3}[/tex] = [tex]\frac{0.8575 (1+0.055)^{4} }{0.09-0.055}[/tex]

[tex]P_{3}[/tex] = [tex]\frac{1.0623}{0.035}[/tex]

[tex]P_{3}[/tex] = $30.35