Vid Co., is a young start-up company. No dividends will be paid on the stock over the next nine years because the firm needs to plow back its earnings to fuel growth. The company will pay a $12 per share dividend 10 years from today and will increase the dividend by 4 percent per year thereafter. If the required return on this stock is 13 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Respuesta :

Answer:Therefore the current stock price is [tex]P_{0}[/tex] = $44.384

Explanation:

Stock price for [tex]9^{th}[/tex] year or [tex]P_{9}[/tex] is as follows:

[tex]P_{9} = \frac{Next Dividend\left ( D_{10} \right )}{(Required Rate(r) - Growth rate(g))}[/tex]

[tex]P_{9}[/tex] = [tex][\frac{12}{(13-4)}][/tex]

[tex]P_{9}[/tex] = $133.33

The current stock price or [tex]P_{0}[/tex] is

[tex]P_{0}[/tex] = [tex]\frac{P_{9}}{(1 + Required rate of return)^9}[/tex]

[tex]P_{0}[/tex] = [tex]\frac{133.33}{(1 + 0.13)^9}[/tex]

[tex]P_{0}[/tex] = $44.384

Therefore the current stock price is [tex]P_{0}[/tex] = $44.384