Question

Metallica Bearings, Inc., 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 dividend of $10 per share 10 years from today and will increase the dividend by 6 percent per year thereafter. If the required return on this stock is 10 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

$106.02

Explanation:

Div₀ - Div₉ = 0

Div₁₀ = $10 and then will grow by 6% forever

we must first determine the terminal value for year 9 using the dividend growth model:

P₉ = Div₁₀ / (Re - g) = $10 / (10% - 6%) = $10 / 4% = $250

now we shall discount this to present day value:

P₀ = $250 / (1 + 10%)⁹ = $250 / 2.3579 = $106.02