In: Finance
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 exactly 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.)
Current share price
$
No dividends will be paid on the stock over the next nine years. Once the stock begins paying dividends, it will have a constant growth rate of dividends.
Pt = [Dt × (1 + g)] / (R − g)
The price of the stock in Year 9 will be:
P9 = D10 / (R − g) = $10 / (0.10 − 0.06) = $250
The price of the stock today will be:
P0 = $250 / 1.10^9 = $106.02