Question

Problem 8-15 Nonconstant Growth [LO1] 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 $15 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 12 percent, what is the current share price

Answer 1

$84.14

Step-by-step explanation:

P9 = Nest dividend (D10) / Required rate (r) - Growth rate (g)

P9 = $14 / 12% - 6%

P9 = $14 / 0.06

P9 = $233.33

P0 = P9 / (1+Required rate of return)^9

P0 = $233.33/(1+0.12)^9

P0 = $233.33/2.7731

P0 = $84.1404926

P0 = $84.14

So, the current share price is $84.14