Question

TP Inc. is a young start-up company. No dividends will be paid on the stock over the next 9 years, because the firm needs to plow back its earnings to fuel growth. The company will then pay a $5 per share dividend at the end of year 10 and thereafter it will increase the dividends by 2% per year forever. If the required rate of return on this stock is 8%, what is the current (today’s) share price?

Answer 1

Answer:

$41.69.

Explanation:

P9 = Next dividend / Required rate - Growth rate

P9 = $5 / 8% - 2%

P9 = $5 / 6%

P9 = $5 / 0.06

P9 = $83.33

So, the stock price for 9th year is $83.33

Current stock price = P9 / (1 + Required rate of return)

Current stock price = $83.33 / (1+0.08)^9

Current stock price = $83.33 / (1.08)^9

Current stock price = $83.33 / 1.9990046271

Current stock price = 41.68574643115692

Current stock price = $41.69

Therefore, the current stock price is $41.69.