AVZ is a start-up company who is using all its cash to growth so it does not plan to pay dividends for the next 5 years. The company then plans to start paying annual cash dividends starting in year 6 of $5.00 for 12 years. Thereafter, the company will assume a constant growth dividend policy and the estimated growth rate in dividends forever after that point is 4%. The price of the stock is set to yield a return of 11%. What is the price of this stock today?
Dividend fro Year-18= 5+4% = 5.20 | ||||||||
Price at the end of Year-17 = Dividend of Year-18 /(Required rate-Growth rate)% | ||||||||
5.20 / (11-4)% = 74.29 | ||||||||
Year | cashflows | PF at 11% | Present Value | |||||
1 | 0 | 0.900901 | 0 | |||||
2 | 0 | 0.811622 | 0 | |||||
3 | 0 | 0.731191 | 0 | |||||
4 | 0 | 0.658731 | 0 | |||||
5 | 0 | 0.593451 | 0 | |||||
6 | 5 | 0.534641 | 2.673204 | |||||
7 | 5 | 0.481658 | 2.408292 | |||||
8 | 5 | 0.433926 | 2.169632 | |||||
9 | 5 | 0.390925 | 1.954624 | |||||
10 | 5 | 0.352184 | 1.760922 | |||||
11 | 5 | 0.317283 | 1.586417 | |||||
12 | 5 | 0.285841 | 1.429204 | |||||
13 | 5 | 0.257514 | 1.287571 | |||||
14 | 5 | 0.231995 | 1.159974 | |||||
15 | 5 | 0.209004 | 1.045022 | |||||
16 | 5 | 0.188292 | 0.941461 | |||||
17 | 79.29 | 0.169633 | 13.45017 | |||||
(5+74.29) | ||||||||
Present value | 31.87 | |||||||
Stock price today = 31.87 | ||||||||
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