2. (three-stage DDM) The current dividend for Hugh Corp is $4.00. In stage 1, which lasts 4 years, the dividend will grow at 30% per year. In stage 2, which also lasts 4 years, the dividend will grow at 15% per year. Finally, in stage 3, the dividend will grow at 6% forever. If the required rate of return is 11%, what is the value per share?
D 0 | 4 | ||||
D1 | 4+30% | 5.2 | |||
D2 | 5.20+30% | 6.76 | |||
D3 | 6.76+30% | 8.79 | |||
D4 | 8.79+30% | 11.43 | |||
D5 | 11.43+15% | 13.14 | |||
D6 | 13.14+15% | 15.11 | |||
D7 | 15.11+15% | 17.38 | |||
D8 | 17.38+15% | 19.99 | |||
D9 | 19.99+6% | 21.19 | |||
Horizon value at Year-8 = 21.19 / (11-6)% = 423.80 | |||||
Year | Cashflows | PVF at 11% | Present value | ||
1 | 5.2 | 0.900901 | 4.684685 | ||
2 | 6.76 | 0.811622 | 5.486568 | ||
3 | 8.79 | 0.731191 | 6.427172 | ||
4 | 11.43 | 0.658731 | 7.529295 | ||
5 | 13.14 | 0.593451 | 7.79795 | ||
6 | 15.11 | 0.534641 | 8.078423 | ||
7 | 17.38 | 0.481658 | 8.371223 | ||
8 | 19.99 | 0.433926 | 8.674191 | ||
8 | 423.8 | 0.390925 | 165.6739 | ||
Value of stock per share | 222.72 | ||||
Answer is 222.72 |
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