Vandelay Industries just paid a dividend of $2.50 that they will grow by 30% per year for the next three years, then at a constant 6% per year. If you require an 8% return, what is the most you would be willing to pay for the stock today?
Required rate= | 8.00% | ||||||
Year | Previous year dividend | Dividend growth rate | Dividend current year | Horizon value | Total Value | Discount factor | Discounted value |
1 | 2.5 | 30.00% | 3.25 | 3.25 | 1.08 | 3.0093 | |
2 | 3.25 | 30.00% | 4.225 | 4.225 | 1.1664 | 3.62226 | |
3 | 4.225 | 30.00% | 5.4925 | 291.103 | 296.5955 | 1.259712 | 235.44707 |
Long term growth rate (given)= | 6.00% | Value of Stock = | Sum of discounted value = | 242.08 |
Where | |||
Current dividend =Previous year dividend*(1+growth rate)^corresponding year | |||
Total value = Dividend + horizon value (only for last year) | |||
Horizon value = Dividend Current year 3 *(1+long term growth rate)/( Required rate-long term growth rate) | |||
Discount factor=(1+ Required rate)^corresponding period | |||
Discounted value=total value/discount factor |
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