Due to economic challenges XYZ Corp has suspended its dividend for the next two years. The following year, i.e. 3 years from today, the firm plans to resume dividend payment with a dividend of $2.25 and intends to grow this dividend at a constant rate of 3.4% per year thereafter. If investors require a rate of return of 7.2% for investing in this firm, what would investors be willing to pay for the stock today?
Required rate= | 7.20% | ||||||
Year | Previous year dividend | Dividend growth rate | Dividend current year | Horizon value | Total Value | Discount factor | Discounted value |
1 | 0 | 0.00% | 0 | 0 | 1.072 | 0 | |
2 | 0 | 0.00% | 0 | 0 | 1.149184 | 0 | |
3 | 0 | 0.00% | 2.25 | 61.224 | 63.474 | 1.231925248 | 51.52423 |
Long term growth rate (given)= | 3.40% | Value of Stock = | Sum of discounted value = | 51.52 | |||
Where | |||||||
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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