CX Enterprises has the following expected dividends: $ 1.03 in one year, $ 1.23 in two years, and $ 1.33 in three years. After that, its dividends are expected to grow at 3.5 % per year forever (so that year 4's dividend will be 3.5 % more than $ 1.33 and so on). If CX's equity cost of capital is 12 %, what is the current price of its stock?
Required rate= | 12.00% | ||||||
Year | Previous year dividend | Dividend growth rate | Dividend current year | Horizon value | Total Value | Discount factor | Discounted value |
1 | 0 | 0.00% | 1.03 | 1.03 | 1.12 | 0.9196 | |
2 | 1.03 | 0.00% | 1.23 | 1.23 | 1.2544 | 0.98055 | |
3 | 1.23 | 0.00% | 1.33 | 16.195 | 17.525 | 1.404928 | 12.47395 |
Long term growth rate (given)= | 3.50% | Value of Stock = | Sum of discounted value = | 14.37 |
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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