In: Finance
The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 11% per year for the next 6 years and then decreasing the growth rate to 6% per year forever after. The company just paid its annual dividend in the amount of $1.47 per share. What is the current value of one share if the required rate of return is 10%? ENTER YOUR ANSWER WITH TWO DECIMAL PLACEs (e.g., 12.25). ROUND TO THE NEAREST CENT. DO NOT USE THE DOLLAR SIGN ($) IN YOUR ANSWER.
Required rate= | 10.00% | ||||||
Year | Previous year dividend | Dividend growth rate | Dividend current year | Horizon value | Total Value | Discount factor | Discounted value |
1 | 1.47 | 11.00% | 1.6317 | 1.6317 | 1.1 | 1.4834 | |
2 | 1.6317 | 11.00% | 1.811187 | 1.811187 | 1.21 | 1.49685 | |
3 | 1.811187 | 11.00% | 2.01041757 | 2.01041757 | 1.331 | 1.51046 | |
4 | 2.01041757 | 11.00% | 2.231563503 | 2.231563503 | 1.4641 | 1.52419 | |
5 | 2.231563503 | 11.00% | 2.477035488 | 2.477035488 | 1.61051 | 1.53804 | |
6 | 2.477035488 | 11.00% | 2.749509392 | 72.862 | 75.61150939 | 1.771561 | 42.68 |
Long term growth rate (given)= | 6.00% | Value of Stock = | Sum of discounted value = | 50.23 |
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 6 *(1+long term growth rate)/( Required rate-long term growth rate) | |||
Discount factor=(1+ Required rate)^corresponding period | |||
Discounted value=total value/discount factor |