A stock is expected to pay the following dividends: $1.3 four years from now, $1.5 five years from now, and $2 six years from now, followed by growth in the dividend of 7% per year forever after that point. There will be no dividends prior to year 4. The stock's required return is 13%. The stock's current price (Price at year 0) should be $____________.
Be specific about the process, especially on how to calculate PV. Do not round any intermediate work, but round your final answer to 2 decimal places
Terminal Value = 2.14/(0.13-0.07)=35.667
Year | Div | Terminal value | Total Cash flow | DF | Discounted Value |
1 | 0 | 0 | 0.884956 | 0 | |
2 | 0 | 0 | 0.783147 | 0 | |
3 | 0 | 0 | 0.69305 | 0 | |
4 | 1.3 | 1.3 | 0.613319 | 0.797314346 | |
5 | 1.5 | 1.5 | 0.54276 | 0.814139904 | |
6 | 2 | 35.66667 | 37.66667 | 0.480319 | 18.09199787 |
7 | 2.14 | ||||
Stock price | $ 19.70 |
Discount factor = 1/(1.13^n) where n is the number of year
PV = Total Cash flow*Discount factor
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