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A stock just paid an annual dividend of $2.3. The dividend is expected to grow by 8% per year for the next 3 years. The
A stock just paid an annual dividend of $2.3. The dividend is expected to grow by 8% per year for the next 3 years. The growth rate of dividends will then fall steadily (linearly) from 8% after 3 years to 5% in year 6. The required rate of return is 12%.
a. What is the value of the stock if the dividend growth rate will stay 0.05 (5%) forever after 6 years?
(I've provided how to solve it below)
b. In 6 years, the P/E ratio is expected to be 17 and the payout ratio to be 80%. What is the value of the stock when using the P/E ratio?
A | B | C | D | E | F | G | H | I | |
1 | Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |
2 | Growth rate | 0.09 | 0.09 | 0.09 | 0.08 | 0.07 | 0.06 | ||
3 | Dividend | 1.1 | 1.199 | 1.307 | 1.425 | 1.538 | 1.646 | 1.745 | =G3*(1+H2) |
4 | Req. return | 0.12 | |||||||
5 | P66 | 30.83 | =H3*(1+H2) /(B4-H2) | ||||||
6 | PV | 1.071 | 1.042 | 1.014 | 0.978 | 0.934 | 16.5 | =(H3+H5) /(1+$B4)^H1 | |
7 | P00 | 21.54 | =SUM(C6:H6) |
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