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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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