Assume Gillette Corporation will pay an annual dividend of $ 0.67 one year from now. Analysts expect this dividend to grow at 12.4 % per year thereafter until the 4 th year. Thereafter, growth will level off at 2.1 % per year. According to the dividend-discount model, what is the value of a share of Gillette stock if the firm's equity cost of capital is 8.9 %?
Answer = $ 14.32
Note:
Value = Present Value of Dividends + Present Value of Price at Year 4
= $11.42+2.90
= $ 14.32
Present Value of Price at Year 4 =[ Expected Dividend in year 5 / (Required return -growth rate)] * Discounting Factor (rate, time)
= [(1.07*1.021)/(8.9%-2.1%)]* 0.7110309102419350
= $ 11.42
Present Value of Dividends :
Year | Dividend | Discounting Factor(8.9%) | Present Value |
0 | 0.67 | ||
1 | 0.75 | 0.9182736455463730 | 0.69 |
2 | 0.85 | 0.8432264881050260 | 0.71 |
3 | 0.95 | 0.7743126612534670 | 0.74 |
4 | 1.07 | 0.7110309102419350 | 0.76 |
Present Value of Dividends | 2.90 |
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