Gillette Corporation will pay an annual dividend of $ $0\mathrm{.}63$ one year from now. Analysts expect this dividend to grow at $11\mathrm{.}1\%$ per year thereafter until the $6$th year.$$ Thereafter, growth will level off at $1\mathrm{.}6\%$ per year. According to the$$ dividend$-$discount model, what is the value of a Gillette share if the$$ firm's equity cost of capital is $8\mathrm{.}4\%?$

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Part $1$

The value of a Gillette share is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$