Assume Gillette Corporation will pay an annual dividend of $$0\mathrm{.}63$ one year from now. Analysts expect this dividend to grow at $12\mathrm{.}5\%$ per year thereafter until the $5$ th year. Thereafter, growth will level off at $2\mathrm{.}5\%$ 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 $7\mathrm{.}2\%?$

The value of Gillette's stock is $ $($Round to the nearest cent.$)$