Colgate$-$Palmolive Company has just paid an annual dividend of $$0\mathrm{.}96.$ Analysts are predicting an $11\mathrm{.}0\%$ per year growth rate in earnings over the next five years. After that, Colgate's earnings are expected to grow at the current industry average of $5\mathrm{.}2\%$ per year. If Colgate's equity cost of capital is $8\mathrm{.}5\%$ per year and its dividend payout ratio remains constant, for what price does the DDM predict Colgate stock should sell?

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