IceThin Inc. currently pays a annual cash dividend of $$5$ per share. It is estimated that the company's dividend will grow at a rate of $15\%$ per year for the next $2$ years and then at a constant annual rate of $5\%$ thereafter. The company's stock has a beta of $0\mathrm{.}8,$ the risk$-$free rate is $3\%$ and the market risk premium is $8\%.$ What is the estimated price of the company's stock at the end of year $5?$