Alcowoa Company has just paid an annual dividend of $$2\mathrm{.}50.$ You are predicting dividends to grow by $$0\mathrm{.}45$ per year over the next $6$ years. After then, Alcowoa's earnings are expected to grow $4\%$ per year, and its dividend payout rate will remain constant. To compute Colgate's equity cost of capital, you want to apply CAPM. The beta of Alcowoa stock is

$2\mathrm{.}45($same as for Alcoa stock $-$ just for curiosity, not exam relevant information$).$ Furthermore, you

assume that the risk$-$free rate is $3\mathrm{.}5\%$ and that the equity market risk premium is $7\mathrm{.}5\%.$

What price does the dividend$-$discount model predict Alcowoa stock should sell for today?