$3$BG Corporation just paid a cash dividend of $$2\mathrm{.}50$ per share. Investors require a $12\%$ return from investments similar to this one. If the dividend expects to grow $7\%$ per year, what valuation would the stock compute to$?($hint: use the dividend growth model$)$

$$63$

$$45\mathrm{.}35$

$$27$

$$53\mathrm{.}50$