A stock just paid a dividend of $$4\mathrm{.}00.$ Next year, you are expecting this dividend to grow by $10\%,$ and you are expecting the company to generate earnings of $$7\mathrm{.}50$ per share next year. Looking at comparable firms, you believe that next year, this company will achieve a price$-$to$-$earnings $($P$/$E$)$ ratio of $15\mathrm{.}6.$ Given your projections, if the company$$s stock has a required return of $12\%,$ what price would you be willing to pay for a share of this stock today?