Valence Electronics has $224$ million shares outstanding. It expects earnings at the end of the year of $$800$ million. Valence pays out $40\%$ of its earnings in total $-15\%$ paid out as dividends and $25\%$ used to repurchase shares. If Valence's eamings are expected to grow by $7\%$ per year, these payout rates do not change, and Valence's equity cost of capital is $10\%,$ what is Valence's share price?

A$.$ $$38\mathrm{.}10$

B$.$ $$14\mathrm{.}29$

C$.$ $$7\mathrm{.}14$

D$.$ $$47\mathrm{.}62$