The Damian Priest Store $($DPS$)$ has a cost of equity of $11\mathrm{.}7$ percent, a cost of debt of $6\mathrm{.}3$ percent, and a tax rate of $21$ percent. If DPS has a market value debt$-$equity ratio of $\mathrm{.}52,$ what is the weighted average cost of capital for DPS$?$

Multiple Choice

$9\mathrm{.}40\%$

$8\mathrm{.}45\%$

$6\mathrm{.}70\%$

$9\mathrm{.}70\%$