Thyssen Corporation is currently a levered firm with a debt$-$equity ratio of $0\mathrm{.}35$ and a pretax cost of debt of $6\mathrm{.}2\%.$ The firm has a cost of equity of $12\mathrm{.}80\%.$ The firm is considering switching to an all equity firm. What will the firm's cost of equity be if it makes the switch? Ignore taxes.

A $10\mathrm{.}88\%$

B $10\mathrm{.}95\%$

C $11\mathrm{.}02\%$

D $11\mathrm{.}09\%$

E $11\mathrm{.}16\%$