Assume that the answer to the question above $($question $8)$ is $$100$ million and debt continue to have a market value of $$30$ million. Compute the return on equity for this firm after recapitalization if the tax rate is $20\%$ given the cost of equity for an unlevered firm is $15\%$ and cost of debt is $7\%.($Solve for the value of equity first$)$

$19\mathrm{.}51\%$

$16\mathrm{.}92\%$

$17\mathrm{.}74\%$

$20\mathrm{.}71\%$

$18\mathrm{.}43\%$