Today is $\frac{1}{1}\frac{?}{24},$ and your firm estimated an expected EBIT of $$240,000\mathrm{.}00$ for $2024,$ based on total assets of $$1,00,000\mathrm{.}00,$ a tax rate of $40$ percent, a before$-$tax cost of debt of $10\mathrm{.}0$ percent, and a return on equity $($ROE$)$ of $15\mathrm{.}50$ percent. Given this information, determine what the firm's expected ROE will be for $2024$ if it immediately doubles the amount of debt $($still at a $10\mathrm{.}0$ percent rate$)$ and uses the proceeds to repurchase equity.

$18\mathrm{.}35\%$

$15\mathrm{.}69\%$

$21\mathrm{.}93\%$

$20\mathrm{.}00\%$

$16\mathrm{.}93\%$