Assume a company will repurchase $$250,000$ of its common shares using excess cash. Information prior to the repurchase appears below. What will be the return on equity $($ROE$)$ following the repurchase?

Cash $=$ $$500,000$

Other assets $=$ $$3,500,000$

Debt $=$ $$800,000$

Common equity $=$ $$3,200,000$

Net income $=$ $$600,000$

Question $5$ options:

$16\mathrm{.}00\%$

$20\mathrm{.}34\%$

$11\mathrm{.}86\%$

$14\mathrm{.}12\%$