A $$10,000$ debt is repaid by payments of $$800$ at the end of each quarter for five years. What semiannually compounded nominal interest rate was charged on the loan?

Multiple Choice

$9\mathrm{.}81\%$

$20\mathrm{.}35\%$

$11\mathrm{.}08\%$

$19\mathrm{.}86\%$

$23\mathrm{.}10\%$