For how long will Frederick have to make payments of $$247\mathrm{.}00$ at the end of every three months to repay a loan of $$2175\mathrm{.}00$ if interest is $5\%$ compounded quarterly? State your answer in years and months $($from $0$ to $11$ months$).$

Frederick will have to make payments for year$($s$)$ and month$($s$).$