For how long will Zack have to make payments of $$114\mathrm{.}00$ at the end of every six months to repay a loan of $$3460\mathrm{.}00$ if interest is $4\%$ compounded semi$-$annually? State your answer in years and months $($from $0$ to $11$ months$).$

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