A bicycle shop is for sale with a price of $$110,000,$ with "seller financing," at a $6\mathrm{.}0\%$ nominal annual rate. The terms of the loan would require to make $12$ equal end$-$of$-$month payments per year for $4$ years, and then make an additional final $($balloon$)$ payment of $$50,000$ at the end of the last month. Compute the monthly payment on this loan.

$$1,509\mathrm{.}78$

$$1,659\mathrm{.}10$

$$1,460\mathrm{.}01$

$$1,277\mathrm{.}51$

$$1,775\mathrm{.}24$