Your uncle will sell you his bicycle shop for $$170,000,$ with "seller financing," at a $6\mathrm{.}0\%$ nominal annual rate. The terms of the loan would require you to make $12$ equal end$-$of$-$month payments per year for $4$ years, and then make an additional final $($balloon$)$ payment of $$50,000$ at the end of the last month. What would your equal monthly payments be$?$

a$.$ $$2,362\mathrm{.}52$

b$.$ $$3,068\mathrm{.}20$

c$.$ $$2,792\mathrm{.}07$

d$.$ $$3,681\mathrm{.}84$

e$.$ $$3,129\mathrm{.}57$