Paige has taken out a loan for server equipment for her business totaling $$14,000.$ The loan will be repaid by making end of quarter payments of $$439\mathrm{.}47$ for the next $9$ years. If interest is $2\mathrm{.}7\%$ compounded monthly, find the balance on the loan at the end of the $2$nd year? Enter a POSITIVE VALUE, rounded to two decimal places.

Balance at the end of the $2$nd year: $