$($Exercise $5\mathrm{.}2)$ A loan of $$14000$

is being repaid by installments of $$2000$

at the end of each year, and a smaller final payment made one year after the last regular payment. Interest is at the effective rate of $11\mathrm{.}4$

$\%.$ Find the amount of outstanding loan balance remaining when the borrower has made payments equal to the amount of the loan.

ANSWER $=$ $