A loan of $$10,000$ is being repaid with $20$ non$-$level annual payments. The interest rate on the loan is an annual effective rate of $6\%.$ The loan was originated $3$ years ago. Payments of $$500$ at the end of the first year, $$750$ at the end of the second year, and $$1,000$ at the end of the third year have been paid. Calculate the outstanding balance immediately after the third payment.