Fishing Designs has arranged to borrow $$16,000$ today at $10\%$ interest. The loan is to be repaid with end$-$of$-$year payments of $$3,000$

at the end of years $1$ through $4.$ At the end of year $5,$ the remainder will be paid. What is the year $5$ payment? $

Round entry to the nearest dollar. Tolerance is $+-4.$