A $$90,000$ reverse mortgage is for $10$ years at $6\mathrm{.}70\%$ interest rate where payments are made annually at the end of each year. What is the ending balance on this loan in year $3?$

Below $19,200$

Between $19,200$ and $19,700$

Between $19,700$ and $20,200$

Between $20,200$ and $20,700$

Between $20,700$ and $21,200$

Above $21,200$