Suppose you have just borrowed $$50,267$ at an annual interest of $8\mathrm{.}1\%$ and must repay the loan in equal installments at the end of each of the next $6$ years. By how much would you reduce the amount you owe $($that is$,$ principal$)$ at the end of the first year? $($Hint: Compute annual loan payment first and then the loan amortization schedule for the first year.$)$