Suppose you have just borrowed $$52,793$ at an annual interest of $8\mathrm{.}1\%$ and must repay the loan in equal installments at the end of each of the next $10$ years. By how much would you reduce the amount you owe $($that is$,$ principal$)$ at thejend of the first year? $($Hint: Compute annual loan payment first and then the loan amortization schedule for the first year.$)$

$$3,621\mathrm{.}00$

$$3,623\mathrm{.}00$

$$3,629\mathrm{.}00$

$$3,625\mathrm{.}00$

$$3,627\mathrm{.}00$