Suppose you borrow $$600,000$ under a $30-$year mortgage at an interest rate of $3\%.$ Which of the following is

the closest to the amount of principal amortization that occurs in the first year $($a total of $12$ months$)?$

$$17,828\mathrm{.}69$

$$12,526\mathrm{.}72$

$$23,867\mathrm{.}88$

$$19,385\mathrm{.}35$