Your firm has taken out $a$ $ $550$ comma $000$ loan with $8\mathrm{.}2\%$ APR $(compounded$ monthly$)$ for some commercial property. $Asis$ common $in$ commercial real estate, the loan $isa5-$year loan based $ona15-$year amortization. This means that your loan payments will $be$ calculated $asif$ you will take $15$ years $to$ pay off the loan, but you actually must $dosoin5$ years. $Todo$ this, you will make $59$ equal payments based $on$ the $15-$year amortization schedule and then make a final $60th$ payment $to$ pay the remaining balance. $(Note$: $Be$ careful not $to$ round any intermediate steps less than six decimal places.$)$

$a.$ What will your monthly payments $be?$

$b.$ What will your final payment $be?$