A fixed$-$rate mortgage of $$300,000$ is arranged with an annual rate $6\%.$ The loan is

to be fully amortized in $25$ years with monthly payments. The term is $3$ years.

$($a$)$ What is the compounding frequency of the mortgage?

$($b$)$ What is the outstanding balance of the mortgage at the end of the term?

$($c$)$ What is the total amount of interest payments made over the entire amortization

Period?

$($d$)$What is the interest component made for the $3$rd month? Principal component for the same month?