A debt of $$$$31000$ is repaid over $8$ years with payments occurring semi anually. Interest is $12\%$compounded monthly.

$($a$)$ What is the size of the periodic$$ payment?

$($b$)$ What is the outstanding principal after payment $?$

$($c$)$ What is the interest paid on payment $?$

$($d$)$ How much principal is repaid in payment $?$