Question $2(8$ marks$)$: A mortgage loan in the amount of $$150,000$ is arranged with annual interest $8\%$

compounded semi$-$annually. The loan is to be fully amortized in $25$ years with monthly payments.

Assume the term is $5$ years.

$($a$)(2$ marks$)$ What is the size of monthly payment?

$($b$)(3$ marks$)$ Calculate the interest and principal components for the $2$nd month.

$($c$)(1$ mark$)$What is the outstanding balance of the mortgage at the end of the $3$rd year?

$($d$)(2$ marks$)$What is the total amount of interests paid for the entire amortization period?