Justin is saving for his retirement $22$ years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $ $108\mathrm{.}00$ at the end of each year for the next $15$ years. Interest is $12\%$ compounded annually.

$($a$)$ How much money will be in his account on the date of his$$ retirement?

$($b$)$ How much will Justin $$contribute$?$

$($c$)$ How much will be$$ interest?