Jeff is saving for his retirement $23$ years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $$110\mathrm{.}00$ at the end of each month for the next $14$ years. Interest is $6\%$ compounded monthly.

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

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

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

$($a$)$ The future value will be $ $.$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$