A student invests a principal of $$4000$ in a bank account which offers a return of $8\%$ annual interest for $3$ years.

Determine the future value if interest is compounded

$($a$)$ annually

$($b$)$ quarterly

$($c$)$ monthly

$($d$)$ daily

$[$In part $($d$)$ you may assume that there are $360$ days in a year.$]$