Alar is $36$ years old today and wants to retire in $30$ years $($at age $66).$ If he begins depositing $$100$ at the end of each month until retirement and then begins withdrawing funds monthly while living in Jamaica, how much are the monthly withdrawals if he needs them for $15$ years after retirement and figures interest rates will be $13\mathrm{.}2\%$ compounded monthly for the entire question?