Sec. 9.02. TIME FOR PAYMENT TO SURVIVORS; PAYMENT TO ESTATE. Benefits to a surviving spouse, dependent child, or dependent parent under this Act are payable on the first day of each month beginning with the month following the month in which the death of the member or former firefighter occurs. After all payments cease, any amount by which the member's or former firefighter's total accumulated contributions at the date of that person's death exceed the amount of all retirement and death benefits paid by the fund as a result of the person's participation in the fund is payable to the estate of the member or former firefighter.