uch retiree and to the retiree’s survivor or survivors, provided that there shall be no unused contributions in the event that the retiree or any survivors received a retirement allowance pursuant to which no refund of contributions is payable upon the death of the retiree or the retiree’s survivor. The spouse or domestic partner who is receiving a retirement allowance as a result of the retiree’s death, referred to as a survivor for purposes of this provision, may file a beneficiary designation with the Board of Administration naming a beneficiary or beneficiaries for any accrued but unpaid allowance payable upon the survivor’s death and, subject to the limitations set forth below, for the deceased’s unused contributions. Upon the survivor’s death, any accrued but unpaid allowance due the survivor shall be paid in the following order: (i) to the survivor’s designated beneficiaries; (ii) if none, to the children of the survivor; (iii) if no children, to the parents of the survivor; or (iv) if no parents, to the executor or administrator of the estate of the survivor or to any other person or legal entity legally entitled to collect money due to the survivor. Should the survivor leave no one legally entitled to collect any accrued allowance, it shall be paid in the following order: (i) to the deceased retired member’s children; or (ii) if none, to the deceased retired member’s parents; or (iii) if none, to the executor or administrator of the estate of the retired member or to any other person or legal entity legally entitled to collect money due to the deceased retired member. If the deceased member has failed to designate a beneficiary for the unused contributions or if the beneficiaries so designated by the deceased member have all predeceased the survivor, then upon the death of the survivor, the Board of Administration shall pay the unused contributions pursuant to the survivor’s beneficiary designation on file with the Board. In the event the survivor has no beneficiary designation on file or the named beneficiaries have all predeceased the survivor, then the unused contributions shall be paid in the following order: (i) to the deceased member’s children; or (ii) if none, to the deceased member’s parents;