At any time upon petition of the absentee, or upon the petition of a duly constituted attorney-in-fact of the absentee, if the court is of the opinion that such power of attorney is valid, the court shall terminate the conservatorship and shall transfer all property held for such absentee to him, or to such attorney-in-fact. However, if the court finds that during the pendency of the conservatorship the absentee has died, and an administrator or executor has been appointed for the absentee’s estate, the court shall order the conservator to settle the accounts of his transactions before the court and shall direct the payment or transfer of such estate then remaining to the administrator or executor.