The judge shall turn over all custodial property held pursuant to this chapter to:

(1) A conservator if the custodial funds exceed $15,000.00;

(2) A minor upon reaching the age of majority;

(3) A former incapacitated adult upon restoration to capacity;

(4) The personal representative of a deceased minor or incapacitated adult; or

(5) The Department of Revenue four years after the death of a minor or incapacitated adult if no proceedings are commenced on that individual’s estate or four years after the date a minor who cannot be located would have reached the age of majority.