When investment or bank account holders die or leave their accounts dormant for a long period, the money is turned over to state treasurers. Terms vary from state to state the waiting period is three years in Pennsylvania and New Jersey — and heirs may apply to get it back. Pennsylvania’s Treasury returned more than $200 million in escheated funds to Pennsylvanians in each of the past two years, according to a department spokesperson. There is no statute of limitations.