(a) If property other than money is delivered to the administrator under this article, the owner is entitled to receive from the administrator any income or gain realized or accruing on the property at or before liquidation or conversion of the property into money only as provided in this subsection:
(1) If the property was an interest bearing demand, savings or time deposit, including a deposit that is automatically renewable, the administrator shall pay interest at a rate of four percent per year or any lesser rate the property earned at the time the property was delivered to the administrator.