(a) With respect to a de minimus property tax totaling less than five dollars ($5.00) as calculated for a duly assessed parcel of real property, if authorized by a private act, resolution, or ordinance levying the tax, the county trustee or other property tax collecting official may:

(1) Decline to bill the tax;
(2) Decline to refer the tax for further collection; or
(3) Abate any penalty or interest otherwise due for late payment of the tax.
(b) The tax collecting official shall maintain a list of de minimus taxes by parcel and by year, and the tax may be collected when a tax related to the same parcel is tendered for a later year; provided, that such collection is not barred by any applicable statute of limitations.