Except as otherwise provided in this section, all privilege licenses issued pursuant to this chapter from and after July 1, 1988, shall expire on September 30 of each year; the privilege tax for a license which is issued for a period of less than one (1) year shall be prorated according to the length of time intervening between the date of its issuance and the following September 30.
A municipality or county may, by ordinance, determine to issue privilege licenses which shall expire one (1) year from the date of issuance.