(a) The licensing year of this chapter shall begin on February 1, and each license issued shall be valid until the next February 1, at which time all licenses shall be renewed for one year.
(b) The fee for licenses taken out between February 1 of any year and January 31 of the next year shall be prorated on a calendar monthly basis, the nearest first day of a month to determine the number of months upon which the fee shall be based.