(a) A license under this chapter is valid for a term of one or two years as determined by board rule.
(a-1) The board by rule may adopt a system under which licenses expire on various dates during the year. The board shall adjust the final dates for payment, the dates for notice of nonpayment, and the dates for license cancellation accordingly.

(b) For the year in which the license expiration date is changed, license renewal fees payable not later than January 1 shall be prorated on a monthly basis so that each license holder pays only that portion of the license renewal fee allocable to the number of months during which the license is valid.
(c) On renewal of the license on the new expiration date, the total license renewal fee is payable.