§ 57-a. Change in duration of licenses. The liquor authority is authorized to change the periods during which the licenses authorized by sections fifty-three-a, fifty-four, fifty-five and fifty-five-a shall be effective and to establish the commencement dates, duration and expiration dates thereof, provided that no such license shall be effective for a period in excess of three years. When any change or changes are made in the duration of any such license, the license fee shall be equal to the annual license fee specified in this article multiplied by the number of years for which such license is issued. The liquor authority may make such rules as shall be appropriate to carry out the purpose of this section.