At the time of retirement any officer, member or employee of the police department who has at least twenty years of active service in the department may elect to have his unused accumulated sick leave which was earned while a member of this retirement system added to his membership service in the system the same as if he had continued in service with the department until after the date of termination of employment. In such case the addition shall be on the basis of one work day for each eight hours of unused sick leave. Fractional days of one-half or more shall be counted as one day, but fractional days of less than one-half day shall be disregarded.
La. Consolidated Public Retirement § 11:3650