Departmental administrative contingency assessments must accrue and become payable by each employer who is subject to the assessments as defined in § 41-27-410 for each calendar year in which he is subject to Chapters 27 through 41 of this title with respect to wages for employment. The assessments are due and payable by each subject employer to the department for the departmental administrative contingency fund and are not deductible, in whole or in part, from the wages of individuals in the employer’s employ. No determination and assessments may be instituted more than four years after the last day of the month immediately following the calendar quarter for which the assessments were payable. The limitation period contained in this section does not apply to an employer that wilfully fails to file a departmental contingency assessment report pursuant to this section or pursuant to regulations promulgated by the department, or has knowingly made a false statement or has intentionally failed to disclose a material fact on a departmental contingency assessment report.