The owners of property liable to pay assessments have the right to pay such assessments, together with interest thereon as provided by the proceedings and statute under which the outstanding bonds were issued. If the owners of property against which assessments remain unpaid so elect, by written notice given to the legislative body at any time prior to the hearing on the refunding and reassessment they may continue to pay assessments as provided by the proceedings and statute under which the outstanding bonds were issued. The notice shall describe the property upon which the owner elects to continue to pay sufficiently to identify it.