From and after January 1, 1974, three thousand dollars ($3,000.00) of the assessed value of residence homesteads as defined by law of persons who have attained the age of sixty-five (65) years on or before January 1st of each year for which the exemption is claimed shall be exempt from city ad valorem taxes; [provided, however, where the ad valorem taxes have been] pledged for the payment of any debt, the taxing officers of the city shall have authority to continue to levy and collect the tax against the homestead property at the same rate as the tax so pledged until the debt is discharged, if the cessation of the levy would impair the obligation of the contract by which the debt was created.
(1995 Code, sec. 1.1303)