(a) Allowance of credit. —
(1) A low-income person who is allowed a $20,000 homestead exemption from the assessed value of his or her homestead for ad valorem property tax purposes, as provided in section three, article six-b of this chapter, shall be allowed a refundable credit against the taxes imposed by this article equal to the amount of ad valorem property taxes paid on up to the first $10,000 of taxable assessed value of the homestead for property tax years that begin on or after January 1, 2003, except as provided in subdivision (2) of this subsection.