Your unemployment benefits are income for the purposes of I-864. Besides, you do not need to rely on your income to qualify as your parents' sponsor: if you list your savings as your assets on the Form I-864, $150000 will cover the poverty guidelines for a family size up to 4 persons (including the sponsored immigrants, in this case, your parents). The formula is income + 20% of assets; the total must be equal or more than the current federal poverty guideline for your family size.
Answered on Jan 24th, 2013 at 10:26 PM