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IN NEW YORK: Family Court Chapter,Article 13 Section 240
(2) "Child support" shall mean a sum to be paid pursuant to court
order or decree by either or both parents or pursuant to a valid agree-
ment between the parties for care, maintenance and education of any
unemancipated child under the age of twenty-one years
FROM FREEADVICE.COM HOMEPAGE FAMILY LAW CHILD SUPPORT SECTION
WHEN CAN A CHILD SUPPORT ORDER BE CHANGED OR MODIFIED?
An order for child support can be changed or modified any time there is a "material change in circumstances" from the time that the existing child support was issued. A material change in circumstances can take many forms. The change can be the result of changes in the parent's financial situation - such as appreciable difference in the amount of income earned, loss of a job, a large inheritance, or a change in the amount of time spent with the child. The material change in circumstance can be the result of a new situation for the child - such as large medical expenses, need for special education, or other unexpected requirements. A child support payment could be modified by stipulation between the parents (as long as guideline support factors have been accounted for) or by a noticed court hearing.
WHAT ABOUT PAYING FOR COLLEGE OR PRIVATE SCHOOL EXPENSES?
Whether parties in a divorce must pay the expenses of their child(ren)’s college education depends on the law in the state where the parents live and any agreement between the couple. Parents are not required to pay for higher education in some states while in others they are. Whatever the law may be, though, the spouses can agree work out educational costs as part of their divorce settlement.