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The State of New York provides for interest on missed payments and adjudicated arrears at a rate of 9% per year, but only on arrears reduced to a money judgment by the courts. This was started in 1987. The judge can retro act interest if there was a judgment already granted. If this was a new judgment based on retro support then no interest would not be applied. If you have had this order for support for some time you will need to get it to a money judgment in the court so interest can be applied.
In New York, child support arrears enforcement is limited to 20 years from date of default in payment regardless of whether or not the past due has been reduced to a judgment. So if it is getting close to 20 years from the point he went into default you will want to get this order in quickly.