The tax abatement depends on what the developer was able to negotiate with the City before they built the property. Sometimes the developer only has a small window of opportunity to apply for the abatement.
I recommend calling the West New York Tax Assessor's Office at (201) 295-5116. They will be able to explain to you how the abatement program works and if a specific property you are interested in qualified for the abatement.
Please let me know if you have any additional questions.
All the best in your home search,
Walter J. Burns
1 Newark St.
Hoboken, NJ 07030
201-653-8488 Ext: 230