N.Y. Real Prop. Tax Law § 414

§ 414. Public housing, publicly assisted housing and limited-profit\nnursing homes. Real property owned by a municipal housing authority and\n"war demobilization emergency housing" shall be entitled to the\nexemption provided in the public housing law. Real property owned by a\nlimited-profit housing company, a limited dividend housing company or a\nhousing development fund company shall be entitled to the exemption\nprovided in the private housing finance law, except as otherwise\nprovided in section four hundred twenty-two of this chapter. Real\nproperty owned by a limited-profit nursing home company shall be\nentitled to the exemption provided in the public health law.\n