N.Y. Insurance Law § 4304
(c) Any such contract may be terminated in the following manner:
(2) At the option of the corporation, for one or more of the following reasons:
(d)
(1)
(e)
(1)
(i) Any persons covered by the contract who are also members of a reserve component of the armed forces of the United States, including the National Guard, shall be entitled, upon written request, to have their coverage suspended during a period of active duty as described herein. The contract shall provide that the insurer will refund any unearned premiums for the period of such suspension. Persons covered by the contract shall be entitled to resumption of coverage, upon written application and payment of the required premium within sixty days after the date of termination of the period of active duty, with no limitations or conditions imposed as a result of such period of active duty except as set forth in paragraphs one and two herein. Coverage shall be retroactive to the date of termination of the period of active duty. Such right of resumption provided for herein shall be in addition to other existing rights granted pursuant to state and federal laws and regulations and shall not be deemed to qualify or limit such rights in any way. No exclusion or waiting period may be imposed in connection with coverage of a health or physical condition of a person entitled to such right of resumption, or a health or physical condition of any other person who is covered by the contract unless:
(j) To be entitled to the right defined in subsection (i) of this section a person must be a member of a reserve component of the armed forces of the United States, including the National Guard, who either:
(k) A contract for which the premiums are paid by a remitting agent of a group issued by a hospital service, health service or medical expense indemnity corporation shall provide that if all or any portion of the insurance on an employee or member insured under the contract ceases because of termination of employment or membership in the class or classes eligible for coverage under the contract, such employee or member shall be entitled without evidence of insurability upon application to continue his or her insurance for himself or herself and his or her eligible dependents, subject to all of the group remittance contract's terms and conditions applicable to those forms of benefits and to the following conditions:
(2)
(4) Subject to paragraph one of this subsection, continuation of benefits under the group remittance contract for any person shall terminate at the first to occur of the following:
(m)
(2) In addition to the conversion privilege afforded by subsection (e) of this section and the continuation privilege afforded by subsections (e) and (k) of this section, a hospital service, health service or medical expense corporation or health maintenance organization that provides hospital, medical or surgical expense insurance coverage for which the premiums are paid by the remitting agent of a group that provides coverage of a child that terminates at a specified age shall, upon application of the employee, member or child, as set forth in subparagraph (B) of this paragraph, provide coverage to the child after that specified age and through age twenty-nine without evidence of insurability, subject to all of the terms and conditions of the group remittance contract and the following: