At the cessation of business of an SPFC following termination or cancellation of an SPFC contract and the redemption of any related securities issued in connection with the SPFC contract, the authority granted by the commissioner expires or, in the case of retiring and surviving protected cells, is modified, and the SPFC is no longer authorized to conduct activities unless and until a new or modified certificate of authority is issued pursuant to a new filing under this part or as agreed by the commissioner.