When all bonds and securities issued by the authority and all obligations assumed by it under the provisions of this article shall have been paid in full, the then president of the authority may thereupon execute and deliver in the name of, and in behalf of, the authority an appropriate deed or deeds, to which the seal of the authority shall be affixed and attested by the secretary of the authority, conveying all facilities, properties and other assets then owned by the authority to such agency of the state as shall be designated by the Governor. The then directors of the authority may at such time file with the Secretary of State a written statement, subscribed and sworn to by each of them, reciting the payment in full of all bonds theretofore issued by the authority and the execution and delivery of such deed or deeds, which statement shall be filed by the Secretary of State and recorded with the certificate of incorporation of the authority, and thereupon the authority shall stand dissolved.