When the principal of and interest on bonds issued by the authority to finance the cost of facilities or to refinance the outstanding indebtedness of one or more participating educational institutions or cultural institutions, including any refunding bonds issued to refund and refinance such bonds, have been fully paid and retired or when adequate provision has been made to fully pay and retire the same and when all other conditions of the resolution, the lease, the trust indenture, and the mortgage, deed of trust, or other form of security arrangement, if any, authorizing and securing the same have been satisfied, the authority shall promptly do all things and execute such deeds, conveyances, and other documents as are necessary and required to release the lien of such mortgage, deed of trust, or other form of security arrangement in accordance with the provisions thereof and to convey its right, title, and interest in such facilities so financed, and any other facilities leased or mortgaged or subject to a deed of trust or any other form of security arrangement to secure the bonds, to such participating educational institution or cultural institution.