(22) Where by reason of the financing plan a review of the application for financing the proposed housing is required by or on behalf of any department, agency or instrumentality of the United States or this state, to provide, contract or arrange for consolidated processing of any such application to avoid duplication thereof by either undertaking the processing in whole or in part for any such department, agency or instrumentality or, in the alternative, delegating the processing in whole or in part to any such department, agency or instrumentality;
(23) To sell, at public or private sale, with or without bidding, any mortgage or other obligation held by the authority;
(24) To insure mortgage payments of any mortgage loan made for the purpose of constructing, rehabilitating, purchasing, leasing, or refinancing housing, upon such terms and conditions as the authority may prescribe;
(25) To enter into mortgage insurance agreements with lending institutions in connection with the lending of money by such institutions for the purchase of housing;