(30) To do all acts and things necessary or convenient to carry out the purposes of this chapter and the powers expressly granted by this chapter;
(31) To make construction loans secured by a first mortgage to persons for the project costs of subdivision development, upon a finding by the authority that the permanent mortgages are to be used for a housing project and that the construction loan shall include an agreement between the authority and such person which shall establish such restrictions and safeguards as the authority shall deem appropriate and necessary: (1) To assure that savings and benefits realized by such person are reflected in the transfer of title to the mortgagor of such housing whereby said mortgagor is guaranteed full realization of the financial benefit of such savings, or (2) to return to the authority the savings and benefits realized by such person in the event the permanent mortgages are not made to a mortgagor;
(32) To make commitments to purchase, and to purchase, service and sell mortgages and to make loans directly upon the security of any mortgage, or to purchase and sell Federal Home Loan Mortgage Corporation participation sale certificates, Government National Mortgage Association mortgage-backed securities or other similar securities which are insured by any department, agency or instrumentality of the United States of America or public corporation chartered by Congress during the maximum yields reasonably obtainable for the purpose of generating income to the authority which will enable the authority to provide a lower interest rate than is presently possible for families of low and moderate income. Income limitations adopted by the authority shall not apply to mortgages or securities purchased pursuant to this subsection;