(f) The State Treasurer is hereby authorized to issue a collateralized direct guarantee of the state of punctual payment thereof from the General Fund and carrying the full faith and credit pledge of the state for any investment of the authority or financial guarantee purchased by the authority to the extent such investment or financial guarantee has a rating equal to or better than that of the state provided the state is fully secured by a collateral assignment of such investment or financial guarantee and such investment or financial guarantee qualifies as an investment by the Short-Term Investment Fund under section 3-27a. The amount necessary to honor such state collateralized guarantee is hereby deemed appropriated from the General Fund and the Treasurer is authorized and directed to sell and collect on the security of the collateral so assigned and to pay such amount to the authority. Such state collateralized guarantee shall not constitute indebtedness of the state for the purposes of any debt limit of other statutory purpose and shall be only placed on any such investment or financial guarantee to permit the authority to maximize its investment opportunities and to meet its responsibilities under the requirements of its general housing mortgage finance program bond resolution adopted September 27, 1972, as amended, provided the State Treasurer determines that the collateral is at least sufficient to offset the full amount of the state guarantee. The State Treasurer shall be entitled to such supporting documents as necessary or appropriate from the authority prior to placing such collateralized guarantee on any such investment.