There is hereby created the Mississippi Home Corporation Oversight Committee. Such oversight committee shall consist of five (5) Senators appointed by the President of the Senate and five (5) Representatives appointed by the Speaker of the House of Representatives, who shall serve in an advisory capacity to the corporation. The members thereof shall report the actions of the corporation to the appropriate legislative committees. The oversight committee shall have no jurisdiction or vote on any matter within the jurisdiction of the corporation. When the Legislature is not in session, members shall be paid per diem and all actual and necessary expenses, including mileage expenses, from their respective contingent expense funds at the rate authorized for committee meetings when the Legislature is not in session; however, no per diem and expenses will be paid when the Legislature is in session. The terms of the members of the oversight committee shall expire at the end of their terms of office.