The director of administration may determine what directors or heads of departments and subordinate officials shall be bonded, either by a surety bond covering an individual employee or by position schedule bonds covering any group or groups of employees or positions or both. All clerks of courts shall be bonded either by a surety bond covering an individual employee or by position schedule bonds covering any group or groups of employees or positions, or both. These surety bonds and position schedule bonds shall be at the expense of the state and in such amounts and for such terms and in such form as the director of administration may determine and may at the discretion of the director of administration be underwritten as a result of competitive bidding.