The health insurance commissioner may contract with an actuary and/or other subject matter experts to assist him or her in conducting the study required under subsection 42-14.5-3(g). The actuary or other expert shall serve under the direction of the health insurance commissioner. Health insurance companies doing business in this state, including, but not limited to, nonprofit hospital service corporations and nonprofit medical service corporations established pursuant to chapters 27-19 and 27-20, and health maintenance organizations established pursuant to chapter 27-41, shall be assessed according to a schedule of their direct writing of health insurance in this state to pay for the compensation of the actuary. The amount assessed to all health insurance companies doing business in this state for the study conducted under subsection 42-14.5-3(g) shall not exceed a total of one hundred thousand dollars ($100,000).