(a) The board of trustees shall keep in convenient form such data as shall be necessary for actuarial valuations of the various funds of the retirement system and for checking the experience of the retirement system.

(b) The board of trustees shall keep a record of all of its proceedings, which record shall be open to public inspection. It shall publish annually a report showing the fiscal transactions of the retirement system for the preceding year, the amount of the accumulated cash and securities of the retirement system, and the last balance sheet showing the financial condition of the retirement system by means of an actuarial valuation of the contingent assets and liabilities of the retirement system.