The secretary-treasurer may deposit in any bank, capital stock financial institution, or qualifying mutual financial institution of the local hospital district in which he or she is secretary-treasurer amounts in excess of amounts authorized in section 77-2375 when (1) the depository secures the deposits by giving security as provided in the Public Funds Deposit Security Act and (2) the same is approved by a formal resolution of the board of directors. Section 77-2366 shall apply to deposits in capital stock financial institutions. Section 77-2365.01 shall apply to deposits in qualifying mutual financial institutions.