In lieu of the bond required by section 15-846, any bank, capital stock financial institution, or qualifying mutual financial institution making application to become a depository may give security as provided in the Public Funds Deposit Security Act to the city treasurer. The penal sum of such bond or the sum of such security may be reduced in the amount of such deposit insured or guaranteed by the Federal Deposit Insurance Corporation. 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.