In order that the fiscal affairs of the counties and cities in the state may be placed on a cash basis, each such unit is authorized and empowered to issue at one (1) time or from time to time bonds of the unit for the following purposes:
(1) Funding any or all warrants, notes or other indebtedness of such unit not evidenced by bonds, and interest accrued thereon, which shall be outstanding at the close of the fiscal year immediately preceding the authorization of such funding bonds;
(2) Refunding any or all bonds of the unit, and interest accrued thereon, whether such unit issued such bonds or assumed or became liable therefor, including bonds not matured if the unmatured bonds be then redeemable or if the holders thereof be willing to surrender the same for retirement, and including bonds belonging to the sinking fund of such unit; and
(3) Paying any redemption premium upon bonds so refunded and also such expenses as the governing body may deem reasonable and proper for carrying out this chapter.