(a) In an order or resolution authorizing the issuance of refunding bonds, the commissioners court may provide that proceeds from the sale of the bonds are to be deposited with the person at whose location the bonds to be refunded are payable.
(b) If the authorization includes a provision authorized by Subsection (a), the commissioners court may issue the refunding bonds before the cancellation of the bonds to be refunded. The commissioners court shall deposit with the person at whose location the bonds to be refunded are payable an amount sufficient to pay the principal of those bonds and interest on those bonds accruing to the maturity date or to the option date if the bonds have been called for payment before maturity according to their terms.

(c) The comptroller shall register refunding bonds issued under this section without the surrender and cancellation of the bonds to be refunded.