(a) Notwithstanding the fact that all taxes on property have not been paid in full, the owner of that property may bring an action under Section 5140 at any time within six months after the rejection of a claim for the first installment under an installment plan of redemption pursuant to Article 2 (commencing with Section 4216) of Chapter 3 of Part 7, if the following requirements are satisfied:

1. (1) The first installment payment is made within six months of the delinquency of the taxes being paid by installments.
2. (2) If the balance of the unpaid tax liability remaining after the first installment payment has been made, plus penalties and interest thereon to the date of filing the actions, exceeds 662/3 percent of the full value of the property on which the taxes are a lien, as of the last equalized assessment roll, the taxpayer shall post a bond with the county tax collector in a sum equal to that excess or, in the alternative, pledge other property with the county tax collector in that amount as security. The requirement for a bond or additional security specified in this paragraph shall terminate when the balance of unpaid tax liability remaining after a subsequent installment payment, plus penalties and interest thereon to the date of such subsequent installment payment, no longer exceeds 662/3 percent of the full value of the property on which the taxes are a lien, as of the last equalized assessment roll. However, a new bond shall be posted or property pledged if, during the pendency of the action, the balance of unpaid tax liability, plus penalties and interest thereon, again exceeds 662/3 percent of the full value.