(a) If judgment for a claimant is equal to or less than the amount of a settlement offer of the defendant, prejudgment interest does not accrue on the amount of the judgment during the period that the offer may be accepted.
(b) If judgment for a claimant is more than the amount of a settlement offer of the defendant, prejudgment interest does not accrue on the amount of the settlement offer during the period that the offer may be accepted.
Official text of the Texas Finance Code as published by the Texas Legislative Council.