Texas Finance Code - FIN § 304.005. Accrual of Judgment Interest

(a) Except as provided by Subsection (b), postjudgment interest on a money judgment of a court in this state accrues during the period beginning on the date the judgment is rendered and ending on the date the judgment is satisfied.

(b) If a case is appealed and a motion for extension of time to file a brief is granted for a party who was a claimant at trial, interest does not accrue for the period of extension.