Understand your options when the insurance company makes a lowball injury settlement offer, and see a claimant's sample response letter. Victims who want to respond to a low settlement demand offer must use factual information, persuasive arguments, and a professional tone.In this article, find out the proper way to do this. If you decide to reject the settlement offer, you'll need to do so in writing. Settlement value of personal injury car accident case in New Jersey. Statistics and sample settlements and verdicts with 2024 updates. Settlement value of personal injury car accident case in New Jersey. Statistics and sample settlements and verdicts with 2024 updates. Learning Objectives. 83. Official website of the Commonwealth of Massachusetts.