According to InsuranceQuotes, someone with full coverage, including collision and state-mandated liability costs, is likely to see a 34 - 41% rise in their car insurance costs after filing a claim. An at-fault car accident could raise your premium from $1,000 a year to $1,410 per year.  Rates vary depending on where you live. In some regions, it may actually be higher.
In Georgia, the average annual premium of $801/year could increase by an average of 39% to $1,109/year due to one car accident if you were at fault. These rate changes also vary based on your insurance company. This can cause an increase as high as 73% in your annual premiums the year after your car accident. State Farm was found to have the lowest average premium change of 23%, while Progressive had the highest with a 73% increase.