Following a car accident, it is likely that your auto insurance premiums will increase. The exact amount of the increase depends on several factors such as the severity of the accident, who was at fault, your driving history, and the specific insurance company you are with. Generally, if you are found at fault for the accident, your premiums are more likely to increase. However, even if you are not at fault, your premiums may still go up if the accident resulted in significant damage or injuries. Insurance companies use complex algorithms to assess risk and determine premium rates, so it is difficult to provide an exact figure. It is advisable to contact your insurance provider directly to get an accurate estimate of how much your premiums will increase after an accident.