How long your DUI will affect your insurance rates depends on both your insurance company guidelines and your state's regulations. States vary on how long a DUI or DWI remains on your driving record. It may remain on your MVR for as little as a few years to as many as 10 depending on the state and the circumstances regarding your DUI. As long as the violation is on your DMV record it is likely to affect your insurance rates.
Each insurance company has its own method of evaluating and rating people. To find out how long your DUI is going to stay on your MVR contact your DMV and to find out how long your current insurance company will continue to rate at a higher rate contact your insurance agent.
You might find out that you want to shop around for insurance coverage to find a lower rate with a new insurance company.