Whether GEICO drops your coverage, increases the cost of your coverage, or keeps it the same depends on your individual situation. If you have been in multiple accidents or have a history of driving problems such as driving under the influence (DUI), violations, or failing to pay your premiums, your GEICO rates may increase based on those factors. Cancellation decisions are usually made case-by-case, and you would receive a letter from your insurance provider stating why it dropped you and any options to appeal.