If you are covered by your employer and you leave your job or lose your job, your employer must offer you COBRA, which is a continuation of your medical benefits. Normally, you can stay on a COBRA plan for up to 18 months. Once you are no longer employed by your company, the medical benefits contributions will no longer apply, meaning you will have to pay the full cost of medical insurance yourself to the medical plan. The cost per month can vary, but will be clearly listed on your COBRA letter which outlines this service. You will receive your COBRA letter shortly after your last day of employment.