For many people, changing medicare supplement companies is a very simple thing to do. The first things a person would want to consider are the medicare supplement insurance plan designs and the monthly premiums. These should be compared with what the insured has through the current company. Usually, the reason a change is considered is because the insured has received a rate increase and wants to shop other options. If a plan is found where the benefits and monthly premium makes sense compared to the current medicare supplement, the next step is underwriting. Insurance companies often look back about two years at the individual's health history. If there has not been treatment for major health problems (internal cancer, transient ischmetic attack, stroke, for example), during that time, you should talk with an agent about the options that are available.