The decision to purchase life insurance in your 60s depends mainly on your individual circumstances. Although there are compelling reasons to invest in a policy, it's not a clear-cut choice for everyone. It may make sense if you have financial dependents or a lot of debt that will need to be paid off if you pass away.
Keep in mind that premiums rise significantly with age and health conditions, but comparing quotes can help you find affordable policies for people in their 60s.