Teenage drivers who have no driving record will have higher car insurance premiums. However, young drivers are often offered discounts if they undertake further driver training on recognized courses, such as the Pass Plus scheme in the UK. In the US many insurers offer a good-grade discount to students with a good academic record and resident-student discounts to those who live away from home. Generally insurance premiums tend to become lower at the age of 25. Some insurance companies offer "stand alone" car insurance policies specifically for teenagers with lower premiums. By placing restrictions on teenagers' driving (forbidding driving after dark, or giving rides to other teens, for example), these companies effectively reduce their risk.
Auto insurance is financial protection, and not just for the investment you made when you bought your car. After a really serious accident, bills for damage and injuries can easily reach into hundreds of thousands of dollars. If you happen to cause such a wreck, the victims could sue you. In the worst case scenario, assets such as your savings and home could be seized.