Vehicle insurance can cover some or all of the following items:

• The insured party
• The insured vehicle
• Third parties (car and people)
• In some States coverage for injuries to persons riding in the insured vehicle is available without regard to fault in the auto accident (No Fault Auto Insurance)

Different policies specify the circumstances under which each item is covered. For example, a vehicle can be insured against theft, fire damage, or accident damage independently.

(wikipedia)

Auto insurance protects you against financial loss if you have an accident. It is a contract between you and the insurance company. You agree to pay the premium and the insurance company agrees to pay your losses as defined in your policy. Auto insurance provides property, liability and medical coverage:
(1) Property coverage pays for damage to or theft of your car.
(2) Liability coverage pays for your legal responsibility to others for bodily injury or property damage.
(3) Medical coverage pays for the cost of treating injuries, rehabilitation and sometimes lost wages and funeral expenses.

An auto insurance policy is comprised of six different kinds of coverage. Most states require you to buy some, but not all, of these coverages. If you’re financing a car, your lender may also have requirements.

Most auto policies are for six months to a year. Your insurance company should notify you by mail when it’s time to renew the policy and to pay your premium.

Insurance, in law and economics, is a form of risk management primarily used to hedge against the risk of a contingent loss. Insurance is defined as the equitable transfer of the risk of a loss, from one entity to another, in exchange for a premium, and can be thought of a guaranteed small loss to prevent a large, possibly devastating loss. An insurer is a company selling the insurance. The insurance rate is a factor used to determine the amount, called the premium, to be charged for a certain amount of insurance coverage. Risk management, the practice of appraising and controlling risk, has evolved as a discrete field of study and practice.
(wikipedia)