Yes. Its called the gap. Get Gap insurance.

GAP insurance pays the value of the car minus liens applied to it and only pays in the event of a total loss. If you can get coverage that covers damage (as well as total loss), this would be better. If your liens are substantial in relation to the value of the car, then GAP insurance is not worth it.

Yes, But only if there is a gap in the final loss payment by the underlying auto insurance policy.

If there is no underlying Auto Insurance theft coverage then the Gap Policy is null and void and no coverage would ensue.

GAP insurance helps cover the difference if your car is deemed a total loss and is worth less than what you owe on the loan. GAP insurance only runs out when you pay down your loan enough that you have equity in the vehicle.

Gap insurance refers to insurance which covers the gap between new car replacement and the current value of the car. It eliminates the risk of a car insurer not paying out enough in the event of a loss.