In order for insurance to cover an accident when the insured is not present, there will need to be comprehensive auto coverage. The facts of each such case definitely matter. If the driver is a relative, then most likely the absent insured’s insurance will cover the accident. The driver also needs to have had permission, express or implied, or the insured’s insurance may not cover the claim, unless the vehicle was stolen. Individual insurance companies and policies may vary in regard to these rules.
The main difference between collision and comprehensive coverage comes down to the question of what the driver controls. Collision insurance will cover events within a motorist's control or when another vehicle collides with your car. Comprehensive coverage generally falls under "acts of God or nature," or things that are typically out of your control when driving. These can include events such as a spooked deer, a heavy hailstorm, or a carjacking.

Collision coverage has a deductible, which is the amount you pay before your coverage helps pay for your claim. You can typically choose the amount of your deductible when you buy coverage. So, if you choose a $1,000 deductible and your car is later damaged in a covered accident, you'd have to pay $1,000 toward repair costs. Your collision coverage would help pay the rest, up to your coverage limit.
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