The easiest way is to get a quote for insurance in New Mexico and compare it to your current rates in North Carolina.
The differences between the states can be found on their respective CarInsurance.com State Pages. Here are some excerpts:
The State of North Carolina follows a Tort system meaning someone must be found to be at fault for causing the accident, and that person and their insurance company is responsible for all the damages.
North Carolina state law requires minimum Bodily Injury Liability coverage of $30,000 per injured person up to a total of $60,000 per accident, and Property Damage Liability coverage with a minimum limit of $25,000. This basic coverage is often referred to as 30/60/25 coverage.
The State of New Mexico follows a Tort system meaning someone must be found to be at fault for causing the accident, and that person and their insurance company is responsible for all the damages. You should be aware that the details of a tort system vary from state to state.
New Mexico state law requires minimum Bodily Injury Liability coverage of $25,000 per injured person up to a total of $50,000 per accident, and Property Damage Liability coverage with a minimum limit of $10,000. This basic coverage is often referred to as 25/50/10 coverage.
The average auto insurance premium for residents in North Carolina was $717 in 2003; the average auto insurance premium for residents in New Mexico was $912 in 2003.
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