Backdated Insurance Coverage. Because of how this process works, it may not be ideal for everyone. If your monthly premium is $200 per month, and you start your policy in the middle of the company's billing cycle you would pay $100 for that time.
I've seen letters in the past from companies that say they can backdate coverage as soon as they discover you're not insured. While you can't get a backdated car insurance policy, you may be able to paper over a lapse in coverage by getting your old policy reinstated. Coverage changes are usually effective the day or day after contacting the insurance provider.