Yes, motor insurance is transferable to the purchaser of the automobile. All you have to do is inform in writing about the transfer to its insurance provider. The original owner of the car needs to fill out a new proposal form. A nominal fee is charged for the insurance transfer along with the recovery of No Claim Bonus from the transfer date till policy expires on a pro-rata basis.
Auto insurance is financial protection, and not just for the investment you made when you bought your car. After a really serious accident, bills for damage and injuries can easily reach into hundreds of thousands of dollars. If you happen to cause such a wreck, the victims could sue you. In the worst case scenario, assets such as your savings and home could be seized.