Insurance companies are changing their insurance rates all the time. Sometimes they raise them when there have been a large number of claims, and sometimes they lower rates when they are looking to pick up more clients. What all of this amounts to is that a cheap policy might just represent a market shift or a change in the needs of a particular company. In other words, don’t just give the hairy eyeball to all cheap rates; seek them out. Just make sure that the policy represents your needs well.
Minimal insurance policies cover only third parties (including the insured person and third parties carried with the vehicle, but not the driver, if the two do not coincide). Also the third parties, fire and theft are common insurance policies, while the all inclusive policies (kasko policy) which include also damages of the vehicle causing the accident or the injuries. It is also common to include a renounce clause of the insurance company to compensate the damages against the insured person in some cases (usually in case of DUI or other infringement of the law by the driver).
Third-party vehicle insurance is mandatory for all vehicles in Hungary. No exemption is possible by money deposit. The premium covers all damage up to HUF 500M (about €1.8M) per accident without deductible. The coverage is extended to HUF 1,250M (about €4.5M) in case of personal injuries. Vehicle insurance policies from all EU-countries and some non-EU countries are valid in Hungary based on bilateral or multilateral agreements. Visitors with vehicle insurance not covered by such agreements are required to buy a monthly, renewable policy at the border.
In South Australia, since July 2016, CTP is no longer provided by the Motor Accident Commission.The government has now licensed four private insurers - AAMI, Allianz, QBE and SGIC, to offer CTP insurance SA. The scheme allocates one provider for 3 years as part of vehicle registration. After July 2019, vehicle owners can choose a different CTP insurer and new insurers may also enter the market. 
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.