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).
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. 
This cover is mandatory in India under the Motor Vehicles Act, 1988. This cover cannot be used for personal damages. This is offered at low premiums and allows for third party claims under “no fault liability. The premium is calculated through the rates provided by the Tariff Advisory Committee. This is branch of the IRDA (Insurance Regulatory and Development Authority of India). It covers bodily injury/accidental death and property damage.
More commonly purchased is third party, fire and theft. This covers all third party liabilities and also covers the vehicle owner against the destruction of the vehicle by fire (whether malicious or due to a vehicle fault) and theft of the insured vehicle. It may or may not cover vandalism. This kind of insurance and the two preceding types do not cover damage to the vehicle caused by the driver or other hazards.
Several Canadian provinces (British Columbia, Saskatchewan, Manitoba and Quebec) provide a public auto insurance system while in the rest of the country insurance is provided privately [third party insurance is privatized in Quebec and is mandatory. The province covers everything but the vehicle(s)]. Basic auto insurance is mandatory throughout Canada with each province's government determining which benefits are included as minimum required auto insurance coverage and which benefits are options available for those seeking additional coverage. Accident benefits coverage is mandatory everywhere except for Newfoundland and Labrador. All provinces in Canada have some form of no-fault insurance available to accident victims. The difference from province to province is the extent to which tort or no-fault is emphasized. International drivers entering Canada are permitted to drive any vehicle their licence allows for the 3-month period for which they are allowed to use their international licence. International laws provide visitors to the country with an International Insurance Bond (IIB) until this 3-month period is over in which the international driver must provide themselves with Canadian Insurance. The IIB is reinstated every time the international driver enters the country. Damage to the driver's own vehicle is optional – one notable exception to this is in Saskatchewan, where SGI provides collision coverage (less than a $1000 deductible, such as a collision damage waiver) as part of its basic insurance policy. In Saskatchewan, residents have the option to have their auto insurance through a tort system but less than 0.5% of the population have taken this option.
State legislators set limits on how much a company can increase your rates after a crash. Our hypothetical accident resulted in only $2,000 worth of damage. That caused average annual rates to spike by $1,000 or more in some states, while others jumped by far less. One thing’s for sure: Your rates will definitely increase after an at-fault accident, so be sure to compare car insurance rates if you have one on record.
When the premium is not mandated by the government, it is usually derived from the calculations of an actuary, based on statistical data. The premium can vary depending on many factors that are believed to affect the expected cost of future claims. Those factors can include the car characteristics, the coverage selected (deductible, limit, covered perils), the profile of the driver (age, gender, driving history) and the usage of the car (commute to work or not, predicted annual distance driven).
In most U.S. states, moving violations, including running red lights and speeding, assess points on a driver's driving record. Since more points indicate an increased risk of future violations, insurance companies periodically review drivers' records, and may raise premiums accordingly. Rating practices, such as debit for a poor driving history, are not dictated by law. Many insurers allow one moving violation every three to five years before increasing premiums. Accidents affect insurance premiums similarly. Depending on the severity of the accident and the number of points assessed, rates can increase by as much as twenty to thirty percent. Any motoring convictions should be disclosed to insurers, as the driver is assessed by risk from prior experiences while driving on the road.