If Your Car Is Less Valuable – Or you feel that you are an extremely careful driver. And are unlikely to have an accident which is your fault. You can opt for Third Party Third Party Fire or Third Party Only cover. But often it’s not any cheaper. Insurance companies found that many drivers on lower cover tend to be the highest risk (mainly young drivers). They are more likely to make a claim and perhaps don’t take as much care with their cars. So do get quotes for all covers.
I was with Liberty Mutual for about 15 years and was very satisfied with their prices and service, although I never filed a claim. When I retired and moved from California to Florida, my auto rate went up a ridiculous amount, to almost $10,000 a year even though I had no accidents and one minor moving violation in the last ten years. On top of that, Liberty Mutual screwed up my umbrella policy and told me it was “unenforceable,” whatever that means, but I had to pay for the policy anyway up to the time I canceled and switched to Progressive, which cost about one third the cost of Liberty Mutual for an identical policy. Even good companies change over time.