Have you ever had your insurance company sending you a renewal letter with the quote that didn't make you living them?
I don't get their strategies, but surely if it comes to my family's car they don't want to keep their customers with them. It seems to be some sort of a joke or something - I'm just "gocomparing" quotes, as the new we have received is even more expensive then we used to pay last year! No accidents and claims of course.
I've just received the results - the top ones are half of our (ex-)insurer quotes.
In a lot of cases, their initial "tempter" discount to attract new business, is frequently not sustained at renewal. Plus the factors used for premium calculations and actuarial factors may change - they may either target different demographs, or simply their decisions may change.
It's more likely, though, that it's a new business "discount" they apply that isn't maintained - and they'll be factoring in either some people being a bit lazy and sticking with them (which there will be some) and another new influx of different customers as comparison websites shunt them that way.
Every year, now, I use a couple of comparison websites, and tend to use that to get the best-ish premium (I do use other factors, though, like some of the other attributes of the policy, plus perceived, I suppose, reputation or recognition of the company names - which is probably not worth much, these days).