I'm not sure exactly what year it happened, but it's been a while. I've never seen a house with asbestos problems that was built after the mid-80s. I know that it still is an issue sometimes, but luckily it's becoming less of a problem over time. I would definitely suggest getting your insulation inspected if you're worried that it has asbestos in it. If it does have asbestos in it, you should get it replaced as soon as possible.