Study: Some health insurance premiums to increase Updated: Saturday, August 3, 2013 | LANSING, Mich. (NEWSCHANNEL 3) - If you buy your own health insurance, you could soon see a big jump in your premiums. A new study claims many states, including Michigan, will see costs increase under the federal health care law. The study found that costs will go up in most states where people buy coverage directly from insurers. That is partly because sicker people will be joining the pool. People who buy their own health insurance in Michigan could see their premiums rise 26-percent under the healthcare overhaul. The Society of Actuaries also predicts medical claim costs will jump on average 32-percent nationwide. The Obama administration does not agree with these numbers, however, saying the study ignores subsidies to help with premiums. Middle-class households can buy subsidized insurance in new marketplaces starting in October, while more low-income people may get Medicaid.