text: Obama, " Premiums will be cut $2,700". So yes Obama promised premiums would go down, knowing that they would not and could not under OBAMAcare. It was a lie. You can't mandate insurance companies pay for ten forms of coverage, and not have premiums increase. Another promise was that the 10 to 20 who were uninsured before OBAMAcare get health care. The latest figures indicate that about the same number who were uninsured before OBAMAcare are uninsured under OBAMAcare.