President Obama repeatedly promised Obamacare would reduce insurance premiums by $2,500 per year. He made this promise at least 22 times. Today Health and Human Services Secretary Kathleen Sebelius admitted health insurance rates will increase under Obamacare. The Daily Mail reported: Health and Human Services Secretary Kathleen Sebelius told House Ways and Means Committee members on Wednesday that she expects health insurance rates to increase as the Affordable Care Act takes full effect.