CHICAGO — Illinois’ unfunded pension obligations grew by about $7 billion in fiscal 2011 but its funded ratio dipped just slightly to 43% from 45%, according to the state’s latest pension figures released Tuesday in the offering statement for its upcoming $800 million general obligation issue.

An income tax hike enacted in early 2011 that will raise $6.8 billion in new revenue annually helped ease the state’s cash flow and budget woes, but its unfunded pension obligations still pose a daunting challenge to efforts to stabilize its fiscal house. The state’s funded ratios were the lowest among states last year based on fiscal 2010 results.

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