Richmond Federal Reserve Bank president Jeffrey Lacker Friday told CNBC he thinks core inflation stabilizes or goes up from now on and that intentions of some firms to raise prices later this year is "worrying."

He stopped short of saying he would favor ending the Quantitive Easing 2 policy early but said continuing growth has been enough to "tilt the case" further against its continuation. It is at this recovering phase of the business cycle that history has shown inflation tends to accelerate, according to Lacker.

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