PROVIDENCE, R.I. — Boston Federal Reserve Bank President Eric Rosengren Tuesday said the key to the central bank raising interest rates is not simply that the unemployment threshold has been reached, but that the fall to a 6.5% unemployment rate is also accompanied by rapid growth in the economy.

Taking questions from the audience following a speech to the Greater Providence Chamber of Commerce, Rosengren reiterated a warning made by many Fed officials in recent weeks, that these numbers are not policy targets.

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