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It was flat at 79.27 pence per euro.
The Survation poll, coinciding with the bank's post-meeting statement on monetary policy, showed just 42 percent would vote to remain in the 28-country trading bloc while 45 percent of Britons would vote to leave.
The BoE minutes said a vote to leave could harm the global economy, and warned it was increasingly likely that sterling would fall further after a Brexit vote. Its Monetary Policy Committee voted unanimously to hold rates at record lows, as expected.