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The U.S. economy unexpectedly contracted in the fourth quarter, according to the advance estimate, although many analysts said there was no reason for panic given that consumer spending and business investment picked up.
The euro zone economy also probably contracted, by 0.4 percent at the end of last year, chalking up its third negative quarter, and will only stagnate in the current period, according to a Reuters poll published last month.
In January the euro zone PMI rose to an 11-month high of 47.9 from December's 46.1, pointing to a continued decline in activity but suggesting the downturn in manufacturing output - which fell for most of last year - has passed its nadir.
The output index, which feeds into a broader gauge of the economy, the composite PMI, due next Tuesday, rose to a 10-month high of 48.7 from December's 46.0. That was the biggest one-month jump in a year.
Financial markets reacted positively to the data with stocks extending gains and the euro rising broadly.
"While still in contraction territory, the manufacturing PMIs signal that upward momentum is spreading and the pace of contraction in euro zone output is slowing," said Evelyn Herrmann, European economist at BNP Paribas.
"This said, the story in the euro zone remains one of national divergence between the peripheries and the core, but as the divergence in recent survey indicators between France and Germany shows, now also spreads across core countries."
Markit said the gap between the German and French PMIs was the widest ever, leaving Germany, Europe's largest economy, as the region's shining light.
Germany's PMI staged its biggest one-month jump since the middle of 2009, to 49.8, showing stabilising activity, while output expanded in January.
But in France, Europe's second-largest economy, the downturn deepened. Its PMI sank to a four-month low of 42.9.