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The consumer price index for the eurozone's largest economy rose 2.0 percent on a 12-month basis in January, down from 2.1 percent in December, the national statistics office Destatis said in a statement.
It is the first time since January 2011 that German inflation has stood at 2.0 percent.
On a monthly basis, the cost of living in Germany fell by 0.4 percent in January from December.
The preliminary inflation data are calculated using consumer price data for six of Germany's 16 federal states.
Final data, based on statistics for all 16 states, are scheduled to be published on February 10.