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The Retail Prices Index edged down from 3.3%to3.2%2%.
The Consumer Prices Index rose 0.2% on a monthly basis.
£2.3bn cost to bring forward the change to Consumer Prices Index from Retail Prices Index by two years to 2018.
There are three main estimates produced by the ONS: the consumer prices index (CPI); consumer prices index including owner-occupiers' housing costs (CPIH): and the retail prices index (RPI).
Ministers want public sector pensions to be tied to the consumer prices index, which historically has risen by a smaller amount each year than the retail prices index.
Annual inflation measured by the retail prices index, which unlike the consumer prices index includes housing costs, increased to 5.1% in January, from 4.8% in December.
The consumer prices index (CPI) and retail prices index (RPI) rates of inflation are calculated using 180,000 price quotations every month.
Allowances are then in line to rise by the consumer prices index, starting in 2015-16.
Recent sales have moved to a formula based on the retail prices index.
The import prices index is the first of three measures of inflation for November.
The exact level won't be known until September's publication of the retail prices index.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com