Really serious inflation is when prices in supermarket change twice a day like in Brasil in the old times. It is Weimar style hyperinflation where everyone want to get rid of paper money right away.
Inflation of 2-3% is actually desirable - it is a sign of healthy, growing economy. Additionaly it is good for public finances as most expenditures is fixed and tax recipes are over the target. Yes it is a kind of tax on people but in healthy economy who cares?
Most central banks and banks in general (also insurers) dread deflation not small inflation.