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If a Central Bank follows the Taylor Rule, it will modify the interest rate, and therefore affecting the money supply if basically one or both of things happen:

  • The inflation rate is bigger than the target, that is, the level of inflation that CB want to maintain.
  • The actual output is bigger than the potential output.

So if nominal income increases, this may not imply a change in the money supply, but if aggregate income outweigh potential income, inflation pressures would appear, and the CB would reduce money supply to cool down the economy.

Summarising, if nominal income grows faster, there will be a reduction in money supply.

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