Fractional Reserve Banking defines a monetary system wherein financial institutions maintain only a fraction of deposits as reserves while lending out the remainder, thereby expanding the money supply through the mechanism of multiple deposit creation. This process is governed by the Money Multiplier theorem, formally expressed as the reciprocal of the reserve ratio ($1/r$), which quantifies the theoretical maximum expansion of checkable deposits relative to changes in bank reserves within macroeconomics. The system relies on indirect central banking control via reserve injection rather than direct money printing, subject to boundary conditions where actual multipliers deviate from mechanical calculations due to variable exogenous cash leakages and endogenous variations in required or held excess reserves during economic fluctuations.
Fractional Reserve Banking defines a monetary system wherein financial institutions maintain only a fraction of deposits as reserves while lending out the remainder, thereby expanding the money suppl…