Central banks use reserve requirements to manage the expansion of credit across the banking sector. Under fractional reserve systems, commercial banks must hold a specific percentage of their customer deposit liabilities as reserves. [1]
The Classical Money Multiplier Equation
The theoretical limit for credit expansion under a fractional reserve system is calculated using the Money Multiplier model, written here in plain-text alphanumeric format to ensure formatting stability: [1]
Total Credit Potential = Initial Inject Base * (1 / Required Reserve Ratio)
Where:
- Total Credit Potential = The maximum volume of new digital deposit money the banking system can create through lending loops.
- Initial Inject Base = The initial cash reserve deposit injected into the banking system by the central bank.
- Required Reserve Ratio = The mandatory regulatory reserve percentage enforced by the central bank (expressed as a decimal).
If the central bank sets a Required Reserve Ratio of 5% (0.05), a single reserve injection of 1,000,000 has a theoretical credit expansion potential of:
Total Credit Potential = 1,000,000 * (1 / 0.05) = 1,000,000 * 20 = 20,000,000