Worked example 1
Suppose an individual deposits $10,000 of new cash into a commercial bank. The central bank mandates a liquidity ratio (reserve requirement) of 20%. Assuming banks lend out all excess reserves and all loans are re-deposited into the banking system, calculate the maximum total increase in the money supply.
Show solution outline
This problem demonstrates the credit creation process using the money multiplier.
Step 1: Identify the initial deposit and the liquidity ratio.
- Initial Deposit (New Reserves) = $10,000
- Liquidity Ratio (LR) = 20% or 0.20
Step 2: Calculate the money multiplier. The money multiplier shows the maximum potential expansion of the money supply from a new deposit.
- Formula: Money Multiplier = 1 / Liquidity Ratio
- Calculation: Money Multiplier = 1 / 0.20 = 5
Step 3: Calculate the total increase in the money supply (deposits). This is the initial deposit multiplied by the money multiplier.
- Formula: Total Increase in Deposits = Initial Deposit × Money Multiplier
- Calculation: Total Increase in Deposits = $10,000 × 5 = $50,000
Step 4: Calculate the total amount of new credit created (loans). The total credit created is the total increase in deposits minus the initial cash deposit that started the process.
- Formula: Total Credit Created = Total Increase in Deposits - Initial Deposit
- Calculation: Total Credit Created = $50,000 - $10,000 = $40,000
Summary of the process:
- The initial $10,000 deposit increases the money supply by $10,000.
- The banking system then creates an additional $40,000 in loans, which become new deposits.
Final Answer: The maximum total increase in the money supply resulting from the initial $10,000 deposit is $50,000.