💵 Money Supply Calculator

Calculate total money supply from monetary base

Total reserves and currency in circulation

Required reserves as percentage of deposits

How to Use This Calculator

1

Enter Monetary Base

Input the total monetary base (currency in circulation + bank reserves).

2

Enter Reserve Ratio

Input the reserve ratio as a percentage (the fraction of deposits banks must hold as reserves).

3

Optional: Include Currency Ratio

Check the box and enter currency ratio for a more accurate calculation that accounts for currency held by the public.

4

Review Results

See the total money supply, money multiplier, and breakdown of the calculation.

Formula

Money Supply = Monetary Base × Money Multiplier

Simple Multiplier = 1 / Reserve Ratio

Multiplier with Currency = (1 + CR) / (RR + CR)

Where: CR = Currency Ratio, RR = Reserve Ratio

Example 1: Simple Calculation

Monetary Base: $1,000,000

Reserve Ratio: 10%

Multiplier = 1 / 0.10 = 10x

Money Supply = $1,000,000 × 10 = $10,000,000

Example 2: With Currency Ratio

Monetary Base: $1,000,000

Reserve Ratio: 10%, Currency Ratio: 5%

Multiplier = (1 + 0.05) / (0.10 + 0.05) = 7x

Money Supply = $1,000,000 × 7 = $7,000,000

About Money Supply Calculator

The Money Supply Calculator calculates the total money supply in an economy from the monetary base and reserve ratio. Money supply is a key macroeconomic variable that affects inflation, interest rates, and economic activity. Understanding how money supply is created through fractional reserve banking is essential for monetary economics.

The money supply is much larger than the monetary base due to the money multiplier effect. When banks hold fractional reserves, they can lend out most of their deposits, and those loans become deposits in other banks, creating a multiplier effect. The total money supply equals the monetary base multiplied by the money multiplier.

This calculator is essential for economists, students, policymakers, and anyone studying monetary economics. It helps understand how central banks control the money supply, how fractional reserve banking works, and how monetary policy affects the economy.

When to Use This Calculator

  • Monetary Policy Analysis: Understand how central bank actions affect money supply
  • Economic Education: Learn about money creation and fractional reserve banking
  • Academic Study: Study monetary economics and banking theory
  • Policy Evaluation: Assess the impact of reserve requirement changes on money supply
  • Economic Modeling: Model money supply in macroeconomic models
  • Economic Forecasting: Predict money supply changes from monetary base changes

Why Use Our Calculator?

  • ✅ Accurate Calculations: Uses standard money supply formulas
  • ✅ Comprehensive: Supports simple and currency-adjusted calculations
  • ✅ Educational: Helps understand money creation process
  • ✅ Easy to Use: Simple interface for quick calculations
  • ✅ Free Tool: No registration or fees required
  • ✅ Detailed Results: Shows multiplier and breakdown

Understanding Money Supply

Money supply is the total amount of money in an economy, including currency in circulation and deposits. The monetary base (also called high-powered money) is currency in circulation plus bank reserves. Through fractional reserve banking, the money supply is a multiple of the monetary base.

The money multiplier depends on the reserve ratio and currency ratio. Lower reserve ratios create larger multipliers and more money supply. Currency held by the public reduces the multiplier because it doesn't go through the banking system and can't be lent out to create more money.

Real-World Applications

Central Bank Policy: Central banks control money supply by changing the monetary base (through open market operations) or reserve requirements. Understanding the money multiplier helps predict the impact of these policies on total money supply.

Inflation Control: Money supply growth affects inflation. Central banks use money supply targeting to control inflation, and understanding the relationship between monetary base and money supply is essential for effective monetary policy.

Economic Analysis: Changes in money supply affect interest rates, investment, consumption, and economic growth. Understanding money supply helps analyze economic conditions and predict future economic performance.

Important Considerations

  • Money supply calculations assume banks lend out all excess reserves
  • Currency ratio reduces the multiplier by removing money from the banking system
  • Actual money supply may differ due to excess reserves and other factors
  • Central banks control money supply through monetary base and reserve requirements
  • Money supply definitions vary (M1, M2, M3) with different components
  • The simple formula may overstate money creation in practice

Frequently Asked Questions

What is money supply?

Money supply is the total amount of money in an economy, including currency in circulation and bank deposits. It's much larger than the monetary base due to the money multiplier effect from fractional reserve banking.

What is the monetary base?

The monetary base (also called high-powered money) is currency in circulation plus bank reserves. It's the foundation of the money supply and is directly controlled by the central bank through open market operations.

How does the money multiplier work?

The money multiplier shows how fractional reserve banking creates money. When banks lend out deposits (keeping only reserves), those loans become deposits in other banks, which can be lent out again. This creates a multiplier effect where the money supply is a multiple of the monetary base.

Why does currency ratio reduce money supply?

Currency held by the public doesn't go through the banking system, so it can't be lent out to create more money. This reduces the multiplier effect and total money supply compared to the simple calculation.

How do central banks control money supply?

Central banks control money supply by: (1) changing the monetary base through open market operations, (2) setting reserve requirements (which affects the multiplier), and (3) setting interest rates (which affects lending and money creation).

What are M1, M2, and M3?

M1, M2, and M3 are different measures of money supply. M1 includes currency and checkable deposits. M2 includes M1 plus savings deposits and small time deposits. M3 includes M2 plus large time deposits. Different definitions focus on different aspects of money in the economy.