EconomicsMonetary EconomicsA-Level
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Quantity Theory of Money Calculator

Links money supply and velocity to nominal spending.

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Price Level

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Overview

The Quantity Theory of Money states that the general price level of goods and services is directly proportional to the amount of money in circulation. It is represented by the Fisher Equation of Exchange, which balances the total money spent in an economy with the total value of goods and services produced.

Symbols

Variables

M = Money Supply, V = Velocity, P = Price Level, Q = Real Output

Money Supply
$
Velocity
Price Level
Real Output

Apply it well

When To Use

When to use: This equation is used to analyze the long-term relationship between inflation and money supply growth. It is most applicable under the classical assumption that the velocity of money and real output are stable or determined by external factors.

Why it matters: It forms the bedrock of Monetarist economic policy, suggesting that central banks can control price stability by managing the growth rate of the money supply. It explains how excessive printing of money leads to hyperinflation and currency devaluation.

Avoid these traps

Common Mistakes

  • Confusing velocity (V) with speed of money growth.

One free problem

Practice Problem

A small island nation has a total money supply of 500 million units. If the velocity of money is constant at 4 and the real output (Real GDP) is 200 million units of goods, what is the equilibrium price level?

Money Supply500 $
Velocity4
Real Output200 units

Solve for:

Hint: Rearrange the formula to P = (M × V) / Q.

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. Mankiw, N. Gregory. Principles of Economics.
  2. Blanchard, Olivier. Macroeconomics.
  3. Wikipedia: Quantity theory of money
  4. Britannica: Quantity theory of money
  5. Mankiw, N. Gregory. Principles of Economics. 9th ed. Cengage Learning, 2021.
  6. Dornbusch, Rudiger, Fischer, Stanley, and Startz, Richard. Macroeconomics.
  7. A-Level Economics — Money and Monetary Policy