U.S. M2 velocity fell for decades and hit a record low in 2020 when savings surged; it has since partly recovered. The quantity theory of money assumes velocity is stable, which hasn’t held in practice.
How to use the Velocity of Money Calculator
- Nominal GDP
- Money supply (e.g. M2)
Results update as you type, and every field accepts the units shown in its menu.
How it works
Enter nominal GDP (or price level and real output) and the money supply.
Tips
- Use real (inflation-adjusted) figures to compare across years.
- Check whether data are seasonally adjusted.
- Use the same currency and base year throughout.
- Economic models simplify reality – treat results as illustrations, not forecasts.
Common mistakes to avoid
- Mixing nominal and real values.
- Comparing percentage changes with percentage-point changes.
- Treating correlations as causes.
Inputs explained
| Field | What to enter |
|---|---|
| Nominal GDP | Amount in your currency |
| Money supply (e.g. M2) | Amount in your currency |
Example values
How the main result changes when Nominal GDP changes and everything else stays at the example values above:
| Nominal GDP | Velocity of money |
|---|---|
| 15,000 | 0.682 |
| 22,500 | 1.023 |
| 30,000 | 1.364 |
| 37,500 | 1.705 |
| 45,000 | 2.045 |
| 60,000 | 2.727 |
Formula
Velocity V = nominal GDP ÷ money supply = (P × Q) ÷ MEquation of exchange: M × V = P × QWorked example
Inputs — Nominal GDP: $30,000; Money supply (e.g. M2): $22,000.
Results — Velocity of money = 1.364.
Frequently asked questions
What is the velocity of money?
How often money changes hands in a year.
What does a falling velocity mean?
People and businesses are holding more money relative to spending.
Is velocity constant?
No – it changes with interest rates, financial innovation and confidence.
What formula does the Velocity of Money Calculator use?
Velocity V = nominal GDP ÷ money supply = (P × Q) ÷ M.