Velocity of Money Calculator — Fisher Equation MV = PQ
Enter nominal GDP and money supply (M2) to find the velocity of money — how many times each dollar circulates through the economy per year — and explore what changes in V or M imply for output and prices.
$B
$B
Times each dollar circulates through the economy per year
- 1
GDP ÷ money supply (M2)
28,000 B ÷ 21,000 BFrom the Fisher equation MV = GDP, rearranged as V = GDP ÷ M. - 2
Velocity of money (V)
V = 28,000 ÷ 21,000 = 1.33
How does this calculator work?
V = Nominal GDP ÷ M2. The Fisher equation MV = PQ means rising money supply lowers V if output and prices are unchanged. US M2 velocity was ≈ 1.1 in 2024, down from 2.0 in the 1990s. Enter your economy's GDP and M2 to compute V and explore implied scenarios.
Formula
How this is calculated
The velocity of money (V) measures the average number of times each unit of currency is spent on final goods and services within a year. It links the money supply (M), the price level (P), and real output (Q) through the Fisher equation: MV = PQ, where PQ equals nominal GDP. Rearranging: V = GDP / M. A rising V means the same stock of money is doing more work; a falling V (as occurred in many countries after 2008 and again in 2020) means people and businesses are holding money rather than spending it.
The US M2 velocity fell from roughly 2.0 in 2000 to about 1.1–1.2 in 2024 as M2 expanded faster than nominal GDP and as excess reserves accumulated in the banking system. Other economies show different patterns depending on their monetary policy, financial depth, and payment-system efficiency.
The chart shows how V changes as the money supply varies while GDP stays fixed — a hyperbolic relationship (V ∝ 1/M). The "M needed for target V" stat answers the policy question: if you want a specific velocity, how large must the money supply be?
Note: figures use 2024 US estimates as defaults (editable). Always replace with current data from your central bank for meaningful analysis.
Frequently asked questions
It depends on the economy and monetary aggregate used. US M2 velocity was about 1.7–2.0 in the 1990s, peaked near 2.2 around 1997, and fell steadily after 2008 to around 1.1 by 2024. Developing economies with shallower financial systems often show higher velocities.
The Fisher equation MV = PQ implies that if M rises but V falls proportionally, the price level P is unchanged — the money did not "flow through" the economy. Conversely, if V surges (e.g. as pent-up spending releases), the same money supply produces stronger inflationary pressure. Central banks therefore watch both M and V when assessing inflation risk.
M2 (cash, demand deposits, and short-term savings) is the most widely used measure for velocity calculations. M1 (narrow money) gives a higher velocity because it is a smaller stock. M3 or broad money gives a lower velocity. Compare velocities only when using the same aggregate consistently.
Also known as
TG we-Calculate Editorial Team. (2026). Velocity of Money Calculator — Fisher Equation MV = PQ [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/velocity-of-money-calculator
TG we-Calculate Editorial Team. "Velocity of Money Calculator — Fisher Equation MV = PQ." TG we-Calculate. 2026. https://we-calculate.com/calculator/velocity-of-money-calculator.
TG we-Calculate Editorial Team, "Velocity of Money Calculator — Fisher Equation MV = PQ," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/velocity-of-money-calculator
@misc{wecalculate_velocity_of_money_calculator, title = {Velocity of Money Calculator — Fisher Equation MV = PQ}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/velocity-of-money-calculator}}, year = {2026}, note = {TG we-Calculate} }
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