Macroeconomics
Quantity Theory of Money Calculator
Use MV = PY to connect money, velocity, prices and real output.
Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.
Problem → model → reason → result
What problem does this model solve?
Use MV = PY to connect money, velocity, prices and real output.
Why does the model apply?
The identity always balances when consistently measured; treating velocity and output as fixed turns it into a simplified theory of prices.
What assumptions does it make?
The variables must describe the same market, firm, period or decision context and use consistent units. Any behavioural condition implied by the formula—such as other factors remaining unchanged—must be reasonable for the question being asked.
Formula
Price level = Money supply × velocity ÷ real output
Calculation and working
The calculator substitutes your inputs locally and displays the numerical result. Change one input at a time to test which relationship drives the result.
What does the result mean?
Interpret the result in the economic context named above, including its sign, magnitude, units and time period. A calculated relationship is not by itself evidence that one variable caused another.
When does this model not apply?
Do not use the result when the input definitions, units or formula assumptions do not match the real situation. This is an educational model, not financial, investment, tax or policy advice; verify material decisions against primary data and professional guidance.
Clear answers
Frequently asked questions
What does the Quantity theory of money do?
Use MV = PY to connect money, velocity, prices and real output.
How does the Quantity theory of money work?
The calculator applies this formula: Price level = Money supply × velocity ÷ real output. The identity always balances when consistently measured; treating velocity and output as fixed turns it into a simplified theory of prices.
What can I learn from the Quantity theory of money?
It helps you explore the relationship described by this tool: Use MV = PY to connect money, velocity, prices and real output. Change one input at a time to observe how it affects the result.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the result as an estimate or educational aid. Check important financial, business or policy decisions with qualified sources and current data.
Last reviewed 2026-07-14. Calculations tested 2026-07-14.