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9.4.3 quantity theory of money (MV = PT)

The Quantity Theory

  1. The quantity theory of money links the money supply to the general price level.
  2. It builds on Fisher's equation of exchange, which is true by definition.
  3. The theory then assumes velocity (V) and the volume of transactions (T) are broadly stable.
  4. On that assumption, a rise in the money supply (M) feeds through mainly to prices (P).

Equation of exchange

M×V=P×T M \times V = P \times T M×V=P×T
Definition

Quantity theory of money: with V and T assumed stable, a change in M causes a proportional change in the price level P.

Equation of exchange (MV = PT): M is the money supply, V the velocity of circulation, P the price level and T the volume of transactions.

Velocity of circulation: the average number of times each unit of money is spent on output in a period.

Key Idea
  • The equation of exchange is an identity, true by definition.
  • The theory adds the assumption that V and T are stable.
  • It gives a monetary explanation of inflation.

How the Theory Works

  1. The equation says total spending (M × V) equals the money value of output (P × T).
  2. If V and T are fixed, any rise in M must show up as a higher P.
  3. So a money supply growing faster than output pushes the price level up.
  4. This is the monetarist claim that inflation is essentially a monetary phenomenon.
Example
  • Suppose M rises by 5% while V and T are unchanged.
%ΔP=%ΔM+%ΔV−%ΔT=5%+0%−0%=5% \%\Delta P = \%\Delta M + \%\Delta V - \%\Delta T = 5\% + 0\% - 0\% = 5\% %ΔP=%ΔM+%ΔV−%ΔT=5%+0%−0%=5%
  • So the price level rises by about 5%, matching the growth in the money supply.

Questioning the Assumptions

  1. Velocity may not be stable: if households hold more money, V falls and the link weakens.
  2. When there is spare capacity, extra money can raise real output (T) rather than P.
  3. If V or T move, the proportional link from M to P breaks down.
  4. It depends on the time horizon: the link is stronger in the long run than the short run.
Note
  • After the 2008 financial crisis, velocity fell as banks and households held more money.
  • So quantitative easing did not bring the high inflation some had feared.
  • In a deep recession, extra money can raise output instead of prices.

Evaluation

  1. For the theory: over the long run, high money-supply growth and inflation move closely together. In Zimbabwe around 2008 the central bank printed money to finance a large government deficit while real output was collapsing, so with T falling the surge in M fed almost entirely into P, producing hyperinflation; Venezuela after 2016 followed the same path.
  2. Against: V and real output are not truly constant, especially in the short run.
  3. With spare capacity, extra money can lift output first, so prices need not rise in proportion.
  4. On balance, the setting decides: in high-inflation, long-run cases where the money supply grows far faster than output, as in Zimbabwe, the link is close to one-for-one and the theory is a reliable guide; but in a demand-deficient recession with spare capacity and a falling velocity, as under post-2008 quantitative easing, extra money is largely held or raises output rather than prices, so the proportional result holds only when V and T are stable.
Exam technique
  • State the equation M × V = P × T and define each term.
  • Question whether V and T are really stable before asserting the result.
  • Separate the long-run link from the short-run picture.
Common Mistake
  • Do not leap from M to P without checking the assumptions.
  • The proportional result needs a stable V and a stable T.
Self review
  • State Fisher's equation of exchange.
  • What does each term stand for?
  • What is the monetarist claim?
  • Why might the assumptions fail?
  • When can extra money raise output rather than prices?
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Fisher's equation of exchange states that total spending must equal the money value of transactions. It is expressed as:

M×V=P×T M \times V = P \times T M×V=P×T

Here, MMM is the money supply, VVV is the velocity of circulation, PPP is the general price level, and TTT is the volume of transactions. The equation is an identity because both sides measure the same total value of spending over a period.

Velocity is the average number of times each unit of money is spent during the period. For example, if each pound is spent an average of four times per year, then V=4V = 4V=4.

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What is Fisher's equation of exchange?

9.4.3 quantity theory of money (MV = PT) Revision Guide

  1. Intl A Level
  2. /Economics
  3. /9.4.3 quantity theory of money (MV = PT)

Revision notes for CIE Intl A Level Economics 9.4.3 quantity theory of money (MV = PT): explanations and worked examples.

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