Velocity of Money: Definition, Formula, and Examples

What Is the Velocity of Cash?

The rate of cash is a measurement of the speed at which cash is exchanged in an financial system. It’s the variety of occasions that cash strikes from one entity to a different. It additionally refers to how a lot a unit of foreign money is utilized in a given time period. Merely put, it is the speed at which shoppers and companies in an financial system collectively spend cash.

The rate of cash is often measured as a ratio of gross home product (GDP) to a rustic’s M1 or M2 cash provide. The phrase velocity is used right here to reference the velocity at which cash modifications palms.

Key Takeaways

  • Velocity of cash is a measurement of the speed at which cash is exchanged in an financial system.
  • The rate of cash equation divides GDP by cash provide.
  • The rate of cash system reveals the speed at which one unit of cash provide foreign money is being transacted for items and companies in an financial system.
  • The rate of cash is usually greater in increasing economies and decrease in contracting economies.

Understanding the Velocity of Cash

The rate of cash is essential for measuring the speed at which cash in circulation is getting used for buying items and companies. It’s used to assist economists and traders gauge the well being and vitality of an financial system. Excessive cash velocity is often related to a wholesome, increasing financial system. Low cash velocity is often related to recessions and contractions.

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Economists use the rate of cash to measure the speed at which cash is used for items and companies in an financial system. Whereas it’s not essentially a key financial indicator, it may be adopted alongside different key indicators that assist decide financial well being like GDP, unemployment, and inflation. GDP and the cash provide are the 2 elements of the rate of cash system.

Economies that exhibit a better velocity of cash relative to others are usually extra developed. The rate of cash can also be identified to fluctuate with enterprise cycles. When an financial system is in an enlargement, shoppers and companies are likely to extra readily spend cash inflicting the rate of cash to extend. When an financial system is contracting, shoppers and companies are often extra reluctant to spend and the rate of cash is decrease.

Because the velocity of cash is usually correlated with enterprise cycles, it may also be correlated with key indicators. Subsequently, the rate of cash will often rise with GDP and inflation. Alternatively, it’s often anticipated to fall when key financial indicators like GDP and inflation are falling in a contracting financial system.

Instance of Velocity of Cash

Contemplate an financial system consisting of two people, A and B, who every have $100 of cash in money. Particular person A buys a automotive from particular person B for $100. Now B has $200 in money cash. Then B purchases a house from A for $100 and B enlists A’s assist in including new building to their house and for his or her efforts, B pays A one other $100. Particular person A now has $200 in money. Particular person B then sells a automotive to A for $100 and each A and B find yourself with $100 in money. Thus, each events within the financial system have made transactions price $400, regardless that they solely possessed $100 every.

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On this financial system, the rate of cash can be two (2) ensuing from the $400 in transactions divided by the $200 in cash provide. This multiplication within the worth of products and companies exchanged is made doable via the rate of cash in an financial system.

The Velocity of Cash Components

Whereas the above gives a simplified instance of the rate of cash, the rate of cash is used on a a lot bigger scale as a measure of transactional exercise for a complete nation’s inhabitants. On the whole, this measure could be considered the turnover of the cash provide for a complete financial system.

For this utility, economists usually use GDP and both M1 or M2 for the cash provide. Subsequently, the rate of cash equation is written as GDP divided by cash provide.

Velocity of Cash = GDP ÷ Cash Provide

GDP is often used because the numerator within the velocity of cash system although gross nationwide product (GNP) may be used as effectively. GDP represents the overall quantity of products and companies in an financial system which are accessible for buy. Within the denominator, economists will usually determine cash velocity for each M1 and M2.

M1 is outlined by the Federal Reserve because the sum of all foreign money held by the general public and transaction deposits at depository establishments. M2 is a broader measure of cash provide, including in financial savings deposits, time deposits, and actual cash market mutual funds. As effectively, the St. Louis Federal Reserve tracks the quarterly velocity of cash utilizing each M1 and M2.

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Velocity of Cash and the Financial system

There are differing views amongst economists as as to if the rate of cash is a helpful indicator of the well being of an financial system or, extra particularly, inflationary pressures. The “monetarists” who subscribe to the amount principle of cash argue that cash velocity must be steady absent altering expectations, however a change in cash provide can alter expectations and due to this fact cash velocity and inflation.

For instance, a rise within the cash provide ought to theoretically result in a commensurate improve in costs as a result of there’s extra money chasing the identical stage of products and companies within the financial system. The other ought to occur with a lower in cash provide. Critics, then again, argue that within the brief time period, the rate of cash is extremely variable, and costs are resistant to alter, leading to a weak and oblique hyperlink between cash provide and inflation.

Empirically, information means that the rate of cash is certainly variable. Furthermore, the connection between cash velocity and inflation can also be variable. For instance, from 1959 via the tip of 2007, the rate of M2 cash inventory averaged roughly 1.9x with a most of two.198x in 1997 and a minimal of 1.653x in 1964.


Velocity of M2 Cash Provide.

St. Louis Federal Reserve Financial institution


Since 2007, the rate of cash has fallen dramatically because the Federal Reserve vastly expanded its stability sheet in an effort to fight the world monetary disaster and deflationary pressures.

Cash velocity appeared to have bottomed out at 1.435 within the second quarter of 2017 and was step by step rising till the worldwide recession triggered by the COVID-19 pandemic spurred large U.S. Federal financial stimulus. On the finish of the second quarter of 2020, the M2V was 1.100, the bottom studying of M2 cash velocity in historical past.

What Does Velocity of Cash Measure?

The rate of cash estimates the motion of cash in an financial system—in different phrases, the variety of occasions the common greenback modifications palms over a single yr. A excessive velocity of cash signifies a bustling financial system with sturdy financial exercise, whereas a low velocity signifies a normal reluctance to spend cash.

How Do You Calculate the Velocity of Cash?

The rate of cash is calculated by dividing a rustic’s gross home product by the overall provide of cash. This calculation can use both the M1 cash provide, which incorporates bodily foreign money, checkable deposits, and sure different figures, or the M2 provide, which additionally contains financial savings deposits and cash market funds.

Why Is the Velocity of Cash So Low?

The rate of cash in the US fell sharply through the first and second quarters of 2020, as calculated by the St. Louis Federal Reserve Financial institution. Whereas there isn’t a definitive rationalization, the autumn is probably going as a result of diminished exercise incurred through the COVID-19 pandemic, in addition to a rise in client financial savings attributable to financial uncertainty.

Velocity of Cash: My Favourite Monetary Time period