Velocity of Money: Definition, Formula, and Examples (2024)

What Is the Velocity of Money?

The velocity of money is the rate at which money is exchanged in an economy. It is commonly measured by the number of times that a unit of currency moves from one entity to another within a given period of time. Simply put, it's the rate at which consumers and businesses in an economy collectively spend money.

The velocity of money is usually measured as a ratio of gross domestic product (GDP)to a country's M1 or M2 money supply. The word velocity is used here to reference the speed at which money changes hands.

Key Takeaways

  • Velocity of money is a measurement of the rate at which money is exchanged in an economy.
  • The velocity of money is typically higher in expanding economies and lower in contracting economies.
  • To calculate velocity of money, economists divide GDP by money supply.

Velocity of Money: Definition, Formula, and Examples (1)

Understanding the Velocity of Money

The velocity of money is important for measuring the rate at which money in circulation is being used for purchasing goods and services. It is used to help economists and investors gauge the health and vitality of an economy. High money velocity is usually associated with a healthy, expanding economy. Low money velocity is usually associated with recessions and contractions.

Economists use the velocity of money to measure the rate at which money is used for goods and services in an economy. While it is not necessarily a key economic indicator, it can be followed alongside other key indicators that help determine economic health like GDP, unemployment, and inflation. GDP and the money supply are the two components of the velocity of money formula.

Economiesthat exhibit a higher velocity of money relative to others tend to be more developed. The velocity of money is also known to fluctuate with business cycles. When an economy is in an expansion, consumers and businesses tend to more readily spend money causing the velocity of money to increase. When an economy is contracting, consumers and businesses are usually more reluctant to spend and the velocity of money is lower.

Since the velocity of money is typically correlated with business cycles, it can also be correlated with key indicators. Therefore, the velocity of money will usually rise with GDP and inflation. Alternatively, it is usually expected to fall when key economic indicators like GDP and inflation are falling in a contracting economy.

Example of Velocity of Money

Consider an economy consisting of two individuals, A and B, who each have $100 of money in cash. Individual A buys a car from individual B for $100. Now B has $200 in cash money. Then B purchases a home from A for $100 andB enlists A's help in adding new construction to their home and for their efforts, B pays A another $100. Individual A now has $200 in cash. Individual B then sells another car to A for $100 and both A and B end up with $100 in cash. Thus, both parties in the economy have made transactions worth $400, even though they only possessed $100 each.

In this economy, the velocity of money would be two, resulting from the $400 in transactions divided by the $200 in money supply. This multiplication in the value of goods and services exchanged is made possible through the velocity of money in an economy.

The Velocity of Money Formula

While the above provides a simplified example of the velocity of money, the velocity of money is used on a much larger scale as a measure of transactional activity for an entire country’s population. In general, this measure can be thought of as the turnover of the money supply for an entire economy.

For this application, economists typically use GDP and either M1 or M2 for the money supply. Therefore, the velocity of money equation is written as GDP divided by money supply.

VelocityofMoney=GDPMoneySupply\text{Velocity of Money} = \frac{ \text{GDP} }{ \text{Money Supply} }VelocityofMoney=MoneySupplyGDP

GDP is usually used as the numerator in the velocity of money formula though gross national product (GNP) may also be used as well. GDP represents the total amount of goods and services in an economy that are available for purchase. In the denominator, economists will typically identify money velocity for both M1 and M2.

M1 is defined by the Federal Reserve as the sum of all currency held by the public andtransaction depositsat depository institutions. M2 is a broader measure of money supply, adding in savings deposits,time deposits,and real money market mutual funds. As well, the St. Louis Federal Reserve tracks the quarterly velocity of money using both M1 and M2.

Velocity of Money and the Economy

There are differing views among economists as to whether the velocity of money is a useful indicator of the health of an economy or, more specifically, inflationary pressures. The "monetarists" who subscribe to thequantity theory of moneyargue that money velocity should be stable absent changing expectations, but a change in money supply can alter expectations and therefore money velocity and inflation.

For example, an increase in the money supply should theoretically lead to a commensurate increase in prices because there is more money chasing the same level of goods and services in the economy. The opposite should happen with a decrease in money supply. Critics, on the other hand, argue that in theshort term, the velocity of money is highly variable, and prices are resistant to change, resulting in a weak and indirect link between money supply and inflation.

Empirically, data suggests that the velocity of money is indeed variable. Moreover, the relationship between money velocity and inflation is also variable. For example, from 1959 through the end of 2007, the velocity of M2 money stock averaged approximately 1.9x with a maximum of 2.198x in 1997 and a minimum of 1.653x in 1964.

Beginning in 2007, the velocity of money fell dramatically as the Federal Reserve greatly expanded its balance sheet in an effort to combat theglobal financial crisisand deflationary pressures.

Money velocity appeared to have bottomed out at 1.435 in the second quarter of 2017 and was gradually rising until the global recession triggered by the COVID-19 pandemic spurred massive U.S. Federal economic stimulus. At the end of the second quarter of 2020, the M2V was 1.128, the lowest reading of M2 money velocity in history. After another dip in the third quarter of 2021, the M2V has been increasing slowly.

Factors Affecting the Velocity of Money

There are several factors that can affect the velocity of money in an economy. These include:

  • Money supply: the velocity of money is inversely related to the supply of money. When the supply of money is increased by the central bank, the pace of economic transactions also increases. This can potentially lead to inflation.
  • Consumer behavior: velocity is also affected by the behavior of economic actors. When consumers prioritize saving rather than spending, the pace of transactions slows and the velocity of money declines. When consumers prioritize spending, the velocity of money speeds up.
  • Payment systems: The velocity of money is also affected by features of the monetary system, such as the availability of credit or electronic banking. When there are few barriers to transactions, the velocity of money tends to increase; when it is difficult to spend money, it decreases.

Why Is the Velocity of Money Slowing Down?

The velocity of the M1 money supply has steadily decreased since the recession of 2008, according to figures from the Federal Reserve Bank of St. Louis.

Much of that decline has been attributed to demographic changes and the effects of the Great Recession. With baby boomers approaching retirement and household wealth greatly reduced, many consumers were more incentivized towards saving than before.

Federal regulations may have also played a role, as the Dodd-Frank Act increased the reserve requirements and leverage ratios for banks. Because these institutions were required to keep more of their assets, rather than lend or spend them, there was less money to move in the economy.

One factor in the slowing velocity of money is not a mystery: the COVID-19 pandemic. The velocity of money fell sharply in 2020, likely due to the increased economic uncertainty combined with the influx of stimulus payments. However, since 2021, the velocity has risen slightly.

What Does Velocity of Money Measure?

The velocity of money estimates the movement of money in an economy—in other words, the number of times the average dollar changes hands over a single year. A high velocity of money indicates a bustling economy with strong economic activity, while a low velocity indicates a general reluctance to spend money.

How Do You Calculate the Velocity of Money?

The velocity of money is calculated by dividing a country's gross domestic product by the total supply of money. This calculation can use either the M1 money supply, which includes physical currency, checkable deposits, and certain other figures, or the M2 supply, which also includes savings deposits and money market funds.

Why Is the Velocity of Money So Low?

The velocity of money in the United States fell sharply during the first and second quarters of 2020, as calculated by the St. Louis Federal Reserve Bank. While there is no definitive explanation, the fall is likely due to the diminished activity incurred during the COVID-19 pandemic, as well as an increase in consumer savings due to economic uncertainty. Since 2021, the velocity of money has ticked upward slightly.

The Bottom Line

The velocity of money represents the heartbeat of an economy. It measures how quickly money changes hands from one transaction to another. During times of prosperity, the velocity of money tends to be high, indicating bustling activity and frequent transactions. During an economic downturn, the velocity slows, indicating that consumers are less willing to spend money or make transactions.

Velocity of Money: Definition, Formula, and Examples (2024)

FAQs

Velocity of Money: Definition, Formula, and Examples? ›

If we divide the GDP by the quantity of money in the economy, then we calculate the velocity of money. Say the GDP is 8 trillion dollars and the quantity of money in the economy is 2 trillion dollars, then the velocity of money is 4. This means that the average dollar is used in 4 transactions per year.

What is the velocity of money for dummies? ›

The velocity of money is an economic metric that measures the rate at which money moves within a market economy. You can do this by calculating the number of times people spend a unit of currency within a set period, tracking how often the money circulates from one person or organization to another.

What is the formula for money demand velocity? ›

The quantitative relation between velocity and money demand is given by Velocity = Nominal Transactions (however defined) divided by Nominal Money Demand.

What is the definition of the transactions velocity of money? ›

The transactions velocity is the economy-wide dollar value of all transactions during a year, divided by the average money supply during the period: Transactions Velocity = Transactions Money . The transactions velocity is the number of times on average that a dollar is used for a transaction.

What is the velocity of the movement of money? ›

The velocity of money is the frequency at which one unit of currency is used to purchase domestically- produced goods and services within a given time period. In other words, it is the number of times one dollar is spent to buy goods and services per unit of time.

What is a simple example of velocity of money? ›

If we divide the GDP by the quantity of money in the economy, then we calculate the velocity of money. Say the GDP is 8 trillion dollars and the quantity of money in the economy is 2 trillion dollars, then the velocity of money is 4. This means that the average dollar is used in 4 transactions per year.

How is velocity calculated? ›

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

What is the assumption of velocity of money? ›

The basic assumption regarding velocity, as stated by the quantity theory of money, is that a higher level of velocity in the economy would conclude the money supplied is being spent optimally, which will eventually increase the economy's GDP.

What is the velocity of money in the US? ›

Basic Info. Velocity of M1 Money Stock in the US is at a current level of 1.59, up from 1.574 last quarter and up from 1.457 one year ago. This is a change of 1.02% from last quarter and 9.13% from one year ago.

What are the factors that determine the velocity of money? ›

The velocity of money is defined in terms of three important macroeconomic variables: the price level, the level of real output, and the money supply.

What would increase the velocity of money? ›

When there are more transactions being made throughout the economy, velocity increases, and the economy is likely to expand. The opposite is also true: Money velocity decreases when fewer transactions are being made; therefore the economy is likely to shrink.

What is the quantum theory of money? ›

The quantity theory of money proposes that the exchange value of money is determined like any other good, with supply and demand. The basic equation for the quantity theory is called The Fisher Equation because it was developed by American economist Irving Fisher.

What is the velocity of money calculator? ›

The velocity of money calculator determines how many times the money moves between the population or a group of people. It is a concept of economics that affects the money supply, demand and inflation (our inflation calculator can help you understand more).

What is the velocity of money refers to? ›

The velocity of money estimates the movement of money in an economy—in other words, the number of times the average dollar changes hands over a single year. A high velocity of money indicates a bustling economy with strong economic activity, while a low velocity indicates a general reluctance to spend money.

What is velocity for dummies? ›

Velocity is the speed in a particular direction, and it is typically measured in meters per second (m/s or ms1). The difference between velocity and speed can be illustrated by a person walking around in a circle at a constant speed of 0.5 meters per second.

What is the velocity of money in reality? ›

Velocity=Pc/ ũ (the ratio of total spending and average money holding, where Pc is the total spending in a year). Dividing the nominal velocity of money by the price index, I can say that the real velocity of money is-2(1/T).

What is the current velocity of money? ›

Basic Info. Velocity of M1 Money Stock in the US is at a current level of 1.59, up from 1.574 last quarter and up from 1.457 one year ago. This is a change of 1.02% from last quarter and 9.13% from one year ago.

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