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Expenditure and Income Equations

Author: Sophia

what's covered
This lesson will cover expenditure and income equations with a focus on what fiscal policy involves and how the government can use these policies to expand or contract the economy. Specifically, this lesson will cover the following:

Table of Contents

1. Goals of Fiscal Policy

Let’s begin with a definition of fiscal policy, which is typically a policy set by a central government authority whereby government spending is adjusted to stabilize economic activity.

The government also uses taxation as a policy to do the same.

Therefore, we have two tools of fiscal policy:

  • Government Spending
    • Making direct and indirect expenditures related to public goods and services (like infrastructure, health care, and education)
    • Making transfer payments such as food stamps and unemployment benefits
  • Taxation
    • Offering tax incentives and rebates
    • Adjusting the tax structure
Now, fiscal policy looks at the policies in these two areas, and the government uses these two tools to stabilize the economy’s movement through business cycles.

As a reminder, business cycles are the movement of an economy through expansion, peak, contraction, and trough over time. They are assessments of our economic activity over time.

In review, this is what a business cycle looks like. Notice the expansion, peak, contraction, and trough; then, the cycle would start over.

The line graph illustrates a business cycle. The <i>x</i>-axis of the graph represents time, and the <i>y</i>-axis represents output in GDP. The graph is in the shape of a sine wave, depicting the four phases of the business cycle over time. In the graph, the line initially moves upward to depict the growth phase in which GDP increases with time. This phase is labeled “expansion.” The highest point of expansion is labeled “the peak.” After reaching the peak, the line moves downward to depict the contraction phase in which GDP decreases with time. This phase is labeled “contraction” or “recession.” The lowest point of contraction is labeled “the trough.” From the trough, the line again moves upward to indicate the cyclical nature of business over time.

It is usual for the economy to go through periods of growth and contraction, but fiscal policy’s goal is to make sure that expansions are not too rapid, thus leading to a lot of inflation, and contractions are not too severe, thus ending up in major recessions or even depressions.

terms to know
Fiscal Policy
Typically, a policy set by a central government authority whereby spending and/or taxation by the government are adjusted to stabilize economic activity.
Business Cycles
The movement of an economy through expansion, peak, contraction, and trough over time; an assessment of economic activity over time.


2. Expenditure Approach

Now, let’s talk about spending in the economy, circling back to the expenditure approach. You may recall that the expenditure approach to calculating GDP or economic activity does this by adding up what people are spending in the economy.

This is the activity in the output market from our circular flow model.

Notice the money being spent at the top. In this case, we are only going to focus on the domestic market, so we are going to take the imports, exports, and rest of the world out of this equation. We will be looking at movement in the output market regarding goods and services.

The expenditure approach to GDP has been illustrated with the help of a circular flow model diagram. There are four entities in the model. These are firms, governments, households, and the rest of the world. The expenditure approach to the GDP diagram illustrates the flow of expenditures between these entities with the help of arrows.

Here is the expenditure formula and its component parts:

formula to know
Expenditure Formula
table attributes columnalign left end attributes row cell Y space equals italic space C space plus italic space I space plus thin space G space plus thin space left parenthesis X space minus space M right parenthesis end cell row where row cell C space equals space Consumer space Purchases end cell row cell I space equals space Investment space in space Capital space left parenthesis Generally space by space Businesses right parenthesis end cell row cell G space equals space Government space Purchases end cell row cell X space minus space M space equals space Exports space Minus space Imports end cell end table

For now, we are going to take (XM) out of the equation because we are just considering the domestic market.

So, if we only consider domestic spending, there are basically three ways money is spent in our economy:

  • Individual purchases (C)
  • Business investments (I)
  • Government purchases (G)
Therefore, our formula for GDP or economic activity becomes the following:

Y space equals space C space plus space I italic space plus space G

2a. Savings and Investment

Let’s start by solving for I, investment. This is also the same as savings in an economy. Solving for I provides the following:

I italic space equals space Y space minus space C space minus space G

If we add and subtract T, which represents the taxes collected, this provides the following:

I italic space equals space left square bracket Y space minus space left parenthesis C space plus thin space T right parenthesis space plus space left parenthesis T space minus space G right parenthesis right square bracket

In this formula, Y minus C plus T is our public savings, and T minus G is our government savings.

table attributes columnalign left end attributes row cell Y space minus space left parenthesis C space plus space T right parenthesis space equals space Public space Savings end cell row cell left parenthesis T space minus space G right parenthesis space equals space Goverment space Savings end cell end table

We will come back to these shortly to show the impact on government savings.

Savings (S) is defined as income that is not consumed or paid in the form of taxes.

Sometimes, the term investment creates some confusion among students in economics because they associate the word “investment” with investing in the stock market or portfolio investments.

Investment (I) in economics is defined as money that is used on capital resources. For businesses, this would be land, equipment, or buildings. For individuals, it could be something like a home. This is not the same as portfolio investment, so it is not to be confused with the purchase of stocks, bonds, and other investments related to wealth accumulation.

terms to know
Savings (S)
Income that is not consumed or paid in the form of taxes.
Investment (I)
Money that is used on capital resources; for a company, this would be land, equipment, or buildings, and for an individual, this could be a home. This is not the same as portfolio investment, so it is not to be confused with the purchase of stocks, bonds, and other investments related to wealth accumulation.


3. Tools of Fiscal Policy

As mentioned at the beginning of this lesson, the government has two tools of fiscal policy: government spending and taxation.

3a. Government Spending

Now, we know that our government affects the economy by spending money in many areas, such as the following:

  • National defense (direct expenditure)
  • Education and health care (direct expenditure)
  • Welfare programs (transfer payment)
  • Unemployment benefits (transfer payment)
  • Infrastructure (direct expenditure)
Now, the government’s role in the formula for real GDP is that if the government wants to stimulate the economy, it can spend more money in order to create jobs or give people money to spend.

If it needs to slow down an overheated economy where inflation is a concern, it can cut spending levels.

3b. Taxation

All levels of government—federal, state, and local—collect taxes from us in order to fund their programs.

If they want to stimulate the economy, they can cut taxes to give people more money to spend in the economy or create tax incentives or rebates to stimulate investment in the economy.

If they need to slow it down, they can raise taxes or end all tax incentives and rebates—essentially, taking money out of our pockets.


4. Impact of Fiscal Policy on Government Savings

Again, considering only the domestic market, we have these formulas for public savings and government savings.

table attributes columnalign left end attributes row cell Y space minus space left parenthesis C space plus space T right parenthesis space equals space Public space Savings end cell row cell left parenthesis T space minus space G right parenthesis space equals space Goverment space Savings end cell end table

During recessions, government spending should be greater than taxation.

During recessions: G > T

As mentioned, during recessions, the government wants to cut taxes and give us more money, but at the same time, it could also be increasing government spending by creating more programs and giving people more money to spend.

Therefore, you can see why T minus G is going to be negative if government spending is greater than taxation. This means that government savings during recessions would be negative. Instead of having savings, the government would be in debt or running a deficit.

In expansions, in theory, T should be greater than G to offset these deficits that we have incurred during the recession.

In expansions: T > G

Once we recover, taxes should be increased again and/or government spending programs should be cut down.

However, this is politically difficult. Once the government cuts people’s taxes, it is never popular to raise them again. Once it creates government programs, it is not popular to eliminate them.

In reality, it is easy to see why our government deficit has grown so much over the years.

summary
Today, we learned about the goals of fiscal policy, which involve stabilizing economic activity. We learned that the tools of fiscal policy involve taxation and government spending, and these can be used to either expand or contract our economy. We learned how consumer purchases, investment purchases, and government purchases are the three ways in which money is spent in the economy if we use our expenditure approach to calculate GDP. We saw that we could derive public and government savings from the expenditure and income equations (note that savings is the same as investment in an economy). Finally, looking at those equations and the impact of fiscal policy on government savings, it is easy to see politically why our deficit tends to increase over time.

Source: THIS TUTORIAL WAS AUTHORED BY KATE ESKRA FOR SOPHIA LEARNING. PLEASE SEE OUR TERMS OF USE.

Terms to Know
Business Cycles

The movement of an economy through expansion, peak, contraction, and trough over time; an assessment of economic activity over time.

Fiscal Policy

Typically, a policy set by a central government authority whereby spending and/or taxation by the government are adjusted to stabilize economic activity.

Investment (I)

Money that is used on capital resources; for a company, this would be land, equipment, or buildings, and for an individual, this could be a home. This is not the same as portfolio investment, so it is not to be confused with the purchase of stocks, bonds, and other investments related to wealth accumulation.

Savings (S)

Income that is not consumed or paid in the form of taxes.