Income and Substitution Effects
The government possesses two major fiscal tools for influencing the economy. These tools can be divided into spending tools and revenue tools. Spending tools refer to the overall government spending. On the other hand, revenue tools refer to taxes collected by the government.
Capital expenditure refers to what a government spends on amenities such as schools, roads, and hospitals. This spending adds to a country’s capital stock. Besides, it affects the productivity of a country. Moreover, as the government increases its spending on such facilities, it increases the country’s capital stock. Since such facilities highly encourage investment, the total productivity of a country also increases due to an increase in investments.
Current government spending includes goods and services, which it regularly provides. Such services include defense, health, and education. This expenditure aims at improving a country’s labor productivity.
Transfer payments are payments that the government makes through the social security systems. Transfer payments ensure a minimum level of income for low-income individuals. Also, they provide ways in which the government can change the distribution of income in society.
These benefits include state pensions, housing benefits, income support, and tax credits. It should be stated that such payments are not included in the calculation of the GDP because they are not attached to any factor of production.
Indirect taxes refer to taxes imposed on specific goods such as cigarettes, alcohol, fuel, and services. VAT is an example of an indirect tax. Health and education can be excluded from indirect taxes.
Levies on profit, income, and wealth are direct taxes. Taxes charged on a deceased property can both raise revenue and distribute wealth. They include capital gains tax, national insurance tax, and corporate taxes.
The Fiscal multiplier assists in modeling the effect of Taxes and government spending on aggregate demand.
Typically, a conventional macroeconomic model posits that government spending (G) directly increases aggregate demand (AD) while reducing it through taxes (T). Moreover, the government is increased by payment of transfer benefits (B). As such, the net effect of the government sector on the aggregate demand is mathematically expressed as:
$$ G-T+B=\text{Budget Surplus or Deficit} $$
Denote the net taxes (taxes minus transfers) by NT. Also, denote the net disposable income by YD. As such, the relationship between the national income or output (Y) can be expressed as:
$$ YD= Y-NT=(1 – t)Y $$
Where:
\(t\) = Net tax rate.
From the above equation, net taxes can be seen as a proportion of the national output (Y) so that the total revenue net revenue is \(tY\).
Note that Those who benefit from increased government spending will usually save a fraction \((1 – c)\) of each extra dollar of disposable income, where ‘c’ represents the marginal propensity to consume (MPC) of the additional income.
If we ignore taxes, it is easy to see that $c will be utilized by the recipients to buy more goods and services. Note that these recipients will spend a proportion of \(c^2 (=c\times c=c^2)\). This process persists with both income and expenditure increasing at a steady rate of ‘c’ as it circulates from one entity to another throughout the economy, forming the sum of infinite geometric series given by:
$$ \frac{1}{1-c},\ 0 \lt c \lt 1 $$
The above expression implies that for every additional spending, total income and spending rise by \(\frac{1}{1-c}\) (ignoring taxes).
Before moving on, we must introduce marginal propensity to save (MPS), denoted by s. It is the amount saved out of an additional dollar of disposable income. As such,
$$ c+s=1 $$
So that,
$$ s=1-c $$
Recall that fiscal policies include government spending (G), net taxes (NT), and tax rates, t.
Households allocate a portion ‘c’ of their disposable income, YD, which means they spend:
$$ cYD= c\left(Y – NT\right)= c(1 – t)Y $$
Where:
\(Y\) = Total income or output.
\(NT\) = Net taxes (taxes minus transfers).
\(t\) = Net tax rate.
Note that the marginal propensity to consume in the presence of taxes is then \(c(1 – t)\). As such, when the government elevates its expenditure by a certain amount, G, the disposable income rises by \((1 – t)G\), leading to increased consumer spending by \(c(1 – t)G\).
Assuming there are unused sources of capital and labor in the economy, the recipients of the additional consumption spending will have \((1 – t)c(1 – t)G\) additional disposable income and will spend c.
This cumulative additional expenditure and income will persist in propagating throughout the economy at a diminishing rate, as \(0 \lt c(1 – t) \lt 1\), forming a decreasing geometric series with a common ratio of \(c(1-t)\) which sum to
\(\frac{1}{1-c(1-t)}\)
The above expression is called a multiplier:
$$ \text{Fiscal Multiplier}=\frac{1}{1-c(1-t)} $$
The fiscal multiplier holds significant importance in macroeconomics as it informs us about the magnitude of change in output resulting from exogenous alterations in government spending or taxation. In other words, variations in government spending (G) or tax rates will impact the output of an economy via the value of the multiplier.
Assume that in an economy, the tax rate is 25%, and the marginal propensity to consume is 80%; then the fiscal multiplier will be calculated as:
$$ \frac{1}{1-c(1-t)}=\frac{1}{\left[1 – 0.8\left(1 – 0.25\right)\right]}=\frac{1}{0.40} = 2.5 $$
This implies that if the government increases spending (G) by USD 1 billion, the overall incomes and expenditures will rise by USD 2.5 billion.
Note that if a government increases government spending(G) by the same magnitude as it raises taxes, the aggregate output will increase. This is due to the multiplier effect.
As the marginal propensity to consume from disposable income is less than 1, a one-dollar decrease in YD causes only a $c drop in spending. Therefore, the total reduction in spending is smaller than the tax increase by a multiple of c. Maintaining a balanced budget results in increased output, subsequently causing more increases in both output and income due to the multiplier effect.
It may be intuitive to think that increasing government spending (G) while raising taxes by the same amount would keep the government’s budget deficit/surplus unchanged. However, the rise in output leads to additional tax revenue and further changes in the budgetary position.
It is possible that the government can modify the initial change in spending to precisely offset the total change in total revenues, at which the balance budget multiplier is 1. Note that there is an associated output with this balanced budget multiplier.
Question
Which of the following statements is the most accurate regarding fiscal tools?
- Direct taxes are useful for discouraging alcoholism.
- Indirect taxes cannot be modified quickly; therefore, they are irrelevant fiscal.
policy tools- Government capital spending decisions are slow to plan, implement, and execute; thus, they are of little use for the short-term stabilization of the economy.
Solution
The correct answer is C.
The implementation of capital spending is slower compared to the implementation of changes in indirect taxes.
A is incorrect. Indirect taxes have a greater effect on alcohol consumption as compared to direct taxes.
B is incorrect. Indirect taxes can be modified quickly. In fact, among all the tools, their implementation is the easiest and fastest.