9.1 The Circular Flow of Income

The circular flow of income illustrates how money moves between households and firms, incorporating government and external sectors in extended models. The multiplier effect shows how an initial injection leads to a multiplied change in income. Calculations include average/marginal propensities to consume, save, tax, and import. Aggregate demand components—consumption, investment, government spending, and net exports—are affected by factors like the consumption function and accelerator. Equilibrium in national income occurs when AD equals AS, and any discrepancy creates inflationary or deflationary gaps. The model aids in understanding national income determination and the impact of policy or external changes on output.

Chapter 9.1 – The Circular Flow of Income and National Income Determination

9.1.1 The Multiplier Process

Definition:
The multiplier measures how much national income increases as a result of an initial change in injections (like investment or government spending). It explains how expenditure creates income and leads to further spending.

Multiplier Formulas:

  • Basic (2-sector closed economy):
    k = 1 / (1 – MPC) or k = 1 / MPS

  • With government (3-sector):
    k = 1 / (MPS + MRT)

  • Open economy with trade and taxes (4-sector):
    k = 1 / (MPS + MRT + MPM)

Key Propensities and Rates:

  • APC (Average Propensity to Consume) = C / Y

  • APS (Average Propensity to Save) = S / Y

  • APM (Average Propensity to Import) = M / Y

  • MPC (Marginal Propensity to Consume) = ΔC / ΔY

  • MPS (Marginal Propensity to Save) = ΔS / ΔY

  • MPM (Marginal Propensity to Import) = ΔM / ΔY

  • MRT (Marginal Rate of Tax) = ΔT / ΔY

Where:

  • C = consumption

  • S = savings

  • M = imports

  • T = taxes

  • Y = income

  • Δ = change

Key Rule:
A larger leakage (higher MPS, MPM, MRT) leads to a smaller multiplier.

Example:
If MPC = 0.8, then MPS = 0.2, and the multiplier is:
k = 1 / 0.2 = 5

So, a $100 million injection increases national income by $500 million.

9.1.2 Components of Aggregate Demand (AD)

AD = C + I + G + (X – M)
Where:

  • C = consumption

  • I = investment

  • G = government spending

  • X = exports

  • M = imports

1. Consumption (C)

  • Autonomous consumption: occurs even when income is zero.

  • Induced consumption: rises with income.

  • Consumption function:
    C = a + bY
    Where:

    • a = autonomous consumption

    • b = MPC

    • Y = income

Factors affecting consumption:

  • Disposable income

  • Interest rates

  • Wealth

  • Expectations

  • Consumer confidence

2. Savings (S)

  • Savings function (derived from income and consumption):
    S = -a + (1 – b)Y

Factors affecting saving:

  • Interest rates

  • Income level

  • Inflation

  • Government incentives

3. Investment (I)

  • Autonomous investment: not dependent on income

  • Induced investment: varies with economic output

  • Accelerator theory:
    Investment is related to the rate of change in national income, not just the level.
    I = f(ΔY)

Factors affecting investment:

  • Interest rates

  • Business confidence

  • Government policies

  • Expected returns

4. Government Spending (G)

  • Autonomous; can increase AD directly.

  • Used for fiscal policies to influence economic activity.

Determinants:

  • Policy decisions

  • Political priorities

  • Debt levels

  • Tax revenue

5. Net Exports (X – M)

  • Export earnings add to AD; import payments reduce AD.

  • Net exports depend on:

    • Exchange rates

    • Foreign income

    • Domestic income

    • Trade agreements

9.1.3 Equilibrium and Full Employment National Income

Equilibrium National Income
Occurs when:
Aggregate Demand (AD) = Aggregate Supply (AS)
or
Injections (I + G + X) = Withdrawals (S + T + M)

In equilibrium, there’s no tendency for output or income to change.

Full Employment Level of National Income
This is the maximum sustainable level of output an economy can produce when all resources are fully used. It is also known as potential output.

Gaps in National Income:

  • Inflationary Gap:
    When AD > full employment output.
    Leads to demand-pull inflation. Requires contractionary policy.

  • Deflationary Gap:
    When AD < full employment output.
    Leads to unemployment. Requires expansionary policy.

Graphical Representation (suggest diagram insert in WP):

  • 45° Keynesian Cross (AD = Y)

  • AD/AS diagram to show inflationary and deflationary gaps

Summary Table

Concept

Formula / Definition

Multiplier

k = 1 / (MPS + MRT + MPM)

Consumption Function

C = a + bY

APC

C / Y

MPC

ΔC / ΔY

APS

S / Y

MPS

ΔS / ΔY

APM

M / Y

MPM

ΔM / ΔY

MRT

ΔT / ΔY

AD

C + I + G + (X – M)

9.1 The Circular Flow of Income Quiz

Q1. What does the formula C = a + bY represent?

Q2. If the MPS is 0.25, what is the value of the multiplier in a two-sector economy?

Q3. Which of the following is considered a leakage from the circular flow of income?

Q4. The Marginal Propensity to Consume (MPC) is calculated by:

Q5. Which component is not included in Aggregate Demand?

Q6. If national income increases from $100 to $120 and savings increase from $10 to $15, what is the MPS?

Q7. What happens when injections exceed withdrawals in the economy?

Q8. Which of the following causes a deflationary gap?

Q9. The APC (Average Propensity to Consume) is:

Q10. A four-sector economy includes households, firms, government, and: