Determination of Income and Employment

Aggregate Demand, Supply and the Consumption FunctionAPC, MPC, APS, MPS and the Investment MultiplierEquilibrium, Full Employment and the Gaps

Aggregate Demand, Supply and the Consumption Function

In macroeconomics the level of income and employment is decided by total spending and total output. Aggregate Demand (AD) is the total planned expenditure on goods and services in the economy in a period. Its components are C + I + G + (X − M) — consumption, investment, government spending and net exports. Aggregate Supply (AS) is the total value of goods and services that all producers plan to supply, which equals the total income generated. The level of output where AD equals AS is called effective demand, and it determines the equilibrium income and employment.

The largest part of AD is consumption. The consumption function shows how consumption (C) depends on income (Y): C = a + bY, where a is autonomous consumption (consumption even at zero income) and b is the slope. The line slopes upward but is flatter than the 45° line (where C = Y); the two cross at the break-even point, where consumption exactly equals income.

Figure — Aggregate Demand, Supply and the Consumption Function
ConsumptionIncome (Y)45° (C=Y)C = a + bYBreak-evena
1
Worked Example
Example 1: What are the components of Aggregate Demand?
Solution

It is total planned spending.

  • Consumption (C) + Investment (I) + Government spending (G) + Net exports (X − M).
2
Worked Example
Example 2: In C = a + bY, what do 'a' and the break-even point mean?
Solution

Intercept and where C = Y.

  • 'a' is autonomous consumption (consumption at zero income).
  • The break-even point is where consumption equals income (C = Y).
3
Worked Example
Example 3: What is effective demand?
Solution

It is where AD = AS.

  • The level of output where aggregate demand equals aggregate supply.
  • It determines equilibrium income and employment.

Key Points

    • AD = total planned spending = C + I + G + (X − M); AS = total planned output (= income).
    • Effective demand = output where AD = AS (sets income & employment).
    • Consumption function C = a + bY (a = autonomous consumption); crosses the 45° line at the break-even point (C = Y).
✎ Quick Check — 2 questions0 / 2
Q1.Aggregate demand equals:
Explanation: AD = C + I + G + (X − M).
Q2.The level of output where AD equals AS is called:
Explanation: Effective demand is where AD = AS — it fixes income and employment.

APC, MPC, APS, MPS and the Investment Multiplier

Income is either consumed or saved, so Y = C + S. Four ratios describe how income is split:

  • APC (Average Propensity to Consume) = C ÷ Y — the fraction of total income consumed.
  • MPC (Marginal Propensity to Consume) = ΔC ÷ ΔY — the fraction of extra income consumed (the slope of the consumption function).
  • APS (Average Propensity to Save) = S ÷ Y; MPS (Marginal Propensity to Save) = ΔS ÷ ΔY.

Since income is consumed or saved, APC + APS = 1 and MPC + MPS = 1. For example, if MPC = 0.8, then MPS = 0.2.

Now the key macro idea: a change in investment causes a larger change in income, because of the investment multiplier (k). When firms invest, that spending becomes someone's income, who spends a part of it (MPC), becoming further income, and so on — a chain that multiplies the original investment:

k = 1 ÷ (1 − MPC) = 1 ÷ MPS

and the change in income is ΔY = k × ΔI. For example, if MPC = 0.8, then k = 1 ÷ (1 − 0.8) = 1 ÷ 0.2 = 5. An extra investment of ₹100 crore then raises income by 5 × 100 = ₹500 crore. The higher the MPC, the bigger the multiplier (more is re-spent each round). The multiplier is one of the most powerful ideas in macroeconomics — it shows how a small injection of spending can have a large effect on the whole economy.

1
Worked Example
Example 1: If MPC = 0.75, find MPS and the multiplier.
Solution

MPS = 1 − MPC; k = 1 ÷ MPS.

  • MPS = 1 − 0.75 = 0.25.
  • k = 1 ÷ 0.25 = 4.
2
Worked Example
Example 2: With MPC = 0.9, an investment of ₹200 crore raises income by how much?
Solution

Find k then ΔY = k × ΔI.

  • k = 1 ÷ (1 − 0.9) = 1 ÷ 0.1 = 10.
  • ΔY = 10 × 200 = 2,000 crore.
3
Worked Example
Example 3: Why is APC + APS always equal to 1?
Solution

All income is consumed or saved.

  • Y = C + S, so dividing by Y gives C/Y + S/Y = 1.
  • That is APC + APS = 1.

Key Points

    • Y = C + S; APC = C/Y, MPC = ΔC/ΔY, APS = S/Y, MPS = ΔS/ΔY.
    • APC + APS = 1; MPC + MPS = 1.
    • Multiplier k = 1/(1−MPC) = 1/MPS; ΔY = k × ΔI. Higher MPC → bigger multiplier.
✎ Quick Check — 2 questions0 / 2
Q1.If MPC = 0.8, the investment multiplier is:
Explanation: k = 1 ÷ (1 − 0.8) = 1 ÷ 0.2 = 5.
Q2.MPC + MPS equals:
Explanation: Extra income is consumed or saved, so MPC + MPS = 1.

Equilibrium, Full Employment and the Gaps

The economy is in equilibrium at the income level where planned AD = AS (equivalently, where planned saving = planned investment). At this income, total spending exactly buys total output, so producers have no reason to change output.

An important point of Keynesian economics is that this equilibrium need not be at full employment (where everyone willing to work has a job). The economy can settle at an underemployment equilibrium — output is steady, but below the full-employment level, leaving people unemployed. This is exactly what happened in the Great Depression. The level of aggregate demand decides whether we reach full employment.

Comparing actual AD with the AD needed for full employment gives two important "gaps":

  • Deflationary gap (recessionary gap) — when AD is less than the level needed for full employment. There is too little spending, so output and employment fall below full employment — causing unemployment and falling prices. The cure is to raise AD (the government spends more or cuts taxes; the RBI eases money).
  • Inflationary gap — when AD is more than the full-employment level. Demand exceeds what the economy can produce, so prices are pulled up — causing inflation. The cure is to reduce AD (the government spends less or raises taxes; the RBI tightens money).

So the whole theory comes together: aggregate demand determines income and employment; if AD is too low we get a deflationary gap and unemployment, and if AD is too high we get an inflationary gap and rising prices. The government uses fiscal and monetary policy to push AD toward the full-employment level — the central task of macroeconomic management.

1
Worked Example
Example 1: State the condition for equilibrium income.
Solution

Planned spending equals output.

  • AD = AS (equivalently, planned saving = planned investment).
2
Worked Example
Example 2: What is a deflationary gap, and how is it corrected?
Solution

AD is too low.

  • AD is less than the full-employment level, causing unemployment.
  • Cure: raise AD (more government spending / lower taxes / easier money).
3
Worked Example
Example 3: What causes an inflationary gap, and how is it cured?
Solution

AD is too high.

  • AD exceeds the full-employment level, pulling prices up (inflation).
  • Cure: reduce AD (less government spending / higher taxes / tighter money).

Key Points

    • Equilibrium: planned AD = AS (saving = investment); may be at underemployment, not full employment.
    • Deflationary gap: AD < full-employment level → unemployment; cure = raise AD.
    • Inflationary gap: AD > full-employment level → inflation; cure = reduce AD.
    • Government steers AD with fiscal & monetary policy.
✎ Quick Check — 2 questions0 / 2
Q1.Equilibrium income is where AD equals AS, or where planned saving equals planned:
Explanation: Equilibrium is where planned saving = planned investment (AD = AS).
Q2.When AD is less than the full-employment level, there is a:
Explanation: AD below full employment is a deflationary (recessionary) gap.