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Equilibrium Output, Multiplier and Problems of Demand — Notes

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1. Equilibrium income: AD = AS

  • AD = C + I (two sectors); AS = Y, shown by the forty-five degree line.
  • Equilibrium: AD = AS. With C = a + bY and investment I, Y = (a + I) ÷ (1 − b).
  • Imagined Tarangpur: C = 60 + 0.8Y, I = 40, so Y = 100 ÷ 0.2 = 500.
  • Break-even income (C = Y) is 300, a different point: there saving is zero, but investment is 40.
Imagined economy, ₹ crore: C = 60 + 0.8Y, I = 40; equilibrium where AD meets the 45° line.
Imagined figures, ₹ crore.
YCSIAD = C + IOutput will…
060-6040100rise
100140-4040180rise
200220-2040260rise
300300040340rise
4003802040420rise
5004604040500stay (equilibrium)
6005406040580fall
7006208040660fall

Key terms

Equilibrium income

The income at which planned aggregate demand equals aggregate supply.

Forty-five degree line

The line on which spending equals income; it represents aggregate supply.

2. Equilibrium income: S = I, and adjustment

  • AS = C + S and AD = C + I, so AD = AS is the same as planned S = planned I.
  • AD > AS (I > S): stocks fall below plan, firms expand, income rises.
  • AD < AS (S > I): unsold stocks build up, firms cut back, income falls.
  • The adjustment stops only at equilibrium.
Same economy: S = −60 + 0.2Y meets I = 40 at the same income, 500.
Below equilibrium
Above equilibrium

Key terms

Leakage

Income not passed on as spending, such as saving.

Injection

Spending added from outside consumption, such as investment.

Unplanned inventory change

A rise or fall in stocks that firms did not intend; the signal that output is not at equilibrium.

3. The investment multiplier

  • k = ΔY ÷ ΔI = 1 ÷ (1 − MPC) = 1 ÷ MPS.
  • Working: new investment becomes income; a share (the MPC) is spent and becomes others' income; rounds shrink by the MPC; their sum is k × ΔI.
  • Imagined metro project: ΔI = 100, MPC = 0.8: rounds 100, 80, 64, 51.2…, total 500.
  • Range: k = 1 when MPC = 0; k grows without limit as MPC approaches 1. It works backwards too.
  • Tarangpur: ΔI = 20 raises income from 500 to 600.
Imagined figures: rounds shrink by the MPC; total = k × ΔI = 5 × 100 = 500.
The higher the MPC, the larger the multiplier; k is never below 1.
MPCMPSk = 1 ÷ MPS
011
0.50.52
0.750.254
0.80.25
0.90.110
ΔI = 20 shifts AD up by 20; ΔY = k × ΔI = 5 × 20 = 100.

Key terms

Investment multiplier

The number of times income changes for a given change in investment.

Marginal propensity to save

The share of extra income that is saved; the multiplier is its reciprocal.

4. Full employment and involuntary unemployment

  • Full employment: no involuntary unemployment; frictional and voluntary idleness can remain.
  • Involuntary unemployment: willing to work at the prevailing wage, but no work available.
  • In Keynesian theory equilibrium depends on effective demand, so the economy can rest at an underemployment equilibrium with output below its full-employment level.
Table of employment terms: full employment, where all who are able and willing to work at the going wage have jobs; involuntary unemployment, where people willing to work at the going wage cannot find work; frictional unemployment between jobs; and voluntary unemployment of those unwilling to work at the going wage
TermMeaningExample (imagined)
Full employmentAll able and willing to work at the going wage have jobsA town where any willing worker finds work at the going wage
Involuntary unemploymentWilling to work at the going wage but cannot find workA trained welder who would accept the going wage, with no openings
Frictional unemploymentShort spells between jobsA nurse moving to a new hospital next month
Voluntary unemploymentNot willing to work at the going wageSomeone who chooses to wait for a far higher wage
Keynes: equilibrium need not be at full employment

Key terms

Full employment

A state in which all who are able and willing to work at the going wage are employed.

Involuntary unemployment

Unemployment of people willing to work at the going wage who cannot find jobs.

Underemployment equilibrium

An equilibrium in which output is below the full-employment level.

5. Excess and deficient demand

  • Inflationary gap (excess demand) = AD at full-employment output − that output. Main effect: prices rise, since output cannot.
  • Deflationary gap (deficient demand) = full-employment output − AD there. Effects: output and employment fall, involuntary unemployment.
  • Imagined Hiranagar, AD = 120 + 0.6Y: with Yf = 400, gap = 40 (deflationary); with Yf = 250, gap = 20 (inflationary).
  • To close a deflationary gap, extra spending equal to the gap is enough: k × gap = 2.5 × 40 = 100.
Imagined economy, ₹ crore: AD = 120 + 0.6Y; gap measured at full employment.
Same AD, Yf = 250: AD exceeds output at full employment by 20.
Imagined figures, ₹ crore. Gaps are measured at full employment.
Full-employment output YfAD at YfGapKind
40036040Deflationary (AD < Yf)
25027020Inflationary (AD > Yf)
Table comparing excess and deficient demand: causes such as more public spending or easy credit against lower investment or exports; effects on output, prices and jobs
Excess demandDeficient demand
CausesMore public spending, easy credit, higher exports, lower savingLower investment, lower exports, higher saving, tighter credit
Effect on outputCannot rise beyond full employmentFalls below full employment
Effect on pricesRiseStay low or fall
Effect on jobsNo new jobsInvoluntary unemployment

Key terms

Inflationary gap

The excess of aggregate demand over output at full employment.

Deflationary gap

The shortfall of aggregate demand below output at full employment.

6. Measures to correct excess and deficient demand

  • Fiscal: government spending and taxes (and public borrowing). Excess demand: spend less, tax more. Deficient demand: spend more, tax less.
  • Monetary (quantitative): repo and bank rate, CRR and SLR, open market operations. Excess demand: raise rates and ratios, sell securities. Deficient demand: the reverse.
  • Monetary (qualitative): margin requirements, credit rationing, moral suasion, direct action — aimed at particular uses of credit.
  • Fiscal steps change AD directly; monetary steps work through borrowing, which may respond slowly when expectations are weak.
Directions only; no current policy values are stated.
InstrumentAgainst excess demandAgainst deficient demand
Government spendingCutRaise
TaxesRaiseCut
Repo rate / bank rateRaiseCut
CRR and SLRRaiseCut
Open market operationsSell securitiesBuy securities
Margin requirementsRaiseLower
Monetary transmission (deficient demand)

Key terms

Fiscal policy

Changes in government spending and taxation to influence aggregate demand.

Monetary policy

Changes in the cost and availability of credit by the central bank.

Repo rate

The rate at which the central bank lends short-term funds to commercial banks.

Exam tips

Common mistakes

  • Calling the break-even income (C = Y) the equilibrium income.
  • Measuring a gap at the equilibrium income instead of at full-employment output.
  • Saying the multiplier can be less than one.
  • Suggesting a tax cut or a repo cut for excess demand.
  • Saying excess demand at full employment raises output.

How marks are usually awarded

  • 1 mark: one correct choice or a precise term.
  • 2 marks: a definition with an example, or two short points.
  • 3 marks: three steps of a calculation or three distinct points.
  • 5 marks: parts with working, a described diagram and reasons.

All economies and figures in SOYL practice are imagined; state units (₹ crore) in every answer.