मराठी

Determination of Equilibrium Income in the Short Run - Effect of an Autonomous Change in Aggregate Demand on Income and Output

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Estimated time: 12 minutes
CBSE: Class 12

Equilibrium of Income

  • Equilibrium is determined where the AD curve intersects the 45° line.
  • At this point: Output = Aggregate Demand
  • The 45° line represents all points where income equals expenditure.
CBSE: Class 12

Effect of an Increase in Autonomous Expenditure

  • When autonomous investment rises, the AD curve shifts upward (AD₁ → AD₂).
  • At the old equilibrium point E₁, AD₂ lies above the 45° line, creating excess demand.
  • To clear the excess demand, firms increase output.
  • A new equilibrium E₂ is established at a higher level of income.
CBSE: Class 12

Example

Parameter Initial After Change
Autonomous Investment \[\overline{I}\] 10 20
Equilibrium Income (Y) 250 300
  • Consumption Function: \[C = 40 + 0.8Y\]
  • Change in Investment (ΔI) = 10
  • Change in Income (ΔY) = 50
CBSE: Class 12

Graphical Interpretation (Fixed Price Model)

Equilibrium Output and Aggregate Demand in the Fixed Price Model

  • X-axis: Income / Output
  • Y-axis: Aggregate Demand
  • AD₁ shifts to AD₂ (parallel upward shift) due to an increase in autonomous investment.
  • E₁ = Old equilibrium (Y = 250)
  • E₂ = New equilibrium (Y = 300)
  • Vertical distance between AD₁ and AD₂ = Initial increase in autonomous expenditure \[(\Delta\bar{I}=10)\].
  • At the old equilibrium, E₁F measures the excess demand created by the increase in autonomous expenditure.
  • Increase in output and aggregate demand is shown by E₁G = E₂G, which is greater than the initial increase in autonomous expenditure.
CBSE: Class 12

Multiplier Observation

  • The final increase in output and aggregate demand is greater than the initial increase in autonomous expenditure.
  • Thus, an initial increment in autonomous expenditure seems to have a multiplier effect on equilibrium output and aggregate demand.
CBSE: Class 12

Key Points: Effect of an Autonomous Change in Aggregate Demand on Income and Output

  • Equilibrium income is where the AD curve cuts the 45° line (AD = Output).
  • An autonomous rise in investment shifts the AD curve upward, creating excess demand.
  • Firms increase output in response to excess demand, raising income.
  • The final increase in equilibrium income is greater than the initial increase in autonomous expenditure, indicating a multiplier effect.
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