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Understanding Multiplier and Accelerator Effects

May 1, 2025

Lecture Notes: Multiplier and Accelerator Effects in Macroeconomics

Introduction

  • Advanced theories in macroeconomics: Multiplier and Accelerator
  • Important for essays and understanding economic growth

Multiplier Effect

Definition

  • Multiplier: Process where changes in components of Aggregate Demand (AD) lead to greater changes in National Output.
  • An increase in AD shifts AD curve to the right, increasing national output.
  • Multiplier effect implies further increase beyond initial shift due to a cycle of income and spending.

Mechanism

  • Initial spending increases income, leading to further spending by others.
  • Creates a virtuous cycle of income and spending.
  • AD continuously shifts right, increasing National Output beyond initial spending.

Calculation

  • Multiplier formula: ( \text{Multiplier} = \frac{1}{1 - \text{MPC}} )

    • MPC (Marginal Propensity to Consume): Proportion of additional income spent.
    • Range between 0 (none spent) and 1 (all spent).
    • Example: If extra income is £50 and £25 is spent, MPC = 0.5.
  • Alternatively, use ( \text{Multiplier} = \frac{1}{\text{MPW}} )

    • MPW (Marginal Propensity to Withdraw): Proportion of income not consumed (savings, taxes, imports).

Example

  • Government injects £100 million, MPC = 0.8:
    • Initial spend £100 million, then £80 million spent, continues...
    • Multiplier = ( \frac{1}{1-0.8} = 5 )
    • Final GDP change: £100 million x 5 = £500 million
    • Multiplier effect adds £400 million to National Output.

Diagram and Impact

  • Diagram: AD shifts from AD1 to AD2 to AD3 due to multiplier.
  • Final equilibrium further to the right than initial shift only.

Determinants of Multiplier Size

  • Higher MPC = Larger Multiplier
  • Factors reducing MPC:
    • High saving rates
    • High taxation
    • High import spending

Accelerator Effect

Definition

  • Accelerator: Links changes in investment to changes in GDP growth rate.
  • Focuses on firm investment, not consumer spending.

Mechanism

  • Faster GDP growth rate encourages more investment.
  • Firms invest more when they expect future demand to be high.
  • Slowing or negative GDP growth reduces investment.

Impact

  • Higher GDP growth rate increases investment, enhancing growth.
  • Slowing GDP growth reduces investment, decreasing AD and GDP growth.

Application

  • Both effects explain business cycle dynamics.

Conclusion

  • Understanding multiplier and accelerator effects essential for analyzing economic fluctuations and growth cycles.
  • Utilize these theories in economic analyses and essays.