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Understanding Spending and Tax Multipliers

May 5, 2025

Spending and Tax Multipliers

Basic Vocabulary

  • Multiplier effect: An initial change in spending sets off a magnified spending chain in the economy.
  • Marginal propensity to consume (MPC): The portion of each new dollar of disposable income that consumers will spend rather than save.
  • Marginal propensity to save (MPS): The portion of each new dollar of disposable income that consumers will save rather than spend.

MPC and MPS

  • Marginal Propensity to Consume (MPC):

    • Calculated by dividing the change in consumption by the change in disposable income.
    • Example: If income increases by $10,000 (from $50,000 to $60,000) and consumption increases by $9,000 (from $45,000 to $54,000), then MPC = 0.9 ($9,000/$10,000).
  • Marginal Propensity to Save (MPS):

    • Calculated by dividing the change in savings by the change in disposable income.
    • Example: With the same income increase, if savings increase by $1,000, then MPS = 0.1 ($1,000/$10,000).
  • MPC + MPS = 1: For every new dollar, it is either saved or consumed.

Spending Multiplier

  • Initial changes in spending are magnified in the economy using the spending multiplier.

  • Example of spending chain:

    • Business invests $10 → New income, MPC = 0.8 → People spend $8, save $2 → $8 becomes new income, spend $6.40, save $1.60 → Continues until negligible amounts.
  • Spending Multiplier Formula: 1/MPS

  • Calculations may need conversion from MPC to MPS (1 - MPC = MPS) to use this formula.

  • Impact of Exports/Imports:

    • Increase in imports decreases real GDP.
    • Increase in exports increases real GDP.

Tax Multiplier

  • Determines change in spending when taxes change.

  • Opposite of spending multipliers; shows how much spending is reduced with tax increases.

  • Tax Multiplier Formula: -MPC/MPS

  • Example: If MPC = 0.8 and taxes increase by $50:

    • Tax multiplier = -0.8/0.2 = -4
    • GDP change: -4 × $50 = -$200
  • Tax multipliers are smaller than spending multipliers:

    • Spending has a direct effect on the economy.
    • Taxes influence spending indirectly through disposable income.

Key Terms to Review

  • Marginal Propensity to Save (MPS): Portion of income saved, crucial for understanding fiscal policy impacts.
  • Marginal Propensity to Consume (MPC): Portion of income spent, plays a role in consumer behavior analysis.
  • Multiplier Effect: Initial spending changes cause larger economic activity changes.
  • Spending Multiplier: Measures overall economic impact of spending changes.
  • Tax Multiplier: Measures economic output change due to tax changes, important for fiscal policy evaluation.