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IB DP Economics - Unit 3 - Keynesian multiplier (HL only)-Study Notes - New Syllabus

IB DP Economics -Unit 3 – Keynesian multiplier (HL only)- Study Notes- New syllabus

IB DP Economics -Unit 3 – Keynesian multiplier (HL only)- Study Notes -IB DP Economics – per latest Syllabus.

Key Concepts:

Keynesian multiplier (HL only)

• ( \dfrac{1}{1-\text{MPC}} ) or
• ( \dfrac{1}{\text{MPS}+\text{MPT}+\text{MPM}} )

MPC — marginal propensity to consume

MPS — marginal propensity to save

MPT — marginal propensity to tax

MPM — marginal propensity to import

Calculation (HL only): Keynesian multiplier
Calculation (HL only): the effect on GDP of a change in an injection in investment, government spending or exports, using the Keynesian multiplier

IB DP Economics -Concise Summary Notes- All Topics

Keynesian Multiplier (HL Only)

The Keynesian multiplier refers to the process by which an initial change in spending leads to a larger final change in national income (GDP).

Initial injection → More income → More spending → Larger increase in GDP

Explanation:

  • An increase in spending creates income for others.
  • Part of this income is spent again, creating further income.
  • This process continues repeatedly through the economy.

Formula of the Multiplier

The simple Keynesian multiplier formula is:

$ \mathrm{k=\frac{1}{1-MPC}}$

Where:

  • k = multiplier
  • MPC = marginal propensity to consume

Alternative Formula (HL)

$ \mathrm{k=\frac{1}{MPS+MPT+MPM}}$

Where:

  • MPS = marginal propensity to save
  • MPT = marginal propensity to tax
  • MPM = marginal propensity to import

Important Concepts:

Marginal Propensity to Consume (MPC)

MPC is the proportion of additional income that households spend on consumption.

MPC = Change in consumption ÷ Change in income

  • Higher MPC → Larger multiplier effect.
  • More spending creates more rounds of income generation.

Marginal Propensity to Save (MPS)

MPS is the proportion of additional income that households save.

MPS = Change in saving ÷ Change in income

  • Saving is a leakage from the circular flow.
  • Higher MPS reduces the multiplier.

Marginal Propensity to Tax (MPT)

MPT is the proportion of additional income paid in taxes.

  • Taxes reduce disposable income.
  • Higher MPT weakens the multiplier effect.

Marginal Propensity to Import (MPM)

MPM is the proportion of additional income spent on imports.

  • Imports are leakages from the domestic economy.
  • Higher MPM lowers the multiplier.

How the Multiplier Works:

  • Government increases spending or investment rises.
  • Firms receive more income.
  • Workers receive wages and spend part of their income.
  • This creates further increases in demand and output.

Economic Significance:

  • Shows how fiscal policy affects GDP.
  • Explains why injections can have a large impact on economic activity.
  • Important in recession recovery policies.

Evaluation:

  • The multiplier is smaller when leakages are large.
  • If the economy is near full employment, multiplier effects may cause inflation.
  • Time lags may reduce effectiveness.

Key Ideas:

  • The multiplier causes a larger final change in GDP.
  • Higher MPC increases the multiplier.
  • Leakages reduce the multiplier effect.
  • Used to explain effects of fiscal policy.

Example 1

Calculate the multiplier if MPC = 0.8.

▶️ Answer / Explanation

Using the formula:

$k=\frac{1}{1-0.8}}$

k = 5

The multiplier is 5.

Example 2

If government spending increases by $20 billion and the multiplier is 4, calculate the increase in GDP.

▶️ Answer / Explanation

Change in GDP = Multiplier × Initial injection

$\Delta Y=4\times20]$

ΔY = $80 billion

GDP increases by $80 billion.

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