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
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.
