Macroeconomics Notes

Macroeconomic Equilibrium

  • This section discusses macroeconomic equilibrium, focusing on how to measure and analyze the overall economy.

Key Concepts

  • National Income Equilibrium: The point where aggregate demand equals aggregate supply.
  • Leakages (W): Withdrawals of money from the circular flow of income (savings, taxes, and imports).
  • Injections (J): Additions of money into the circular flow of income (investment, government spending, and exports).

National Income and Expenditure

  • National income can be measured using the expenditure approach: Y = C + I + G + NX where:
    • Y = National Income
    • C = Consumption
    • I = Investment
    • G = Government Spending
    • NX = Net Exports (Exports - Imports)

Components of Aggregate Expenditure

  1. Consumption (C): Spending by households on goods and services. It's a major driver of economic activity.
    • Influenced by disposable income.
    • A significant portion is spent on essential items.
    • It is the largest component of aggregate expenditure. Consumption is determined by disposable income, where an increase in income generally leads to increased consumption.

Equilibrium Condition

  • Equilibrium occurs when total leakages equal total injections: W = J
    • S + T + M = I + G + X
    • Savings (S) + Taxes (T) + Imports (M) = Investment (I) + Government Spending (G) + Exports (X)

Consumption Function

  • The consumption function relates consumption expenditure to disposable income.
  • Equation: C = a + bY_d
    • C = Consumption
    • a = Autonomous Consumption (consumption independent of income)
    • b = Marginal Propensity to Consume (MPC)
    • Y_d = Disposable Income
  • MPC (Marginal Propensity to Consume): change in consumption / change in disposable income \frac{\Delta C}{\Delta Y_d}

Savings Function

  • Relates savings to disposable income.
  • Equation: S = -a + (1-b)Y_d
    • -a = Dissaving (when consumption exceeds income)
    • (1-b) = Marginal Propensity to Save (MPS)
  • MPS (Marginal Propensity to Save) = change in savings / change in disposable income \frac{\Delta S}{\Delta Y_d}

Key Relationships

  • MPC + MPS = 1
  • APC + APS = 1
    • APC (Average Propensity to Consume) = \frac{C}{Y_d}
    • APS (Average Propensity to Save) = \frac{S}{Y_d}

Important Considerations

  • As disposable income increases, the MPC generally decreases while the MPS increases.
  • In a basic macroeconomic model, autonomous consumption (a) should be greater than zero.

Investment Expenditure (I)

  • Investment includes spending on new plants, equipment, and inventory.
  • It is a crucial injection into the economy.
  • Fluctuations in investment can significantly impact economic output.

Simple Model

  • Model: Y = C + I
  • Where:
    • C = 450 + 0.6Y
    • I = 150
  • Equilibrium Condition: Y = E
    • Y = 450 + 0.6Y + 150
    • 0.4Y = 600
    • Y = 1500
  • Leakages and Injections: W = J
    • -450 + 0.4Y = 150
    • 0.4Y = 600
    • Y = 1500
  • Consumption = 450 + 0.6Y, savings = −450 + 0.4Y.

Graphical Representation

  • The equilibrium point can be shown graphically where the aggregate expenditure line intersects the 45-degree line.

Government Sector

  • Introducing government spending (G) and taxes (T) to the model.

New Variables

  • Net Taxes (NT = Taxes - Transfers).
  • Disposable Income (Yd = Y - NT).
  • New Equilibrium Condition: Y = C + I + G
  • Which can be written as Y = C + S + NT
  • Therefore at equilibrium: C + I + G = C + S + NT
  • I + G = S + NT
  • Leakages (W) = S + NT
  • Injections (J) = I + G

Disposable income

  • Y_d = Y - NT

Multipliers

Simple Multiplier

  • K = \frac{1}{1-MPC} = \frac{1}{MPS}

With Income Tax

  • K = \frac{1}{MPS + MPT}

Interpretation

  • The multiplier effect shows how a change in autonomous expenditure can lead to a larger change in national income.
  • Example: If investment increases by x, national income increases by a multiple of x.

Open Economy

  • In an open economy, trade and international capital flows are considered.

Additional Variables

  • Exports (X) and Imports (M).
  • Net Exports (NX = X - M).

Equilibrium Condition

  • Y = C + I + G + NX
  • Since Y = C + S + NT
  • and E = C + I + G + NX
  • At equilibrium C + S + NT + M = C + I + G + X
  • Therefore S + NT + M = I + G + X
  • Leakages = S + NT + M
  • Injections = I + G + X