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Deriving the Multiplier Algebraically definitions

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  • Multiplier
    A factor showing how an initial increase in spending leads to a greater overall rise in GDP through repeated rounds of consumption.
  • Aggregate Expenditures
    The total amount spent on consumption and investment in a private closed economy, determining equilibrium GDP.
  • Private Closed Economy
    An economic model excluding government and international trade, focusing only on households and firms.
  • Consumption Function
    An equation expressing consumption as the sum of autonomous consumption and a portion of income determined by the marginal propensity to consume.
  • Autonomous Consumption
    Spending on goods and services that occurs even when income is zero, covering basic needs.
  • Marginal Propensity to Consume
    The fraction of additional income that is spent on consumption rather than saved.
  • Disposable Income
    Total income available for spending and saving, equal to earned income in the absence of taxes and transfers.
  • Equilibrium GDP
    The level of output where total spending equals total production, ensuring no unplanned inventory changes.
  • Investment
    Expenditures on capital goods that add to future productive capacity, included in aggregate expenditures.
  • Multiplier Effect
    The process by which an initial change in spending results in a larger change in equilibrium GDP.
  • Autonomous Spending
    Expenditures that do not depend on current income, such as basic consumption and investment.
  • Equilibrium
    A state where aggregate expenditures and GDP are equal, resulting in stable output and income.
  • GDP
    The total market value of all final goods and services produced within an economy during a specific period.