Define government purchases multiplier and tax multiplier.

Short Answer

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The government purchases multiplier is the larger change in aggregate output caused by an initial change in government purchases, and is calculated as the inverse of (1 – the economy's marginal propensity to consume). The tax multiplier, on the other hand, is the change in aggregate output caused by a change in taxation, and is calculated as the marginal propensity to consume minus one.

Step by step solution

01

Define Government Purchases Multiplier

The government purchases multiplier is the concept in economics that suggests that an initial change in government purchases (increased or decreased spending) leads to a larger change in aggregate output (or Gross Domestic Product - GDP). It is calculated as the inverse of (1 – the economy's marginal propensity to consume). Hence, its formula is \( \frac{1}{(1 - marginal propensity to consume)} \). An increase in government spending initially boosts the economy which then circulates in the economy leading to an increase in income and further consumption.
02

Define the Tax Multiplier

The tax multiplier is the ratio of change in aggregate output or GDP to the change in government tax revenues, when all other factors are held constant. Simply put, it is the change in output stimulated by changes in taxation. The tax multiplier is calculated as the marginal propensity to consume minus one. Hence, its formula is \( (marginal propensity to consume - 1) \). An increase in taxes effectively reduces disposable income, thus reducing consumption and, by extension, aggregate output.

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