Question

The marginal propensity to expend is .8. Autonomous expenditures are $$\$ 4,200$$. What is the level of equilibrium income in the economy? Demonstrate graphically. LO3

    The marginal propensity to expend is .8. Autonomous expenditures are $$\$ 4,200$$. What is the level of equilibrium income in the economy? Demonstrate graphically. LO3
Macroeconomics
Macroeconomics
David Colander 8th Edition
Chapter 11, Problem 8 ↓

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In this case, the MPE is 0.8, which means that for every additional dollar of income, 80 cents are spent on consumption. Autonomous expenditures are the part of consumption that does not depend on income, which in this scenario is \$4,200. Step 2: Use the  Show more…

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The marginal propensity to expend is .8. Autonomous expenditures are $$\$ 4,200$$. What is the level of equilibrium income in the economy? Demonstrate graphically. LO3
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Key Concepts

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Marginal Propensity to Expend
Marginal propensity to expend is the proportion of an additional unit of income that is spent on consumption or other expenditures. It is a measure similar to the marginal propensity to consume (MPC) and is crucial in determining the size of the multiplier effect. A higher marginal propensity to expend implies that a larger fraction of additional income is spent, leading to a higher multiplier and a greater impact on equilibrium income.
Equilibrium Income
Equilibrium income in macroeconomics is the level of income at which aggregate expenditures are equal to total production. At this point, the economy is in balance and there is no tendency for the overall level of income to change unless an external shock occurs. The equilibrium is generally found on the graph where the aggregate expenditure line intersects the 45-degree line, which represents points where income equals expenditure.
Multiplier Effect
The multiplier effect refers to the process by which an initial change in autonomous spending (such as investment or government expenditure) leads to a larger overall change in equilibrium income. This is quantified by the multiplier formula, which is typically defined as 1 divided by (1 minus the marginal propensity to expend). When the marginal propensity to expend is high, the multiplier is large, resulting in a significant impact on overall income from a small change in spending.
Autonomous Expenditures
Autonomous expenditures are components of total spending in the economy that do not depend on the current level of income. These include certain types of government spending, investments, or other expenditures that occur regardless of the level of income. In the multiplier model, changes in autonomous expenditures directly affect the equilibrium level of income by shifting the aggregate expenditure line up or down.

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The marginal propensity to expend is .8. Autonomous expenditures are $4,200. What is the level of equilibrium income in the economy?

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