Exam 22: Deriving the Formula for the Keynesian Multiplier and the Forward-Looking Consumption Model

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The permanent income model implies that

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If the expenditure line is steeper, the Keynesian multiplier will be larger.

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Sketch the 45-degree line and the expenditure line on a diagram. Use this diagram to show what happens to the level of income if government purchases decline. Does income decrease by more or by less than the downward shift in government purchases? Explain.

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As shown in the diagram below, a decline in government purchases causes the aggregate expenditure line to shift down in a parallel way to E1 from E0. Notice that the resulting change in the point of spending balance or income is larger than the change in government purchases. The change in income is greater than the change in spending because consumption is sensitive to changes in income, and there will be a multiplier effect. As shown in the diagram below, a decline in government purchases causes the aggregate expenditure line to shift down in a parallel way to E<sub>1</sub> from E<sub>0</sub>. Notice that the resulting change in the point of spending balance or income is larger than the change in government purchases. The change in income is greater than the change in spending because consumption is sensitive to changes in income, and there will be a multiplier effect.

In 2008, the government under the Bush administration implemented a tax cut in the form of a one-time tax rebate. That tax cut had only a small impact on personal consumption expenditure and real GDP. Explain.

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The Keynesian multiplier will be higher if

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According to the permanent income model, the marginal propensity to consume is larger in the case of a permanent change in income than a temporary change in income.

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The Keynesian multiplier relies on the assumption that people are forward looking.

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The formula for the Keynesian multiplier without net exports is

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The forward-looking model implies that the Keynesian multiplier is greater for a temporary tax cut than a permanent tax cut.

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All else being equal, a higher propensity to import leads to a larger Keynesian multiplier.

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The rational expectations assumption implies that anticipated tax changes have no impact on consumption at all.

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The spending multiplier is the ratio of the change in real GDP to

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Which of the following measures the change of real GDP in the short run as a result of a an increase in government purchases?

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The forward-looking model predicts that the marginal propensity to consume is constant over time.

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Suppose that MPC = 0.8 and MPI = 0. According to the Keynesian multiplier, an increase of $20 million in government purchases will

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Suppose in 2010, real GDP was $160 trillion. Suppose further that the marginal propensity to consume was 0.75 and the marginal propensity to import was 0.25. Using the Keynesian multiplier, how much should government purchases be changed if policymakers attempt to raise real GDP to $180 trillion by changing government purchases?

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The formula for the Keynesian multiplier with net exports is

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The size of the Keynesian multiplier depends on

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According to the forward-looking model, consumption

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The permanent income model implies the same relationship between changes in consumption and income as

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