an economy where the various components of expenditure follow these equations: C = 10 + 0.8Yd I = 500 %3D G = 100 X = 300 M = 0.1Y T = 0.1Y A) Calculate the equilibrium level of GDP in this economy, highlighting what are the values of the Keynesian multiplier and the autonomous components of expenditure. Now assume that aggregate investment is also sensitive to movements of the interest rate: I = 500 – 2,000r %D The money supply is equal to 1,000 and money demand satisfies the following equation: Ma = 2Y – 8,000r B) Solve for the equilibrium levels of output and the interest rate. Explain why the equilibrium level of output is lower than the one obtained in (a). C) Suppose that the government increases the tax rate to 0.15. Calculate the equilibrium effects of this policy and provide an explanation with the help of appropriate diagrams. D) Now assume that the price level can adjust. Using appropriate diagrams, explain the short- run impact of the policy introduced in (v) on aggregate output and the price level and the mechanisms by which output will eventually return to its

an economy where the various components of expenditure follow these equations: C = 10 + 0.8Yd I = 500 %3D G = 100 X = 300 M = 0.1Y T = 0.1Y A) Calculate the equilibrium level of GDP in this economy, highlighting what are the values of the Keynesian multiplier and the autonomous components of expenditure. Now assume that aggregate investment is also sensitive to movements of the interest rate: I = 500 – 2,000r %D The money supply is equal to 1,000 and money demand satisfies the following equation: Ma = 2Y – 8,000r B) Solve for the equilibrium levels of output and the interest rate. Explain why the equilibrium level of output is lower than the one obtained in (a). C) Suppose that the government increases the tax rate to 0.15. Calculate the equilibrium effects of this policy and provide an explanation with the help of appropriate diagrams. D) Now assume that the price level can adjust. Using appropriate diagrams, explain the short- run impact of the policy introduced in (v) on aggregate output and the price level and the mechanisms by which output will eventually return to its

MACROECONOMICS

14th Edition

ISBN:9781337794985

Author:Baumol

Publisher:Baumol

Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?

Section9.A: The Simple Algebra Of Income Determination And The Multiplier

Problem 4TY

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We again assume asimple closed economy with GDP of 100 and:c0(autonomous consumption) = 20c1 (marginal propensity to consume) = 0.6I (investment) = 20.a) Now assume that c0falls by 5 (i.e. 5% of GDP), i.e. for any given level of output,consumption will fall by 5. Show the implied fall in the AD function in yourdiagram and show that output will fall by more than 5.b) Show that the multiplier is equal to 2.5, and hence that, in the new equilibrium,output will have fallen by 12.5 (i.e. by 12.5%)c) How big would the impact be if, say, c1 = 0.4 or c1 = 0.8? Explain the difference.
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