Consider an economy described by the following equations: Y = C + I + G C = 100 + 0.75( Y – T ) I = 500 – 50 r G = 125 T = 100 where Y is GDP, C is consumption, I is investment, G is government purchases, T is taxes, and r is the interest rate. If the economy were at full employment (that is, at its natural rate), GDP would be 2,000. a. Explain the meaning of each of these equations. b. What is the marginal propensity to consume in this economy? c. Suppose the central bank’s policy is to adjust the money supply to maintain the interest rate at 4 percent, so r = 4. Solve for GDP. How does it compare to the full-employment level? d. Assuming no change in monetary policy, what change in government purchases would restore full employment? e. Assuming no change in fiscal policy, what change in the interest rate would restore full employment? To find additional study resources, visit cengagebrain.com, and search for “Mankiw.”

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Principles of Economics (MindTap C...

8th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305585126
BuyFind

Principles of Economics (MindTap C...

8th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305585126

Solutions

Chapter
Section
Chapter 34, Problem 11PA
Textbook Problem

Consider an economy described by the following equations:

       Y = C + I + G

       C = 100 + 0.75(YT)

       I = 500 – 50r

       G = 125

       T = 100

 where Y is GDP, C is consumption, I is investment, G is government purchases, T is taxes, and r is the interest rate. If the economy were at full employment (that is, at its natural rate), GDP would be 2,000.

  1. a. Explain the meaning of each of these equations.
  2. b. What is the marginal propensity to consume in this economy?
  3. c. Suppose the central bank’s policy is to adjust the money supply to maintain the interest rate at 4 percent, so r = 4. Solve for GDP. How does it compare to the full-employment level?
  4. d. Assuming no change in monetary policy, what change in government purchases would restore full employment?
  5. e. Assuming no change in fiscal policy, what change in the interest rate would restore full employment?

 To find additional study resources, visit cengagebrain.com, and search for “Mankiw.”

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Chapter 34 Solutions

Principles of Economics (MindTap Course List)

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