Consumption (C) is 600 when income (Y) is equal to 1500. Solve for autonomousconsumption.                                                                                                                                         Solve for the equilibrium level of output in the following two scenarios: there isan income tax t=0.1, there is no income tax in the economy.

Economics For Today
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Chapter18: The Keynesian Model
Section: Chapter Questions
Problem 9SQP
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  1. You are given data on the following variables in an economy:

Government spending                           300

Planned investment                               200

Net exports                                           50

Autonomous taxes                                250

Income tax rate                                    0.1

Marginal propensity to consume            0.5

 

Use the data above to answer the following questions.

  1. Consumption (C) is 600 when income (Y) is equal to 1500. Solve for autonomousconsumption.                                                                                                                                        
  2. Solve for the equilibrium level of output in the following two scenarios:
    1. there isan income tax t=0.1,
    2. there is no income tax in the economy.
  • Denote these two variablesby and  respectively.                                                 
  1. In the economy with an income tax of 10%, what is the budget balance of thegovernment?
  2. Solve for the change in net exports that would bring the equilibrium output levelin the economy with the income tax to the level of that you found in part b. Specify boththe magnitude of the change and whether it is an increase or a decrease. What would be thenew level of net exports after this change?
  3. Suppose that we would like to achieve the same goal (as in part d) by changing thelevel of autonomous taxes instead of that of net exports. So, net exports remain at 50 andthe level of autonomous taxes changes instead. Find the necessary magnitude of the changeand specify whether autonomous taxes would have to increase or decrease. What would bethe new level of autonomous taxes that accomplishes this goal?                                                                                                   

With the aid of a well labeled diagram, explain the J – curve phenomenon

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