where is the 11 comming from?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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where is the 11 comming from? 

Step 1
Given:
Estimated recessionary gap = $20 billion
Increase in government spending = $1 billion
MPC = 0.9
Step 2
Since MPC =0.9,
Multiplier-11-MPC
=11-0.9
=10.1
=10
Change in national income due to increase in government spending:-
=10x1
Change in National Income-MultiplierxAG
Remainder of the recessionary gap=20 billion-10 billion
= $10 billion
Step 3
Tax Multiplier = MPC1 - MPC =0.9/0.1 = 9
Change in Income Tax Multiplier * Change in Taxes
Change in Income required = 10 billion
Putting in values:
=$10 billion
10 billion = 9 * (- Change in Taxes) (Negative Sign is used to denote reduction in taxes)
Changes in Taxes = -1.11 billion
Therefore, tax needs to be reduced by $1.11 billion.
Transcribed Image Text:Step 1 Given: Estimated recessionary gap = $20 billion Increase in government spending = $1 billion MPC = 0.9 Step 2 Since MPC =0.9, Multiplier-11-MPC =11-0.9 =10.1 =10 Change in national income due to increase in government spending:- =10x1 Change in National Income-MultiplierxAG Remainder of the recessionary gap=20 billion-10 billion = $10 billion Step 3 Tax Multiplier = MPC1 - MPC =0.9/0.1 = 9 Change in Income Tax Multiplier * Change in Taxes Change in Income required = 10 billion Putting in values: =$10 billion 10 billion = 9 * (- Change in Taxes) (Negative Sign is used to denote reduction in taxes) Changes in Taxes = -1.11 billion Therefore, tax needs to be reduced by $1.11 billion.
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