Answer:
a. The Cyclical deficit refers to the deficit arising from the difference between the potential output and the actual output.
The question assumes that the economy is producing at potential which means actual output equals potential output.
Cyclical Deficit = Tax rate * ( Potential Output - Actual Output)
Cyclical Deficit = 0.3 * 0
Cyclical Deficit = $0
b. Structural deficit occurs even when the economy is at potential because it refers to Government deficits that happen when the economy is experiencing normal activity.
Structural Deficit = Actual deficit - Cyclical deficit
Structural Deficit = 200 billion - 0
Structural Deficit = $200 billion
c. Output is $200 billion below potential
Cyclical Deficit = Tax rate * ( Potential Output - Actual Output)
Cyclical Deficit = 0.3 * 200
Cyclical Deficit = $60 billion
Structural Deficit = Actual deficit - Cyclical deficit
Structural Deficit = 200 billion - 60
Structural Deficit = $140 billion
d. Output is $100 billion above potential
Cyclical Deficit = Tax rate * ( Potential Output - Actual Output)
Cyclical Deficit = 0.3 * -100 as actual is above potential
Cyclical Deficit = -$30 billion
Structural Deficit = Actual deficit - Cyclical deficit
Structural Deficit = 200 billion - (-30)
Structural Deficit = $230 billion