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QUESTION 5 Assume that, without taxes, the consumption schedule for an economy i

ID: 1095955 • Letter: Q

Question

QUESTION 5

Assume that, without taxes, the consumption schedule for an economy is as shown in the first two columns of the table below. The MPC without taxes is 0.8. Suppose a proportional tax with a 10 percent tax rate is imposed instead of the regressive tax.

a. Calculate the new consumption schedule.

Instructions: In the table, enter your answers as whole numbers.

GDP, Billions

Consumption Before Tax, Billions

Tax Rate, Billions

Disposable Income, Billions

Consumption After Tax, Billions

$100

120

200

200

300

280

400

360

500

440

600

520

700

600

b. What are the MPC (tax inclusive) and the multiplier?

     Instructions: Round your answers to 2 decimal places.

     MPC for the proportional tax consumption schedule = ?

     Multiplier for the proportional tax consumption schedule = ?

GDP, Billions

Consumption Before Tax, Billions

Tax Rate, Billions

Disposable Income, Billions

Consumption After Tax, Billions

$100

120

200

200

300

280

400

360

500

440

600

520

700

600

Explanation / Answer

y=C+I

Y=C+S

C=a+b(Y-tY)

Y = I+a+b(Y-tY)

Y = [a+I]/1-b(1-t)

a=40, b = .8, t=.1

MPC of proportional tax schedule = b(1-t)=.72

Multiplier for propoartional tax = 3.57

GDP, Billions Consumption Before Tax, Billions Tax Rate, Billions Disposable Income, Billions Consumption After Tax, Billions $100 120 $10.0 $90 $112.0 200 200 $20.0 $180 $184.0 300 280 $30.0 $270 $256.0 400 360 $40.0 $360 $328.0 500 440 $50.0 $450 $400.0 600 520 $60.0 $540 $472.0 700 600 $70.0 $630 $544.0
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