Question

Suppose the multiplier is 5 and the government increases its purchases by $15 billion. Also, suppose the AD curve would shift from AD1 to AD2 if there were no crowding out; the AD curve actually shifts from AD1 to AD3 with crowding out. Also, suppose the horizontal distance between the curves AD1 and AD3 is $55 billion. The extent of crowding out, for any particular level of the price level, is:______

A) 20 billion
B) 30 billion
C) 10 billion
D) 40 billion

Answer 1

A) 20 billion

Step-by-step explanation:

Y = AD

= C + I + G

C = A + cY

A - Autonomous Consumption

c - MPC

Y = A + cY + I + G

Y - cY = A + I + G

Y(1 - c) = A + I + G

Y = (A + I + G)*1/(1 - c)

Taking derivative with respect to goverement purchase

dY/dG = 1/(1 - c)

( here d is represting del we are representing partial derivative.)

1/(1 - c) = Multiplier

dY = Multiplier*dG

= 5*15

= 75

75 = horizontal distance between AD1 & AD2

55 = horizontal distance between AD1 & AD3

Extent of crowding out = 75 - 55 = 20

Therefore, the Extent of crowding out is 20 billion.