1. Consider an economy in which C = 1000 + 0.75 Y D , I = 200, G = 300, T = 300,
ID: 1196032 • Letter: 1
Question
1. Consider an economy in which C = 1000 + 0.75YD, I = 200, G = 300, T = 300, and (X-M) = 0.
A. Calculate equilibrium GDP. (3 points)
B. Calculate saving at this level of GDP. Hint: Use the equation for leakages. (4 points)
C. Calculate the spending multiplier. (2 points)
D. Calculate the tax multiplier. (2 points)
E. How will equilibrium GDP change if G increases by 100, and what is the new equilibrium level of GDP? (4 points)
F. How will equilibrium GDP change if G and T both increase by 500, and what is the new equilibrium level of GDP? (3 points)
Explanation / Answer
Ans A - In equilibrium, Y = C + I + G + NX
Yd = Y – T
Y = 1000 + 0.75 x (Y - 300) + 200 + 300
Y = 1000 + 0.75Y - 225 + 500
Y = 1275 + 0.75Y
0.25Y = 1275
Y = 5100
Ans B - Savings = 0.25Yd.
Yd = Y - T = 5100 - 300 = 4800
Savings = 0.25 x 4800 = 1200
Ans C - Spending multiplier = 1 / (1 - MPC)
MPC = 0.75
Spending multiplier = 1 / 0.25 = 4
Ans D - Tax multiplier = MPC / MPS = 0.75 / 0.25 = 3
Ans E - In equilibrium, Y = C + I + G + NX
Yd = Y – T
Y = 1000 + 0.75 x (Y - 300) + 200 + 400
Y = 1000 + 0.75Y - 225 + 200 + 400
0.25Y = 1375
Y = 5500
Change in GDP = 5500 - 5100 = 400
Ans F - In equilibrium, Y = C + I + G + NX
Yd = Y – T
Y = 1000 + 0.75 x (Y - 800) + 200 + 800
Y = 2000 + 0.75Y - 600
0.25Y = 1400
Y = 5600
Change in GDP = 5600 - 5100 = 500
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