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CHAPTER 23 - THE SHORT-RUN MACRO MODEL PROBLEM SET 2. a. Real GDP $0 $100 $200 $300 $400 $500 $600 b. Real GDP $0 $100 $200 $300 $400 $500 $600 c. Autonomous Consumption $30 $30 $30 $30 $30 $30 $30 Consumption Spending $30 $115 $200 $285 $370 $455 $540 Planned Investment $40 $40 $40 $40 $40 $40 $40 MPC x Disposable Income $0 $85 $170 $255 $340 $425 $510 Government Spending $20 $20 $20 $20 $20 $20 $20 Consumption = Autonomous Consumption + (MPC x Disposable Income) $30 $115 $200 $285 $370 $455 $540 Net Exports -$15 -$15 -$15 -$15 -$15 -$15 -$15 Aggregate Expenditures $75 $160 $245 $330 $415 $500 $585 Chapter 23 The Short-Run Macro Model d. $500 billion is the equilibrium level of real GDP. e. If the actual level of real GDP in this economy is $200 billion, then the economy will expand. This is because aggregate expenditure ($245 billion) is greater than real GDP ($200 billion), so firms find their inventories falling, and will expand output, leading to a higher real GDP in the future. f. If planned investment falls to $25 billion, the equilibrium level of real GDP will fall from $500 billion to $400 billion. 4. a. Inventories will fall unexpectedly, sending firms a signal to produce more output. GDPA is not sustainable because the extra production will move the economy to the right along the horizontal axis. b. Inventories will rise unexpectedly, sending firms a signal to produce less output. GDPB is not sustainable because cut in production will move the economy to the left along the horizontal axis. Chapter 23 The Short-Run Macro Model 6. a. Real GDP and total employment will increase. b. Real GDP and total employment will increase. c. Real GDP and total employment will decrease. 8. a. In the table in Problem 1, the second column (C) would be affected; each number in the column would become smaller, since households would spend less at each level of income. b. The change in saving is the vertical distance between the two aggregate expenditure lines. c. Real Aggregate Expenditure (C + I + NX) 1 (C + I + NX) 2 45° Y2 Y1 Real GDP 10. a. If the MPC is 0.95, then the expenditure multiplier is 20. Therefore, the change in real GDP is 20 x $7,500 = $150,000. b. If the MPC is 0.65, then the expenditure multiplier is 2.86. Therefore, the change in real GDP is 2.86 x -$300,000 = -$857,143. Chapter 23 The Short-Run Macro Model c. If the MPC is 0.75, then the expenditure multiplier is 4. Therefore, the change in real GDP is 4 x -$5 billion = -$20 billion. 12. Additional increase in I Round Initial Increase in Investment Spending 2 3 4 5 1000 90 62 43 30 Additional Spending in each round Total Additional Spending 1000 690 476 329 227 The final change in GDP would be higher than $2,500 billion, because further rises in investment act as a de-stabilizer, thus increasing the multiplier. MORE CHALLENGING QUESTIONS 14. Y = [a – (b T) + IP + G + NX] / (1 – b) = [600 – (0.75 400) + 600 + 700 + 200] / (1 – 0.75) = 7,200. At this equilibrium, C = a + b(Y – T) = 600 + 0.75(7,200 – 400) = 5,700. Therefore, in equilibrium, we have aggregate expenditure = C + IP + G + NX = 5,700 + 600 + 700 + 200 = 7,200, which is equal to equilibrium real GDP. 16. S + T, I + G + NX S+ T I 2 + G + NX I 1 + G + NX 0 Y1 Y2 Real GDP The two lines cross at the equilibrium output level, where S + T = IP + G + NX. If investment spending increased, the IP + G + NX line would shift upward. The new crossing point would occur at a higher level of real GDP, so equilibrium real GDP would increase. 1000 1690 2166 2495 2721