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Intermediate Macroeconomics
Chapter 5
The Keynesian Model
Intermediate Macroeconomics
The Keynesian Model
1. Simple Keynesian model
2. Aggregate expenditures
3. Equilibrium
4. Consumption function
5. Autonomous spending
6. Autonomous spending multiplier
7. Government fiscal policy
8. Automatic stabilizers
Intermediate Macroeconomics
1. Simple Keynesian Model
Macroeconomics in a recession:
• Classical macro theory:
– Prices will fall thereby stimulating demand.
– Interest rates will fall thereby stimulating
investment.
• Keynesian macro theory:
– Prices, wages and interest rate are fixed.
– Government fiscal policy stimulus needed.
Intermediate Macroeconomics
2. Aggregate Expenditures
AE = C + I + G + NX
C = Consumption
I = Private Domestic Investment
G = Government Spending
NX = Net Exports (Exports - Imports)
Intermediate Macroeconomics
3. Equilibrium
Y = AE
Undesired Inventory Build: Y > AE
Undesired Inventory Draw: Y < AE
where, Y = National Income
AE = Aggregate Expenditures
Intermediate Macroeconomics
4. Consumption Function
C = C0 + c  Y
Co = Autonomous consumption
c = Marginal propensity to consume
out of income (MPC)
Y = Income
Intermediate Macroeconomics
4. Consumption Function
0
1000
2000
3000
4000
5000
0 1000 2000 3000 4000 5000
Income
DesiredConsumption
C0 = 500
2500
c = MPC = slope of consumption function
= (2500 - 500) / (2500 - 0)
= 0.8
SavingDissaving
2500
C = C0 + c  Y
Intermediate Macroeconomics
5. Autonomous Spending
Spending that is independent of any
other variable (e.g., income, prices,
interest rate)
• C0 = Autonomous Consumption
• I0 = Autonomous Investment
• G0 = Autonomous Government
Spending
Autonomous (adj.) - self-governing
Intermediate Macroeconomics
6. Autonomous Spending Multiplier
Equilibrium model solution
Step 1. Restate aggregate expenditures
Step 2. State the equilibrium condition
Step 3. Substitute aggregate
expenditures from Step 1 into
equilibrium condition in Step 2
Step 4. Solve for Y (national income)
Intermediate Macroeconomics
6. Autonomous Spending Multiplier
Step 1. Aggregate expenditures restated
• Given:
AE = C + I + G + NX
C = C0 + c  Y
I = I0
G = G0
NX = 0
• Step 1. Substitute into equation for aggregate
expenditures:
AE = C0 + c  Y + I0 + G0
Intermediate Macroeconomics
6. Autonomous Spending Multiplier
Aggregate expenditures curve
0
1000
2000
3000
4000
5000
6000
7000
0 1000 2000 3000 4000 5000 6000 7000
Income
Expenditures
5000
C0 + I0 + G0 + NX = 1000
MPC = slope of consumption line
= slope aggregate expenditure line
= (5000 - 1000) / (5000 - 0) = 0.8
5000
AE = (C0 + I0 + G0) + c  Y
AE
C
45o
Line (AE = Y)
all possible equilibria
Intermediate Macroeconomics
6. Autonomous spending multiplier
Steps 2 and 3
Step 2. State the Equilibrium Condition:
Y = AE
Step 3. Substitute AE from Step 1 into
Step 2:
Y = C0 + c  Y + I0 + G0
or
Y = (C0 + I0 + G0) + c  Y
Intermediate Macroeconomics
6. Autonomous spending multiplier
Step 4. Solve for National Income (Y)
Y = (C0 + I0 + G0) + c  Y
Y - c  Y = C0 + I0 + G0
(1 - c)  Y = C0 + I0 + G0
Y = 1  (C0 + I0 + G0)
1 - c
Intermediate Macroeconomics
6. Autonomous Spending Multiplier
Change in Y = Multiplier  Change in C0, I0,or G0
Equilibrium model solution:
Y = 1  (C0 + I0 + G0)
1 - c
Autonomous Spending Multiplier:
1 or 1
1 - c 1 - MPC
Intermediate Macroeconomics
7. Government Fiscal Policy
Given Equations:
AE = C + I + G + NX
C = C0 + c  YD
I = I0, G = G0, NX = 0
YD = Y - t  Y - T0 + TR
YD = disposable income
t  Y = income tax revenues
T0 = lump sum tax
TR = gov’t transfer payments
Intermediate Macroeconomics
7. Government Fiscal Policy
Step 1. Restate aggregate expenditures
AE = C + I + G + NX
= C0 + c  YD + I0 + G0
= C0 + c  (Y - t  Y - T0 + TR) + I0 + G0
= C0 + I0 + G0
+ c  Y - c  t  Y - c  T0 + c  TR
Intermediate Macroeconomics
7. Government Fiscal Policy
Steps 2 and 3
Step 2. State the Equilibrium Condition:
Y = AE
Step 3. Substitute AE from Step 1 into
Step 2:
Y = C0 + I0 + G0
+ c  Y - c  t  Y - c  T0 + c  TR
Intermediate Macroeconomics
7. Government Fiscal Policy
Step 4. Solve for National Income (Y)
Y = C0 + I0 + G0 + c  Y - c  t  Y - c  T0 + c  TR
Y = C0 + I0 + G0 - c  T0 + c  TR + (c - c  t) Y
Y = C0 + I0 + G0 - c  T0 + c  TR + c  (1 - t) Y
Y - c  (1 - t ) Y = C0 + I0 + G0 + c  (TR - T0)
[1 - c  (1 - t )]  Y = C0 + I0 + G0 + c  (TR - T0)
Y = 1  [C0 + I0 + G0 + c  (TR - T0)]
[1 - c  (1 - t )]
Intermediate Macroeconomics
7. Government Fiscal Policy
Multipliers
No Income
Tax
(t = 0.0)
Income Tax
(t = 0.3)
Autonomous
Spending
1 = 5
1 - c
1 = 2.3
1 – c  (1-t)
Transfer
Payment
c = 4
1 - c
c = 1.8
1 – c  (1-t)
Lump Sum
Tax
- c = - 4
1 - c
- c = - 1.8
1 – c  (1-t)
Assume c (marginal propensity to consume) = 0.8
Intermediate Macroeconomics
7. Government Fiscal Policy
Balanced budget multiplier
• $1 increase in government
spending
matched by
• $1 increase in lump sum taxes
Intermediate Macroeconomics
7. Government Fiscal Policy
Balanced budget multiplier
• Spending multiplier (assume no income tax)
1
1 – c
• Lump Sum tax multiplier
- c
1 - c
• Balanced budget multiplier:
spending multiplier – lump sum tax multiplier
1 - c = 1 – c = 1
1 – c 1 – c 1 - c
Intermediate Macroeconomics
7. Government Fiscal Policy
Balanced Budget Multiplier
From Step 4 (assume t = 0):
Y = 1  [C0 + I0 + G0 + c  (TR - T0)]
1 - c
Multiplier (assume C0 = I0 = TR = 0):
Y = 1  (  G0 - c   T0)
1 - c
Balanced Budget ( G0 =  T0):
Y = 1  (  G0 - c   G0)
1 - c
= 1  ( 1 – c)   G0
1 - c
= 1   G0
Multiplier = 1
Intermediate Macroeconomics
8. Automatic Stabilizers
Economy Moves Into
Recession Inflation
Desired Policy
Government Spending Increase Decrease
Taxes Decrease Increase
Actual Outcomes
G - Defense Spending n/c n/c
TR - Social Security Benefits n/c n/c
TR – Unemployment Comp. Increase Decrease
TA – Lump Sum Tax n/c n/c
t Y - Income Tax Receipts Decrease Increase

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Ch5ppt

  • 2. Intermediate Macroeconomics The Keynesian Model 1. Simple Keynesian model 2. Aggregate expenditures 3. Equilibrium 4. Consumption function 5. Autonomous spending 6. Autonomous spending multiplier 7. Government fiscal policy 8. Automatic stabilizers
  • 3. Intermediate Macroeconomics 1. Simple Keynesian Model Macroeconomics in a recession: • Classical macro theory: – Prices will fall thereby stimulating demand. – Interest rates will fall thereby stimulating investment. • Keynesian macro theory: – Prices, wages and interest rate are fixed. – Government fiscal policy stimulus needed.
  • 4. Intermediate Macroeconomics 2. Aggregate Expenditures AE = C + I + G + NX C = Consumption I = Private Domestic Investment G = Government Spending NX = Net Exports (Exports - Imports)
  • 5. Intermediate Macroeconomics 3. Equilibrium Y = AE Undesired Inventory Build: Y > AE Undesired Inventory Draw: Y < AE where, Y = National Income AE = Aggregate Expenditures
  • 6. Intermediate Macroeconomics 4. Consumption Function C = C0 + c  Y Co = Autonomous consumption c = Marginal propensity to consume out of income (MPC) Y = Income
  • 7. Intermediate Macroeconomics 4. Consumption Function 0 1000 2000 3000 4000 5000 0 1000 2000 3000 4000 5000 Income DesiredConsumption C0 = 500 2500 c = MPC = slope of consumption function = (2500 - 500) / (2500 - 0) = 0.8 SavingDissaving 2500 C = C0 + c  Y
  • 8. Intermediate Macroeconomics 5. Autonomous Spending Spending that is independent of any other variable (e.g., income, prices, interest rate) • C0 = Autonomous Consumption • I0 = Autonomous Investment • G0 = Autonomous Government Spending Autonomous (adj.) - self-governing
  • 9. Intermediate Macroeconomics 6. Autonomous Spending Multiplier Equilibrium model solution Step 1. Restate aggregate expenditures Step 2. State the equilibrium condition Step 3. Substitute aggregate expenditures from Step 1 into equilibrium condition in Step 2 Step 4. Solve for Y (national income)
  • 10. Intermediate Macroeconomics 6. Autonomous Spending Multiplier Step 1. Aggregate expenditures restated • Given: AE = C + I + G + NX C = C0 + c  Y I = I0 G = G0 NX = 0 • Step 1. Substitute into equation for aggregate expenditures: AE = C0 + c  Y + I0 + G0
  • 11. Intermediate Macroeconomics 6. Autonomous Spending Multiplier Aggregate expenditures curve 0 1000 2000 3000 4000 5000 6000 7000 0 1000 2000 3000 4000 5000 6000 7000 Income Expenditures 5000 C0 + I0 + G0 + NX = 1000 MPC = slope of consumption line = slope aggregate expenditure line = (5000 - 1000) / (5000 - 0) = 0.8 5000 AE = (C0 + I0 + G0) + c  Y AE C 45o Line (AE = Y) all possible equilibria
  • 12. Intermediate Macroeconomics 6. Autonomous spending multiplier Steps 2 and 3 Step 2. State the Equilibrium Condition: Y = AE Step 3. Substitute AE from Step 1 into Step 2: Y = C0 + c  Y + I0 + G0 or Y = (C0 + I0 + G0) + c  Y
  • 13. Intermediate Macroeconomics 6. Autonomous spending multiplier Step 4. Solve for National Income (Y) Y = (C0 + I0 + G0) + c  Y Y - c  Y = C0 + I0 + G0 (1 - c)  Y = C0 + I0 + G0 Y = 1  (C0 + I0 + G0) 1 - c
  • 14. Intermediate Macroeconomics 6. Autonomous Spending Multiplier Change in Y = Multiplier  Change in C0, I0,or G0 Equilibrium model solution: Y = 1  (C0 + I0 + G0) 1 - c Autonomous Spending Multiplier: 1 or 1 1 - c 1 - MPC
  • 15. Intermediate Macroeconomics 7. Government Fiscal Policy Given Equations: AE = C + I + G + NX C = C0 + c  YD I = I0, G = G0, NX = 0 YD = Y - t  Y - T0 + TR YD = disposable income t  Y = income tax revenues T0 = lump sum tax TR = gov’t transfer payments
  • 16. Intermediate Macroeconomics 7. Government Fiscal Policy Step 1. Restate aggregate expenditures AE = C + I + G + NX = C0 + c  YD + I0 + G0 = C0 + c  (Y - t  Y - T0 + TR) + I0 + G0 = C0 + I0 + G0 + c  Y - c  t  Y - c  T0 + c  TR
  • 17. Intermediate Macroeconomics 7. Government Fiscal Policy Steps 2 and 3 Step 2. State the Equilibrium Condition: Y = AE Step 3. Substitute AE from Step 1 into Step 2: Y = C0 + I0 + G0 + c  Y - c  t  Y - c  T0 + c  TR
  • 18. Intermediate Macroeconomics 7. Government Fiscal Policy Step 4. Solve for National Income (Y) Y = C0 + I0 + G0 + c  Y - c  t  Y - c  T0 + c  TR Y = C0 + I0 + G0 - c  T0 + c  TR + (c - c  t) Y Y = C0 + I0 + G0 - c  T0 + c  TR + c  (1 - t) Y Y - c  (1 - t ) Y = C0 + I0 + G0 + c  (TR - T0) [1 - c  (1 - t )]  Y = C0 + I0 + G0 + c  (TR - T0) Y = 1  [C0 + I0 + G0 + c  (TR - T0)] [1 - c  (1 - t )]
  • 19. Intermediate Macroeconomics 7. Government Fiscal Policy Multipliers No Income Tax (t = 0.0) Income Tax (t = 0.3) Autonomous Spending 1 = 5 1 - c 1 = 2.3 1 – c  (1-t) Transfer Payment c = 4 1 - c c = 1.8 1 – c  (1-t) Lump Sum Tax - c = - 4 1 - c - c = - 1.8 1 – c  (1-t) Assume c (marginal propensity to consume) = 0.8
  • 20. Intermediate Macroeconomics 7. Government Fiscal Policy Balanced budget multiplier • $1 increase in government spending matched by • $1 increase in lump sum taxes
  • 21. Intermediate Macroeconomics 7. Government Fiscal Policy Balanced budget multiplier • Spending multiplier (assume no income tax) 1 1 – c • Lump Sum tax multiplier - c 1 - c • Balanced budget multiplier: spending multiplier – lump sum tax multiplier 1 - c = 1 – c = 1 1 – c 1 – c 1 - c
  • 22. Intermediate Macroeconomics 7. Government Fiscal Policy Balanced Budget Multiplier From Step 4 (assume t = 0): Y = 1  [C0 + I0 + G0 + c  (TR - T0)] 1 - c Multiplier (assume C0 = I0 = TR = 0): Y = 1  (  G0 - c   T0) 1 - c Balanced Budget ( G0 =  T0): Y = 1  (  G0 - c   G0) 1 - c = 1  ( 1 – c)   G0 1 - c = 1   G0 Multiplier = 1
  • 23. Intermediate Macroeconomics 8. Automatic Stabilizers Economy Moves Into Recession Inflation Desired Policy Government Spending Increase Decrease Taxes Decrease Increase Actual Outcomes G - Defense Spending n/c n/c TR - Social Security Benefits n/c n/c TR – Unemployment Comp. Increase Decrease TA – Lump Sum Tax n/c n/c t Y - Income Tax Receipts Decrease Increase

Editor's Notes

  1. The foundation of Keynesian macroeconomic theory is that prices, wages, and interest rates are fixed. Prices and wages are directly related because firms could not lower product prices if wages were not lowered. Classical economic theory suggested that high unemployment rates would lead to lower wage rates, which would lead to lower prices, which would lead to higher demand because of the increased purchasing power of existing wealth. But Keynes observed that wages were not falling (actually there was a decline in the average price level during the early 1930s but evidently not enough to matter). Keynes could not apply an economic theory to explain why those people out of work were unwilling to accept a lower wage in order to get a job. He simply accepted it as an unexplained socioeconomic fact of life and built a theory around the assumption that prices and wages were rigid. Interest rates are a different story. Classical theory suggests that during a recession or depression interest rates should fall, which would stimulate consumption and investment spending. Keynes observed that if interest rates were already near zero how could they go any lower. Moreover, even if interest rates could decline further why would that lead to an increase in investment? With factories running well below capacity because of the Depression, why build new production plants?
  2. We begin with the definition of aggregate expenditures because this is the heart of the Keynesian model. The assumption that prices and interest rates are fixed implies the aggregate supply curve is flat. Consequently, any change in aggregate supply (i.e., a rightward or leftward shift) will have no effect on the economy. Aggregate spending is the driving force. On the supply side firms simply increase or reduce production at the constant market price to meet the level of demand.
  3. Assumed to be a positive function of income Prices and other variables assumed to be constant (prices) or do not significantly affect consumption (interest rate) MPC = change in consumption per $1 change in income
  4. Other explanations Geometric series - explain in terms of initial $1 change in spending following by subsequent consumption/income changes. Graphical derivation
  5. AD Graph - further rearrange: AD = C0 + I0 + G0 + c(TR - T0) + c * (1 - t) * Y intercept slope
  6. Implication in Keynesian model is that increase in government spending should be financed by a deficit. Larger multiplier effect. But, Keynesian model ignores impact of deficit on interest rates, trade deficit, etc.
  7. Reduce the strength of upswings or downswings in demand that arise from an unexpected change in autonomous spending.
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