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Demand-side Equilibrium (Keynesian Equilibrium)
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Consumption function in the DI-C Space C DI (Disposable Income) C 0 C = constant + coefficient * DI
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Consumption function in the Y-C Space C Y (GDP) C 0 C = constant + coefficient * Y
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Consumption Function in the Y-C space The equation form: C = constant + coefficient * Y To convert from the old form C = a + b DI = a + b (Y - T) = a + b (Y - T) = a + b Y - b T = a + b Y - b T where T is a (lump-sum) tax, and DI = Y - T
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Consumption function in the Y-C Space C Y (GDP) C 0 C = ( a – bT) + b Y a – bT
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Consumption Function in the Y-C space T is assumed to be a lump-sum tax, it is a constant. DI = Y – T If T= 0, then C = a + bY, same as before If T increases, then the C function line will shift Note the C function does not shift in the DI-C space
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Other components in AE AE = C + I + G + (X - IM) In addition to C, there are components: I, G, and X-IM
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Investment (I) Investment is the business firms' purchase of new physical assets (including adding in inventories, and house construction). It very volatile.
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Shifters of I Business confidence and expectations Growth of demand (sales) Interest rate Product innovation Tax incentive
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Government expenditure G Government expenditure is the purchases of goods and services by all government levels. Determined by the government
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Net Exports: X - IM Gross exports minus imports Shifters of net exports: –Other countries' income: affects X –Our income: affects IM –Relative prices of exports and imports
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The Circular Flow of Expenditures and Income 1 3 6 5 4 2 Investors Government Firms (produce the domestic product) Consumers Financial System Rest of the World Saving (S) Consumption (C) Investment (I) C + I Government C + I + G Imports (IM) Exports (X) C + I + G + Transfers Disposable Income (DI) Taxes Gross National Income (Y) (X – IM) Purchases (G)
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Flow in the circular flow diagram As the flow circulates around the circular flow system, will the volume grow larger, smaller, or keep the same level?
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Keynesian answer Depends on AE and Y If AE > Y, Y increases, flow grows bigger. Reasons: When AE > Y –Spending greater than output –Inventory falls –Firms find sale is strong, and increase output
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Keynesian answer If AE < Y, Y falls, flow becomes smaller. Reasons: When AE < Y –Spending less than output –Unintended inventory increases –Firms find sale is slow and cut the production
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Keynesian answer When AE = Y, remains the same level Reasons: Firms found the current output just satisfies the demand. So keep the same output level. Keynesian equilibrium condition: AE = Y
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The Keynesian Equilibrium Denote Y* (at Y*, AE=Y) Also called “Demand-side equilibrium” The output is determined by spending, or the demand. It is stable It does not imply full employment So recession can be prolonged
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Construct the AE schedule The Aggregate Expenditure Schedule (AE) The AE refers to the relationship between AE and GDP (Y) AE = C + I + G + (X - IM) It tells you what the total spending is at different income Y level
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The AE function C Y (GDP) AE 0 C+I C+I+G AE= C+I+G+X-IM X-IM G I
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The AE function Y (GDP) AE 0 8000 7500 Y0Y0 AE 0
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The 45 degree line Property Any point on the 45 degree line has the equal distance to the vertical axis and horizontal axis.
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The 45 degree line Y (GDP) AE 0 AE= Y 45 degree Y1Y1 AE 1
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Graphical illustration of the Keynesian Equilibrium It is the intersection of the AE line and the 45 degree line.
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Keynesian equilibrium 0 YY* AE AE=Y $
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The Determination of Equilibrium Output Copyright © 2003 South-Western/Thomson Learning. All rights reserved.
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Income-Expenditure Diagram
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Demand-side equilibrium Y* and Potential GDP Yp Potential GDP, Yp, is the full employment GDP Y* does not have to equal Yp Y* < Yp: recessionary gap. –Why a prolonged recessionary gap? Y* > Yp: inflationary gap.
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Recessionary Gap 0 Y Y* AE AE=Y $ YpYp Recessionary gap
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Y* < Yp: recessionary gap. Recessionary Gap: when the Keynesian equilibrium output is less than potential GDP Implies prolonged high unemployment Implies a prolonged recession Why prolonged?
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Inflationary Gap 0 Y Y* AE AE=Y $ YpYp Inflationary gap
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Equation form for the Keynesian equilibrium A Model Economy is described as follows: C = 100 + 0.9 DI I = 150 G = 200 X - IM = -50 T = 0 T = 0 Solve for the Keynesian equilibrium Y*
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Equation form for the Keynesian equilibrium Consumption function C = 100 + 0.9 DI Assume T = 0 C = 100 + 0.9 (Y - T) = 100 + 0.9 Y = 100 + 0.9 Y I = 150 G = 200 X - IM = -50
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Approach Solve for the equilibrium level Y* Find the AE schedule equation Utilize the equilibrium condition, AE = Y Solve for the equilibrium Y: Y*
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Step 1 Add together to get AE, AE = C + I + G + X - IM AE = 100 + 0.9 Y + 150 + 200 - 50 = 400 + 0.9 Y = 400 + 0.9 Y
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Step 2 Using the Keynesian equilibrium condition Y = AE = 400 + 0.9 Y
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Step 3 Solve for equilibrium Y: Y* = 1/(1-0.9) X 400 = 10 X 400 = 4000
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