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Lecture Five Introduction to the Short-run equilibrium Aggregate expenditure Consumption function Investment function
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Most firms “meet the demand” at a preset price Because of this slow adjustment of prices, economy-wide spending changes are the major cause of output gaps If gaps persist, firms may eventually respond (and gaps may then be eliminated) The process of adjustment can be slow. Governments can and often take actions to speed up the elimination of the gaps. Example: Al’s ice cream store (costs $ for new menus if we change prices to adapt to lower winter demand. Instead, we maintain prices and change quantity served) 2Lecture 5
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In the short run, firms meet the demand for their products at preset prices Firms typically do not respond to every change in demand by changing their prices Firms find it optimal to fix the price for some period of time and meet the demand at that price 3Lecture 5
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Aggregate Expenditure (AE) Total planned spending on final goods and services Four components ▪ Consumer expenditure (C) ▪ Investment (I) ▪ Government purchases (G) ▪ Net exports (NX) In a closed private economy (no government and trade) AE = C + I It is a function of real GDP 4Lecture 5
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AE Real GDP and Income Y = AE AE = C + I Short Run Equilibrium How to derive AE? 5Lecture 5
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The Consumption Schedule Reflects the direct consumption-disposable income relationship higher income higher consumption The Saving Schedule S = Y – C (savings=income-consumption) higher income higher saving Illustrated… 6Lecture 5
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C = C 0 + cY C0: autonomous consumption c: MPC = ΔC / ΔY 7Lecture 5
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YCMPCS = Y - CMPS 020 5060 100 150140 200180 C = 20 + 0.8 Y 8Lecture 5
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Real Consumption C Real GDP and Income C = 20 + 0.8Y MPC = 40/50 = 0.8 50100 20 60 100 9Lecture 5
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YCMPCS = Y - CMPS 020-20 50600.8-100.2 100 0.800.2 1501400.8100.2 2001800.8200.2 MPS = 1 - MPC 10Lecture 5
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S = Y – C S = Y – (C 0 + cY) = - C 0 + (1-c)Y = S 0 + sY Saving (S) Real GDP and Income (Y) S = -20 + 0.2Y -20 -10 0 50100 11Lecture 5
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(1) GDP (Y=DI) (2) C (3) S (1)-(2) (4) APC (2)/(1) (5) APS (3)/(1) (6) MPC (2)/ (1) (7) MPS (3)/ (1) 370375 390 410405 430420 450435 470450 490465 510480 530495 370 - 375 = -5 - 5 0 51015 20 25 30 35 375/370 = 1.01 1.01 1.00.99.98.97.96.95.94.93 -5/370 = -.01 -.01.00.01.02.03.04.05.06.07 15/20=.75.75.75.75.75.75.75.75.75.75 5/20 =.25.25.25.25.25.25.25.25.25.25 12Lecture 5
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Graphically presented.... Consumption Saving C S Disposable Income MPC = 15/20 = 0.75 MPS = 5/20 = 0.25 ΔC ($15) ΔY ($20) ΔS ($5) ΔY ($20) MPC + MPS = 1 13Lecture 5
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Wealth Expectations Real Interest Rates Household Debt Taxation 14Lecture 5
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45 o C S Consumption Saving Disposable Income 15Lecture 5
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45 o C C1C1 An increase in consumption... Consumption Saving Disposable Income S 16Lecture 5
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45 o C S C1C1 An increase in consumption... S1S1 Causes a decrease decrease in saving Consumption Saving Disposable Income 17Lecture 5
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45 o C C2C2 A decrease in consumption... Consumption Saving Disposable Income S 18Lecture 5
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45 o C S C2C2 A decrease in consumption... S2S2 Causes an increase in saving Consumption Saving Disposable Income 19Lecture 5
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Expected Rate of Return, r The Real Interest Rate i = nominal rate - rate of inflation crucial in making investment decisions Investment Demand Curve 20Lecture 5
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Investment (billions of dollars) Expected rate of net profit, r, and interest rate, i (percent) 16 14 12 10 8 6 4 2 0 Investment demand curve 5 10 15 20 25 30 35 40 ID 21Lecture 5
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Acquisition, Maintenance and Operating Costs Business Taxes Technological Change Stock of Capital Goods on Hand Expectations 22Lecture 5
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Investment (billions of dollars) Expected rate of net profit, r, and interest rate, i (percent) ID 1 ID 0 ID 2 Increase in investment demand Decrease in investment demand 23Lecture 5
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Durability Irregularity of Innovation Variability of Profits Variability of Expectations 24Lecture 5
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GDP (billions of dollars) Investment (billions of dollars) 20 Investmentschedule IgIgIgIg 26Lecture 5
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employment (millions) GDPCSIgIg AE 2.5370375-520395 5.0390 020410 7.5410405520425 10.04304201020440 12.54504351520455 15.047045020 470 17.54904652520485 20.05104803020500 22.55304953520515 25.05505104020530 AE = C + I 27Lecture 5
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employment (millions) GDPCSIgIg AEunplanned inventories 2.5370375-520395 5.0390 020410 7.5410405520425 10.04304201020440 12.54504351520455 15.047045020 470 17.54904652520485 20.05104803020500 22.55304953520515 25.05505104020530 unplanned inventory change is the difference between production & AE unplanned 28Lecture 5
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employment (millions) GDPCSIgIg AEunplanned inventories 2.5370375-520395-25 5.0390 020410 7.5410405520425 10.04304201020440 12.54504351520455 15.047045020 470 17.54904652520485 20.05104803020500 22.55304953520515 25.05505104020530 29Lecture 5
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employment (millions) GDPCSIgIg AEunplanned inventories 2.5370375-520395-25 5.0390 020410-20 7.5410405520425-15 10.04304201020440-10 12.54504351520455-5 15.047045020 4700 17.54904652520485+5 20.05104803020500+10 22.55304953520515+15 25.05505104020530+20 when inventories run down, production will increase 30Lecture 5
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employment (millions) GDPCSIgIg AEunplanned inventories tendency of output 2.5370375-520395-25increase 5.0390 020410-20 7.5410405520425-15 10.04304201020440-10 12.54504351520455-5 15.047045020 4700 17.54904652520485+5 20.05104803020500+10 22.55304953520515+15 25.05505104020530+20 31Lecture 5
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employment (millions) GDPCSIgIg AEunplanned inventories tendency of output 2.5370375-520395-25increase 5.0390 020410-20increase 7.5410405520425-15increase 10.04304201020440-10increase 12.54504351520455-5increase 15.047045020 4700equilibrium 17.54904652520485+5decrease 20.05104803020500+10decrease 22.55304953520515+15decrease 25.05505104020530+20decrease 32Lecture 5
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employment (millions) GDPCSIgIg AEunplanned inventories tendency of output 2.5370375-520395-25increase 5.0390 020410-20increase 7.5410405520425-15increase 10.04304201020440-10increase 12.54504351520455-5increase 15.047045020 4700equilibrium 17.54904652520485+5decrease 20.05104803020500+10decrease 22.55304953520515+15decrease 25.05505104020530+20decrease 33Lecture 5
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Equilibrium point 45 o Real domestic product, GDP (billions of dollars) 470 370 390 410 430 450 470 490 510 530 550 C Aggregate Expenditure s (billions of dollars) C = $450 billion I g = $20 billion C + I g Aggregate expenditures 370 390 410 430 450 470 490 510 530 34Lecture 5
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YCIAE = C + I 02015 506015 100 15 15014015 20018015 C = 20 +0.8 Y I = 15 AE = C + I AE = 20 + 0.8 Y + 15 AE = 35 + 0.8 Y 35Lecture 5
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45 o Real domestic product, GDP C Aggregate Expenditures C = 20 + 0.8Y C + I Aggregate expenditures AE = 35 + 0.8 Y I = 15 36Lecture 5
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Assumption AE = C + I C = C 0 + cY I = I g Y = C + I = C 0 + cY + I g Y – cY = C 0 + I g Y e = (C 0 + I g ) / (1 – c) Assumption –C = 20 + 0.8Y –I = 15 AE = C + I = 35 + 0.8Y Y = AE Y = 35 + 0.8Y Y – 0.8Y = 35 Y e = 35 / (1 – 0.8) = 175 37Lecture 5
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Since AE = C + I And Y = C + S AE = Y I = S Example : I = 15, C = 20 + 0.8 Y S = - 20 + 0.2 Y, I =15 S = I -20 + 0.2 Y = 15 Y e =175 38Lecture 5
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Saving (S) Real GDP and Income (Y) S = -C 0 + (1-c)Y - C 0 0 YeYz I = I g 1.S = I 2.-C 0 + (1-c)Y = I g 3.Y e = (C 0 + I g ) / (1 – c) 39Lecture 5
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The equilibrium output is that out put which creates total spending just sufficient to produce that output Other features of equilibrium GDP Saving equals planned investment ▪ saving represents a leakage of spending ▪ investment can be thought of as an injection of spending No unplanned changes in inventories 40Lecture 5
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Read Chapter 8 and 9.1, 9.2 Understand the numerical examples in the lecture Home Work 5 41Lecture 5
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