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9 Demand-Side Equilibrium: Unemployment or Inflation? A definite ratio, to be called the Multiplier, can be established between income and investment. JOHN MAYNARD KEYNES Contents ● The Meaning of Equilibrium GDP ● The Mechanics of Income Determination ● The Aggregate Demand Curve ● Demand-Side Equilibrium and Full Employment ● The Coordination of Saving and Investment ● Changes on the Demand Side: Multiplier Analysis Copyright © 2006 South-Western/Thomson Learning. All rights reserved. Contents (continued) ● The Multiplier Is a General Concept ● The Multiplier and the Aggregate Demand Curve ● Appendix A: The Simple Algebra of Income Determination and the Multiplier ● Appendix B: The Multiplier With Variable Imports Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Meaning of Equilibrium GDP ● GDP cannot be at its equilibrium if total spending differs from the value of output. ● If spending exceeds output, inventories fall and firms increase production. ● If output exceeds spending, inventories rise and firms reduce production. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 1: The Circular Flow Diagram FIGURE Rest of the World Financial System 3 2 Investors Consumers 4 1 Government 5 Firms (produce the domestic product) 6 Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Meaning of Equilibrium GDP ● The equilibrium level of GDP on the demand side is the one at which total spending equals production. ● In such a situation, firms find their inventories remaining at desired levels, so there is no incentive to change output or prices. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. The Mechanics of Income Determination ● Constructing the total expenditure schedule ♦ Expenditure Schedule = table showing the relationship between GDP and total spending ♦ Induced Investment = the part of investment spending that rises when GDP rises, and falls when GDP falls. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 2: The Determination of Equilibrium Output TABLE Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 2: Construction of the Expenditure Schedule FIGURE C +I+ G C + I + G + (X –IM) X –IM = –$100 6,100 6,000 Real Expenditure C+I G = $1,300 C 4,800 I = $900 3,900 5,200 5,600 6,000 6,400 Real GDP 6,800 7,200 Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Mechanics of Income Determination ● Both the expenditure table and the corresponding “income-expenditure diagram” or “45 degree line diagram” show the equilibrium level of GDP. ● All other levels of GDP are disequilibrium points, at which GDP will move in the direction of the equilibrium. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 3: Income-Expenditure Diagram FIGURE Output exceeds spending 7,200 45° 6,800 C +I +G + (X – IM) Real Expenditure 6,400 E 6,000 Equilibrium 5,600 5,200 4,800 0 Spending exceeds output 4,800 5,200 5,600 6,000 6,400 6,800 7,200 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Aggregate Demand Curve ● price level consumption ♦ price level purchasing power of wealth (not real income) ♦ A change in real income would be illustrated as a movement along the consumption function, not a shift. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. The Aggregate Demand Curve ● price level consumption ♦ Therefore, price level total expenditures and equilibrium GDP ♦ Therefore, price level equilibrium level of real aggregate quantity demanded Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 5: The Effect of the Price Level on Equilibrium AD FIGURE 45 45 C2 + I + G + (X–IM) Real Expenditure C0 + I + G + (X–IM) E0 C1 + I + G + (X–IM) E1 45 Real Expenditure E2 E0 C0 + I + G + (X–IM) 45 Y1 Y0 Real GDP (a) Y0 Y2 Real GDP (b) Rise in Price Level Fall in Price Level Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Aggregate Demand Curve ● The negatively-sloped aggregate demand curve shows all the equilibria of price levels and GDP. ● Remember that any income-expenditure diagram is drawn for a specific price level. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 6: The Aggregate Demand Curve Price Level FIGURE P1 P0 P2 E1 E0 E2 Y1 Y0 Y2 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. Demand-Side Equilibrium and Full Employment ● Equilibrium GDP may not = fullemployment GDP. ● Recessionary gap: amount by which equilibrium GDP < potential GDP ● Inflationary gap: amount by which equilibrium GDP > potential GDP Copyright© 2006 Southwestern/Thomson Learning All rights reserved. FIGURE 7: A Recessionary Gap Potential GDP 45° Real Expenditure F C + I + G + (X – IM) E B Recessionary gap 45° 6,000 7,000 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 8: An Inflationary Gap Potential GDP 45° Inflationary gap E B C + I + G + (X – IM) Real Expenditure FIGURE F 45° 7,000 8,000 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Coordination of Saving and Investment ● Equilibrium GDP = full employment only if saving out of full-employment incomes = investment ● Savers are not the same people as investors, so it is unlikely that this condition will hold. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. FIGURE 9: A Simplified Circular Flow Financial System 2 Investors Consumers 1 3 Firms (produce the domestic product) Y Copyright © 2006 South-Western/Thomson Learning. All rights reserved. Changes on the Demand Side: Multiplier Analysis ● Multiplier = ratio of the change in equilibrium GDP (Y) divided by the original change in spending that caused the change in GDP Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 3: Total Expenditure after a $200 Billion Increase TABLE Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 10: Illustration of the Multiplier FIGURE 45 C + I1 + G + (X – IM) C + I0 + G + (X – IM) Real Expenditure E1 $200 billion E0 0 6,000 6,800 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. Changes on the Demand Side: Multiplier Analysis ● Demystifying the Multiplier: How It Works ♦ The multiplier is greater than 1 because one person’s spending is another person’s income. ♦ spending income ♦ A portion of the increase in income is spent on consumption, creating more income, which in turn creates more consumption spending, and so on. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 4: The Multiplier Spending Chain TABLE Copyright © 2006 South-Western/Thomson Learning. All rights reserved. FIGURE 11: How the Multiplier Builds Cumulative Spending Total $4.0 3.0 2.0 1.0 0 2 4 6 8 10 15 20 Spending Round Copyright © 2006 South-Western/Thomson Learning. All rights reserved. Changes on the Demand Side: Multiplier Analysis ● Algebraic Statement of the Multiplier ♦ Multiplier = 1 (1 - MPC) ♦ The MPC has been estimated to be about 0.9, implying that the multiplier is 10. ♦ In fact, the multiplier is < 2. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. Changes on the Demand Side: Multiplier Analysis ● Algebraic Statement of the Multiplier ♦ Factors that reduce the size of the multiplier ■International trade ■Inflation ■Income taxation ■Financial system Copyright© 2006 Southwestern/Thomson Learning All rights reserved. The Multiplier Is a General Concept ● An autonomous change in consumer spending (caused by something other than an increase in income) shifts the consumption function and has a multiplier effect, just the same as a change in I does. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 5: Consumers Spend $200 Billion More TABLE Copyright © 2006 South-Western/Thomson Learning. All rights reserved. The Multiplier Is a General Concept ●Other multiplier effects: ♦ A change in G has the same multiplier effect as a change in I or a change in autonomous C. ♦ The multiplier effect of a change in (X - IM) is the same as for the other components of spending. ♦ Consequently, trade links the GDPs of the major economies. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. The Multiplier Is a General Concept ● GDP in a foreign country its imports, a portion of which are exports from the U.S. ● The growth in U.S. exports has a multiplier effect, raising GDP in the U.S. ● Booms and recessions tend to be transmitted across national borders. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. The Multiplier and the Aggregate Demand Curve ● autonomous spending horizontal shift of the AD curve by an amount given by the oversimplified multiplier formula. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 12: Two Views of the Multiplier FIGURE 45 C + I1 + G + (X – I M ) C + I0 + G + (X – I M ) Real Expenditure E1 $200 billion E0 6,000 0 Price Level D0 6,800 D1 E0 E1 100 D 1 (I = $1,100) D 0 (I = $900) 6,000 6,800 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. Appendix A: The Simple Algebra of Income Determination and the Multiplier Simple Algebra of Income Determination & Multiplier ● All of the relationships discussed can be represented in simple algebra. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. Simple Algebra of Income Determination & Multiplier ● Consumption function: C = a + b(DI) ♦ Positive linear relationship between C and DI ♦ a = autonomous consumption, determined by factors aside from DI ♦ b = marginal propensity to consume = C/ DI ♦ b(DI) = induced consumption, determined by DI Copyright© 2006 Southwestern/Thomson Learning All rights reserved. Simple Algebra of Income Determination & Multiplier ● Equilibrium Y = C + I + G + (X - IM), so Equilibrium Y = a + b(DI) + I + G + (X IM) ● Since DI = Y - T, Equilibrium Y = a + b(Y T) + I + G + (X - IM) ● Therefore Equilibrium Y = a + bY - bT + I + G + (X - IM) Copyright© 2006 Southwestern/Thomson Learning All rights reserved. Simple Algebra of Income Determination & Multiplier ● Then solve for Y: Equilibrium Y = [a - bT + I + G + (X - IM)] / (1 - b) Copyright© 2006 Southwestern/Thomson Learning All rights reserved. Appendix B: The Multiplier With Variable Imports The Multiplier With Variable Imports ● Exports are probably insensitive to domestic GDP, but imports are positively related. ● Therefore, net exports decline as GDP rises. ● The effect of this is to lower the value of the multiplier. Copyright© 2006 Southwestern/Thomson Learning All rights reserved. 6: Equilibrium Income with Variable Imports TABLE Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 13: The Dependence of Net Exports on GDP Real Exports and Imports FIGURE IM 950 850 Negative net exports 750 650 550 X Positive net exports 450 0 4,800 5,200 5,600 6,000 6,400 6,800 7,200 Real GDP Real Net Exports 200 100 Positive net exports 0 4,800 5,200 –100 –200 6,000 6,400 6,800 7,200 5,600 Negative net exports –300 X – IM Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 14: Equilibrium GDP with Variable Imports FIGURE Real Expenditure 45 E Positive net exports C + I + G + (X – IM ) (fixed imports) C + I + G + (X – IM ) (variable imports) Negative net exports 6,000 X – IM Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 15: The Multiplier with Variable Imports FIGURE 45 Real Expenditure A C + I + G + (X 1 – IM ) C + I + G + (X 0 – IM ) Rise in exports = $160 E Rise in GDP = $400 6,000 6,400 Real GDP Copyright © 2006 South-Western/Thomson Learning. All rights reserved. 7: Equilibrium Income after a $160 Billion Increase TABLE Copyright © 2006 South-Western/Thomson Learning. All rights reserved.