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MACROECONOMICS BY CURTIS, IRVINE, AND BEGG SECOND CANADIAN EDITION MCGRAW-HILL RYERSON, © 2010 Chapter 7 Government, Fiscal Policy & Real GDP
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Learning Outcomes ©2010 McGraw-Hill Ryerson Ltd. Chapter 7 2 This chapter explains: The government sector of Canadian economy The government sector in the circular flow How taxes & government expenditure affect Y e The government’s budget function & budget balance Fiscal policy, the government’s budget function & balance Automatic stabilizers and discretionary fiscal policy The public debt and the government’s budget balance Government, aggregate demand, and equilibrium output
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Government Outlays in Canada 2007 ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.1 3 Government in Canada = federal, provincial, municipal & hospital.
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The General Govt Sector in G7 Countries 2006 ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.1 4 Canada’s budget surplus and debt ratio were unique in G7 in 2006. Recession & fiscal stimulus 2008 -10 budget deficits in 2008 --
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Government and the Circular Flow ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.2 5 G is an autonomous component of AE Taxes minus transfers = Net taxes NT, NT = tY t ≡ net tax rate = ∆NT/∆Y Taxes YD ≡ Y – NT ∆C component of AE The Govt budget balance BB = NT - G, BB = tY – G Federal Government Budget 2007
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The Federal Govt Budget: Canada 2007 ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.2 6
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Govt Expenditure, Net Taxes & Y e ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 7 Govt expenditure G = G 0 is an autonomous part of AE Then A 0 = C 0 + I 0 + G 0 + X 0 – Z 0 NT = tY Net tax, NT = tY, ∆NT induced by ∆Y ∆slope AE ∆multiplier ∆Y/∆A
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Net Taxes & Consumption ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 8 Net Taxes(NT = tY) reduce YD at every Y YD = Y – NT = Y - tY Then C = C 0 + cYD C = C 0 + c(Y – tY) C = C 0 + c(1 – t)Y C is lower at every Y when t > 0 ∆t ∆C at every Y, ∆C/∆t < 0
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Net Taxes & Consumption ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 9 A Numerical example: ∆C/∆t < 0 Assume: NT = tY = 0.15Y, YD = Y – NT = Y – 0.15Y Then: C = 20 + 0.8YD C = 20 + 0.8(Y – 0.15)Y C = 20 + 0.68Y Now ∆C/∆Y = 0.68: Slope of C function = 0.68
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Net Taxes & Consumption ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 10 C Y C = 20 + 0.8Y, t = 0 C = 20 + 0.68Y, t = 0.15 300 20 224 260 ΔC/ΔY = MPC(1-t) = 0.8 x 0.85 = 0.68 ∆C = 0.8(tY) = 0.8(0.15 x 300) = 36 Taxes ∆C at every Y by – ctY
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The Effect of Taxes and Government Spending on Equilibrium Income ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 11
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Government Expenditure, Taxes, and Equilibrium Output ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 12 AE’ = 105 + 0.6Y AE = 80 + 0.6Y 200 105 80 Y = AE 262.5 Y AE ∆G=25 ∆Y = 62.5 ∆G = 25 ∆A = 25 ∆Y = (1/(1-0.6) = 62.5 NT = 0, ∆G is ∆A ∆Y = ∆A x multiplier 45 0
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Government Expenditure, Taxes, and Equilibrium Output ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 13 o AE’ = 105 + 0.6Y 210 105 Y = AE Adding NT = tY to finance G AE’’ = 105 + 0.5Y 262.5 Y AE 45 0 ∆t =0.125 ∆Y ∆t ∆YD ∆C (∆AE/∆Y) ≡ ∆ slope of AE ∆Multiplier ∆Y e
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The Multiplier Revisited ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.3 14 z & t reduce the slope of AE Lower AE slopes smaller Multipliers
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The Govt Budget and Budget Balance ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.4 15 Government revenue & spending: Net tax revenue: NT = tY Expenditure on goods & services: G Govt budget balance: BB = revenue - expenditure BB = tY – G
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Determinants of Govt Budget Balance BB ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.4 16 The BB depends on: 1. Net tax rate (t) set by govt 2. Expenditure (G) set by the govt 3. GDP (Y) determined by AE and AD
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The Govt’s Budget & Budget Balance ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.4 17 G, NT NT = t 0 Y = 0.2Y G 0 = 200 1500 200 Balanced G 0 & t 0 set by govt Budget Plan Then BB determined by Y, ∆Y ∆BB Y Deficit 600 Surplus
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The Govt’s Budget Function ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.4 18 The Govt’s Fiscal Plan sets t 0 & G 0 : NT = t 0 Y, G = G 0 Budget Function: BB 0 = t 0 Y - G 0 E.g. if BB 0 = 0.2Y – 200 ∆BB/∆Y > 0 Y NT G BB 200 40200-160 600 120200- 80 1000 200200 0 1600320200 120
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The Govt’s Budget Function ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.4 19 +BB BB 0 = 0.2Y-200 1400 0 -80 600 1000 Y +80 -200 This fiscal program sets t = 0.2 & G = 200 The BB depends on Y: ∆BB/∆Y > 0 A Govt Budget Function: BB 0 = 0.2Y - 200
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Fiscal Policy & Govt Budget Balance ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.5 20 Fiscal policy objectives: Stabilize equilibrium Y at Y P &/or, Manage budget deficits & public debt Fiscal policy instruments: Set net tax rate (t), both taxes & transfers Set government expenditure (G) ∆ Fiscal Policy ≡ ∆Fiscal Plan ∆BB function
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Expansionary Fiscal Policy ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.5 21 Y AE 0 o AE 1 ΔG > 0 YPYP YPYP 45 0 Y0Y0 ∆Y AE A0A0 A 0 + ∆G (Y 0 – Y P ) = Recessionary Gap ∆Y = ∆G x multiplier Y = AE ∆G > 0 ↓ Recessionary Gap
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Restrictive Fiscal Policy ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.5 22 AE 2 o AE 3 Y p Y 2 Y Δt > 0 ∆t > 0 to ↓ Inflationary Gap 45 0 YPYP A0A0 AE ∆Y < 0 (Y 2 – Y P ) > 0 Inflationary gap ∆t > 0 ↓ multiplier ↓ Y e Y P
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The Structural Budget Balance ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.5 23 Indicators of Fiscal Policy Stance Actual BB: an ambiguous fiscal indicator Actual BB: an ambiguous fiscal indicator ∆Y &/or ∆Fiscal program ∆ BB Structural budget balance (SBB) ≡ Structural budget balance (SBB) ≡ BB estimated @ Y P SBB = t 0 Y P – G 0 ∆Fiscal program (∆t 0 &/or ∆G 0 ) ∆SBB ∆SBB shift BB function ≡ ∆Fiscal Policy Stance
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Actual & Structural Budget Balances ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.5 24 BB 0 = t 0 Y – G 0 0 -BB 1 -G 0 YpYp +BB 2 SBB 0 Y2Y2 Y1Y1 B A C BB > 0 BB < 0 BB 0 = t 0 Y – G 0 SBB 0 = t 0 Y P – G 0 Y – BB + BB ∆BB/∆Y > 0 ∆SBB/∆Y = 0
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Automatic & Discretionary Fiscal Policy ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.6 25 Automatic fiscal stabilizers Reduce slope of AE reduce ∆Y/∆A (the multiplier) NT = tY (∆AE/∆Y) = [(1 – t)(c – z)] Built into budget program by setting t in NT = tY ∆BB moves along BB function with ∆Y Discretionary fiscal policies ∆t &/or ∆G shift BB function ∆SBB Shift AE & AD functions & ∆slopes AE ∆Y
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Automatic and Discretionary Fiscal Policy ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.6 26 BB 0 = t 0 Y – G 0 0 BB 1 -G 0 YpYp BB 2 SBB 0 Y2Y2 Y1Y1 B A C Discretionary Policy: ∆t or ∆G ∆SBB Shift BB line Automatic Stabilization: ∆Y ∆BB along BB line Y – BB +BB
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The Public Debt and the Budget Balance ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.7 27 Public Debt (PD) ≡ govt bonds issued to finance BB < 0 The outstanding PD = ∑ ( past BB, + & - ) ΔPD = - BB Public Debt Ratio ≡ PD/Y
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Canadian Federal Govt Budget Balances & Public Debt Ratios 1983-2007 ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.7 28
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Algebra of Income Determination ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.7 29 A general model of Y determination: Consumption: C = C 0 + cYD, YD = Y – NT Investment: I = I 0 Govt G = G 0,NT = tY Exports X = X 0 Imports Z = Z 0 + zY AE = C + I + G + X – Z = C 0 + I 0 + G 0 + X 0 – Z 0 + [c(1 – t) – z] Y = A 0 +[c(1 – t) – z] Y
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Algebra of Income Determination ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.7 30
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The Multiplier in Canada ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.8 31 The Multiplier for Canada Estimates for Canada: c(1-t) = 0.54 z = 0.34
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AE, AD, & Y e ©2010 McGraw-Hill Ryerson Ltd. Chapter 7.8 32 Equil Y = AE AE = A 0 + [c(1 – t) – z]Y Y = A 0 / (1 - c(1 – t) + z) Equil Y & P: AD = AS 45 0 ∆A ∆Y∆Y Y = AE AE A0A0 A1A1 A 0 +[c(1-t)-z]Y A 1 +[c(1-t)-z]Y Y1Y1 Y 0 Y P P0P0 AS AD 0 AD 1 Y1Y1 Y 0 Y ∆Y ∆A Shift AE ∆Y Shift AD = ∆Y ∆Y e @ P 0
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Chapter Summary ©2010 McGraw-Hill Ryerson Ltd. Chapter 7 33 G is part of autonomous spending (A) in AE & AD. Net taxes, NT = tY Net taxes, NT = tY slope of AE multiplier NT ↓ YD/Y ↓ ∆C/∆Y ↓ slope of AE & ↓ multiplier govt’s Budget Balance The govt’s Budget Balance BB = NT – G Fiscal policy: ∆t &/or ∆G ∆AD Y = Y P Fiscal policy: ∆t &/or ∆G ∆AD Y = Y P Structural budget balance: SBB = NT( Structural budget balance: SBB = NT(Y P ) - G ∆SBB indicates ∆discretionary fiscal policy.
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Chapter Summary ©2010 McGraw-Hill Ryerson Ltd. Chapter 7 34 ∆Y/∆A the multiplier. Automatic stabilizers: ↓ ∆Y/∆A the multiplier smaller business cycle ∆Y’s. = ∑ (past BB), ∆PD = – BB Public Debt = ∑ (past BB), ∆PD = – BB Public Debt Ratio = PD/Y may limit fiscal policy ∆BB < 0 when Y < Y P stabilization & fiscal stimulus
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