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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 1 MACROECONOMICS BGSE/UPF LECTURE SLIDES SET 4 Professor Antonio Ciccone
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 2 3. Applications of the Ramsey- Cass-Koopmans (RCK) model 3.1 Government spending, consumption, and interest rates 3.2 Bond versus tax financed government spending
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 3 3.1 Government spending, consumption, and interest rates - Comparative “dynamics” in the RCK model - Permanent, surprise drop in output - Temporary, surprise drop in output - Wars, government expenditures and interest rates - The role of expectations - Permanent, anticipated drop in output - Temporary, anticipated drop in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 4 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 The RCK model
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 5 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 6 k c NEW k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Permanent, surprise fall in output for given k
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 7 time Permanent, surprise fall in output Evolution of consumption
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 8 time Permanent, surprise fall in output Evolution of capital intensity
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 9 -- consumption can JUMP at the time new information arrives -- but consumption must be smooth (follow the first-order condition) from than onward: There CANNOT BE an ANTICIPATED jump in consumption
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 10 k c NEW k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, surprise fall in output for given k: PART I k-ISOCLINE: NO CAPITAL GROWTH
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 11 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, surprise fall in output for given k: PART II
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 12 k c NEW k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary,surprise fall in output: Equilibrium response
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 13 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary,surprise fall in output: Equilibrium response
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 14 time START of Temp fall in output END of Temp fall in output Evolution of the capital intensity
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 15 time START of Temp fall in output END of Temp fall in output Evolution of real interest rate
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 16 time START of Temp fall in output Evolution of consumption END of Temp fall in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 17 Wars and real interest rates -- Suppose government expenditures associated with wars are surprise, temporary events -- Study the dynamic response of: capital, interest rates, and consumption to wars -- Government expenditures associated with wars decrease output available for consumption and investment INCREASE G Same effect as temporary fall in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 18 time START of War END of War Evolution of real interest rate
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 19
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 20 - The role of expectations - Permanent, anticipated drop in output - Temporary, anticipated drop in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 21 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Permanent, anticipated fall in output: PART I
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 22 k c NEW k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Permanent, anticipated fall in output: PART II
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 23 k c NEW k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Permanent, anticipated fall in output: Equilibrium response
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 24 time INFO of permanent FUTURE fall in output Evolution of capital intensity Output actually falls
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 25 time INFO of permanent FUTURE fall in output Evolution of consumption Output actually falls
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 26 - The role of expectations - Permanent, anticipated drop in output - Temporary, anticipated drop in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 27 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, anticipated fall in output for given k: PART I
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 28 k c NEW k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, anticipated fall in output for given k: PART II
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 29 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, anticipated fall in output for given k: PART III
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 30 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, anticipated fall in output: Equilibrium response
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 31 k c k-ISOCLINE: NO CAPITAL GROWTH c-ISOCLINE: NO CONSUMPTION GROWTH k* 0 Temporary, anticipated fall in output: Equilibrium response
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 32 time INFO of FUTURE Temp fall in output END of Temp fall in output Evolution of the capital intensity START of FUTURE Temp fall in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 33 time Evolution of consumption INFO of FUTURE Temp fall in output END of Temp fall in output START of FUTURE Temp fall in output
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 34 3. Application of the Ramsey- Cass-Koopmans (RCK) model 3.1 Government spending, consumption, and interest rates 3.2 Bond versus tax financed government spending
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 35 Government expenditures and taxes Government intertemporal budget constraint
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 36 -- Suppose that households believe in government budget constraint -- The government cut taxes at time t -- But there is no indication that the government cuts expenditures -- WHAT HAPPENS TO DISCOUNTED FLOW OF TAXES?
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 37 Nothing, because: and the right-hand side of this equation has not changed. Government will have to compensate current tax cut by tax increase sometime in the future.
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 38 Now let’s look at household intertemporal budget constraint: -- current tax cut does NOT affect this constraint at all as only the DISCOUNTERD PRESENT VALUE OF TAXES MATTERS -- and present value of taxes remains constant if expenditures do not change
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 39 -- TAX CUT DOES NOT CHANGE HH CONSUMPTION -- AS A RESULT IT DOES NOT CHANGE THE NATIONAL SAVINGS RATE: -- DOES NOT AFFECT: - INVESTMENT(!) - AND INTEREST RATES (!) -- HH SAVINGS INCREASES, BUT IS OFFSET BY AN INCREASE IN GOVERNMENT DEFICIT:
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BGSE/UPF Macroeconomics, 2008-09 SLIDE SET 4 SLIDE 40 Hence, government cuts taxes Has to issue debt (government bonds) Government ensures that real interest rate on bond mimics market interest rate (before issue of new bonds) Households buy these new bonds with their tax savings Hence, Household use to buy government bonds what they “save” in current taxes
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