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Production, Growth And Business Cycles By Robert G. King, Charles I. Plosser and Sergio T. Rebelo Presented By Erik Grothman, John Hudson and Nate Drunasky
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Introduction Neoclassical Model First Order Conditions Approximation Method Calibration Table Dynamics with Graphs
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Neoclassical Model Preferences – β = Discount Rate – C = Consumption – L = Leisure Production Possibilities – K = Capital Stock – N = Labor input – X = Technological Variations – A = Changes in Total Productivity
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Continued… Capital Accumulation – I = Gross Investment – = Rate of Depreciation of Capital Resource Constraints – Total time allocated to work and leisure must not exceed the endowment – Total uses of the commodity must not exceed output
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Optimization Problem Lagrangian Theorem – Y-C-I – Y= GDP, C= Consumption, and I= Investments
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First Order Conditions
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Approximation Method Approximation of the intertemporal efficiency condition implies that: – = Shadow Price – = Technology Shifts
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Approximation Method
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Linearize Equations Since you cannot derive the previous equations they try to linearize the lines by using the equations below
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Calibration Model
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Dynamics
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