% Table of Contents for job `proofs' -- Created at 2005/5/12 14:22
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\TOCitem{1}
{\TOCsID{1.}Introduction}
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\TOCitem{1}
{\TOCsID{2.}The Economic Model}
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\TOCitem{2}
{\TOCsID{2.1.}Nomenclature}
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\TOCitem{2}
{\TOCsID{2.2.}Maximization problems}
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\TOCitem{2}
{\TOCsID{2.3.}First-order conditions}
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\TOCitem{2}
{\TOCsID{2.4.}Log-linear computation}
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\TOCitem{1}
{\TOCsID{3.}VARs and the 2-Shock Version of the Model}
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\TOCitem{2}
{\TOCsID{3.1.}The Decision Functions}
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\TOCitem{2}
{\TOCsID{3.2.}The Model's Moving Average}
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\TOCitem{2}
{\TOCsID{3.3.}Special Property of the $D$'s}
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\TOCitem{2}
{\TOCsID{3.4.}VAR Coefficients}
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\TOCitem{2}
{\TOCsID{3.5.}Proposition 1: Model has infinite-order VAR}
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\TOCitem{2}
{\TOCsID{3.6.}Blanchard-Quah Identification}
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\TOCitem{3}
{\TOCsID{3.6.1.}Sign convention on $A_0(1,1)$}
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\TOCitem{3}
{\TOCsID{3.6.2.}Sign convention on $\mathaccent "7016 A(1,1)$}
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\TOCitem{3}
{\TOCsID{3.6.3.}Full solution}
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\TOCitem{3}
{\TOCsID{3.6.4.}Cholesky decomposition}
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\TOCitem{2}
{\TOCsID{3.7.}Proposition 2: OLS Results}
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\TOCitem{2}
{\TOCsID{3.8.}The Propositions for Two Special Cases}
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\TOCitem{3}
{\TOCsID{3.8.1.}Proposition 3a: No capital in the model}
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\TOCitem{3}
{\TOCsID{3.8.2.}Proposition 3b: Only one shock}
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\TOCitem{1}
{\TOCsID{4.}VARs and 3-Shock Versions of the Model}
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\TOCitem{2}
{\TOCsID{4.1.}Investment Tax Shock and Investment-Output in VAR}
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\TOCitem{3}
{\TOCsID{4.1.1.}The Model's Moving Average}
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\TOCitem{3}
{\TOCsID{4.1.2.}Special Property of the $D$'s}
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\TOCitem{3}
{\TOCsID{4.1.3.}Proposition 4: Model has infinite-order VAR}
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\TOCitem{3}
{\TOCsID{4.1.4.}A Way to Make $M$ Singular}
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\TOCitem{2}
{\TOCsID{4.2.}Government Spending Shock and Investment-Output in VAR}
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\TOCitem{3}
{\TOCsID{4.2.1.}The Model's Moving Average}
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\TOCitem{2}
{\TOCsID{4.3.}Investment Tax Shock and Consumption-Output in VAR}
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\TOCitem{3}
{\TOCsID{4.3.1.}The Model's Moving Average}
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\TOCitem{2}
{\TOCsID{4.4.}Adding Variables with Little Effect on Fluctuations}
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\TOCitem{1}
{\TOCsID{5.}VARs and 4-Shock Versions of the Model}
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