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On optimality, endogenous discounting and wealth accumulation

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  • SCHUMACHER, Ingmar

Abstract

We endogenize the discount rate via a broad measure of wealth and provide empirical evidence that wealth affects the discount rate negatively. We demonstrate that the Pontryagin conditions require positive felicity for intuitive results, whereasthe concavity of the Hamiltonian requires negative felicity for optimality. This dilemma also holds for the endogenizations of Obstfeld (1990) and followers. We solve the model with positive felicity and resolve when optimality is possible. We discussthe impact on technological change, savings and convergence which are more in line with empirics. Finally, we discuss time consistency of a planner who cannot predict his preferences.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2006103.

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Date of creation: 00 Nov 2006
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Handle: RePEc:cor:louvco:2006103

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Keywords: endogenous time preference; stability; optimal growth; recursive utility;

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Cited by:
  1. Ingmar Schumacher, 2009. "Endogenous discounting via wealth, Twin-Peaks and the role of technology," Working Papers hal-00356233, HAL.
  2. Kirill Borissov, 2011. "Growth and Distribution in a Model with Endogenous Time Peferences and Borrowing Constraints," DEGIT Conference Papers c016_073, DEGIT, Dynamics, Economic Growth, and International Trade.

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