Stochastic optimal growth model with risk sensitive preferences

• 成果类型: Article
• 署名作者: Baeuerle, Nicole; Jaskiewicz, Anna
• 署名单位: Helmholtz Association; Karlsruhe Institute of Technology; Wroclaw University of Science & Technology
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2017.11.005
• 发表日期: 2018
• 页码: 181-200
• 关键词: STOCHASTIC GROWTH MODEL; Entropic risk measure; Unbounded utility; Unbounded shocks

摘要

This paper studies a one-sector optimal growth model with i.i.d. productivity shocks that are allowed to be unbounded. The utility function is assumed to be non-negative and unbounded from above. The novel feature in our framework is that the agent has risk sensitive preferences in the sense of Hansen and Sargent (1995). Under mild assumptions imposed on the productivity and utility functions we prove that the maximal discounted non-expected utility in the infinite time horizon satisfies the optimality equation and the agent possesses a stationary optimal policy. A new point used in our analysis is an inequality for so-called associated random variables. We also establish the Euler equation that incorporates the solution to the optimality equation. (C) 2017 Elsevier Inc. All rights reserved.