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Article
Precautionary paying for stochastic improvements under background risks
Insurance : Mathematics and Economics
  • Hongxia WANG, Huazhong University of Science and Technology, China
  • Jianli WANG, Nanjing University of Aeronautics and Astronautics, China
  • Jingyuan LI, Lingnan University, Hong Kong
  • Xinping XIA, Huazhong University of Science and Technology, China
Document Type
Journal article
Publication Date
9-1-2015
Keywords
  • Background risk,
  • Stochastic improvements,
  • Cross-prudence,
  • Precautionary saving,
  • Precautionary effort
Disciplines
Abstract

In a two-dimensional framework, we propose a general two-period decision model which extends the temporal precautionary saving and effort model. We relate the role of cross-prudence to the impact of background risks on paying for stochastic improvements of the future risk. We find that the effect of background risks introduced in the first period is consistent to signing cross derivatives of bivariate utility functions, which is independent of the type of stochastic improvements brought by additional paying; however, when the background risk occurs in the second period, that is not the case.

DOI
10.1016/j.insmatheco.2015.05.012
E-ISSN
18735959
Publisher Statement

Copyright © 2015 Elsevier B.V.

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Citation Information
Wang, H., Wang, J., & Li, J., & Xia, X. (2015). Precautionary paying for stochastic improvements under background risks. Insurance: Mathematics and Economics, 64, 180-185. doi: 10.1016/j.insmatheco.2015.05.012