Operations Research Transactions ›› 2014, Vol. 18 ›› Issue (3): 88-98.

• Original Articles • Previous Articles     Next Articles

Optimal consumption-portfolio and bequest with insurance and retirement under Knighting uncertainty

LIU Hongjian1, FEI Weiyin1,*, ZHU Yongwang1, ZHENG Anman2   

  1. 1.  Department of Financial Engineering, Anhui Polytechnic University, Wuhu 241000, Anhui, China, 2. School of Management, Xi'an University of Science and Technology, Xi'an 710600, China
  • Online:2014-09-15 Published:2014-09-15

Abstract: This paper studies an optimal consumption and portfolio problem with an investor's heritage and insurance under Knighting uncertainty and three different borrowing constraints. The optimal consumption-investment and bequest of an investor have been solved explicitly by using of the backward stochastic differential equations (BSDE) theory. Finally, numerical results show that both ambiguity and ambiguity attitude affect the optimal consumption and portfolio choices.

Key words: optimal consumption-portfolio, voluntary retirement, BSDE, Knighting uncertainty, bequest

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