Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (4): 1147-1165.

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Optimal Investment and Proportional Reinsurance Strategies to Minimize the Probability of Drawdown Under Ambiguity Aversion

Yuying Zhao(),Yuzhen Wen*()   

  1. School of Statistics, Qufu Normal University, Shandong Qufu 273165
  • Received:2020-10-22 Online:2021-08-26 Published:2021-08-09
  • Contact: Yuzhen Wen E-mail:zhaoyuying95@163.com;wenyzhen@163.com
  • Supported by:
    the NSFC(11501319);the China Postdoctoral Science Foundation(2015M582064);the NSF of Shandong Province(ZR-2020MA035);the NSF of Shandong Province(ZR2015AL013)

Abstract:

In this paper, we consider the optimal investment and reinsurance control problem for insurers with ambiguity, and we obtain the minimum drawdown probability, optimal robust investment-reinsurance strategies and the associated drift distortion. Moreover, some numerical examples are presented to show the impact of model parameters on the optimal results.

Key words: Ambiguity aversion, Probability of drawdown, Optimal robust investment and reinsurance strategies, Drift distortion

CLC Number: 

  • O224
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