JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (5): 49-57.doi: 10.6040/j.issn.1671-9352.0.2016.244

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Diffusion approximation and optimal investment for modern risk model

ZHANG Jie-song   

  1. School of Management, Huaibei Normal University, Huaibei 235000, Anhui, China
  • Received:2016-06-07 Online:2017-05-20 Published:2017-05-15

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Abstract: Based on the modern risk model based on the policy entry process, this paper describes the surplus process of the insurance company, and proves that the risk process can be approximated to the diffusion process with time-varying drift rate by using the martingale central limit theorem. On this basis, it is assumed that the insurers buy a fixed proportion of reinsurance and invest in the Black-Scholes financial market and study the investment decision-making problem that minimizes the probability of ruin. The explicit expression of the optimal strategy and the value function is obtained by using the dynamic programming principle.

Key words: policy entrance process, martingale central limit theorem, diffusion approximation, optimal investment

CLC Number: 

  • F840.32
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