南开大学学报(自然科学版) ›› 2019 ›› Issue (6): 60-.

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随机利率和随机波动率下保险和再保险公司的稳健最优投资策略 ( 英文 )

  

  • 出版日期:2019-12-20 发布日期:2019-12-23

  • Online:2019-12-20 Published:2019-12-23

摘要: A robust optimal proportional reinsurance and investment management problem is studied for a general insurance company which holds shares of an insurance company and a reinsurance company. Both the insurance company and reinsurance company are allowed to invest in a risk-free asset and a risky asset with stochastic interest rate and stochastic volatility, in which the interest rate is described by an affine model. Besides, the general insurance company's manager is an ambiguity-averse manager who worries about model uncertainty. By employing the dynamic programming approach, the explicit formulae is derived for the optimal robust reinsurance-investment strategy and the optimal value function, and one special case is discussed subsequently. Finally, a part of numerical examples is presented to illustrate the effects of model parameters.

关键词:  , robust investment-reinsurance strategy, stochastic interest rate, stochastic volatility, ambiguity-averse manager