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随机利率对一类最优投资与再保险的影响
引用本文:王永茂,刘素宏,石汉武. 随机利率对一类最优投资与再保险的影响[J]. 辽宁工程技术大学学报(自然科学版), 2011, 30(2): 296-299
作者姓名:王永茂  刘素宏  石汉武
作者单位:燕山大学理学院,河北,秦皇岛,066004
基金项目:河北省教育厅基金资助项目(Z2008136)
摘    要:为了避免固定利率在保险实务中带来的巨大偏差,引入随机利率来推导保险公司最优投资与再保险策略,并且通过比较保险公司引入随机利率前后的最优再保险与投资策略,可以看到采用固定利率在实际计算中带来了较大偏差,从而得出采用随机利率更符合实际的结论,对保险公司进行投资有一定的参考价值。

关 键 词:随机利率  生存概率  HJB方程  比例再保险  最优投资

Impact on optimal investment and reinsurance by random interest rate
WANG Yongmao,LIU Suhong,SHI Hanwu. Impact on optimal investment and reinsurance by random interest rate[J]. Journal of Liaoning Technical University (Natural Science Edition), 2011, 30(2): 296-299
Authors:WANG Yongmao  LIU Suhong  SHI Hanwu
Affiliation:WANG Yongmao,LIU Suhong,SHI Hanwu(College of Sciences,Yanshan University,Qinhuangdao 066004,China)
Abstract:In order to avoid the large deviation caused by fixed interest rates in insurance industry,this paper introduces a stochastic interest rate to calculate optimal investment and reinsurance strategies.In comparison on the strategies derived using a fixed interest rate and a stochastic interest rate,it shows that the investment under random interest rate is more feasible.This study provides some useful insights for insurance company's investment.
Keywords:random interest rate  survival probability  HJB equation  proportional reinsurance  optimal investment  
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