In this paper,we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model.Investment in the foreign markets is allowed,and the...In this paper,we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model.Investment in the foreign markets is allowed,and therefore,the foreign exchange rate model is incorporated.Under the allowing of selling and borrowing,the problem of maximizing the expected exponential utility of terminal wealth is studied.By solving the corresponding Hamilton-Jacobi-Bellman equations,the optimal investment strategies and value functions are obtained.Finally,numerical analysis is presented.展开更多
近年来,中国外汇储备的规模不断扩大,而由于汇率波动引起的外汇储备汇率风险也不断被放大。为了更加全面清晰地分析研究中国外汇储备的汇率风险,通过利用GARCH族模型估计中国外汇储备中主要的货币资产(美元、欧元、日元及英镑)和储备组...近年来,中国外汇储备的规模不断扩大,而由于汇率波动引起的外汇储备汇率风险也不断被放大。为了更加全面清晰地分析研究中国外汇储备的汇率风险,通过利用GARCH族模型估计中国外汇储备中主要的货币资产(美元、欧元、日元及英镑)和储备组合日对数收益率的动态波动率,再利用各种货币及储备组合的动态波动率测算外汇储备的VaR(Value at Risk),及各种货币的动态边际VaR、动态成分VaR和动态增量VaR,并对实证结果进行分析。研究表明:欧元资产风险较大,对外汇储备的风险影响最大,虽然美元资产比重很大,但是美元资产的风险还是较小,对外汇储备的影响较小,而目前外汇储备中日元、英镑资产的比重非常低,因而对外汇储备的风险影响也较小。因此,考虑到控制外汇储备的风险,应当减持欧元资产,适当增持日元资产,谨慎增持英镑资产,在特定情况下,也可以继续适当增持美元资产。展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12301603).
文摘In this paper,we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model.Investment in the foreign markets is allowed,and therefore,the foreign exchange rate model is incorporated.Under the allowing of selling and borrowing,the problem of maximizing the expected exponential utility of terminal wealth is studied.By solving the corresponding Hamilton-Jacobi-Bellman equations,the optimal investment strategies and value functions are obtained.Finally,numerical analysis is presented.
文摘近年来,中国外汇储备的规模不断扩大,而由于汇率波动引起的外汇储备汇率风险也不断被放大。为了更加全面清晰地分析研究中国外汇储备的汇率风险,通过利用GARCH族模型估计中国外汇储备中主要的货币资产(美元、欧元、日元及英镑)和储备组合日对数收益率的动态波动率,再利用各种货币及储备组合的动态波动率测算外汇储备的VaR(Value at Risk),及各种货币的动态边际VaR、动态成分VaR和动态增量VaR,并对实证结果进行分析。研究表明:欧元资产风险较大,对外汇储备的风险影响最大,虽然美元资产比重很大,但是美元资产的风险还是较小,对外汇储备的影响较小,而目前外汇储备中日元、英镑资产的比重非常低,因而对外汇储备的风险影响也较小。因此,考虑到控制外汇储备的风险,应当减持欧元资产,适当增持日元资产,谨慎增持英镑资产,在特定情况下,也可以继续适当增持美元资产。
