理学院数理讲坛（2018年第42讲）
报告题目: Optimal Consumption and Investment Strategies with Liquidity Risk and Uncertain Lifetime
报 告 人：Zhuo Jin
单 位：The University of Melbourne, Australia
报告时间：2018年10月31日（星期三14:00-15:00）
报告地点：龙赛理科楼理学院116
报告摘要：
We consider the optimal consumption and investment strategies for households throughout their lifetime. Risks such as the illiquidity of assets, abrupt changes of market states, and lifetime uncertainty are considered. Taking the effects of heritage into account, investors are willing to limit current consumption in exchange for greater wealth at their death, because they can take advantage of the higher expected returns of illiquid assets. Further, we model the liquidity risks in an illiquid market state by introducing frozen periods with uncertain lengths, during which investors cannot continuously rebalance their portfolios between different types of assets. In a liquid market, investors can continuously remix their investment portfolios. In addition, a Markov regime switching process is introduced to describe the changes in the market’s states. Jumps, classified as either moderate or severe, are jointly investigated with liquidity risks. Explicit forms of the optimal consumption and investment strategies are developed using the dynamic programming principle. Markov chain approximation methods are adopted to obtain the value function. Numerical examples demonstrate that the liquidity of assets and market states have significant effects on optimal consumption and investment strategies in various scenarios.
报告人简介：
金卓，博士，澳大利亚墨尔本大学经济系精算中心高级讲师。 2005年和2007毕业于华中科技大学数学系应用数学专业，分别获理学学士和硕士学位，2011年毕业于美国韦恩州立大学数学系数学专业，获哲学博士学位。2011年9月至今在澳大利亚墨尔本大学经济系精算中心工作。2014年获得北美精算协会（SOA）准精算师。研究方向为随机最优控制，随机系统的数值方法，精算学，数理金融。在国际期刊发表20余篇论文，期刊包括Automatica，SIAM Journal on Control and Optimization, Insurance Mathematics and Economics. 现任Journal of Systems Science and Complexity编委，SIAM Activity Group on Control and Systems Theory Newsletter主编，美国Mathematical Reviews 评论员。先后为30余家国际期刊担任审稿人。