Multi-period defined contribution pension funds investment management with regime-switching and mortality risk

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• 作者：Haixiang Yao^a ; ^{yaohaixiang@gdufs.edu.cn} ; Ping Chen^b ; ^{pche@unimelb.edu.au} ; Xun Li^c ; ^{malixun@polyu.edu.hk}
• 关键词：Contribution pension funds ; Multi-period mean&ndash ; variance ; Regime switching ; Mortality risk ; Dynamic programming
• 刊名：Insurance: Mathematics and Economics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：71
• 期：Complete
• 页码：103-113
• 全文大小：636 K
• 卷排序：71

文摘

Using mean–variance criterion, we investigate a multi-period defined contribution pension fund investment problem in a Markovian regime-switching market. Both stochastic wage income and mortality risk are incorporated in our model. In a regime-switching market, the market mode changes among a finite number of regimes, and the market state process is modeled by a Markov chain. The key parameters, such as the bank interest rate, or expected returns and covariance matrix of stocks, will change according to the market state. By virtue of Lagrange duality technique, dynamic programming approach and matrix representation method, we derive expressions of efficient investment strategy and its efficient frontier in closed-form. Also, we study some special cases of our model. Finally, a numerical example based on real data from the American market sheds light on our theoretical results.