Markowitz's mean-variance asset-liability management with regime switching: A continuous-time model

被引:112
作者
Chen, Ping [1 ]
Yang, Hailiang [1 ]
Yin, George [2 ]
机构
[1] Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
基金
美国国家科学基金会;
关键词
Continuous-time model; Regime switching; Markov chain; Asset-liability management; Portfolio selection; Efficient frontier; Linear quadratic control;
D O I
10.1016/j.insmatheco.2008.09.001
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper considers an asset-liability management (ALM) problem under a continuous-time Markov regime-switching model. By adopting the techniques of [Zhou, X.Y., Yin, G., 2003. Markowitz's mean-variance portfolio selection with regime switching: A continuous-time model. SIAM J. Control Optim. 42, 1466-1482], we investigate the feasibility, obtain the optimal strategy, delineate the efficient frontier, and establish the associated Mutual fund theorem. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:456 / 465
页数:10
相关论文
共 24 条
[11]  
Luenberger DG., 1997, Optimization by Vector Space Methods
[12]   PORTFOLIO SELECTION [J].
Markowitz, Harry .
JOURNAL OF FINANCE, 1952, 7 (01) :77-91
[13]  
Merton R.C., 1990, Continuous-Time Finance
[14]   OPTIMUM CONSUMPTION AND PORTFOLIO RULES IN A CONTINUOUS-TIME MODEL [J].
MERTON, RC .
JOURNAL OF ECONOMIC THEORY, 1971, 3 (04) :373-413
[15]   LIFETIME PORTFOLIO SELECTION UNDER UNCERTAINTY - CONTINUOUS-TIME CASE [J].
MERTON, RC .
REVIEW OF ECONOMICS AND STATISTICS, 1969, 51 (03) :247-257
[16]   Ruin problems with assets and liabilities of diffusion type [J].
Norberg, R .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 81 (02) :255-269
[17]  
Roy AD, 1952, ECONOMETRICA, V20, pA431
[18]   LIFETIME PORTFOLIO SELECTION BY DYNAMIC STOCHASTIC PROGRAMMING [J].
SAMUELSON, PA .
REVIEW OF ECONOMICS AND STATISTICS, 1969, 51 (03) :239-246
[19]   LIABILITIES - A NEW APPROACH [J].
SHARPE, WF ;
TINT, LG .
JOURNAL OF PORTFOLIO MANAGEMENT, 1990, 16 (02) :5-10
[20]   Continuous-time portfolio selection with liability: Mean-variance model and stochastic LQ approach [J].
Xie, Shuxiang ;
Li, Zhongfei ;
Wang, Shouyang .
INSURANCE MATHEMATICS & ECONOMICS, 2008, 42 (03) :943-953