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

来源：

INSURANCE MATHEMATICS & ECONOMICS | 2008年 / 43卷 / 03期

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

页码：456 / 465

页数：10

共 24 条

[1] Stochastic linear quadratic regulators with indefinite control weight costs [J].

Chen, SP ;

Li, XJ ;

Zhou, XY .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1998, 36 (05) :1685-1702

[2]

CHIU MC, 2006, J OPTIMIZAT IN PRESS

[3] Asset and liability management under a continuous-time mean-variance optimization framework [J].

Chiu, Mei Choi ;

Li, Duan .

INSURANCE MATHEMATICS & ECONOMICS, 2006, 39 (03) :330-355

[4] A path integral approach to asset-liability management [J].

Decamps, M ;

De Schepper, A ;

Goovaerts, M .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 363 (02) :404-416

[5] Option pricing and Esscher transform under regime switching [J].

Elliott R.J. ;

Chan L. ;

Siu T.K. .

Annals of Finance, 2005, 1 (4) :423-432

[6]

Fleming W., 2006, CONTROLLED MARKOV PR

[7]

Hardy M.R., 2001, North Am. Actuarial J., V5, P41, DOI [10.1080/10920277.2001.10595984, DOI 10.1080/10920277.2001.10595984]

[8]

Keel A., 1995, ASTIN BULL, V25, P33, DOI [10.2143/AST.25.1.563252, DOI 10.2143/AST.25.1.563252]

[9] A geometric approach to multiperiod mean variance optimization of assets and liabilities [J].

Leippold, M ;

Trojani, F ;

Vanini, P .

JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2004, 28 (06) :1079-1113

[10] Optimal dynamic portfolio selection: Multiperiod mean-variance formulation [J].

Li, D ;

Ng, WL .

MATHEMATICAL FINANCE, 2000, 10 (03) :387-406

← 1 2 3 →