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Multiperiod Mean-Variance Optimization with Intertemporal Restrictions

Author

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  • O. L. V. Costa

    (Escola Politécnica da Universidade de São Paulo)

  • R. B. Nabholz

    (Escola Politécnica da Universidade de São Paulo)

Abstract

We investigate mean-variance optimization problems that arise in portfolio selection. Restrictions on intermediate expected values or variances of the portfolio are considered. Some explicit procedures for obtaining the solution are presented. The main advantage of this technique is that it is possible to control the intermediate behavior of a portfolio’s return or variance. Some examples illustrating these situations are presented.

Suggested Citation

  • O. L. V. Costa & R. B. Nabholz, 2007. "Multiperiod Mean-Variance Optimization with Intertemporal Restrictions," Journal of Optimization Theory and Applications, Springer, vol. 134(2), pages 257-274, August.
    • Handle: RePEc:spr:joptap:v:134:y:2007:i:2:d:10.1007_s10957-007-9233-x
    DOI: 10.1007/s10957-007-9233-x
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    References listed on IDEAS

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    1. Costa, O. L. V. & Paiva, A. C., 2002. "Robust portfolio selection using linear-matrix inequalities," Journal of Economic Dynamics and Control, Elsevier, vol. 26(6), pages 889-909, June.
    2. Leippold, Markus & Trojani, Fabio & Vanini, Paolo, 2004. "A geometric approach to multiperiod mean variance optimization of assets and liabilities," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1079-1113, March.
    3. Duan Li & Wan‐Lung Ng, 2000. "Optimal Dynamic Portfolio Selection: Multiperiod Mean‐Variance Formulation," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 387-406, July.
    4. David, Alexander, 1997. "Fluctuating Confidence in Stock Markets: Implications for Returns and Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(4), pages 427-462, December.
    5. Rudolf, Markus & Wolter, Hans-Jurgen & Zimmermann, Heinz, 1999. "A linear model for tracking error minimization," Journal of Banking & Finance, Elsevier, vol. 23(1), pages 85-103, January.
    6. Howe, M. A. & Rustem, B., 1997. "A robust hedging algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1065-1092, June.
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    Cited by:

    1. Yuanyuan Zhang & Xiang Li & Sini Guo, 2018. "Portfolio selection problems with Markowitz’s mean–variance framework: a review of literature," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 125-158, June.
    2. Helu Xiao & Tiantian Ren & Yanfei Bai & Zhongbao Zhou, 2019. "Time-Consistent Investment-Reinsurance Strategies for the Insurer and the Reinsurer under the Generalized Mean-Variance Criteria," Mathematics, MDPI, vol. 7(9), pages 1-25, September.
    3. Yanfei Bai & Zhongbao Zhou & Rui Gao & Helu Xiao, 2020. "Nash Equilibrium Investment-Reinsurance Strategies for an Insurer and a Reinsurer with Intertemporal Restrictions and Common Interests," Mathematics, MDPI, vol. 8(1), pages 1-26, January.

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