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Low order-value approach for solving VaR-constrained optimization problems

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  • E. Birgin

  • L. Bueno

  • N. Krejić

  • J. Martínez

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  • E. Birgin & L. Bueno & N. Krejić & J. Martínez, 2011. "Low order-value approach for solving VaR-constrained optimization problems," Journal of Global Optimization, Springer, vol. 51(4), pages 715-742, December.
    • Handle: RePEc:spr:jglopt:v:51:y:2011:i:4:p:715-742
    DOI: 10.1007/s10898-011-9656-7
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    References listed on IDEAS

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    1. Jean-Philippe Bouchaud & Yuval Gefen & Marc Potters & Matthieu Wyart, 2004. "Fluctuations and response in financial markets: the subtle nature of 'random' price changes," Quantitative Finance, Taylor & Francis Journals, vol. 4(2), pages 176-190.
    2. Miguel Lobo & Maryam Fazel & Stephen Boyd, 2007. "Portfolio optimization with linear and fixed transaction costs," Annals of Operations Research, Springer, vol. 152(1), pages 341-365, July.
    3. Jean-Philippe Bouchaud & Yuval Gefen & Marc Potters & Matthieu Wyart, 2003. "Fluctuations and response in financial markets: the subtle nature of `random' price changes," Papers cond-mat/0307332, arXiv.org, revised Aug 2003.
    4. Jón Daníelsson & Bjørn Jorgensen & Casper Vries & Xiaoguang Yang, 2008. "Optimal portfolio allocation under the probabilistic VaR constraint and incentives for financial innovation," Annals of Finance, Springer, vol. 4(3), pages 345-367, July.
    5. Aharon Ben‐Tal & Marc Teboulle, 2007. "An Old‐New Concept Of Convex Risk Measures: The Optimized Certainty Equivalent," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 449-476, July.
    6. Fabrizio Lillo & J. Doyne Farmer & Rosario N. Mantegna, 2003. "Master curve for price-impact function," Nature, Nature, vol. 421(6919), pages 129-130, January.
    7. Anthony Man-Cho So & Jiawei Zhang & Yinyu Ye, 2009. "Stochastic Combinatorial Optimization with Controllable Risk Aversion Level," Mathematics of Operations Research, INFORMS, vol. 34(3), pages 522-537, August.
    8. Robert Almgren, 2003. "Optimal execution with nonlinear impact functions and trading-enhanced risk," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 1-18.
    9. R. Andreani & C. Dunder & J. Martínez, 2005. "Nonlinear-programming reformulation of the order-value optimization problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(3), pages 365-384, July.
    10. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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    Cited by:

    1. Emerson V. Castelani & Edilaine Duran & Ronaldo Lopes & Anderson E. Schwertner, 2025. "A Multi-step Algorithm Based on Levenberg-Marquardt Method for Solving LOVO Problems," SN Operations Research Forum, Springer, vol. 6(2), pages 1-26, June.
    2. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "The risk-averse newsvendor problem with random capacity," European Journal of Operational Research, Elsevier, vol. 231(2), pages 328-336.
    3. Woodside-Oriakhi, M. & Lucas, C. & Beasley, J.E., 2013. "Portfolio rebalancing with an investment horizon and transaction costs," Omega, Elsevier, vol. 41(2), pages 406-420.
    4. E. V. Castelani & R. Lopes & W. V. I. Shirabayashi & F. N. C. Sobral, 2021. "A robust method based on LOVO functions for solving least squares problems," Journal of Global Optimization, Springer, vol. 80(2), pages 387-414, June.
    5. E. G. Birgin & J. M. Martínez, 2016. "On the application of an Augmented Lagrangian algorithm to some portfolio problems," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(1), pages 79-92, February.
    6. Zhongyi Jiang & Qiying Hu & Xiaojin Zheng, 2017. "Optimality condition and complexity of order-value optimization problems and low order-value optimization problems," Journal of Global Optimization, Springer, vol. 69(2), pages 511-523, October.

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