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Dynamic mean-risk optimization in a binomial model

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  • Nicole Bäuerle
  • André Mundt

Abstract

We consider a dynamic mean-risk problem, where the risk constraint is given by the Average Value–at–Risk. As financial market we choose a discrete-time binomial model which allows for explicit solutions. Problems where the risk constraint on the final wealth is replaced by intermediate risk constraints are also considered. The problems are solved with the help of the theory of Markov decision models and a Lagrangian approach. Copyright Springer-Verlag 2009

Suggested Citation

  • Nicole Bäuerle & André Mundt, 2009. "Dynamic mean-risk optimization in a binomial model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(2), pages 219-239, October.
    • Handle: RePEc:spr:mathme:v:70:y:2009:i:2:p:219-239
    DOI: 10.1007/s00186-008-0267-0
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    References listed on IDEAS

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    1. Yiu, K. F. C., 2004. "Optimal portfolios under a value-at-risk constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1317-1334, April.
    2. Domenico Cuoco & Hua He & Sergei Issaenko, 2001. "Optimal Dynamic rading Strategies with Risk Limits," FAME Research Paper Series rp60, International Center for Financial Asset Management and Engineering.
    3. Gino Favero & Tiziano Vargiolu, 2006. "Shortfall risk minimising strategies in the binomial model: characterisation and convergence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 237-253, October.
    4. 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.
    5. Susanne Emmer & Claudia Klüppelberg & Ralf Korn, 2001. "Optimal Portfolios with Bounded Capital at Risk," Mathematical Finance, Wiley Blackwell, vol. 11(4), pages 365-384, October.
    6. Traian A. Pirvu, 2007. "Portfolio optimization under the Value-at-Risk constraint," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 125-136.
    7. 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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    1. repec:ehu:biltok:14745 is not listed on IDEAS
    2. Escudero, Laureano F. & Garín, María Araceli & Merino, María & Pérez, Gloria, 2016. "On time stochastic dominance induced by mixed integer-linear recourse in multistage stochastic programs," European Journal of Operational Research, Elsevier, vol. 249(1), pages 164-176.

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