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Risk management strategies via minimax portfolio optimization

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  • Polak, George G.
  • Rogers, David F.
  • Sweeney, Dennis J.

Abstract

Recent extreme economic developments nearing a worst-case scenario motivate further examination of minimax linear programming approaches for portfolio optimization. Risk measured as the worst-case return is employed and a portfolio from maximizing returns subject to a risk threshold is constructed. Minimax model properties are developed and parametric analysis of the risk threshold connects this model to expected value along a continuum, revealing an efficient frontier segmenting investors by risk preference. Divergence of minimax model results from expected value is quantified and a set of possible prior distributions expressing a degree of Knightian uncertainty corresponding to risk preference determined. The minimax model will maximize return with respect to one of these prior distributions providing valuable insight regarding an investor's risk attitude and decision behavior. Linear programming models for financial firms to assist individual investors to hedge against losses by buying insurance and a model for designing variable annuities are proposed.

Suggested Citation

  • Polak, George G. & Rogers, David F. & Sweeney, Dennis J., 2010. "Risk management strategies via minimax portfolio optimization," European Journal of Operational Research, Elsevier, vol. 207(1), pages 409-419, November.
  • Handle: RePEc:eee:ejores:v:207:y:2010:i:1:p:409-419
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    3. Vicente, L.A.B.G. & Cerezetti, F.V. & De Faria, S.R. & Iwashita, T. & Pereira, O.R., 2015. "Managing risk in multi-asset class, multimarket central counterparties: The CORE approach," Journal of Banking & Finance, Elsevier, vol. 51(C), pages 119-130.
    4. Deng, Xue & Chen, Jiaxing & Wang, Xu & Geng, Fengting, 2022. "Non-dominated sorting genetic algorithm-II for possibilistic mean-semiabsolute deviation-Yager entropy portfolio model with complex real-world constraints," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 59-78.
    5. Asimit, Alexandru V. & Bignozzi, Valeria & Cheung, Ka Chun & Hu, Junlei & Kim, Eun-Seok, 2017. "Robust and Pareto optimality of insurance contracts," European Journal of Operational Research, Elsevier, vol. 262(2), pages 720-732.
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    7. De Genaro, Alan, 2016. "Systematic multi-period stress scenarios with an application to CCP risk management," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 119-134.
    8. de Oliveira, Francisco Alexandre & de Paiva, Anderson Paulo & Lima, José Wanderley Marangon & Balestrassi, Pedro Paulo & Mendes, Ronã Rinston Amaury, 2011. "Portfolio optimization using Mixture Design of Experiments: Scheduling trades within electricity markets," Energy Economics, Elsevier, vol. 33(1), pages 24-32, January.
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