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A stochastic programming approach to multicriteria portfolio optimization

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  • Ceren Tuncer Şakar
  • Murat Köksalan

Abstract

We study a stochastic programming approach to multicriteria multi-period portfolio optimization problem. We use a Single Index Model to estimate the returns of stocks from a market-representative index and a random walk model to generate scenarios on the possible values of the index return. We consider expected return, Conditional Value at Risk and liquidity as our criteria. With stocks from Istanbul Stock Exchange, we make computational studies for the two and three-criteria cases. We demonstrate the tradeoffs between criteria and show that treating these criteria simultaneously yields meaningful efficient solutions. We provide insights based on our experiments. Copyright Springer Science+Business Media New York 2013

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  • Ceren Tuncer Şakar & Murat Köksalan, 2013. "A stochastic programming approach to multicriteria portfolio optimization," Journal of Global Optimization, Springer, vol. 57(2), pages 299-314, October.
    • Handle: RePEc:spr:jglopt:v:57:y:2013:i:2:p:299-314
    DOI: 10.1007/s10898-012-0005-2
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    1. Murat Köksalan & Ceren Tuncer Şakar, 2016. "An interactive approach to stochastic programming-based portfolio optimization," Annals of Operations Research, Springer, vol. 245(1), pages 47-66, October.
    2. Pejman Peykani & Mojtaba Nouri & Mir Saman Pishvaee & Camelia Oprean-Stan & Emran Mohammadi, 2023. "Credibilistic Multi-Period Mean-Entropy Rolling Portfolio Optimization Problem Based on Multi-Stage Scenario Tree," Mathematics, MDPI, vol. 11(18), pages 1-23, September.
    3. Alexandros Nikas & Angelos Fountoulakis & Aikaterini Forouli & Haris Doukas, 2022. "A robust augmented ε-constraint method (AUGMECON-R) for finding exact solutions of multi-objective linear programming problems," Operational Research, Springer, vol. 22(2), pages 1291-1332, April.
    4. Isha Chopra & Dharmaraja Selvamuthu, 2020. "Scenario generation in stochastic programming using principal component analysis based on moment-matching approach," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 190-201, March.
    5. Xiaoshi Guo & Sarah M. Ryan, 2021. "Reliability assessment of scenarios generated for stock index returns incorporating momentum," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(3), pages 4013-4031, July.

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