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Robust one-way trading with limited number of transactions and heuristics for fixed transaction costs

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  • Wang, Wei
  • Lan, Yingjie

Abstract

A one-way trader has a certain amount of goods to trade over a finite period of time, but faces price uncertainties for which a probability distribution is unavailable. The problem becomes even more complicated with fixed transaction cost, which is very common in real world. Limiting the total number of transactions to control for transaction costs seems straightforward, but how to implement this effectively in real time with efficient algorithms backed by theoretical results is a big challenge and has not been well studied in the literature. Such one-way trading problem with limited number of transactions is formulated in a robust optimization framework. Theoretical analysis finds the optimal trading strategy with closed-form solution, identifies the worst price scenarios to help gain trading insights and spot trading opportunities, and shows that in the worst scenario, all of the optimal trades are of equal amount. On the practice side, a highly efficient heuristic to deal with fixed transaction costs is designed by choosing a proper limit on the number of transactions and merging trades on the fly, whose effectiveness and robustness are demonstrated by numerical experiments. The heuristic for selling employs a dynamic scheme with gradually increasing reservation price, in stark contrast to the static scheme with decreasing reservation price when the price distribution is known, which helps explain the robust performance of the proposed heuristic.

Suggested Citation

  • Wang, Wei & Lan, Yingjie, 2022. "Robust one-way trading with limited number of transactions and heuristics for fixed transaction costs," International Journal of Production Economics, Elsevier, vol. 247(C).
    • Handle: RePEc:eee:proeco:v:247:y:2022:i:c:s0925527322000305
    DOI: 10.1016/j.ijpe.2022.108437
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    1. Bruno Biais & Denis Hilton & Karine Mazurier & Sébastien Pouget, 2005. "Judgemental Overconfidence, Self-Monitoring, and Trading Performance in an Experimental Financial Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 287-312.
    2. Rongchuan He & Ye Lu, 2021. "A Robust Price‐Setting Newsvendor Problem," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 276-292, January.
    3. Yingjie Lan & Michael O. Ball & Itir Z. Karaesmen, 2011. "Regret in Overbooking and Fare-Class Allocation for Single Leg," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 194-208, December.
    4. da Gama Batista, João & Massaro, Domenico & Bouchaud, Jean-Philippe & Challet, Damien & Hommes, Cars, 2017. "Do investors trade too much? A laboratory experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 18-34.
    5. Yingjie Lan & Huina Gao & Michael O. Ball & Itir Karaesmen, 2008. "Revenue Management with Limited Demand Information," Management Science, INFORMS, vol. 54(9), pages 1594-1609, September.
    6. Mohr, Esther, 2017. "Optimal replenishment under price uncertainty," European Journal of Operational Research, Elsevier, vol. 258(1), pages 136-143.
    7. Jammernegg, Werner & Kischka, Peter, 2009. "Risk preferences and robust inventory decisions," International Journal of Production Economics, Elsevier, vol. 118(1), pages 269-274, March.
    8. Mark Grinblatt & Matti Keloharju, 2009. "Sensation Seeking, Overconfidence, and Trading Activity," Journal of Finance, American Finance Association, vol. 64(2), pages 549-578, April.
    9. Christian L Dunis & Jia Miao, 2005. "Optimal trading frequency for active asset management: Evidence from technical trading rules," Journal of Asset Management, Palgrave Macmillan, vol. 5(5), pages 305-326, February.
    10. René Caldentey & Ying Liu & Ilan Lobel, 2017. "Intertemporal Pricing Under Minimax Regret," Operations Research, INFORMS, vol. 65(1), pages 104-129, February.
    11. Larsen, Kim S. & Wøhlk, Sanne, 2010. "Competitive analysis of the online inventory problem," European Journal of Operational Research, Elsevier, vol. 207(2), pages 685-696, December.
    12. Wang, Charles X. & Webster, Scott & Zhang, Sidong, 2014. "Robust price-setting newsvendor model with interval market size and consumer willingness-to-pay," International Journal of Production Economics, Elsevier, vol. 154(C), pages 100-112.
    13. Zhi-Long Chen & Nicholas G. Hall & Hans Kellerer, 2017. "Dynamic Pricing to Minimize Maximum Regret," Production and Operations Management, Production and Operations Management Society, vol. 26(1), pages 47-63, January.
    14. Wenming Zhang & Yinfeng Xu & Feifeng Zheng & Yucheng Dong, 2012. "Optimal algorithms for online time series search and one-way trading with interrelated prices," Journal of Combinatorial Optimization, Springer, vol. 23(2), pages 159-166, February.
    15. Schroeder, Pascal & Kacem, Imed, 2020. "Competitive difference analysis of the cash management problem with uncertain demands," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1183-1192.
    16. Brad M. Barber & Terrance Odean, 2000. "Trading Is Hazardous to Your Wealth: The Common Stock Investment Performance of Individual Investors," Journal of Finance, American Finance Association, vol. 55(2), pages 773-806, April.
    17. Dai, Wenqiang & Jiang, Qingzhu & Feng, Yi, 2016. "A note: An improved upper bound for the online inventory problem with bounded storage and order costs," European Journal of Operational Research, Elsevier, vol. 249(2), pages 628-630.
    18. Georgia Perakis & Guillaume Roels, 2008. "Regret in the Newsvendor Model with Partial Information," Operations Research, INFORMS, vol. 56(1), pages 188-203, February.
    19. Terrance Odean, 1999. "Do Investors Trade Too Much?," American Economic Review, American Economic Association, vol. 89(5), pages 1279-1298, December.
    20. Brad M. Barber & Terrance Odean, 2001. "Boys will be Boys: Gender, Overconfidence, and Common Stock Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 261-292.
    21. René Caldentey & Ying Liu & Ilan Lobel, 2017. "Intertemporal Pricing Under Minimax Regret," Operations Research, INFORMS, vol. 65(1), pages 104-129, February.
    22. Brad M. Barber & Yi-Tsung Lee & Yu-Jane Liu & Terrance Odean, 2009. "Just How Much Do Individual Investors Lose by Trading?," The Review of Financial Studies, Society for Financial Studies, vol. 22(2), pages 609-632, February.
    23. J. Puerto & A. M. Rodríguez-Chía & A. Tamir, 2009. "Minimax Regret Single-Facility Ordered Median Location Problems on Networks," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 77-87, February.
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