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Dynamic Arbitrage-free Asset Pricing with Proportional Transaction Costs

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Abstract

This paper studies arbitrage-free conditions for multiperiod asset pricing in frictional financial markets with proportional transaction costs. We consider the Euclidean space for weakly arbitrage-free security markets and Strongly arbitrage-free security markets, and establish the weakly arbitrage-free pricing theorem and the strongly arbitrage-free pricing theorem.

Suggested Citation

  • Xiaotie Deng & Chunlei Xu & Shunming Zhang, 2000. "Dynamic Arbitrage-free Asset Pricing with Proportional Transaction Costs," University of Western Ontario, Departmental Research Report Series 200013, University of Western Ontario, Department of Economics.
    • Handle: RePEc:uwo:uwowop:200013
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    Cited by:

    1. Alet Roux, 2007. "The fundamental theorem of asset pricing under proportional transaction costs," Papers 0710.2758, arXiv.org.
    2. Xiaotie Deng & Zhong Li & Shouyang Wang & Hailiang Yang, 2005. "Necessary and Sufficient Conditions for Weak No-Arbitrage in Securities Markets with Frictions," Annals of Operations Research, Springer, vol. 133(1), pages 265-276, January.
    3. Martin Brown & Tomasz Zastawniak, 2020. "Fundamental Theorem of Asset Pricing under fixed and proportional transaction costs," Annals of Finance, Springer, vol. 16(3), pages 423-433, September.
    4. Martin Brown & Tomasz Zastawniak, 2019. "Fundamental Theorem of Asset Pricing under fixed and proportional transaction costs," Papers 1905.01859, arXiv.org, revised May 2019.
    5. Tomasz Zastawniak, 2024. "Fundamental Theorem of Asset Pricing under fixed and proportional costs in multi-asset setting and finite probability space," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 47(1), pages 137-149, June.
    6. Detlef Seese & Christof Weinhardt & Frank Schlottmann (ed.), 2008. "Handbook on Information Technology in Finance," International Handbooks on Information Systems, Springer, number 978-3-540-49487-4, December.
    7. Roux, Alet, 2011. "The fundamental theorem of asset pricing in the presence of bid-ask and interest rate spreads," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 159-163, March.
    8. Baccara, Mariagiovanna & Battauz, Anna & Ortu, Fulvio, 2006. "Effective securities in arbitrage-free markets with bid-ask spreads at liquidation: a linear programming characterization," Journal of Economic Dynamics and Control, Elsevier, vol. 30(1), pages 55-79, January.

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