IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2004.12848.html
   My bibliography  Save this paper

Generalization of Affine Feedback Stock Trading Results to Include Stop-Loss Orders

Author

Listed:
  • Chung-Han Hsieh

Abstract

The takeoff point of this paper is to generalize the existing stock trading results for a class of affine feedback controller to include consideration of a stop-loss order. Using the geometric Brownian motion as the underlying stock price model, our main result is to provide a closed-form expression for the cumulative distribution function for the trading profit or loss. In addition, we show that the affine feedback controller with stop-loss order indeed generalizes the result without stop order in the sense of distribution function. Some simulations and illustrative examples are also provided as supporting evidence of the theory. Moreover, we provide some technical results aimed at addressing the issues about survivability, cash-financing considerations, long-only property, and lower bound of the expected gain or loss.

Suggested Citation

  • Chung-Han Hsieh, 2020. "Generalization of Affine Feedback Stock Trading Results to Include Stop-Loss Orders," Papers 2004.12848, arXiv.org.
    • Handle: RePEc:arx:papers:2004.12848
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2004.12848
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Handa, Puneet & Schwartz, Robert A, 1996. "Limit Order Trading," Journal of Finance, American Finance Association, vol. 51(5), pages 1835-1861, December.
    2. Edward O. Thorp, 2011. "The Kelly Criterion in Blackjack Sports Betting, and the Stock Market," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 54, pages 789-832, World Scientific Publishing Co. Pte. Ltd..
    3. Chung-Han Hsieh & B. Ross Barmish & John A. Gubner, 2019. "The Impact of Execution Delay on Kelly-Based Stock Trading: High-Frequency Versus Buy and Hold," Papers 1907.08771, arXiv.org.
    4. Chung-Han Hsieh & B. Ross Barmish & John A. Gubner, 2019. "On Positive Solutions of a Delay Equation Arising When Trading in Financial Markets," Papers 1901.02480, arXiv.org, revised Oct 2019.
    5. Chung-Han Hsieh & B. Ross Barmish, 2017. "On Drawdown-Modulated Feedback Control in Stock Trading," Papers 1710.01503, arXiv.org.
    6. Albanese, Claudio & Campolieti, Giuseppe, 2005. "Advanced Derivatives Pricing and Risk Management," Elsevier Monographs, Elsevier, edition 1, number 9780120476824.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ellul, Andrew & Holden, Craig W. & Jain, Pankaj & Jennings, Robert, 2007. "Order dynamics: Recent evidence from the NYSE," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 636-661, December.
    2. Loukil, Nadia & Yousfi, Ouidad, 2010. "Firm's information environment and stock liquidity: evidence from Tunisian context," MPRA Paper 28699, University Library of Munich, Germany, revised Feb 2011.
    3. Baruch, Shmuel & Panayides, Marios & Venkataraman, Kumar, 2017. "Informed trading and price discovery before corporate events," Journal of Financial Economics, Elsevier, vol. 125(3), pages 561-588.
    4. Beltran, Helena & Durré, Alain & Giot, Pierre, 2009. "Volatility regimes and order book liquidity: Evidence from the Belgian segment of Euronext," Global Finance Journal, Elsevier, vol. 20(1), pages 80-97.
    5. Alexandre Aidov & Olesya Lobanova, 2021. "Volatility and Depth in Commodity and FX Futures Markets," JRFM, MDPI, vol. 14(11), pages 1-16, November.
    6. Wei‐Yu Kuo & Ching‐Ting Lin, 2018. "Trader types and fleeting orders: Evidence from Taiwan Futures Exchange," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(12), pages 1443-1469, December.
    7. Dionne, Georges & Pacurar, Maria & Zhou, Xiaozhou, 2015. "Liquidity-adjusted Intraday Value at Risk modeling and risk management: An application to data from Deutsche Börse," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 202-219.
    8. Erdinc Akyildirim & Shaen Corbet & Guzhan Gulay & Duc Khuong Nguyen & Ahmet Sensoy, 2019. "Order Flow Persistence in Equity Spot and Futures Markets: Evidence from a Dynamic Emerging Market," Working Papers 2019-011, Department of Research, Ipag Business School.
    9. Menkhoff, Lukas & Osler, Carol L. & Schmeling, Maik, 2010. "Limit-order submission strategies under asymmetric information," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2665-2677, November.
    10. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1171-1217.
    11. Arnab Bhattacharjee & Sudipto Roy, 2019. "Abnormal Returns or Mismeasured Risk? Network Effects and Risk Spillover in Stock Returns," JRFM, MDPI, vol. 12(2), pages 1-13, March.
    12. Cotter, John & Dowd, Kevin, 2007. "The tail risks of FX return distributions: A comparison of the returns associated with limit orders and market orders," Finance Research Letters, Elsevier, vol. 4(3), pages 146-154, September.
    13. Min-Hsien Chiang & Tsai-Yin Lin & Chih-Hsien Jerry Yu, 2009. "Liquidity Provision of Limit Order Trading in the Futures Market Under Bull and Bear Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 36(7-8), pages 1007-1038.
    14. Foucault, Thierry, 1999. "Order flow composition and trading costs in a dynamic limit order market1," Journal of Financial Markets, Elsevier, vol. 2(2), pages 99-134, May.
    15. Ahmet Göncü & Erdinc Akyildirim, 2017. "Statistical Arbitrage In The Multi-Asset Black–Scholes Economy," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 1-18, March.
    16. Pascual, Roberto & Pascual-Fuster, Bartolome & Climent, Francisco, 2006. "Cross-listing, price discovery and the informativeness of the trading process," Journal of Financial Markets, Elsevier, vol. 9(2), pages 144-161, May.
    17. Liu, Wai-Man & Sawyer, K. R., 2003. "How free are free trading options?," Pacific-Basin Finance Journal, Elsevier, vol. 11(5), pages 573-591, November.
    18. Jeremy Large, 2006. "A Market-Clearing Role for Inefficiency on a Limit Order Book," Economics Series Working Papers 2006-W08, University of Oxford, Department of Economics.
    19. Jie-Haun Lee & Whei-May Fan, 2014. "Investors’ perception of corporate governance: a spillover effect of Taiwan corporate scandals," Review of Quantitative Finance and Accounting, Springer, vol. 43(1), pages 97-119, July.
    20. Korn, Olaf & Möller, Philipp M. & Schwehm, Christian, 2019. "Drawdown measures: Are they all the same?," CFR Working Papers 19-04, University of Cologne, Centre for Financial Research (CFR).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2004.12848. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.