IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-02265269.html
   My bibliography  Save this paper

The effect of trading futures on short sale constraints

Author

Listed:
  • Robert Jarrow

    (Cornell University [New York])

  • Philip Protter

    (Columbia University [New York])

  • Sergio Pulido

    (CMU - Carnegie Mellon University [Pittsburgh])

Abstract

It is commonly believed that the trading of futures on a commodity enables the market to overcome short selling constraints on the spot commodity itself. This belief is embedded in the notion that trading strategies involving futures contracts enable traders to replicate the payoffs as if they were short the spot commodity. The purpose of this paper is to investigate this common belief in a general arbitrage-free semimartingale financial model with trading in futures and a short selling prohibition on the spot commodity. We show via various examples that, in general, this common belief is incorrect. Furthermore, we provide a set of sufficient conditions, albeit very restrictive, under which the common belief is true.

Suggested Citation

  • Robert Jarrow & Philip Protter & Sergio Pulido, 2015. "The effect of trading futures on short sale constraints," Post-Print hal-02265269, HAL.
  • Handle: RePEc:hal:journl:hal-02265269
    DOI: 10.1111/mafi.12013
    Note: View the original document on HAL open archive server: https://hal.science/hal-02265269
    as

    Download full text from publisher

    File URL: https://hal.science/hal-02265269/document
    Download Restriction: no

    File URL: https://libkey.io/10.1111/mafi.12013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Napp, C., 2003. "The Dalang-Morton-Willinger theorem under cone constraints," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 111-126, February.
    2. Jouini Elyes & Kallal Hedi, 1995. "Martingales and Arbitrage in Securities Markets with Transaction Costs," Journal of Economic Theory, Elsevier, vol. 66(1), pages 178-197, June.
    3. Alessandro Beber & Marco Pagano, 2013. "Short-Selling Bans Around the World: Evidence from the 2007–09 Crisis," Journal of Finance, American Finance Association, vol. 68(1), pages 343-381, February.
    4. Joseph K. W. Fung & Paul Draper, 1999. "Mispricing of index futures contracts and short sales constraints," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(6), pages 695-715, September.
    5. Pham, Huyen & Touzi, Nizar, 1999. "The fundamental theorem of asset pricing with cone constraints," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 265-279, March.
    6. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    7. Alexander Cox & David Hobson, 2005. "Local martingales, bubbles and option prices," Finance and Stochastics, Springer, vol. 9(4), pages 477-492, October.
    8. Boulton, Thomas J. & Braga-Alves, Marcus V., 2010. "The skinny on the 2008 naked short-sale restrictions," Journal of Financial Markets, Elsevier, vol. 13(4), pages 397-421, November.
    9. Ioannis Karatzas & Constantinos Kardaras, 2007. "The numéraire portfolio in semimartingale financial models," Finance and Stochastics, Springer, vol. 11(4), pages 447-493, October.
    10. Arturo Bris & William N. Goetzmann & Ning Zhu, 2007. "Efficiency and the Bear: Short Sales and Markets Around the World," Journal of Finance, American Finance Association, vol. 62(3), pages 1029-1079, June.
    11. Kaushik I. Amin & Robert A. Jarrow, 1992. "Pricing Options On Risky Assets In A Stochastic Interest Rate Economy1," Mathematical Finance, Wiley Blackwell, vol. 2(4), pages 217-237, October.
    12. repec:dau:papers:123456789/5630 is not listed on IDEAS
    13. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    14. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    15. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short‐Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232, July.
    16. repec:dau:papers:123456789/5647 is not listed on IDEAS
    17. Robert A. Jarrow & Philip Protter, 2009. "Forward And Futures Prices With Bubbles," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 901-924.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Robert A. Jarrow, 2015. "Asset Price Bubbles," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 201-218, December.
    2. Jianqiang Hu & Tianxiang Wang & Wenwei Hu & Jun Tong, 2020. "The impact of trading restrictions and margin requirements on stock index futures," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(7), pages 1176-1191, July.
    3. Sergio Pulido, 2010. "The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions," Papers 1012.3102, arXiv.org, revised Jan 2014.
    4. Delia Coculescu & Monique Jeanblanc, 2019. "Some no-arbitrage rules under short-sales constraints, and applications to converging asset prices," Finance and Stochastics, Springer, vol. 23(2), pages 397-421, April.

    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. Fontana, Claudio & Runggaldier, Wolfgang J., 2021. "Arbitrage concepts under trading restrictions in discrete-time financial markets," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 66-80.
    2. Sergio Pulido, 2010. "The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions," Papers 1012.3102, arXiv.org, revised Jan 2014.
    3. Alet Roux, 2007. "The fundamental theorem of asset pricing under proportional transaction costs," Papers 0710.2758, arXiv.org.
    4. Claudio Fontana & Wolfgang J. Runggaldier, 2020. "Arbitrage concepts under trading restrictions in discrete-time financial markets," Papers 2006.15563, arXiv.org, revised Sep 2020.
    5. Delia Coculescu & Monique Jeanblanc, 2019. "Some no-arbitrage rules under short-sales constraints, and applications to converging asset prices," Finance and Stochastics, Springer, vol. 23(2), pages 397-421, April.
    6. Eom, Yunsung & Hahn, Jaehoon & Sohn, Wook, 2021. "Short sales restrictions and market quality: Evidence from Korea," Journal of Behavioral and Experimental Finance, Elsevier, vol. 30(C).
    7. Lensberg, Terje & Schenk-Hoppé, Klaus Reiner & Ladley, Dan, 2015. "Costs and benefits of financial regulation: Short-selling bans and transaction taxes," Journal of Banking & Finance, Elsevier, vol. 51(C), pages 103-118.
    8. 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.
    9. Bai, Min & Li, Xiao-Ming & Qin, Yafeng, 2017. "Shortability and asset pricing model: Evidence from the Hong Kong stock market," Journal of Banking & Finance, Elsevier, vol. 85(C), pages 15-29.
    10. repec:dau:papers:123456789/5374 is not listed on IDEAS
    11. Jouini, Elyes, 2001. "Arbitrage and control problems in finance: A presentation," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 167-183, April.
    12. M. Dempster & I. Evstigneev & M. Taksar, 2006. "Asset Pricing and Hedging in Financial Markets with Transaction Costs: An Approach Based on the Von Neumann–Gale Model," Annals of Finance, Springer, vol. 2(4), pages 327-355, October.
    13. Boulton, Thomas J. & Smart, Scott B. & Zutter, Chad J., 2020. "Worldwide short selling regulations and IPO underpricing," Journal of Corporate Finance, Elsevier, vol. 62(C).
    14. Bai, Min & Qin, Yafeng, 2015. "Short sales constraints and price adjustments to earnings announcements: Evidence from the Hong Kong market," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 304-315.
    15. Delia Coculescu & Monique Jeanblanc, 2017. "Some No-Arbitrage Rules For Converging Asset Prices under Short-Sales Constraints," Papers 1709.09252, arXiv.org.
    16. Jarrow, Robert & Protter, Philip, 2012. "Discrete versus continuous time models: Local martingales and singular processes in asset pricing theory," Finance Research Letters, Elsevier, vol. 9(2), pages 58-62.
    17. Jochen Wilhelm & Josef Schosser, 2007. "A note on arbitrage-free asset prices with and without personal income taxes," Review of Managerial Science, Springer, vol. 1(2), pages 133-149, August.
    18. Bessler, Wolfgang & Vendrasco, Marco, 2022. "Short-selling restrictions and financial stability in Europe: Evidence from the Covid-19 crisis," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 80(C).
    19. Van Le, 2016. "The effect of short-sale restrictions: another perspective," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 12(5), pages 700-714, October.
    20. Bessler, Wolfgang & Vendrasco, Marco, 2021. "The 2020 European short-selling ban and the effects on market quality," Finance Research Letters, Elsevier, vol. 42(C).
    21. Fotak, Veljko & Raman, Vikas & Yadav, Pradeep K., 2014. "Fails-to-deliver, short selling, and market quality," Journal of Financial Economics, Elsevier, vol. 114(3), pages 493-516.

    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:hal:journl:hal-02265269. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.