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Complete markets with discontinuous security price

Author

Listed:
  • Philip Protter

    (Departments of Mathematics and Statistics, Purdue University, 1395 Mathematical Sciences Building, West Lafayette, IN 47907, USA Manuscript)

  • Michael Dritschel

    (Demartment of Statistics, Purdue University, West Lafayette, IN 47907, USA)

Abstract

A parameterized family of financial market models is presented. These models have jumps intrinsic to the price processes yet have strict completeness, equivalent martingale measures, and no arbitrage. For each value of the parameter $\beta (-2\leq\beta

Suggested Citation

  • Philip Protter & Michael Dritschel, 1999. "Complete markets with discontinuous security price," Finance and Stochastics, Springer, vol. 3(2), pages 203-214.
    • Handle: RePEc:spr:finsto:v:3:y:1999:i:2:p:203-214
    Note: received: April 1997; final version received: March 1998
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    Citations

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    Cited by:

    1. Zura Kakushadze, 2016. "Volatility Smile as Relativistic Effect," Papers 1610.02456, arXiv.org, revised Feb 2017.
    2. Thorsten Rheinländer & Jenny Sexton, 2011. "Hedging Derivatives," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8062, January.
    3. Youssef El-Khatib & Abdulnasser Hatemi-J, 2013. "On option pricing in illiquid markets with jumps," Papers 1304.4690, arXiv.org.
    4. Umut Çetin & Robert Jarrow & Philip Protter & Yildiray Yildirim, 2008. "Modeling Credit Risk With Partial Information," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 23, pages 579-590, World Scientific Publishing Co. Pte. Ltd..
    5. Dieckmann, Stephan & Gallmeyer, Michael, 2013. "Rare event risk and emerging market debt with heterogeneous beliefs," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 163-187.
    6. Wing Yan Yip & Sofia Olhede & David Stephens, 2008. "Hedging strategies and minimal variance portfolios for European and exotic options in a Levy market," Papers 0801.4941, arXiv.org, revised Oct 2008.
    7. Protter, Philip, 2001. "A partial introduction to financial asset pricing theory," Stochastic Processes and their Applications, Elsevier, vol. 91(2), pages 169-203, February.
    8. Oblój, Jan & Yor, Marc, 2004. "An explicit Skorokhod embedding for the age of Brownian excursions and Azéma martingale," Stochastic Processes and their Applications, Elsevier, vol. 110(1), pages 83-110, March.
    9. Kakushadze, Zura, 2017. "Volatility smile as relativistic effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 59-76.
    10. Yip, Wing & Stephens, David & Olhede, Sofia, 2008. "Hedging strategies and minimal variance portfolios for European and exotic options in a Levy market," MPRA Paper 11176, University Library of Munich, Germany.

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