IDEAS home Printed from https://ideas.repec.org/p/hhs/nhhfms/2005_005.html
   My bibliography  Save this paper

A Note on a Barrier Exchange Option: The World’s Simplest Option Formula?

Author

Listed:
  • Lindset, Snorre

    (Dept. of Industrial Economics and Technology Management, Norwegian University of Science and Technology (NTNU))

  • Persson, Svein-Arne

    (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

Abstract

The paper analyzes a barrier exchange option that is knocked out the first time the two underlying assets have identical market values. Under rather general conditions regarding the price processes for the underlying assets, probably the world’s simplest option pricing formula is derived. It applies both to options of American and European type.

Suggested Citation

  • Lindset, Snorre & Persson, Svein-Arne, 2005. "A Note on a Barrier Exchange Option: The World’s Simplest Option Formula?," Discussion Papers 2005/5, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2005_005
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/11250/163592
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mark Broadie & Paul Glasserman & Steven Kou, 1997. "A Continuity Correction for Discrete Barrier Options," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 325-349, October.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    3. Fischer, Stanley, 1978. "Call Option Pricing when the Exercise Price Is Uncertain, and the Valuation of Index Bonds," Journal of Finance, American Finance Association, vol. 33(1), pages 169-176, March.
    4. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    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. Lindset, Snorre & Persson, Svein-Arne, 2008. "Continuous Monitoring: Look before You Leap," Discussion Papers 2008/8, Norwegian School of Economics, Department of Business and Management Science.
    2. Hansjörg Albrecher & Philipp Mayer, 2010. "Semi-Static Hedging Strategies For Exotic Options," World Scientific Book Chapters, in: Rüdiger Kiesel & Matthias Scherer & Rudi Zagst (ed.), Alternative Investments And Strategies, chapter 14, pages 345-373, World Scientific Publishing Co. Pte. Ltd..

    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. Lindset, Snorre & Persson, Svein-Arne, 2008. "Continuous Monitoring: Look before You Leap," Discussion Papers 2008/8, Norwegian School of Economics, Department of Business and Management Science.
    2. Xu, Guangli & Shao, Xinjian & Wang, Xingchun, 2019. "Analytical valuation of power exchange options with default risk," Finance Research Letters, Elsevier, vol. 28(C), pages 265-274.
    3. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
    4. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    5. Blenman, Lloyd P. & Clark, Steven P., 2005. "Power exchange options," Finance Research Letters, Elsevier, vol. 2(2), pages 97-106, June.
    6. Cole, John A. & Cadogan, Godfrey, 2014. "Bankruptcy risk induced by career concerns of regulators," Finance Research Letters, Elsevier, vol. 11(3), pages 259-271.
    7. Nadine Gatzert & Hato Schmeiser, 2011. "On the risk situation of financial conglomerates: does diversification matter?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 25(1), pages 3-26, March.
    8. Andrea Gamba & Alberto Micalizzi, 2007. "Product Development and Market Expansion: A Real Options Model," Financial Management, Financial Management Association International, vol. 36(1), pages 91-112, March.
    9. Peter-Jan Engelen, 2004. "Criminal Behavior: A Real Option Approach With an Application to Restricting Illegal Insider Trading," European Journal of Law and Economics, Springer, vol. 17(3), pages 329-352, May.
    10. Hato Schmeiser & Joël Wagner, 2013. "The Impact of Introducing Insurance Guaranty Schemes on Pricing and Capital Structure," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 273-308, June.
    11. Scholes, Myron S, 1998. "Derivatives in a Dynamic Environment," American Economic Review, American Economic Association, vol. 88(3), pages 350-370, June.
    12. Benninga, Simon & Björk, Tomas & Wiener, Zvi, 2002. "On the Use of Numeraires in Option pricing," SSE/EFI Working Paper Series in Economics and Finance 484, Stockholm School of Economics.
    13. Minqiang Li & Kyuseok Lee, 2011. "An adaptive successive over-relaxation method for computing the Black-Scholes implied volatility," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1245-1269.
    14. Brock Johnson & Jonathan Batten, 2003. "Forecasting Credit Spread Volatility: Evidence from the Japanese Eurobond Market," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 10(4), pages 335-357, December.
    15. Blenman, Lloyd P. & Ayadi, O. Felix, 1997. "Cross currency option pricing," Global Finance Journal, Elsevier, vol. 8(1), pages 159-166.
    16. Lloyd Blenman & Steven Clark, 2005. "Options with Constant Underlying Elasticity in Strikes," Review of Derivatives Research, Springer, vol. 8(2), pages 67-83, August.
    17. Joe Cheung & Charles Corrado & J. B. Chay & Do-Sub Jung, 2006. "Hurdle Rate: Executive Stock Options," Australian Journal of Management, Australian School of Business, vol. 31(1), pages 29-40, June.
    18. Song, Shiyu & Tang, Dan & Xu, Guangli & Yin, Xunbai, 2023. "An analytical GARCH valuation model for spread options with default risk," International Review of Economics & Finance, Elsevier, vol. 83(C), pages 1-20.
    19. Cossin, Didier & González, Fernando & Huang, Zhijiang & Backé, Peter, 2003. "A framework for collateral risk control determination," Working Paper Series 209, European Central Bank.
    20. Didier Cossin & Zhijiang Huang & Daniel Aunon-Nerin & Fer nando González, 2002. "A Framework for Collateral Risk Control Determination," FAME Research Paper Series rp61, International Center for Financial Asset Management and Engineering.

    More about this item

    Keywords

    Barrier Exchange Option; Option Pricing;

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    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:hhs:nhhfms:2005_005. 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: Stein Fossen (email available below). General contact details of provider: https://edirc.repec.org/data/dfnhhno.html .

    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.