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A note on a barrier exchange option: The world's simplest option formula?

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  • Lindset, Snorre
  • Persson, Svein-Arne

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.
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Suggested Citation

  • Lindset, Snorre & Persson, Svein-Arne, 2006. "A note on a barrier exchange option: The world's simplest option formula?," Finance Research Letters, Elsevier, vol. 3(3), pages 207-211, September.
    • Handle: RePEc:eee:finlet:v:3:y:2006:i:3:p:207-211
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
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    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..

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    JEL classification:

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

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