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Closed-form solutions for options with random initiation under asset price monitoring

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  • Jun, Doobae
  • Ku, Hyejin

Abstract

This paper studies derivatives to prepare for financial risk from unexpected events. It is difficult for firms and financial institutions to hedge losses triggered by natural catastrophes such as earthquakes, by using derivative securities with fixed initiation and maturities. In this context, we consider an option that is initiated at random by an unexpected event, and moreover, is connected with a barrier of knock-in or knock-out type for asset price monitoring until the time of event. We derive closed-form valuation formulas for these options.

Suggested Citation

  • Jun, Doobae & Ku, Hyejin, 2017. "Closed-form solutions for options with random initiation under asset price monitoring," Finance Research Letters, Elsevier, vol. 20(C), pages 68-74.
    • Handle: RePEc:eee:finlet:v:20:y:2017:i:c:p:68-74
    DOI: 10.1016/j.frl.2016.09.009
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    References listed on IDEAS

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    1. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    2. Jaimungal, Sebastian & Wang, Tao, 2006. "Catastrophe options with stochastic interest rates and compound Poisson losses," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 469-483, June.
    3. Jarrow, Robert A., 2010. "A simple robust model for Cat bond valuation," Finance Research Letters, Elsevier, vol. 7(2), pages 72-79, June.
    4. Goldman, M Barry & Sosin, Howard B & Gatto, Mary Ann, 1979. "Path Dependent Options: "Buy at the Low, Sell at the High"," Journal of Finance, American Finance Association, vol. 34(5), pages 1111-1127, December.
    5. Jiang, I-Ming & Yang, Sheng-Yung & Liu, Yu-Hong & Wang, Alan T., 2013. "Valuation of double trigger catastrophe options with counterparty risk," The North American Journal of Economics and Finance, Elsevier, vol. 25(C), pages 226-242.
    6. Cho H. Hui, 1997. "Time‐dependent barrier option values," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 17(6), pages 667-688, September.
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    More about this item

    Keywords

    Option pricing; Random initiation; Barrier; Asset monitoring;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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