IDEAS home Printed from https://ideas.repec.org/a/hin/complx/2825483.html
   My bibliography  Save this article

Valuation on an Outside-Reset Option with Multiple Resettable Levels and Dates

Author

Listed:
  • Guangming Xue
  • Bin Qin
  • Guohe Deng

Abstract

This paper studies an outside-reset option with multiple strike resets and reset dates, in which the strike price is adjusted by an external process associated with the underlying risky asset. We obtain analytical pricing formula for this option and the hedging parameters Delta and Gamma. Furthermore, some numerical examples are provided to analyze some characteristics of the outside-reset option and to examine the impacts of the external parameters on option prices and Greeks. These results show that the external process can significantly affect option prices and Greeks.

Suggested Citation

  • Guangming Xue & Bin Qin & Guohe Deng, 2018. "Valuation on an Outside-Reset Option with Multiple Resettable Levels and Dates," Complexity, Hindawi, vol. 2018, pages 1-13, April.
  • Handle: RePEc:hin:complx:2825483
    DOI: 10.1155/2018/2825483
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2018/2825483.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/8503/2018/2825483.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2018/2825483?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
    ---><---

    References listed on IDEAS

    as
    1. Min Dai & Yue Kuen Kwok & Lixin Wu, 2004. "Optimal Shouting Policies Of Options With Strike Reset Right," Mathematical Finance, Wiley Blackwell, vol. 14(3), pages 383-401, July.
    2. L. Paul Hsueh & Y. Angela Liu, 2002. "Step‐reset options: Design and valuation," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 22(2), pages 155-171, February.
    3. François-Heude, Alain & Yousfi, Ouidad, 2013. "A Generalization of Gray and Whaley's Option," MPRA Paper 47908, University Library of Munich, Germany, revised 30 Jun 2013.
    4. Tian-Shyr Dai & Yuh-Yuan Fang & Yuh-Dauh Lyuu, 2005. "Analytics for geometric average trigger reset options," Applied Economics Letters, Taylor & Francis Journals, vol. 12(13), pages 835-840.
    5. Eric C. K. Yu & William T. Shaw, 2008. "On The Valuation Of Derivatives With Snapshot Reset Features," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(08), pages 905-941.
    6. Chuang-Chang Chang & San-Lin Chung & Mark Shackleton, 2004. "Pricing options with American-style average reset features," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 292-300.
    7. Yue-Kuen Kwok & Lixin Wu & Hong Yu, 1998. "Pricing Multi-Asset Options with an External Barrier," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 1(04), pages 523-541.
    8. Massimo Costabile & Ivar Massabo & Emilio Russo, 2010. "A binomial model for pricing US-style average options with reset features," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 1(3), pages 258-273.
    9. Dai, Min & Kwok, Yue Kuen, 2005. "Options with combined reset rights on strike and maturity," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1495-1515, September.
    10. Stephen F. Gray & Robert E. Whaley, 1999. "Reset Put Options: Valuation, Risk Characteristics, and an Application," Australian Journal of Management, Australian School of Business, vol. 24(1), pages 1-20, June.
    11. Min Dai & Yue Kuen Kwok & Li Xin Wu, 2003. "Options with Multiple Reset Rights," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(06), pages 637-653.
    12. Li, Shu Jin & Li, Sheng Hong & Sun, Chao, 2007. "A generalization of reset options pricing formulae with stochastic interest rates," Research in International Business and Finance, Elsevier, vol. 21(2), pages 119-133, June.
    13. Alain François-Heude & Ouidad Yousfi, 2015. "A generalization of Gray and Whaley’s reset option," Post-Print hal-02009823, HAL.
    14. Yu-Hong Liu & I-Ming Jiang & Shih-Cheng Lee & Yu-Ting Chen, 2011. "The Valuation Of Reset Options When Underlying Assets Are Autocorrelated," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 5(2), pages 95-114.
    15. Chih‐Hao Kao & Yuh‐Dauh Lyuu, 2003. "Pricing of moving‐average‐type options with applications," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(5), pages 415-440, May.
    16. Phelim Boyle & Adam Kolkiewicz & Ken Seng Tan, 2001. "Valuation of the Reset Options Embedded in Some Equity-Linked Insurance Products," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(3), pages 1-18.
    17. Phelim Boyle & Yongzeng Lai & Ken Seng Tan, 2005. "Pricing Options Using Lattice Rules," North American Actuarial Journal, Taylor & Francis Journals, vol. 9(3), pages 50-76.
    18. Szu‐Lang Liao & Chou‐Wen Wang, 2003. "The valuation of reset options with multiple strike resets and reset dates," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(1), pages 87-107, January.
    Full references (including those not matched with items on IDEAS)

    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. Yang, Jingyang & Choi, Yoon & Li, Shenghong & Yu, Jinping, 2010. "A note on "Monte Carlo analysis of convertible bonds with reset clause"," European Journal of Operational Research, Elsevier, vol. 200(3), pages 924-925, February.
    2. Dai, Min & Kwok, Yue Kuen, 2008. "Optimal multiple stopping models of reload options and shout options," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2269-2290, July.
    3. François-Heude, Alain & Yousfi, Ouidad, 2013. "On the liquidity of CAC 40 index options Market," MPRA Paper 47921, University Library of Munich, Germany, revised 01 Jul 2013.
    4. Chun-Ying Chen & Hsiao-Chuan Wang & Jr-Yan Wang, 2015. "The valuation of forward-start rainbow options," Review of Derivatives Research, Springer, vol. 18(2), pages 145-188, July.
    5. Yu-Hong Liu & I-Ming Jiang & Shih-Cheng Lee & Yu-Ting Chen, 2011. "The Valuation Of Reset Options When Underlying Assets Are Autocorrelated," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 5(2), pages 95-114.
    6. Nazym Azimbayev & Yerkin Kitapbayev, 2021. "On the valuation of multiple reset options: integral equation approach," Papers 2109.09302, arXiv.org.
    7. Dai, Min & Kwok, Yue Kuen, 2005. "Options with combined reset rights on strike and maturity," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1495-1515, September.
    8. Hoque, Ariful & Le, Thi & Hasan, Morshadul & Abedin, Mohammad Zoynul, 2024. "Does market efficiency matter for Shanghai 50 ETF index options?," Research in International Business and Finance, Elsevier, vol. 67(PB).
    9. Pierre L’Ecuyer, 2009. "Quasi-Monte Carlo methods with applications in finance," Finance and Stochastics, Springer, vol. 13(3), pages 307-349, September.
    10. Goudenège, Ludovic & Molent, Andrea & Zanette, Antonino, 2022. "Moving average options: Machine learning and Gauss-Hermite quadrature for a double non-Markovian problem," European Journal of Operational Research, Elsevier, vol. 303(2), pages 958-974.
    11. Tian-Shyr Dai & Yuh-Yuan Fang & Yuh-Dauh Lyuu, 2005. "Analytics for geometric average trigger reset options," Applied Economics Letters, Taylor & Francis Journals, vol. 12(13), pages 835-840.
    12. Yang, Nian & Chen, Nan & Liu, Yanchu & Wan, Xiangwei, 2017. "Approximate arbitrage-free option pricing under the SABR model," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 198-214.
    13. Kim, Jerim & Kim, Jeongsim & Joo Yoo, Hyun & Kim, Bara, 2015. "Pricing external barrier options in a regime-switching model," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 123-143.
    14. Ludovic Gouden`ege & Andrea Molent & Antonino Zanette, 2021. "Moving average options: Machine Learning and Gauss-Hermite quadrature for a double non-Markovian problem," Papers 2108.11141, arXiv.org.
    15. Kevin Fergusson & Eckhard Platen, 2013. "Real World Pricing of Long Term Cash-Linked Annuities and Equity-Linked Annuities with Cash-Linked Guarantees," Research Paper Series 338, Quantitative Finance Research Centre, University of Technology, Sydney.
    16. Konstandatos, Otto, 2020. "Fair-value analytical valuation of reset executive stock options consistent with IFRS9 requirements," Annals of Actuarial Science, Cambridge University Press, vol. 14(1), pages 188-218, March.
    17. Ling Lu & Wei Xu & Zhehui Qian, 2017. "Efficient willow tree method for European-style and American-style moving average barrier options pricing," Quantitative Finance, Taylor & Francis Journals, vol. 17(6), pages 889-906, June.
    18. Donghyun Kim & Ji-Hun Yoon, 2023. "Analytic Method for Pricing Vulnerable External Barrier Options," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1561-1591, April.
    19. Zhang, Ling & Lai, Yongzeng & Zhang, Shuhua & Li, Lin, 2019. "Efficient control variate methods with applications to exotic options pricing under subordinated Brownian motion models," The North American Journal of Economics and Finance, Elsevier, vol. 47(C), pages 602-621.
    20. François-Heude, Alain & Yousfi, Ouidad, 2013. "A Generalization of Gray and Whaley's Option," MPRA Paper 47908, University Library of Munich, Germany, revised 30 Jun 2013.

    More about this item

    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:hin:complx:2825483. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.