IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v19y2016icp279-290.html
   My bibliography  Save this article

Valuing resettable convertible bonds: Based on path decomposing

Author

Listed:
  • Feng, Yun
  • Huang, Bing-hua
  • Huang, Yu

Abstract

We price resettable convertible bonds (RCBs) whose embedded options contain conversion, call and put provisions and reset clause using complete path decomposition. The reset clause stipulates that the conversion price is adjusted downwards if the underlying stock price is lower than the conversion price by some pre-specified percentage. By assuming or identifying optimal strategies of RCBs’ issuers and investors, we completely decompose the value of RCBs into three parts: A sum of values of several path-dependent exotic options, the value of coupon payments, and the par value. Our method provides comprehensible insight of different provisions contained in RCBs.

Suggested Citation

  • Feng, Yun & Huang, Bing-hua & Huang, Yu, 2016. "Valuing resettable convertible bonds: Based on path decomposing," Finance Research Letters, Elsevier, vol. 19(C), pages 279-290.
  • Handle: RePEc:eee:finlet:v:19:y:2016:i:c:p:279-290
    DOI: 10.1016/j.frl.2016.09.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S154461231630157X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.frl.2016.09.002?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jonathan A. Batten & Karren Lee-Hwei Khaw & Martin R. Young, 2014. "Convertible Bond Pricing Models," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 775-803, December.
    2. Agarwal, Vikas & Fung, William H. & Loon, Yee Cheng & Naik, Narayan Y., 2011. "Risk and return in convertible arbitrage: Evidence from the convertible bond market," Journal of Empirical Finance, Elsevier, vol. 18(2), pages 175-194, March.
    3. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2008. "Simulation-based pricing of convertible bonds," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 310-331, March.
    4. 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..
    5. Lyandres, Evgeny & Zhdanov, Alexei, 2014. "Convertible debt and investment timing," Journal of Corporate Finance, Elsevier, vol. 24(C), pages 21-37.
    6. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    7. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2003. "Are convertible bonds underpriced? An analysis of the French market," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 635-653, April.
    8. Kimura, Toshikazu & Shinohara, Toshio, 2006. "Monte Carlo analysis of convertible bonds with reset clauses," European Journal of Operational Research, Elsevier, vol. 168(2), pages 301-310, January.
    9. Ka Wo Lau & Yue Kuen Kwok, 2004. "Anatomy of option features in convertible bonds," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(6), pages 513-532, June.
    10. McConnell, John J & Schwartz, Eduardo S, 1986. "LYON Taming," Journal of Finance, American Finance Association, vol. 41(3), pages 561-576, July.
    11. Finnerty, John D., 2015. "Valuing convertible bonds and the option to exchange bonds for stock," Journal of Corporate Finance, Elsevier, vol. 31(C), pages 91-115.
    12. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    13. Song-Ping Zhu & Jing Zhang, 2012. "How should a convertible bond be decomposed?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(2), pages 113-149, November.
    14. Qiu, Junfeng & Zhang, Yongli, 2013. "Convertible bonds with resettable conversion prices," Economic Modelling, Elsevier, vol. 31(C), pages 198-205.
    15. Brennan, M J & Schwartz, Eduardo S, 1977. "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion," Journal of Finance, American Finance Association, vol. 32(5), pages 1699-1715, December.
    16. Akihiko Takahashi & Takao Kobayashi & Naruhisa Nakagawa, 2001. "Pricing Convertible Bonds with Default Risk: A Duffie-Singleton Approach," CIRJE F-Series CIRJE-F-140, CIRJE, Faculty of Economics, University of Tokyo.
    17. Alex W. H. Chan & Nai-fu Chen, 2007. "Convertible Bond Underpricing: Renegotiable Covenants, Seasoning, and Convergence," Management Science, INFORMS, vol. 53(11), pages 1793-1814, November.
    18. Feng, Yun & Huang, Bing-hua & Young, Martin & Zhou, Qi-yuan, 2015. "Decomposing and valuing convertible bonds: A new method based on exotic options," Economic Modelling, Elsevier, vol. 47(C), pages 193-206.
    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. Jonathan A. Batten & Karren Lee-Hwei Khaw & Martin R. Young, 2014. "Convertible Bond Pricing Models," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 775-803, December.
    2. Feng, Yun & Huang, Bing-hua & Young, Martin & Zhou, Qi-yuan, 2015. "Decomposing and valuing convertible bonds: A new method based on exotic options," Economic Modelling, Elsevier, vol. 47(C), pages 193-206.
    3. Tian‐Shyr Dai & Chen‐Chiang Fan & Liang‐Chih Liu & Chuan‐Ju Wang & Jr‐Yan Wang, 2022. "A stochastic‐volatility equity‐price tree for pricing convertible bonds with endogenous firm values and default risks determined by the first‐passage default model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(12), pages 2103-2134, December.
    4. Yuriy Zabolotnyuk & Robert Jones & Chris Veld, 2010. "An Empirical Comparison of Convertible Bond Valuation Models," Financial Management, Financial Management Association International, vol. 39(2), pages 675-706, June.
    5. Alex W.H. Chan & Nai-fu Chen, 2006. "Convertible Bond Underpricing: Renegotiable Covenants, Seasoning and Convergence," CIRJE F-Series CIRJE-F-437, CIRJE, Faculty of Economics, University of Tokyo.
    6. Ling, Yu-Xiu & Xie, Chi & Wang, Gang-Jin, 2022. "Interconnectedness between convertible bonds and underlying stocks in the Chinese capital market: A multilayer network perspective," Emerging Markets Review, Elsevier, vol. 52(C).
    7. Alex W.H. Chan & Nai-fu Chen, 2006. "Convertible Bond Underpricing: Renegotiable Covenants, Seasoning and Convergence (Published in "Management Science", Vol. 53, No. 11, November 2007, pp. 1793.1814. )," CARF F-Series CARF-F-075, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    8. Finnerty, John D., 2015. "Valuing convertible bonds and the option to exchange bonds for stock," Journal of Corporate Finance, Elsevier, vol. 31(C), pages 91-115.
    9. Kim, Byung-June & Jang, Bong-Gyu, 2021. "Convertible bond valuation with regime switching," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    10. Xiaoyu Tan & Zili Zhang & Xuejun Zhao & Shuyi Wang, 2022. "DeepPricing: pricing convertible bonds based on financial time-series generative adversarial networks," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-38, December.
    11. Liwei Jin & Xianghui Yuan & Li Peiran & Hailun Xu & Feng Lian, 2023. "Option features and price discovery in convertible bonds," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(3), pages 384-403, March.
    12. Zura Kakushadze & Juan Andrés Serur, 2018. "151 Trading Strategies," Springer Books, Springer, number 978-3-030-02792-6, November.
    13. Barone-Adesi, Giovanni & Bermudez, Ana & Hatgioannides, John, 2003. "Two-factor convertible bonds valuation using the method of characteristics/finite elements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1801-1831, August.
    14. Xu, Ruxing, 2011. "A lattice approach for pricing convertible bond asset swaps with market risk and counterparty risk," Economic Modelling, Elsevier, vol. 28(5), pages 2143-2153, September.
    15. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2003. "Are convertible bonds underpriced? An analysis of the French market," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 635-653, April.
    16. Jensen, Mads Vestergaard & Pedersen, Lasse Heje, 2016. "Early option exercise: Never say never," Journal of Financial Economics, Elsevier, vol. 121(2), pages 278-299.
    17. Dutordoir, Marie & Lewis, Craig & Seward, James & Veld, Chris, 2014. "What we do and do not know about convertible bond financing," Journal of Corporate Finance, Elsevier, vol. 24(C), pages 3-20.
    18. Zhou, Qi-Yuan & Wu, Chong-Feng & Feng, Yun, 2007. "Decomposing and valuing callable convertible bonds: a new method based on exotic options," MPRA Paper 7421, University Library of Munich, Germany.
    19. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2008. "Simulation-based pricing of convertible bonds," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 310-331, March.
    20. Bruce D. Grundy & Patrick Verwijmeren, 2012. "Dividend-Protected Convertible Bonds and the Disappearance," Tinbergen Institute Discussion Papers 12-060/2/DSF37, Tinbergen Institute.

    More about this item

    Keywords

    Convertible bonds; Reset clause; Path decomposition;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:eee:finlet:v:19:y:2016:i:c:p:279-290. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    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.