IDEAS home Printed from https://ideas.repec.org/a/kap/apfinm/v5y1998i2p129-158.html
   My bibliography  Save this article

The Pricing Formula for Commodity-Linked Bonds with Stochastic Convenience Yields and Default Risk

Author

Listed:
  • Ryozo Miura
  • Hiroaki Yamauchi

Abstract

At the maturity, the owner of a commodity-linked bond has the right to receive the face value of the bond and the excess amount of spot market value of the reference commodity bundle over the prespecified exercise price. This payoff structure is an important characteristic of the commodity-linked bonds. In this paper, we derive closed pricing formulae for the commodity-linked bonds. We assume that the reference commodity price and the value of the firm (bonds' issuer) follow geometric Brownian motions and that the net marginal convenience yield and interest rate follow Ornstein–Uhlenbech processes. In the appendix, we derive pricing formulae for bonds which are the same as the above commodity-linked bonds, except that the reference commodity price in the definition of the payoff at the maturity is replaced by the value of a special asset which depends on the convenience yield. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • Ryozo Miura & Hiroaki Yamauchi, 1998. "The Pricing Formula for Commodity-Linked Bonds with Stochastic Convenience Yields and Default Risk," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 5(2), pages 129-158, May.
    • Handle: RePEc:kap:apfinm:v:5:y:1998:i:2:p:129-158
    DOI: 10.1023/A:1010034115552
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1010034115552
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1010034115552?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. Carr, Peter, 1987. "A Note on the Pricing of Commodity-Linked Bonds," Journal of Finance, American Finance Association, vol. 42(4), pages 1071-1076, September.
    2. Nicholas Kaldor, 1939. "Speculation and Economic Stability," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 7(1), pages 1-27.
    3. Schwartz, Eduardo S, 1982. "The Pricing of Commodity-Linked Bonds," Journal of Finance, American Finance Association, vol. 37(2), pages 525-539, May.
    4. Gibson, Rajna & Schwartz, Eduardo S, 1990. "Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
    5. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    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. Samuel Malone, 2005. "Managing Default Risk for Commodity Dependent Countries: Price Hedging in an Optimizing Model," Economics Series Working Papers 246, University of Oxford, Department of Economics.
    2. Turvey, Calum G. & Chantarat, Sommarat, 2006. "Weather-Linked Bonds," 2006 Agricultural and Rural Finance Markets in Transition, October 2-3, 2006, Washington, DC 133091, Regional Research Committee NC-1014: Agricultural and Rural Finance Markets in Transition.
    3. Joseph Atta-Mensah, 2004. "Commodity-Linked Bonds: A Potential Means for Less-Developed Countries to Raise Foreign Capital," Staff Working Papers 04-20, Bank of Canada.

    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. Turvey, Calum G. & Chantarat, Sommarat, 2006. "Weather-Linked Bonds," 2006 Agricultural and Rural Finance Markets in Transition, October 2-3, 2006, Washington, DC 133091, Regional Research Committee NC-1014: Agricultural and Rural Finance Markets in Transition.
    2. Zonggang Ma & Chaoqun Ma & Zhijian Wu, 2022. "Pricing commodity-linked bonds with stochastic convenience yield, interest rate and counterparty credit risk: application of Mellin transform methods," Review of Derivatives Research, Springer, vol. 25(1), pages 47-91, April.
    3. Calum G. Turvey, 2006. "Managing food industry business and financial risks with commodity-linked credit instruments," Agribusiness, John Wiley & Sons, Ltd., vol. 22(4), pages 523-545.
    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. Max F. Schöne & Stefan Spinler, 2017. "A four-factor stochastic volatility model of commodity prices," Review of Derivatives Research, Springer, vol. 20(2), pages 135-165, July.
    6. Richter, Martin & Sørensen, Carsten, 2002. "Stochastic Volatility and Seasonality in Commodity Futures and Options: The Case of Soybeans," Working Papers 2002-4, Copenhagen Business School, Department of Finance.
    7. Loïc Maréchal, 2023. "A tale of two premiums revisited," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(5), pages 580-614, May.
    8. Feng, Ling & Wang, Jieyu, 2023. "Random sources correlations and carbon futures pricing," International Review of Financial Analysis, Elsevier, vol. 86(C).
    9. Anh Ngoc Lai & Constantin Mellios, 2016. "Valuation of commodity derivatives with an unobservable convenience yield," Post-Print halshs-01183166, HAL.
    10. K. F. Pilz & E. Schlögl, 2013. "A hybrid commodity and interest rate market model," Quantitative Finance, Taylor & Francis Journals, vol. 13(4), pages 543-560, March.
    11. Back, Janis & Prokopczuk, Marcel & Rudolf, Markus, 2013. "Seasonality and the valuation of commodity options," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 273-290.
    12. P. Karlsson & K. F. Pilz & E. Schlögl, 2017. "Calibrating a market model with stochastic volatility to commodity and interest rate risk," Quantitative Finance, Taylor & Francis Journals, vol. 17(6), pages 907-925, June.
    13. repec:dau:papers:123456789/6782 is not listed on IDEAS
    14. Secomandi, Nicola & Seppi, Duane J., 2014. "Real Options and Merchant Operations of Energy and Other Commodities," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 6(3-4), pages 161-331, July.
    15. Svetlana Borovkova & Helyette Geman, 2006. "Seasonal and stochastic effects in commodity forward curves," Review of Derivatives Research, Springer, vol. 9(2), pages 167-186, September.
    16. Paschke, Raphael & Prokopczuk, Marcel, 2010. "Commodity derivatives valuation with autoregressive and moving average components in the price dynamics," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2742-2752, November.
    17. Chiarella, Carl & Kang, Boda & Nikitopoulos, Christina Sklibosios & Tô, Thuy-Duong, 2013. "Humps in the volatility structure of the crude oil futures market: New evidence," Energy Economics, Elsevier, vol. 40(C), pages 989-1000.
    18. Guillermo Llorente & Jiang Wang, 2020. "Trading and information in futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(8), pages 1231-1263, August.
    19. Martin T. Bohl & Alexander Pütz & Pierre L. Siklos & Christoph Sulewski, 2018. "Information Transmission under Increasing Political Tension – Evidence for the Berlin Produce Exchange 1887-1896," CQE Working Papers 7618, Center for Quantitative Economics (CQE), University of Muenster.
    20. Björn Lutz, 2010. "Pricing of Derivatives on Mean-Reverting Assets," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-02909-7, July.
    21. Jason West, 2012. "Convenience Yields in Bulk Commodities: The Case of Thermal Coal," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 6(4), pages 33-44.

    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:kap:apfinm:v:5:y:1998:i:2:p:129-158. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.