IDEAS home Printed from https://ideas.repec.org/a/cup/jfinqa/v18y1983i04p517-531_02.html
   My bibliography  Save this article

Bond Price Dynamics and Options

Author

Listed:
  • Ball, Clifford A.
  • Torous, Walter N.

Abstract

This paper provides a closed-form, preference-free means of valuing a European call option written on a default-free pure discount bond. Investors may not agree upon a theory of the term structure, but they will necessarily agree on equilibrium option values. Further, these equilibrium option values may be obtained without recourse to numerical approximation.Default-free pure discount bond prices were posited to follow a non-standardized transformed Brownian bridge process. This specification implicitly incorporates the terminal constraint that the price of a default-free pure discount bond equal its face value at maturity.Contingent claim valuation necessarily involves consideration of terminal constraints on the value of financial securities. The Brownian bridge specification permits an appropriate means of incorporating a number of such constraints. Therefore, while this paper has considered only the application of the Brownian bridge process to the valuation of debt options, the introduction of this process may provide for many further financial applications.

Suggested Citation

  • Ball, Clifford A. & Torous, Walter N., 1983. "Bond Price Dynamics and Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(4), pages 517-531, December.
    • Handle: RePEc:cup:jfinqa:v:18:y:1983:i:04:p:517-531_02
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0022109000020263/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Neto, Cícero Augusto Vieira & Pereira, Pedro L. Valls, 2001. "Review of major results of Martingale theory applied to the valuation of contingent claims," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 21(2), November.
    2. Vorst, A. C. F., 1988. "Option Pricing And Stochastic Processes," Econometric Institute Archives 272366, Erasmus University Rotterdam.
    3. Jun Liu, 2004. "Losing Money on Arbitrage: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 611-641.
    4. K. Nawalkha, Sanjay, 1995. "Face value convergence for stochastic bond price processes: a note on Merton's partial equilibrium option pricing model," Journal of Banking & Finance, Elsevier, vol. 19(1), pages 153-164, April.
    5. Tang, Kin-Boon & Zheng, Wen-Jie & Lin, Chao-Yang & Lin, Shih-Kuei, 2021. "Valuation of callable accreting interest rate swaps: Least squares Monte-Carlo method under Hull-White interest rate model," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).
    6. Hélyette Geman & Dilip B. Madan & Marc Yor, 2007. "Probing Option Prices for Information," Methodology and Computing in Applied Probability, Springer, vol. 9(1), pages 115-131, March.
    7. Shane Miller, 2007. "Pricing of Contingent Claims Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2007, January-A.
    8. O'Callaghan, Patrick, 2017. "Axioms for Measuring without mixing apples and Oranges," MPRA Paper 81196, University Library of Munich, Germany.
    9. Gibson, Rajna & Lhabitant, Francois-Serge & Talay, Denis, 2010. "Modeling the Term Structure of Interest Rates: A Review of the Literature," Foundations and Trends(R) in Finance, now publishers, vol. 5(1–2), pages 1-156, December.
    10. Marek Rutkowski, 1999. "Models of forward Libor and swap rates," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(1), pages 29-60.
    11. Sercu, P., 1991. "Bond options and bond portfolio insurance," Insurance: Mathematics and Economics, Elsevier, vol. 10(3), pages 203-230, December.
    12. repec:dau:papers:123456789/5374 is not listed on IDEAS
    13. Shane Miller, 2007. "Pricing of Contingent Claims Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 25, July-Dece.
    14. Claudio Fontana & Wolfgang J. Runggaldier, 2012. "Diffusion-based models for financial markets without martingale measures," Papers 1209.4449, arXiv.org, revised Feb 2013.
    15. Mahendra Raj, 1994. "Pricing options on short-term interest rates using discrete arbitrage-free models," Applied Economics Letters, Taylor & Francis Journals, vol. 1(1), pages 1-3.
    16. Kovacevic, Raimund M. & Paraschiv, Florentina, 2012. "Medium-term Planning for Thermal Electricity Production," Working Papers on Finance 1220, University of St. Gallen, School of Finance.
    17. Stephen A. Buser & Patric H. Hendershott & Anthony B. Sanders, 1988. "On the Determinants of the Value of Call Options on Default-Free Bonds," NBER Working Papers 2529, National Bureau of Economic Research, Inc.
    18. Ding, Kailin & Ning, Ning, 2021. "Markov chain approximation and measure change for time-inhomogeneous stochastic processes," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    19. R. Mansuy, 2004. "On a One-Parameter Generalization of the Brownian Bridge and Associated Quadratic Functionals," Journal of Theoretical Probability, Springer, vol. 17(4), pages 1021-1029, October.
    20. 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.
    21. Manas, Arnaud & Daniel, Laurent, 2007. "Pricing the implicit contracts in the Paris Club debt buybacks," MPRA Paper 13123, University Library of Munich, Germany.
    22. Ioannides, Michalis, 2003. "A comparison of yield curve estimation techniques using UK data," Journal of Banking & Finance, Elsevier, vol. 27(1), pages 1-26, January.

    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:cup:jfinqa:v:18:y:1983:i:04:p:517-531_02. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/jfq .

    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.