IDEAS home Printed from https://ideas.repec.org/a/taf/apeclt/v1y1994i1p1-3.html
   My bibliography  Save this article

Pricing options on short-term interest rates using discrete arbitrage-free models

Author

Listed:
  • Mahendra Raj

Abstract

On June 23 1989, the Chicago Board of Options Exchange introduced a new option on short-term interest rate. These options were unique in that, unlike other interest rate dependent options, there were no assets like bonds underlying them. So, when these options are exercized, settlement delivery is in cash. These options opened new avenues for investors interested in hedging and speculating on interest rate movements. In the present study these short-term interest rate option markets are analysed utilizing recent developments on discrete interest rate stochastic processes. Of the various models developed to price interest contingent claims, Ho and Lee (1986) is especially important since these researchers use the entire term structure to derive relatively simple arbitrage based models. In this study these newly introduced options on interest rates are priced and empirically tested using the modified version of a Ho and Lee term structure model.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:apeclt:v:1:y:1994:i:1:p:1-3
    DOI: 10.1080/135048594358339
    as

    Download full text from publisher

    File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/135048594358339&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/135048594358339?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. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 419-440, December.
    2. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    3. Schaefer, Stephen M & Schwartz, Eduardo S, 1987. "Time-Dependent Variance and the Pricing of Bond Options," Journal of Finance, American Finance Association, vol. 42(5), pages 1113-1128, December.
    4. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    5. Robert R. Bliss & Ehud I. Ronn, 1989. "Arbitrage‐Based Estimation of Nonstationary Shifts in the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 44(3), pages 591-610, July.
    6. 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.
    7. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    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. Sercu, P., 1991. "Bond options and bond portfolio insurance," Insurance: Mathematics and Economics, Elsevier, vol. 10(3), pages 203-230, December.
    2. 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.
    3. Boero, G. & Torricelli, C., 1996. "A comparative evaluation of alternative models of the term structure of interest rates," European Journal of Operational Research, Elsevier, vol. 93(1), pages 205-223, August.
    4. 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.
    5. repec:dau:papers:123456789/5374 is not listed on IDEAS
    6. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742, Decembrie.
    7. Das, Sanjiv Ranjan, 1998. "A direct discrete-time approach to Poisson-Gaussian bond option pricing in the Heath-Jarrow-Morton model," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 333-369, November.
    8. Fergusson, Kevin, 2020. "Less-Expensive Valuation And Reserving Of Long-Dated Variable Annuities When Interest Rates And Mortality Rates Are Stochastic," ASTIN Bulletin, Cambridge University Press, vol. 50(2), pages 381-417, May.
    9. repec:uts:finphd:40 is not listed on IDEAS
    10. Patrick Hagan & Diana Woodward, 1999. "Markov interest rate models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(4), pages 233-260.
    11. Oldrich Alfons Vasicek & Francisco Venegas-Martínez, 2021. "Models of the Term Structure of Interest Rates: Review, Trends, and Perspectives," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 16(2), pages 1-28, Abril - J.
    12. Klaassen, Pieter, 1997. "Discretized reality and spurious profits in stochastic programming models for asset/liability management," Serie Research Memoranda 0011, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    13. Wilhelm, Jochen, 2000. "Das Gaußsche Zinsstrukturmodell: Eine Analyse auf der Basis von Wahrscheinlichkeitsverteilungen," Passauer Diskussionspapiere, Betriebswirtschaftliche Reihe 6, University of Passau, Faculty of Business and Economics.
    14. Sanjiv Ranjan Das, 1997. "An Efficient Generalized Discrete-Time Approach to Poisson-Gaussian Bond Option Pricing in the Heath-Jarrow-Morton Model," NBER Technical Working Papers 0212, National Bureau of Economic Research, Inc.
    15. Anna Rita Bacinello & Fulvio Ortu, 1999. "Arbitrage valuation and bounds for sinking-fund bonds with multiple sinking-fund dates," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(4), pages 293-312.
    16. Abaffy, Jozsef & Bertocchi, Marida & Gnudi, Adriana, 2005. "Extensions of the Ho and Lee interest-rate model to the multinomial case," European Journal of Operational Research, Elsevier, vol. 163(1), pages 154-169, May.
    17. Stoyan Valchev, 2004. "Stochastic volatility Gaussian Heath-Jarrow-Morton models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 11(4), pages 347-368.
    18. Kevin John Fergusson, 2018. "Less-Expensive Pricing and Hedging of Extreme-Maturity Interest Rate Derivatives and Equity Index Options Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2018.
    19. Oldrich Alfons Vasicek & Francisco Venegas-Martínez, 2021. "Modelos de la estructura de plazos de las tasas de interés: Revisión, tendencias y perspectivas," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 16(2), pages 1-28, Abril - J.
    20. I‐Doun Kuo & Yueh‐Neng Lin, 2009. "Empirical performance of multifactor term structure models for pricing and hedging Eurodollar futures options," Review of Financial Economics, John Wiley & Sons, vol. 18(1), pages 23-32, January.
    21. Klaassen, Pieter, 1997. "Solving stochastic programming models for asset/liability management using iterative disaggregation," Serie Research Memoranda 0010, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    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:taf:apeclt:v:1:y:1994:i:1:p:1-3. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEL20 .

    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.