IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-07g00086.html
   My bibliography  Save this article

Continuous Time Models of Interest Rate: Testing the Mexican Data (1998-2006)

Author

Listed:
  • Jose Luis de la Cruz

    (Tecnologico de Monterrey, Campus Estado de Mexico)

  • Elizabeth Ortega

    (Tecnologico de Montrrrey, Campus Ciudad de Mexico)

Abstract

Distinct parametric models in continuous time for the interest rates are tested by means of a comparative analysis of the implied parametric and nonparametric densities. In this research the statistic developed by Ait-Sahalia (1996a) has been applied to the Mexican CETES (28 days) interest rate in the period 1998-2006. With this technique, the discrete approximation to the continuous model is unnecessary even when the data are discrete. The results allow to affirm that the models of interest rate shown in this paper are unable to describe the data of the Mexican CETES.

Suggested Citation

  • Jose Luis de la Cruz & Elizabeth Ortega, 2007. "Continuous Time Models of Interest Rate: Testing the Mexican Data (1998-2006)," Economics Bulletin, AccessEcon, vol. 7(11), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-07g00086
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2007/Volume7/EB-07G00086A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Courtadon, Georges, 1982. "The Pricing of Options on Default-Free Bonds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(1), pages 75-100, March.
    2. Chan, K C, et al, 1992. "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
    3. Jiang, George J., 1998. "Nonparametric Modeling of U.S. Interest Rate Term Structure Dynamics and Implications on the Prices of Derivative Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(4), pages 465-497, December.
    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. José Antonio Núñez. & Elizabeth Ortega., 2011. "Continuous Time Models of Interest Rate: Testing Peso-Dollar Exchange Rate," Economía: teoría y práctica, Universidad Autónoma Metropolitana, México, vol. 34(1), pages 43-63, Enero-Jun.

    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. repec:ebl:ecbull:v:7:y:2007:i:11:p:1-9 is not listed on IDEAS
    2. Dennis Kristensen, 2004. "A Semiparametric Single-Factor Model of the Term Structure," FMG Discussion Papers dp501, Financial Markets Group.
    3. José Antonio Núñez. & Elizabeth Ortega., 2011. "Continuous Time Models of Interest Rate: Testing Peso-Dollar Exchange Rate," Economía: teoría y práctica, Universidad Autónoma Metropolitana, México, vol. 34(1), pages 43-63, Enero-Jun.
    4. Nowman, K. Ben & Sorwar, Ghulam, 2005. "Derivative prices from interest rate models: results for Canada, Hong Kong, and United States," International Review of Financial Analysis, Elsevier, vol. 14(4), pages 428-438.
    5. Bu, Ruijun & Cheng, Jie & Hadri, Kaddour, 2016. "Reducible diffusions with time-varying transformations with application to short-term interest rates," Economic Modelling, Elsevier, vol. 52(PA), pages 266-277.
    6. Spiros H. Martzoukos & Theodore M. Barnhill Jr., 1998. "The Survival Zone For A Bond With Both Call And Put Options Embedded," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 21(4), pages 419-430, December.
    7. Tse, Y.K., 1995. "Interest rate models and option pricing: A sensitivity analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(3), pages 431-436.
    8. Antonio Mele, 2003. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 679-716, July.
    9. 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.
    10. Renò, Roberto, 2008. "Nonparametric Estimation Of The Diffusion Coefficient Of Stochastic Volatility Models," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1174-1206, October.
    11. Ait-Sahalia, Yacine, 1996. "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, Econometric Society, vol. 64(3), pages 527-560, May.
    12. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    13. Gómez-Valle, Lourdes & Marti­nez-Rodri­guez, Julia, 2008. "Modelling the term structure of interest rates: An efficient nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 32(4), pages 614-623, April.
    14. Lourdes Gómez-Valle & Julia Martínez-Rodríguez, 2010. "Improving the term structure of interest rates: two-factor models," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 15(3), pages 275-287.
    15. 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.
    16. Cai, Lili & Swanson, Norman R., 2011. "In- and out-of-sample specification analysis of spot rate models: Further evidence for the period 1982-2008," Journal of Empirical Finance, Elsevier, vol. 18(4), pages 743-764, September.
    17. Al-Zoubi, Haitham A., 2009. "Short-term spot rate models with nonparametric deterministic drift," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(3), pages 731-747, August.
    18. Muteba Mwamba, John & Thabo, Lethaba & Uwilingiye, Josine, 2014. "Modelling the short-term interest rate with stochastic differential equation in continuous time: linear and nonlinear models," MPRA Paper 64386, University Library of Munich, Germany.
    19. Beliaeva, Natalia & Nawalkha, Sanjay, 2012. "Pricing American interest rate options under the jump-extended constant-elasticity-of-variance short rate models," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 151-163.
    20. Dette, Holger & Podolskij, Mark, 2008. "Testing the parametric form of the volatility in continuous time diffusion models--a stochastic process approach," Journal of Econometrics, Elsevier, vol. 143(1), pages 56-73, March.
    21. Hatem Ben-Ameur & Michèle Breton, 2004. "A Dynamic Programming Approach for Pricing Options Embedded in Bonds," Computing in Economics and Finance 2004 237, Society for Computational Economics.

    More about this item

    JEL classification:

    • G0 - Financial Economics - - General
    • G1 - Financial Economics - - General Financial Markets

    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:ebl:ecbull:eb-07g00086. 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: John P. Conley (email available below). General contact details of provider: .

    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.