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Convergence within the EU: Evidence from Interest Rates

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  • Teresa Corzo Santamaria
  • E. S. Schwartz

Abstract

type="main" xml:lang="en"> The economic and political changes which are taking place in Europe affect interest rates. This paper develops a two-factor model for the term structure of interest rates specially designed to apply to EMU countries. In addition to the participant country's short-term interest rate, we include as a second factor a ‘European’ short-term interest rate. We assume that the ‘European’ rate follows a mean reverting process. The domestic interest rate also follows a mean reverting process, but its convergence is to a stochastic mean which is identified with the ‘European’ rate. Closed-form solutions for prices of zero coupon discount bonds and options on these bonds are provided. A special feature of the model is that both the domestic and the European interest rate risks are priced. We also discuss an empirical estimation focusing on the Spanish bond market. The ‘European’ rate is proxied by the ecu's interest rate. Through a comparison of the performance of our convergence model with a Vasicek model for the Spanish bond market, we show that our model provides a better fit both in-sample and out-of sample and that the difference in performance between the models is greater the longer the maturity of the bonds. (J.E.L.: E43, C510).

Suggested Citation

  • Teresa Corzo Santamaria & E. S. Schwartz, 2000. "Convergence within the EU: Evidence from Interest Rates," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 29(2), pages 243-266, July.
    • Handle: RePEc:bla:ecnote:v:29:y:2000:i:2:p:243-266
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    File URL: http://hdl.handle.net/10.1111/1468-0300.00032
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    Cited by:

    1. Gregory Koutmos & George Philippatos, 2007. "Asymmetric Mean Reversion in European Interest Rates: A Two-factor Model," The European Journal of Finance, Taylor & Francis Journals, vol. 13(8), pages 741-750.
    2. Beáta Stehlíková, 2021. "New Approximations to Bond Prices in the Cox–Ingersoll–Ross Convergence Model with Dynamic Correlation," Mathematics, MDPI, vol. 9(13), pages 1-10, June.
    3. Viktors Ajevskis & Kristine Vitola, 2010. "A Convergence Model of the Term Structure of Interest Rates," Review of Finance, European Finance Association, vol. 14(4), pages 727-747.
    4. Teresa Corzo Santamaría & Javier Gómez Biscarri, 2005. "Nonparametric estimation of convergence of interest rates: Effects on bond pricing," Spanish Economic Review, Springer;Spanish Economic Association, vol. 7(3), pages 167-190, September.
    5. Bao, Jianhai & Yuan, Chenggui, 2013. "Long-term behavior of stochastic interest rate models with jumps and memory," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 266-272.

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