IDEAS home Printed from https://ideas.repec.org/p/ltv/wpaper/200901.html
   My bibliography  Save this paper

A Convergence Model of the Term Structure of Interest Rates

Author

Listed:
  • Viktors Ajevskis

    (Bank of Latvia)

  • Kristine Vitola

    (Bank of Latvia)

Abstract

This paper develops a convergence model of the term structure of interest rates in the context of entering the EMU. Compared with the other models developed so far in this field, our model specification ensures convergence of the domestic short-term interest rates to the euro area ones. We achieve this convergence by stating that the spread between the domestic and euro short-term interest rates follows the Brownian bridge process. We also develop an econometric counterpart of the theoretical model. To address the problem of nonstationarity and nonlinearity of the model, the extended Kalman filter for coefficient estimation is applied.

Suggested Citation

  • Viktors Ajevskis & Kristine Vitola, 2009. "A Convergence Model of the Term Structure of Interest Rates," Working Papers 2009/01, Latvijas Banka.
    • Handle: RePEc:ltv:wpaper:200901
    as

    Download full text from publisher

    File URL: https://www.bank.lv/public_files/images/img_lb/izdevumi/english/citas/wp_2009-1_ajevskis-vitola.pdf
    Download Restriction: no
    File URL: https://www.macroeconomics.lv/sites/default/files/wp_2009-1_ajevskis-vitola.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Favero, Carlo A. & Giavazzi, Francesco & Iacone, Fabrizio & Guido Tabellini, 2000. "Extracting information from asset prices: The methodology of EMU calculators," European Economic Review, Elsevier, vol. 44(9), pages 1607-1632, October.
    2. De Grauwe, Paul, 1996. "Forward Interest Rates as Predictors of EMU," CEPR Discussion Papers 1395, C.E.P.R. Discussion Papers.
    3. Jesper Lund, 1999. "A Model for Studying the Effect of EMU on European Yield Curves," Review of Finance, European Finance Association, vol. 2(3), pages 321-363.
    4. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    5. 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.
    6. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    7. David S. Bates, 1999. "Financial Markets' Assessment of EMU," NBER Working Papers 6874, National Bureau of Economic Research, Inc.
    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. Reher, Gerrit & Wilfling, Bernd, 2014. "The valuation of European call options on zero-coupon bonds in the run-up to a fixed exchange-rate regime," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 483-496.
    2. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    3. Martin Cincibuch & Matrina Horníková, 2008. "Measuring the Financial Markets’ Perception of EMU Enlargement: The Role of Ambiguity Aversion," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 58(05-06), pages 210-230, August.
    4. Driessen, Joost & Perotti, Enrico, 2011. "Confidence building on Euro convergence: Evidence from currency options," Journal of International Money and Finance, Elsevier, vol. 30(3), pages 474-491, April.
    5. 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.
    6. Wilfling, Bernd, 2009. "Volatility regime-switching in European exchange rates prior to monetary unification," Journal of International Money and Finance, Elsevier, vol. 28(2), pages 240-270, March.
    7. Chuong Luong & Nikolai Dokuchaev, 2016. "Modeling Dependency Of Volatility On Sampling Frequency Via Delay Equations," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 1-21, June.
    8. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    9. Prakash Chakraborty & Kiseop Lee, 2022. "Bond Prices Under Information Asymmetry and a Short Rate with Instantaneous Feedback," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 613-634, June.
    10. Podolskij, Mark & Vetter, Mathias, 2009. "Bipower-type estimation in a noisy diffusion setting," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 2803-2831, September.
    11. Foad Shokrollahi & Marcin Marcin Magdziarz, 2020. "Equity warrant pricing under subdiffusive fractional Brownian motion of the short rate," Papers 2007.12228, arXiv.org, revised Nov 2020.
    12. Gonçalo Jacinto & Patrícia A. Filipe & Carlos A. Braumann, 2022. "Profit Optimization of Cattle Growth with Variable Prices," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1917-1952, September.
    13. Olivier Le Courtois, 2022. "On the Diversification of Fixed Income Assets," Risks, MDPI, vol. 10(2), pages 1-21, February.
    14. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
    15. Patrick Saart & Jiti Gao & Nam Hyun Kim, 2014. "Semiparametric methods in nonlinear time series analysis: a selective review," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 26(1), pages 141-169, March.
    16. Moreno, Manuel & Novales, Alfonso & Platania, Federico, 2019. "Long-term swings and seasonality in energy markets," European Journal of Operational Research, Elsevier, vol. 279(3), pages 1011-1023.
    17. Frank De Jong & Joost Driessen & Antoon Pelsser, 2001. "Libor Market Models versus Swap Market Models for Pricing Interest Rate Derivatives: An Empirical Analysis," Review of Finance, European Finance Association, vol. 5(3), pages 201-237.
    18. João Nunes, 2011. "American options and callable bonds under stochastic interest rates and endogenous bankruptcy," Review of Derivatives Research, Springer, vol. 14(3), pages 283-332, October.
    19. Jorge Miguel Bravo, 2019. "Funding for longer lives. Retirement wallet and risk-sharing annuities," EKONOMIAZ. Revista vasca de Economía, Gobierno Vasco / Eusko Jaurlaritza / Basque Government, vol. 96(02), pages 268-291.
    20. Mahdavi, Mahnaz, 2008. "A comparison of international short-term rates under no arbitrage condition," Global Finance Journal, Elsevier, vol. 18(3), pages 303-318.

    More about this item

    Keywords

    term structure of interest rates; the Brownian bridge; the EMU; nonlinear Kalman filter;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • F36 - International Economics - - International Finance - - - Financial Aspects of Economic Integration
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ltv:wpaper:200901. 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: Konstantins Benkovskis (email available below). General contact details of provider: https://edirc.repec.org/data/bolgvlv.html .

    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.