IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpfi/0512029.html
   My bibliography  Save this paper

The Dynamics of the Short-Term Interest Rate in the UK

Author

Listed:
  • Diether Beuermann

    (Inter-American Development Bank)

  • Antonios Antoniou

    (Durham Business School)

  • Alejandro Bernales

    (Inter-American Development Bank)

Abstract

We estimate and test different continuous-time short-rate models for the UK. The preferred model encompasses both the “level effect” of Chan, Karolyi, Longstaff and Sanders (1992a) and the conditional heteroskedasticity effect of GARCH type models. Our findings suggest that including a GARCH effect in the specification of the conditional variance, almost halves the dependence of volatility on rate levels. We also find weak evidence of mean-reversion and volatility asymmetries in the stochastic behavior of rates. Extensive diagnostic tests suggest that the Constant Elasticity of Variance model of Cox (1975), with an added GARCH effect, provides a reliable description of short-rate dynamics. We demonstrate that the most important feature in short-rate modeling is the correct specification of the conditional variance of changes in rates; suggesting that the conditional mean characterization is of second order.

Suggested Citation

  • Diether Beuermann & Antonios Antoniou & Alejandro Bernales, 2005. "The Dynamics of the Short-Term Interest Rate in the UK," Finance 0512029, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpfi:0512029
    Note: Type of Document - pdf; pages: 27
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/fin/papers/0512/0512029.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 385-426.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    4. Grossman, S J & Melino, Angelo & Shiller, Robert J, 1987. "Estimating the Continuous-Time Consumption-Based Asset-Pricing Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(3), pages 315-327, July.
    5. Engle, Robert F & Ng, Victor K, 1993. "Time-Varying Volatility and the Dynamic Behavior of the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(3), pages 336-349, August.
    6. Campbell, John Y, 1986. "A Defense of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 41(1), pages 183-193, March.
    7. Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212, Elsevier.
    8. Gray, Stephen F., 1996. "Modeling the conditional distribution of interest rates as a regime-switching process," Journal of Financial Economics, Elsevier, vol. 42(1), pages 27-62, September.
    9. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    10. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    11. Hiraki, Takato & Takezawa, Nobuya, 1997. "How sensitive is short-term Japanese interest rate volatility to the level of the interest rate?," Economics Letters, Elsevier, vol. 56(3), pages 325-332, November.
    12. Conley, Timothy G, et al, 1997. "Short-Term Interest Rates as Subordinated Diffusions," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 525-577.
    13. K. Ben Nowman, 1998. "Continuous-time short term interest rate models," Applied Financial Economics, Taylor & Francis Journals, vol. 8(4), pages 401-407.
    14. Brenner, Robin J. & Harjes, Richard H. & Kroner, Kenneth F., 1996. "Another Look at Models of the Short-Term Interest Rate," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(1), pages 85-107, March.
    15. Engle, Robert F. & Ng, Victor K. & Rothschild, Michael, 1990. "Asset pricing with a factor-arch covariance structure : Empirical estimates for treasury bills," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 213-237.
    16. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    17. Nowman, K. Ben, 2002. "The volatility of Japanese interest rates: evidence for Certificate of Deposit and Gensaki rates," International Review of Financial Analysis, Elsevier, vol. 11(1), pages 29-38.
    18. Engle, Robert F & Ng, Victor K, 1993. "Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
    19. Dothan, L. Uri, 1978. "On the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 59-69, March.
    20. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    21. Dahlquist, Magnus, 1996. "On alternative interest rate processes," Journal of Banking & Finance, Elsevier, vol. 20(6), pages 1093-1119, July.
    22. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    23. Nowman, K B, 1997. "Gaussian Estimation of Single-Factor Continuous Time Models of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 52(4), pages 1695-1706, September.
    24. Tse, Y. K., 1995. "Some international evidence on the stochastic behavior of interest rates," Journal of International Money and Finance, Elsevier, vol. 14(5), pages 721-738, October.
    25. Brennan, Michael J. & Schwartz, Eduardo S., 1979. "A continuous time approach to the pricing of bonds," Journal of Banking & Finance, Elsevier, vol. 3(2), pages 133-155, July.
    26. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    27. Andersen, Torben G. & Lund, Jesper, 1997. "Estimating continuous-time stochastic volatility models of the short-term interest rate," Journal of Econometrics, Elsevier, vol. 77(2), pages 343-377, April.
    28. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    29. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1980. "An Analysis of Variable Rate Loan Contracts," Journal of Finance, American Finance Association, vol. 35(2), pages 389-403, May.
    30. Des Mc Manus & David Watt, 1999. "Estimating One-Factor Models of Short-Term Interest Rates," Staff Working Papers 99-18, Bank of Canada.
    31. Michael J. Brennan and Eduardo S. Schwartz., 1979. "A Continuous-Time Approach to the Pricing of Bonds," Research Program in Finance Working Papers 85, University of California at Berkeley.
    32. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    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. Nowman, K.B. & Yahia, B.B.H., 2008. "Euro and FIBOR interest rates: A continuous time modelling analysis," International Review of Financial Analysis, Elsevier, vol. 17(5), pages 1029-1035, December.
    2. Ruiz-Porras, Antonio & Perez-Sicairos, Rene Benjamin, 2010. "Un modelo de tres factores con un parámetro de sensibilidad de mercado para estimar la dinámica de la tasa corta: Una aplicación para la tasa de fondeo gubernamental de México [A three-factor model," MPRA Paper 26631, University Library of Munich, Germany.

    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. T. J. Brailsford & K. Maheswaran, 1998. "The Dynamics of the Australian Short†Term Interest Rate," Australian Journal of Management, Australian School of Business, vol. 23(2), pages 213-234, December.
    2. Zongwu Cai & Yongmiao Hong, 2013. "Some Recent Developments in Nonparametric Finance," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    3. repec:wyi:journl:002108 is not listed on IDEAS
    4. Byers, S. L. & Nowman, K. B., 1998. "Forecasting U.K. and U.S. interest rates using continuous time term structure models," International Review of Financial Analysis, Elsevier, vol. 7(3), pages 191-206.
    5. Peter Aling & Shakill Hassan, 2012. "No-Arbitrage One-Factor Models Of The South African Term Structure Of Interest Rates," South African Journal of Economics, Economic Society of South Africa, vol. 80(3), pages 301-318, September.
    6. Jun Yu & Peter C. B. Phillips, 2001. "A Gaussian approach for continuous time models of the short-term interest rate," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 1-3.
    7. Jin-Chuan Duan & Kris Jacobs, 2001. "Short and Long Memory in Equilibrium Interest Rate Dynamics," CIRANO Working Papers 2001s-22, CIRANO.
    8. Duan, Jin-Chuan & Jacobs, Kris, 2008. "Is long memory necessary? An empirical investigation of nonnegative interest rate processes," Journal of Empirical Finance, Elsevier, vol. 15(3), pages 567-581, June.
    9. Christiansen, Charlotte, 2005. "Multivariate term structure models with level and heteroskedasticity effects," Journal of Banking & Finance, Elsevier, vol. 29(5), pages 1037-1057, May.
    10. Franco Parisi, 1998. "Tasas de Interés Nominal de Corto Plazo en Chile: Una Comparación Empírica de sus Modelos," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 35(105), pages 161-182.
    11. Cai, Zongwu & Hong, Yongmiao, 2003. "Nonparametric Methods in Continuous-Time Finance: A Selective Review," SFB 373 Discussion Papers 2003,15, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    12. Bali, Turan G., 2003. "Modeling the stochastic behavior of short-term interest rates: Pricing implications for discount bonds," Journal of Banking & Finance, Elsevier, vol. 27(2), pages 201-228, February.
    13. Sirimon Treepongkaruna, 2003. "Quasi-maximum likelihood estimates of Kiwi short-term interest rate," Applied Economics Letters, Taylor & Francis Journals, vol. 10(15), pages 937-942.
    14. Yueh-Neng Lin & Ken Hung, 2008. "Is Volatility Priced?," Annals of Economics and Finance, Society for AEF, vol. 9(1), pages 39-75, May.
    15. Episcopos, Athanasios, 2000. "Further evidence on alternative continuous time models of the short-term interest rate," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 10(2), pages 199-212, June.
    16. 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.
    17. Olan T. Henry & Sandy Suardi, 2004. "Testing for a Level Effect in Short-Term Interest Rates," Department of Economics - Working Papers Series 924, The University of Melbourne.
    18. 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.
    19. repec:wyi:journl:002109 is not listed on IDEAS
    20. Jun Yu & Peter C.B. Phillips, 2001. "Gaussian Estimation of Continuous Time Models of the Short Term Interest Rate," Cowles Foundation Discussion Papers 1309, Cowles Foundation for Research in Economics, Yale University.
    21. Dankenbring, Henning, 1998. "Volatility estimates of the short term interest rate with an application to German data," SFB 373 Discussion Papers 1998,96, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    22. Haitao Li & Yuewu Xu, 2009. "Short Rate Dynamics and Regime Shifts," International Review of Finance, International Review of Finance Ltd., vol. 9(3), pages 211-241, September.

    More about this item

    Keywords

    Short-rate; level effect; GARCH effect.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

    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:wpa:wuwpfi:0512029. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.