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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
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/fin/papers/0512/0512029.pdf
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    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.
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    Cited by:

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    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.

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    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

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