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Continuous-time short term interest rate models

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  • K. Ben Nowman

Abstract

A number of continuous time models of the short-term interest rate are estimated using recently developed Gaussian estimation methods on four currencies interest rates. Results indicate that for the US and Japanese currencies currently used models perform well in capturing the adjustment of the interest rate process. It is also found that for the French and Italian currencies the dependence of volatility on the level of the interest rate is significantly higher than is usually assumed by well-known models.

Suggested Citation

  • K. Ben Nowman, 1998. "Continuous-time short term interest rate models," Applied Financial Economics, Taylor & Francis Journals, vol. 8(4), pages 401-407.
    • Handle: RePEc:taf:apfiec:v:8:y:1998:i:4:p:401-407
    DOI: 10.1080/096031098332934
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    Cited by:

    1. 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.
    2. Burak Saltoglu, 2003. "Comparing forecasting ability of parametric and non-parametric methods: an application with Canadian monthly interest rates," Applied Financial Economics, Taylor & Francis Journals, vol. 13(3), pages 169-176.
    3. 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.
    4. Purnendu Nath & K. Ben Nowman, 2001. "Estimates of the continuous time Cox-Ingersoll-Ross term structure model: further results for the UK gilt-edged market," Applied Economics Letters, Taylor & Francis Journals, vol. 8(2), pages 85-88.
    5. Nowman, K. Ben & Sorwar, Ghulam, 1999. "Pricing UK and US securities within the CKLS model Further results," International Review of Financial Analysis, Elsevier, vol. 8(3), pages 235-245, March.
    6. 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.
    7. 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.
    8. Mahdavi, Mahnaz, 2008. "A comparison of international short-term rates under no arbitrage condition," Global Finance Journal, Elsevier, vol. 18(3), pages 303-318.
    9. K. Ben Nowman & Ghulam Sorwar, 2003. "Implied option prices from the continuous time CKLS interest rate model: an application to the UK," Applied Financial Economics, Taylor & Francis Journals, vol. 13(3), pages 191-197.
    10. 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.
    11. Reid Dorsey-Palmateer & Gary Smith, 2007. "Shrunken interest rate forecasts are better forecasts," Applied Financial Economics, Taylor & Francis Journals, vol. 17(6), pages 425-430.
    12. José Luis Fernández-Serrano & M. Dolores Robles Fernández, 2004. "Política monetaria y cambios de régimen en los tipos de interés del mercado interbancario español," Investigaciones Economicas, Fundación SEPI, vol. 28(2), pages 349-376, May.
    13. 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.
    14. Ghulam Sorwar, 2005. "Implied derivative security prices based two-factor interest model: a UK application," Applied Financial Economics, Taylor & Francis Journals, vol. 15(10), pages 739-744.
    15. Ram Bhar & Carl Chiarella & Wolfgang Runggaldier, 2001. "Estimation in Models of the Instantaneous Short Term Interest Rate By Use of a Dynamic Bayesian Algorithm," Research Paper Series 68, Quantitative Finance Research Centre, University of Technology, Sydney.
    16. Thornton, Michael A. & Chambers, Marcus J., 2016. "The exact discretisation of CARMA models with applications in finance," Journal of Empirical Finance, Elsevier, vol. 38(PB), pages 739-761.
    17. Ram Bhar & Carl Chiarella & Hing Hung & Wolfgang Runggaldier, 2004. "The Volatility of the Instantaneous Spot Interest Rate Implied by Arbitrage Pricing - A Dynamic Bayesian Approach," Finance 0409002, University Library of Munich, Germany.

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