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Asia-Pacific Financial Markets

, Volume 10, Issue 2–3, pp 275–279 | Cite as

A Note on Gaussian Estimation of the CKLS and CIR Models with Feedback Effects for Japan

  • K. Ben Nowman
Article

Abstract

In this note we extend the Gaussian estimation of two factor CKLS and CIR models recently considered in Nowman, K. B. (2001, Gaussian estimation and forecasting of multi-factor term structure models with an application to Japan and the United Kingdom, Asia Pacif. Financ. Markets 8, 23–34) to include feedback effects in the conditional mean as was originally formulated in general continuous time models by Bergstrom, A. R. (1966, Non-recursive models as discrete approximations to systems of stochastic differential equations, Econometrica 34, 173–182) with constant volatility. We use the exact discrete model of Bergstrom, A. R. (1966, Non-recursive models as discrete approximations to systems of stochastic differential equations, Econometrica 34, 173–182) to estimate the parameters which was first used by Brennan, M. J. and Schwartz, E. S. (1979, A continuous time approach to the pricing of bonds, J. Bank. Financ. 3, 133–155) to estimate their two factor interest model but incorporating the assumption of Nowman, K. B. (1997, Gaussian estimation of single-factor continuous time models of the term structure of interest rates, J. Financ. 52, 1695–1706; 2001, Gaussian estimation and forecasting of multi-factor term structure models with an application to Japan and the United Kingdom, Asia Pacif. Financ. Markets 8, 23–34). An application to monthly Japanese Euro currency rates indicates some evidence of feedback from the 1-year rate to the 1-month rate in both the CKLS and CIR models. We also find a low level-volatility effect supporting Nowman, K. B. (2001, Gaussian estimation and forecasting of multi-factor term structure models with an application to Japan and the United Kingdom, Asia Pacif. Financ. Markets 8, 23–34).

Key words

CKLS feedback effects Gaussian estimation interest rates 

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References

  1. Bergstrom, A. R. (1966) Non-recursive models as discrete approximations to systems of stochastic differential equations, Econometrica 34, 173–182.Google Scholar
  2. Bergstrom, A. R. (1983) Gaussian estimation of structural parameters in higher-order continuous time dynamic models, Econometrica 51, 117–152.Google Scholar
  3. Bergstrom, A. R. (1990) Continuous Time Econometric Modelling, Oxford University Press, Oxford.Google Scholar
  4. Brennan, M. J. and Schwartz, E. S. (1979) A continuous time approach to the pricing of bonds, J. Bank. Financ. 3, 133–155.CrossRefGoogle Scholar
  5. Chan, K. C., Karolyi, G. A., Longstaff, F. A., and Sanders, A. B. (1992) An empirical comparison of alternative models of the short-term interest rate, J. Financ. 47, 1209–1227.Google Scholar
  6. Cox, J. C., Ingersoll, J. E., and Ross, S. A. (1985) A theory of the term structure of interest rates, Econometrica 53, 385–407.MathSciNetGoogle Scholar
  7. Episcopos, A. (2000) Further evidence on alternative continuous time models of the short-term interest rate, J. Int. Financ. Markets, Inst. Money 10, 199–212.Google Scholar
  8. James, J. and Webber, N. (2000) Interest Rate Modelling, Wiley, New York.Google Scholar
  9. Malinvaud, E. (1966) Statistical Methods of Econometrics, North-Holland, Amsterdam.Google Scholar
  10. Nowman, K. B. (1997) Gaussian estimation of single-factor continuous time models of the term structure of interest rates, J. Financ. 52, 1695–1706.Google Scholar
  11. Nowman, K. B. (2001) Gaussian estimation and forecasting of multi-factor term structure models with an application to Japan and the United Kingdom, Asia Pacif. Financ. Markets 8, 23–34.CrossRefGoogle Scholar
  12. Nowman, K. B. (2002) The volatility of Japanese interest rates: Evidence for certificate of deposit and gensaki rates, Int. Rev. Financ. Anal. 11, 29–38.CrossRefGoogle Scholar
  13. Saltoğlu, B. (2003) Comparing forecasting ability of parametric and nonparametric methods: Aplication with Canadian monthly interest rates, Appl. Financ. Econom. 13, 169–176.CrossRefGoogle Scholar

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of Finance and Business Law, Westminster Business SchoolUniversity of WestminsterLondonUnited Kingdom

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