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Does Conditioning Information Matter in Estimating Continuous Time Interest Rate Diffusions?

Published online by Cambridge University Press:  06 April 2009

Abhay Abhyankar  and
Devraj Basu
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Abstract

We examine an impartant aspect of emprical estimation of term structure models; the role of conditioning information in dynamic term structure models. The use of both real world or simulated data implicitly incorporates conditioning information. We examine the bias created in estimating the drift by a specific form of conditioning, namely truncation. Using the theory of enlargement of filtrations we provide estimates of the extent of this truncation bias for commonly used short rate models. We find that this truncation bias causes the drift of these models to have a nonlinear structure.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 36 , Issue 3 , September 2001 , pp. 335 - 344
Copyright
Copyright © School of Business Administration, University of Washington 2001

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References

Ait-Sahalia, Y. ‘Testing Continuous-Time Models of the Spot Interest Rate.’ Review of Financial Studies, 2 (1996) 385–426.CrossRefGoogle Scholar
Bandi, F. ‘Short-Term Interest Rate Dynamics: A Spatial Approach.’ Working paper, Graduate School of Business, Univ. of Chicago (2000)Google Scholar
Brown, S.; Goetxmann, W.; and Ross, S.. ‘Survival.’ Journal Finance, 50 (1995), 853–873.CrossRefGoogle Scholar
Chan, K. C.; Karolyi, A.;Longstaff, F.; and Sanders, A.. ‘An Empirical Comparison of Alternative Models of the Short Term Interest Rate.’ Journal of Finance, 47 (1992), 1209–1227.Google Scholar
Chapman, D.;Pearson, N. D.; and Long, J.. ‘Using Proxies for the Short Rate: When is Three Months Like and Instant?’ Review of Financial Studies, 12 (1999), 763–806.CrossRefGoogle Scholar
Chapman, D.; Pearson, N. D.. ‘Is the Short Rate Drift Actually Nonlinear?’ Journal of Finance, 55 (2000), 355–288.CrossRefGoogle Scholar
Cochrane, J.Asset Pricing. Princeton, NJ: Princeton Univ. Press (2001).Google Scholar
Cox, J. C.; Ingersoll, J. E.; and Ross, S. A.. ‘A Theory of the Term Structure of Interest Rates.’ Econometrica, 53 (1985), 321–346.CrossRefGoogle Scholar
Grorud, A., and Pontier, M.. ‘Insider Trading in a Continuous Time Market Model.’ International Journal of Theoretical and Applied Finance, 3 (1998), 331–347.CrossRefGoogle Scholar
Jeulin, T., and Yor., M. ‘Grossissements de Filtrations: Exemples et Applications.’ Lecture Notes in Mathematics. New York, NY: Springer Verlag (1985) 1118.CrossRefGoogle Scholar
Jones, C. ‘Nonlinear Mean Reversion in the Short Term Interest Rate.’ Working Paper, Simon School of Business, Univ. of Rochester (2000).Google Scholar
Karatzas, I.,, and Shreve, S.. Brownian Motion and Stochastic Calculus, 2nd ed.New York, NY: Springer-Verlag (1991).Google Scholar
Pinsky, R. ‘On the Convergence of Diffusion Processes Conditioned to Remain in a Bounded Region for Large Time to Limiting Positive Recurrent Diffusion Processes.’ Annals of Probability, 13 (1985), 363–378.CrossRefGoogle Scholar
Pritsker, M. ‘Nonparametric Density Estimation and Tests of Continuous Time Interest Rate Models.’ Review of Financial Studies, 11 (1998), 449–487.CrossRefGoogle Scholar
Ross, S. ‘Regression to the Max.’ Working Paper, Yale Univ. (1987).Google Scholar
Stanton, R. ‘A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk.’ Journal of Finanance, 52 (1997), 1973–2002.CrossRefGoogle Scholar
Taskin, A. ‘Application of Enlargement of Filtrations to the Term Structure of Interest Rates.’ Working Paper, Department of Economics, Univ. of Chicago (1999).Google Scholar
Vasicek, O. ‘An Equilibrium Characterization of the Term Structure.’ Journal of Financial Economics, 5 (1977), 177–188.CrossRefGoogle Scholar