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Testing Distributions of Stochastically Generated Yield Curves

Published online by Cambridge University Press:  17 April 2015

Gary G. Venter
Gary G. Venter*
Affiliation:
Guy Carpenter Instrat®, One Madison Avenue, New York, NY USA 10010, Tel: +1-917-937-3277, Fax: +1-917-937-3777, E-mail: gary.g.venter@guycarp.com
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Abstract

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A method is introduced for testing the distribution of yield curves that are produced by asset scenario generators. The method is based on historical relationships in the conditional distributions of yield spreads given the short-term rate. As an illustration, this method is used to test a few selected models. To provide background, stochastic modeling for interest rates and fitting methods are briefly discussed.

Keywords

Interest ratesfinancial modeling
Type
Workshop
Information
ASTIN Bulletin: The Journal of the IAA , Volume 34 , Issue 1 , May 2004 , pp. 229 - 247
Copyright
Copyright © ASTIN Bulletin 2004

References

Andersen, T.G. and Lund, J. (1997) “Estimating continuous-time stochastic volatility models of the short-term interest rate”, Journal of Econometrics 72, 343–377.CrossRefGoogle Scholar
Andersen, T.G. and Lund, J. (1998) “Stochastic volatility and mean drift in the short term interest rate diffusion: Sources of steepness, level and curvature in the yield curve”, Working paper, Northwestern University.Google Scholar
Backus, T. and Wu, (1999) “Design and Estimation of Affine Yield Models”, Carnegie Mellon University, Graduate School of Industrial Administration working paper November.(http://bertha.gsia.cmu.edu/files/papers/aff99.ps.Google Scholar
Bliss, R. and Smith, D. (1998) “The Elasticity of Interest Rate Volatility: Chan, Karolyi, Long-staff, and Sanders Revisited”, Federal Reserve Bank of Atlanta working paper 97–13a.Google Scholar
Cairns, A. (2004) “A family of term-structure models for long-term risk management and derivative pricing”. To appear in Mathematical Finance. (http://www.ma.hw.ac.uk/~andrewc/papers/ajgc30.pdf.CrossRefGoogle Scholar
Chan, K., Karolyi, G., Longstaff, F. and Sanders, A. (1992) “An Empirical Investigation of Alternative Models of the Short-Term Interest Rate”, Journal of Finance 47, 1209–1227.CrossRefGoogle Scholar
Cox, J., Ingersoll, J. and Ross, S. (1985) “A Theory of the Term Structure of Interest Rates”, Econometrica 53, 385–408.CrossRefGoogle Scholar
Dai, Q. and Singleton, K. (2000), “Specification Analysis of Affine Term Structure Models”, Journal of Finance 55, 1943–78.CrossRefGoogle Scholar
Das, S. and Foresi, S. (1996) “Exact Solutions for Bond and Options Prices with Systematic Jump Risk”, Review of Derivatives Research, 1, 7–24.CrossRefGoogle Scholar
Heath, D., Jarrow R. and Morton, A. (1992), “Bond Pricing and Term Structure of Interest Rates: A New Methodology”, Econometrica 60(1), 77–105.CrossRefGoogle Scholar
Hibbert, Mowbray and Turnbull, (2001) “A Stochastic Asset Model & Calibration for Long-Term Financial Planning Purposes”, Technical Report, Barrie & Hibbert Limited June. Google Scholar
Hull, J. and White, A. (1987) “The Pricing of Options on Assets with Stochastic Volatilities”, Journal of Finance, XLII(2), 281–300.CrossRefGoogle Scholar
James, J. and Webber, N. (2002) Interest Rate Modelling, Wiley.Google Scholar
Johannes, M. (2003) “The Statistical and Economic Role of Jumps in Interest Rates”, Journal of Finance, to appear.Google Scholar
Lantsman, Y. and Major, J. (2001) “Actuarial Applications of Multifractal Modeling Part II: Time Series Applications”, Winter Forum, Casualty Actuarial Society 375–85.Google Scholar
Raible, S. (2000) “Lévy Processes in Finance: Theory, Numerics, and Empirical Facts”, Dissertation zur Erlangung des Doktorgrades der Mathematischen Fakultät der Albert-LudwigsUniversität Freiburg, January. Google Scholar
Rebonato, R. (2000) Interest Rate Option Models, Second Edition, Wiley.Google Scholar
Vasicek, O. (1977) “An Equilibrium Characterization of the Term Structure”, Journal of Financial Economics 5, 177–88.CrossRefGoogle Scholar
Zhou, H. (2001) “Jump-diffusion term structure and Ito conditional moment generator”, Finance and Economics Discussion Series, Board of Governors of the Federal Reserve System (U.S.) 2001–28.Google Scholar