Peroni, Chiara (2009): Testing Linearity in Term Structures.
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Recent empirical studies suggests that affine models, a popular framework to analyse term structures of interest rates, are misspecified. This evidence is mainly based on time series properties of the data. This article re-examines this controversy, by investigating both cross-sectional and dynamic properties of affine models. To do so, it applies robust non-parametric techniques to two different sets of financial data, which contain information on the UK and US yield curve. The analysis shows the strong non-linearity in the relationship of yields to the US and UK short rate. The non-linear pattern is concave in the state variable, and increasing with respect to the maturity, for both countries. Linear and non-linear specifications are then compared by means of a formal statistical criterion, the Generalised Likelihood-Ratio test statistics, which confirms evidence against the linear specification.
|Item Type:||MPRA Paper|
|Original Title:||Testing Linearity in Term Structures|
|Keywords:||interest rates; term structure; affine models; non-linearity; non-parametric regression.|
|Subjects:||E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E43 - Interest Rates: Determination, Term Structure, and Effects
G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General
|Depositing User:||Chiara Peroni|
|Date Deposited:||28. Jul 2009 00:28|
|Last Modified:||15. Feb 2013 19:02|
 D. Y. Ahn and B. Gao. A parametric nonlinear model of term structure dynamics. The Review of Financial Studies, 12:761-762, 1999.
 Y. At-Sahalia. Non-parametric pricing of interest rate derivative securities. Econometrica, 64:527-560, 1996.
 Y. At-Sahalia. Testing continuous-time models of the spot interest rate. Review of Financial Studies, 9:385-426, 1996.
 A. Azzalini and A. Bowman. On the use of nonparametric regression for checking linear relationships. J. R. Statist. Soc. B, 55:549-557, 1993.
 A. Azzalini and A. Bowman and W. Härdle. On the use of nonparametric regression for model checking. Biometrika, 76:1-11, 1989.
 F. M. Bandi. Short-term interest rate dynamics: a spatial approach. Journal of Financial Economics, 65:73-110, 2002.
 H. J. Bierens. Testing the unit root with drift hypothesis against non-linear trend stationarity, with an application to the US price level and the interest rate. Journal of Econometrics, 81:29-64, 1997.
 F. X. Diebold and G. L. Rudebusch. On the power of Dickey-Fuller test against fractional alternatives. Economic Letters, 35:155-60, 1991.
 J. Fan and C. Zhang. A reexamination of diffusion estimators with application to financial model validation. The Journal of the American Statistical Association, 98(118-134), 2003.
 J. Fan and C. Zhang and J.Zhang. Generalized Likelihood Ratio statistics and Wilks phenomenon. The Annals of Statistics, 23:153-93, 2001.
 L. A. Gil-Alana and P. M. Robinson. Testing of unit root and other nonstationary hypotheses in macroeconomic time series. Journal of Econometrics, 80:241-268, 1997.
 P. Hall and S. N. Lahiri and Y. K. Truong. On bandwidth choice for density estimation with dependent data. The Annals of Statistics, 23(6):2241-2263, 1995.
 W. Härdle and E. Mammen. Comparing nonparametric versus parametric regression fits. The Annals of Statistics, 21:1926-47, 1993.
 G. J. Jiang. Nonparametric modeling of U.S. interest rate term structure dynamics and implications on the price of derivative securities. Journal of Financial and Quantitative Analysis, 33:465-497, 1998.
 G. J. Jiang and J. L. Knight. A nonparametric approach to the estimation of diffusion processes, with an application to a short-term interest rate model. Econometric Theory, 13:615-645, 1997.
 J. H. McCulloch and H. Kwon. volume 1 of Handbook of Monetary Economics, chapter U.S. Term Structure Data, 1946-87. North-Holland, 1990.
 C. R. Nelson and C. I. Plosser. Trends and random walk in economic time series. Journal of Monetary Economics, 10:139-162, 1982.