JMF  Vol.4 No.3 , May 2014
Identification and Estimation of Gaussian Affine Term Structure Models with Regime Switching
Abstract: We establish that [1]’s parameters are universally unidentified and a subset of their parameterization is over identified. As a solution to the problem with the identifiability, we propose a new representation of double-regime three-factor GDTSMs whose parameters are just-identified when the number of the pricing-with-error yields equals 2. This new parametrization has another advantage over [2] in that we can back out Q parameters and P parameters separately and make the estimation of structural parameters easier. Finally, we show that regime-switching three-factor arbitrage-free dynamic Nelson-Siegel model is a restricted special case of our model.
Cite this paper: Wang, G. (2014) Identification and Estimation of Gaussian Affine Term Structure Models with Regime Switching. Journal of Mathematical Finance, 4, 148-159. doi: 10.4236/jmf.2014.43014.

[1]   Dai, Q., Singleton, K.J. and Yang, W. (2007) Regime Shifts in a Dynamic Term Structure Model of US Treasury Bond Yields. Review of Financial Studies, 20, 1669-1706.

[2]   Vasicek, O. (1977) An Equilibrium Characterization of the Term Structure. Journal of Financial Economics, 5, 177-188.

[3]   Duffie, D. and Kan, R. (1996) A Yield-Factor Model of Interest Rates. Mathematical Finance, 6, 379-406.

[4]   Dai, Q. and Singleton, K. (2000) Specification Analysis of Affine Term Structure Models. Journal of Finance, 55, 1943-1978.

[5]   Duffee, G.R. (2002) Term Premia and Interest Rate Forecasts in Affine Models. Journal of Finance, 57, 405-443.

[6]   Garcia, R. and Perron, P. (1996) An Analysis of the Real Interest Rate Under Regime Shifts. The Review of Economics and Statistics, 78, 111-125.

[7]   Ang, A. and Bekaert, G. (2002) Short Rate Nonlinearities and Regime Switches. Journal of Economic Dynamics and Control, 26, 1243-1274.

[8]   Hamilton, J. and Wu, J. (2012) Identification and Estimation of Gaussian Affine Term Structure Models. Journal of Econometrics, 168, 315-331.

[9]   Christensen, J.H.E., Diebold, F.X. and Rudebusch, G.D. (2011) An Arbitrage-Free Class of Nelson-Siegel Term Structuremodel. Journal of Econometrics, 164, 4-20.

[10]   Bandara, W. and Munclinger, R. (2011) Term Structure Modeling with Structural Breaks: A Simple Arbitrage-Free Approach.

[11]   Ang, A. and Piazzesi, M. (2003) A No-Argitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables. Journal of Monetary Economics, 50, 745-787.

[12]   Pericoli, M. and Taboga, M. (2008) Canonical Term-Structure Models with Observable Factors and the Dynamics of Bond Risk Premia. Journal of Money, Credit and Banking, 40, 1471-1488.

[13]   Hamilton, J. (1989) A New Approach to the Economic Analysis of Non-Stationary Time Series and the Business Cycle. Econometrica, 57, 357-384.