JMF  Vol.5 No.2 , May 2015
Arbitrage-Free Gaussian Affine Term Structure Model with Observable Factors
Author(s) Gang Wang1,2
ABSTRACT
This paper analyzes a simple discrete-time affine multifactor model of the term structure of interest rates in which the pricing factors that follow a Gaussian first-order vector autoregression are observable and there are no possibilities for risk-free arbitrage. We present the theoretical results for the compatible risk-neutral dynamics of observable factors in a maximally flexible way consistent with no-arbitrage under the assumption that the factor loadings of some yields are specified exogenously.

Cite this paper
Wang, G. (2015) Arbitrage-Free Gaussian Affine Term Structure Model with Observable Factors. Journal of Mathematical Finance, 5, 142-152. doi: 10.4236/jmf.2015.52013.
References
[1]   Duffie, D. and Kan, R. (1996) A Yield-Factor Model of Interest Rates. Mathematical Finance, 6, 379-406.
http://dx.doi.org/10.1111/j.1467-9965.1996.tb00123.x

[2]   Ang, A. and Piazzesi, M. (2003) A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables. Journal of Monetary Economics, 50, 745-787.
http://dx.doi.org/10.1016/S0304-3932(03)00032-1

[3]   Joslin, S., Singleton, K.J. and Zhu, H. (2011) A New Perspective on Gaussian Dynamic Term Structure Models. Review of Financial Studies, 24, 926-970.
http://dx.doi.org/10.1093/rfs/hhq128

[4]   Saroka, I. (2014) Affine Principal-Component-Based Term Structure Model.
http://Ssrn.Com/Abstract=2438623
http://dx.doi.org/10.2139/ssrn.2438623


[5]   Rebonato, R., Saroka, I. and Putyatin, V. (2014) A Principal-Component-Based Affine Term Structure Model.
http://Ssrn.Com/Abstract=2451130

[6]   Hamilton, J.D. and Wu, J.C. (2012) Identification and Estimation of Gaussian Affine Term Structure Models. Journal of Econometrics, 168, 315-331.
http://dx.doi.org/10.1016/j.jeconom.2012.01.035

[7]   Dai, Q. and Singleton, K. (2003) Term Structure Dynamics in Theory and Reality. Review of Financial Studies, 16, 631-678.
http://dx.doi.org/10.1093/rfs/hhg010

[8]   Diebold, F.X. and Li, C. (2006) Forecasting the Term Structure of Government Bond Yields. Journal of Econometrics, 130, 337-364.
http://dx.doi.org/10.1016/j.jeconom.2005.03.005

[9]   Christensen, J.H., Diebold, F.X. and Rudebusch, G.D. (2011) The Affine Arbitrage-Free Class of Nelson-Siegel Term Structure Models. Journal of Econometrics, 164, 4-20.
http://dx.doi.org/10.1016/j.jeconom.2011.02.011

 
 
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