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Simulation-Based Bayesian Estimation of Affine Term Structure Models

Andrew D. Sanford and Gael Martin

No 15/03, Monash Econometrics and Business Statistics Working Papers from Monash University, Department of Econometrics and Business Statistics

Abstract: This paper demonstrates the application of Bayesian simulation-based estimation to a class of interest rate models known as Affine Term Structure (ATS) models. The technique used is based on a Markov Chain Monte Carlo algorithm, with the discrete observations on yields augmented by additional higher frequency latent data. The introduction of augmented yield data reduces the bias associated with estimating a continuous time model using discretely observed data. The technique is demon-strated using a one-factor ATS model, with the latent factor process that underlies the yields sampled via a single-move algorithm. Numerical application of the method is demonstrated using both simulated and empirical data. Extension of the method to a three-factor ATS model is also discussed, as well as the application of a multi-move sampler based on a Kalman Filtering and Smoothing algorithm.

Keywords: Interest Rate Models; Markov Chain Monte Carlo; Data Augmentation; Nonlinear State Space Models; Kalman Filtering. (search for similar items in EconPapers)
JEL-codes: C11 C15 E43 (search for similar items in EconPapers)
Pages: 41 pages
Date: 2003-09
New Economics Papers: this item is included in nep-cmp, nep-ecm, nep-ets, nep-fin and nep-rmg
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Journal Article: Simulation-based Bayesian estimation of an affine term structure model (2005) Downloads
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