Times and Sizes of Jumps in the Mexican Interest Rate

Authors

  • José Antonio Núñez Mora Instituto Tecnológico y de Estudios Superiores de Monterrey
  • Arturo Lorenzo Valdés Instituto Tecnológico y de Estudios Superiores de Monterrey

Keywords:

Jumps, Monte Carlo, Diffusion model, Gibbs sampler

Abstract

This paper examines the role of jumps in a continuous-time short-term interest rate model for Mexico. A filtering algorithm provides estimates of jumps times and sizes in the time series of Mexican cetes for the 1998-2006 period. The empirical results indicate that the inclusion of jumps in the diffusion model represents a better alternative than not to include them.

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References

Ait-Sahalia, Yacine (1996). “Testing continuous time models of the spot interest rates,” Review of financial studies 9, 385-426.

Das, Sanjiv (1998). Poisson-Gaussian Processes and the Bond Markets, NBER Working Paper Series 6631.

Das, Sanjiv (2001). “The surprise element: jumps in the interest rates”, Journal of Econometrics, 106, 27-65.

Florens-Zmirou, D. (1993). “On estimating the diffusion coefficient from discrete observations”, Journal of applied probability, 30, 790-804.

Gihkman, I. and A.V. Skorohod (1972). Stochastic Differential Equations. New York: Springer-Verlag.

Jacod, J. and A. Shiryaev (1987). Limit Theorems for Stochastic Processes, Grundlehren der Mathematischne Wissenschaften, 288, New York: Springer Verlag.

Jian, George, and J. Knight J. (1977). “A nonparametric approach to the estimation of diffusion processes with application to a short-term term interest rate model”, Econometric Theory, 13, 615-645.

Johannes, M. (2004). “The statistical and economic role of jumps in continuous time interest rate models”, The Journal of finance , lix, 1, 227-260

Núñez Mora, José A. and A. Lorenzo (2007). “Jumps in a Continuous Time Interest Model in Mexico”, Colombian Accounting Journal, to appear.

Stanton, Richard (1997). “A nonparametric model of the term structure dynamics and the market price of interest rate risk”, Journal of Finance, 52, 1973-2002.

Zhou, Hao (1999). Jump diffusion term structure and the Itô conditional moment generator, Working Paper, Duke University.

Published

2024-07-23

How to Cite

Núñez Mora, J. A., & Lorenzo Valdés, A. (2024). Times and Sizes of Jumps in the Mexican Interest Rate. Análisis Económico, 23(53), 35–45. Retrieved from https://analisiseconomico.azc.uam.mx/index.php/rae/article/view/1317

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Artículos

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