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Simulated Likeliehood Estimation of Diffusions With an Application to the Short Tem Interest Rate

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  • Santa-Clara, Pedro

Abstract

This paper develops a new econometric method to estimate continuous time processes from discretely sampled data. This method extends the maximum likelihood technique to cases where the transition density of the process cannot be computed in closed form but can nevertheless be computed by simulation. The asymptotic properties of the estimator are obtained, showing it to have the same behavior in large samples of the (unknown) true likelihood estimator. That is, the simulated likelihood estimator is consistent and asymptotically normal. The econometric method is used to estimate the parameters of a broad family of processes for the short-term interest rate and test some restrictions to well-known models of the term structure.

Suggested Citation

  • Santa-Clara, Pedro, 1997. "Simulated Likeliehood Estimation of Diffusions With an Application to the Short Tem Interest Rate," University of California at Los Angeles, Anderson Graduate School of Management qt8zz2d0q8, Anderson Graduate School of Management, UCLA.
  • Handle: RePEc:cdl:anderf:qt8zz2d0q8
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    Cited by:

    1. Sun, Libo & Lee, Chihoon & Hoeting, Jennifer A., 2015. "A penalized simulated maximum likelihood approach in parameter estimation for stochastic differential equations," Computational Statistics & Data Analysis, Elsevier, vol. 84(C), pages 54-67.

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