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Simulated Maximum Likelihood Estimation for Latent Diffusion Models

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  • Tore Selland Kleppe

    (University of Bergen)

  • Jun Yu

    ()
    (Sim Kee Boon Institute for Financial Economics, School of Economics and Lee Kong Chian School of Business)

  • Hans J. Skaug

    (University of Bergen)

Abstract

In this paper a method is developed and implemented to provide the simulated maximum likelihood estimation of latent diffusions based on discrete data. The method is applicable to diffusions that either have latent elements in the state vector or are only observed at discrete time with a noise. Latent diffusions are very important in practical applications in financial economics. The proposed approach synthesizes the closed form method of Aït-Sahalia (2008) and the efficient importance sampler of Richard and Zhang (2007). It does not require any infill observations to be introduced and hence is computationally tractable. The Monte Carlo study shows that the method works well in finite sample. The empirical applications illustrate usefulness of the method and find no evidence of infinite variance in the importance sampler.

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Bibliographic Info

Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 12-2012.

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Length: 30 pages
Date of creation: Jan 2012
Date of revision:
Publication status: Published in SMU Economics and Statistics Working Paper Series
Handle: RePEc:siu:wpaper:12-2012

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Keywords: Closed-form approximation; Diffusion Model; Ecient importance sampler;

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  22. Kleppe, Tore Selland & Liesenfeld, Roman, 2011. "Efficient high-dimensional importance sampling in mixture frameworks," Economics Working Papers 2011,11, Christian-Albrechts-University of Kiel, Department of Economics.
  23. Yu, Jialin, 2007. "Closed-form likelihood approximation and estimation of jump-diffusions with an application to the realignment risk of the Chinese Yuan," Journal of Econometrics, Elsevier, vol. 141(2), pages 1245-1280, December.
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