Publication Type
Working Paper
Version
publishedVersion
Publication Date
8-2011
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 Ait-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 infinite sample. The empirical applications illustrate usefulness of the method and find no evidence of infinite variance in the importance sampler.
Keywords
Closed-form approximation, Diffusion Model, Efficient importance sampler
Discipline
Econometrics
Research Areas
Econometrics
First Page
1
Last Page
29
Publisher
SMU Economics and Statistics Working Paper Series, No. 10-2011
City or Country
Singapore
Citation
KLEPPE, Tore Selland; YU, Jun; and SKAUG, Hans J..
Simulated Maximum Likelihood Estimation for Latent Diffusion Models. (2011). 1-29.
Available at: https://ink.library.smu.edu.sg/soe_research/1310
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.