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Maximum Likelihood Estimation of Latent Affine Processes

Maximum Likelihood Estimation of Latent Affine Processes This article develops a direct filtration-based maximum likelihood methodology for estimating the parameters and realizations of latent affine processes. Filtration is conducted in the transform space of characteristic functions, using a version of Bayes’ rule for recursively updating the joint characteristic function of latent variables and the data conditional upon past data. An application to daily stock market returns over 1953–1996 reveals substantial divergences from estimates based on the Efficient Methods of Moments (EMM) methodology; in particular, more substantial and time-varying jump risk. The implications for pricing stock index options are examined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Review of Financial Studies Oxford University Press

Maximum Likelihood Estimation of Latent Affine Processes

The Review of Financial Studies , Volume 19 (3) – Feb 17, 2006

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References (78)

Publisher
Oxford University Press
Copyright
© The Author 2006. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For permissions, please email: [email protected].
ISSN
0893-9454
eISSN
1465-7368
DOI
10.1093/rfs/hhj022
Publisher site
See Article on Publisher Site

Abstract

This article develops a direct filtration-based maximum likelihood methodology for estimating the parameters and realizations of latent affine processes. Filtration is conducted in the transform space of characteristic functions, using a version of Bayes’ rule for recursively updating the joint characteristic function of latent variables and the data conditional upon past data. An application to daily stock market returns over 1953–1996 reveals substantial divergences from estimates based on the Efficient Methods of Moments (EMM) methodology; in particular, more substantial and time-varying jump risk. The implications for pricing stock index options are examined.

Journal

The Review of Financial StudiesOxford University Press

Published: Feb 17, 2006

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