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Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering

Particle filtering in stochastic volatility/jump models has gained significant attention in the last decade, with many distinguished researchers adding their contributions to this new field. Golightly (2009), Carvalho et al. (2010), Johannes et al. (2009) and Aihara et al. (2008) all attempt to exte...

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Main Author: Soane, Andrew
Format: Thesis
Language:English
Published: African Institute of Financial Markets and Risk Management 2019
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access_status_str Open Access
author Soane, Andrew
author_browse Soane, Andrew
author_facet Soane, Andrew
author_sort Soane, Andrew
collection Thesis
description Particle filtering in stochastic volatility/jump models has gained significant attention in the last decade, with many distinguished researchers adding their contributions to this new field. Golightly (2009), Carvalho et al. (2010), Johannes et al. (2009) and Aihara et al. (2008) all attempt to extend the work of Pitt and Shephard (1999) and Liu and Chen (1998) to adapt particle filtering to latent state and parameter estimation in stochastic volatility/jump models. This dissertation will review their extensions and compare their accuracy at filtering the Bates stochastic volatility model. Additionally, this dissertation will provide an overview of particle filtering and the various contributions over the last three decades. Finally, recommendations will be made as to how to improve the results of this paper and explore further research opportunities.
format Thesis
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:32:39.476Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2019
publishDateRange 2019
publishDateSort 2019
publisher African Institute of Financial Markets and Risk Management
publisherStr African Institute of Financial Markets and Risk Management
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source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/29223 Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering Soane, Andrew Mathematical Finance Particle filtering in stochastic volatility/jump models has gained significant attention in the last decade, with many distinguished researchers adding their contributions to this new field. Golightly (2009), Carvalho et al. (2010), Johannes et al. (2009) and Aihara et al. (2008) all attempt to extend the work of Pitt and Shephard (1999) and Liu and Chen (1998) to adapt particle filtering to latent state and parameter estimation in stochastic volatility/jump models. This dissertation will review their extensions and compare their accuracy at filtering the Bates stochastic volatility model. Additionally, this dissertation will provide an overview of particle filtering and the various contributions over the last three decades. Finally, recommendations will be made as to how to improve the results of this paper and explore further research opportunities. 2019-02-04T11:25:03Z 2019-02-04T11:25:03Z 2018 2019-02-04T08:03:17Z Master Thesis Masters MPhil http://hdl.handle.net/11427/29223 eng application/pdf African Institute of Financial Markets and Risk Management Faculty of Commerce University of Cape Town
spellingShingle Mathematical Finance
Soane, Andrew
Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering
thesis_degree_str Master's
title Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering
title_full Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering
title_fullStr Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering
title_full_unstemmed Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering
title_short Latent State and Parameter Estimation of Stochastic Volatility/Jump Models via Particle Filtering
title_sort latent state and parameter estimation of stochastic volatility jump models via particle filtering
topic Mathematical Finance
url http://hdl.handle.net/11427/29223
work_keys_str_mv AT soaneandrew latentstateandparameterestimationofstochasticvolatilityjumpmodelsviaparticlefiltering