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A comprehensive view of Markov-Functional models and their application

Includes bibliographical references.

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Bibliographic Details
Main Author: Lapere, Michael
Other Authors: Becker, Ronald
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2016
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access_status_str Open Access
author Lapere, Michael
author2 Becker, Ronald
author_browse Becker, Ronald
Lapere, Michael
author_facet Becker, Ronald
Lapere, Michael
author_sort Lapere, Michael
collection Thesis
description Includes bibliographical references.
format Thesis
id oai:open.uct.ac.za:11427/19132
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:34:08.683Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2016
publishDateRange 2016
publishDateSort 2016
publisher Department of Mathematics and Applied Mathematics
publisherStr Department of Mathematics and Applied Mathematics
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/19132 A comprehensive view of Markov-Functional models and their application Lapere, Michael Becker, Ronald Mathematical Finance Includes bibliographical references. Markov-Functional models are a very powerful class of market models which calibrate and compute prices and Greeks quickly. This dissertation explains, in detail, how Markov-Functional models work as well as discussing all of the specific models developed in the literature. It contains the key points that can be found in the present literature. We explain, in detail, all of the concepts, from the theoretical framework down to the numerical implementation of the specific models. This involves explaining the framework for Markov-Functional models, describing specific models, obtaining a deeper understanding of how the model parameters affect the results, discussing the issues involved in the implementation, implementing various models and investigating the effect of numerical and market parameters on the outcome. Various concepts, not discussed in the present literature, such as considerations for selecting a discretization grid for the numerical implementation, are developed. The practical application of Markov-Functional models is considered as well as alternative fields, such as Actuarial science, where the model can be applied. In summary, this dissertation embodies a complete discussion of the current class of Markov-Functional models. 2016-04-22T13:33:54Z 2016-04-22T13:33:54Z 2006 Master Thesis Masters MSc http://hdl.handle.net/11427/19132 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town
spellingShingle Mathematical Finance
Lapere, Michael
A comprehensive view of Markov-Functional models and their application
thesis_degree_str Master's
title A comprehensive view of Markov-Functional models and their application
title_full A comprehensive view of Markov-Functional models and their application
title_fullStr A comprehensive view of Markov-Functional models and their application
title_full_unstemmed A comprehensive view of Markov-Functional models and their application
title_short A comprehensive view of Markov-Functional models and their application
title_sort comprehensive view of markov functional models and their application
topic Mathematical Finance
url http://hdl.handle.net/11427/19132
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