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A finite element approach to pricing Barrier options

Dissertation (MSc)--University of Pretoria, 2015.

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Other Authors: Van Zyl, A.J.
Format: Thesis
Language:English
Published: University of Pretoria 2017
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access_status_str Open Access
author2 Van Zyl, A.J.
author_browse Van Zyl, A.J.
author_facet Van Zyl, A.J.
collection Thesis
dc_rights_str_mv © 2017 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
description Dissertation (MSc)--University of Pretoria, 2015.
format Thesis
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institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:37:52.763Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2017
publishDateRange 2017
publishDateSort 2017
publisher University of Pretoria
publisherStr University of Pretoria
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source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/60854 A finite element approach to pricing Barrier options Van Zyl, A.J. u28124082@tuks.co.za Richards, Mark Timothy UCTD Dissertation (MSc)--University of Pretoria, 2015. In this dissertation we consider the valuation of discretely monitored barrier options under the in nite element method. The in nite element method is an extension to the standard nite element method that accepts problems with unbounded spacial domains (such as the Black-Scholes PDE), without resorting to domain truncation. The degeneracy of the Black-Scholes PDE when the underlying asset reaches zero, requires that the method be formulated within the context of weighted Sobolev spaces. We will demonstrate the convergence of the proposed method and provide a rigorous investigation into the underlying weighted Sobolev spaces in which the convergence is to be demonstrated. Mathematics and Applied Mathematics MSc Unrestricted 2017-06-05T12:12:13Z 2017-06-05T12:12:13Z 2017-04-21 2015 Dissertation Richards, MT 2015, A finite element approach to pricing Barrier options, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/60854> A2017 http://hdl.handle.net/2263/60854 en © 2017 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria
spellingShingle UCTD
A finite element approach to pricing Barrier options
title A finite element approach to pricing Barrier options
title_full A finite element approach to pricing Barrier options
title_fullStr A finite element approach to pricing Barrier options
title_full_unstemmed A finite element approach to pricing Barrier options
title_short A finite element approach to pricing Barrier options
title_sort finite element approach to pricing barrier options
topic UCTD
url http://hdl.handle.net/2263/60854