We consider the finite difference method applied to a class of financial problems. Specifically, we investigate the properties of the Du Fort and Frankel finite difference scheme and experiment with adaptations of the scheme to improve on its consistency properties. The Du Fort and Frankel finite difference scheme is applied to a number of problems that frequently occur in finance. We specifically investigate problems associated with jumps, discontinuous behavior, free boundary problems and multi dimensionality. In each case we consider adaptations to the Du Fort and Frankel scheme in order to produce reliable results. Copyright / Dissertation (MSc)--University of Pretoria, 2009. / Mathematics and Applied Mathematics / unrestricted
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:up/oai:repository.up.ac.za:2263/28658 |
| Date | 12 October 2009 |
| Creators | Bouwer, Abraham |
| Contributors | Prof E Mare, abiebo@nedbank.co.za |
| Source Sets | South African National ETD Portal |
| Detected Language | English |
| Type | Dissertation |
| Rights | © 2008, 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. |
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