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A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh

We study a model of the firm, with perpetual debt and a continuously payable coupon as well as the possibility to raise cash via equity issuance. Excess cash is paid back to shareholders either via dividends or via buybacks. The number of shares changes when equity is issued and when the firm buys b...

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Main Author: Boynton, Matthew
Other Authors: Ouwehand, Peter
Format: Thesis
Language:English
Published: Department of Finance and Tax 2023
Subjects:
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access_status_str Open Access
author Boynton, Matthew
author2 Ouwehand, Peter
author_browse Boynton, Matthew
Ouwehand, Peter
author_facet Ouwehand, Peter
Boynton, Matthew
author_sort Boynton, Matthew
collection Thesis
description We study a model of the firm, with perpetual debt and a continuously payable coupon as well as the possibility to raise cash via equity issuance. Excess cash is paid back to shareholders either via dividends or via buybacks. The number of shares changes when equity is issued and when the firm buys back shares. Using this model we track the total number of shares in issue. Then we use finite difference methods to investigate the differences in pricing options on a fixed portion of equity and options linked to the share price, as well as implications for American options on equity.
format Thesis
id oai:open.uct.ac.za:11427/37973
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:47:25.118Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher Department of Finance and Tax
publisherStr Department of Finance and Tax
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/37973 A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh Boynton, Matthew Ouwehand, Peter Mathematical Finance We study a model of the firm, with perpetual debt and a continuously payable coupon as well as the possibility to raise cash via equity issuance. Excess cash is paid back to shareholders either via dividends or via buybacks. The number of shares changes when equity is issued and when the firm buys back shares. Using this model we track the total number of shares in issue. Then we use finite difference methods to investigate the differences in pricing options on a fixed portion of equity and options linked to the share price, as well as implications for American options on equity. 2023-06-27T12:57:25Z 2023-06-27T12:57:25Z 2023 2023-06-27T12:55:38Z Thesis / Dissertation http://hdl.handle.net/11427/37973 eng application/pdf Department of Finance and Tax Faculty of Commerce
spellingShingle Mathematical Finance
Boynton, Matthew
A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
title A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
title_full A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
title_fullStr A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
title_full_unstemmed A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
title_short A study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
title_sort study on the effect of dilutions and buybacks on the pricing of equity and stock based claims using a finite difference mesh
topic Mathematical Finance
url http://hdl.handle.net/11427/37973
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AT boyntonmatthew studyontheeffectofdilutionsandbuybacksonthepricingofequityandstockbasedclaimsusingafinitedifferencemesh