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The Vyncke et al. solution for pricing European-style arithmetic Asian options

Includes bibliographical references (leaves 29-31).

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Bibliographic Details
Main Author: Floor, Justin David
Other Authors: West, Graeme
Format: Thesis
Language:English
Published: Division of Actuarial Science 2015
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access_status_str Open Access
author Floor, Justin David
author2 West, Graeme
author_browse Floor, Justin David
West, Graeme
author_facet West, Graeme
Floor, Justin David
author_sort Floor, Justin David
collection Thesis
description Includes bibliographical references (leaves 29-31).
format Thesis
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:33:15.376Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2015
publishDateRange 2015
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publisher Division of Actuarial Science
publisherStr Division of Actuarial Science
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source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/12379 The Vyncke et al. solution for pricing European-style arithmetic Asian options Floor, Justin David West, Graeme Mathematical Finance Includes bibliographical references (leaves 29-31). This paper investigates the European-style arithmetic Asian option pricing solution of Vyncke, Dhaene, and Goovaerts (2004) who apply the concept of comonotonicity to obtain upper and lower bounds for the true option price. A moment-matching formula is used to and a weighted average solution of the two bounds, thereby obtaining a fast approximation to the true price. This method is implemented and tested against an accurate Monte Carlo benchmark and compared with some other well-known closed-form approximations. Although a summary of some of the theoretical aspects underpinning the solution is provided to build intuitive understanding, the focus of the paper lies instead in the empirical analysis. The Vyncke et al. solution is found to be very accurate across a range of input parameters and out-performs competing solutions in some important cases, most notably high volatility and long maturities. 2015-02-04T19:15:39Z 2015-02-04T19:15:39Z 2010 Master Thesis Masters MPhil http://hdl.handle.net/11427/12379 eng application/pdf Division of Actuarial Science Faculty of Commerce University of Cape Town
spellingShingle Mathematical Finance
Floor, Justin David
The Vyncke et al. solution for pricing European-style arithmetic Asian options
thesis_degree_str Master's
title The Vyncke et al. solution for pricing European-style arithmetic Asian options
title_full The Vyncke et al. solution for pricing European-style arithmetic Asian options
title_fullStr The Vyncke et al. solution for pricing European-style arithmetic Asian options
title_full_unstemmed The Vyncke et al. solution for pricing European-style arithmetic Asian options
title_short The Vyncke et al. solution for pricing European-style arithmetic Asian options
title_sort vyncke et al solution for pricing european style arithmetic asian options
topic Mathematical Finance
url http://hdl.handle.net/11427/12379
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