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Contribution Details

Type Book Chapter
Scope Discipline-based scholarship
Title Some combinations of Asian, Parisian, and barrier options
Organization Unit
Authors
  • Marc Chesney
  • Hélyette German
  • Monique Jeanblanc-Picqué
  • M Yor
Editors
  • Michael A H Dempster
  • Stanley R Pliska
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Booktitle Mathematics of Derivatives Securities
ISBN 9780521584241
Place of Publication Cambridge
Publisher Cambridge University Press
Page Range 61 - 87
Date 1997
Abstract Text This article addresses some of the valuation problems, in the Black and Scholes setting of a geometric Brownian motion for the underlying asset dynamics, for options whose pay-off is related to the terminal price of the stock and an arithmetic average of fixing and/or involves stopping times related to excursions. In all cases, we are able to provide at least the Laplace transform in time of the option price under a form whose complexity varies with the number of exotic features. We emphasize that we do not give closed form formulas for the general case, but we aim to develop a methodology which may be used in many cases.
Official URL https://www.cambridge.org/ch/universitypress/subjects/mathematics/mathematical-finance/mathematics-derivative-securities
Other Identification Number merlin-id:13238
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