ebooks logo journals logo reference works logo abstract databases logo
bullet  SIGN IN Register | Why Register? | Got a Voucher? alerts   marked lists   shopping cart 

informaworld

HOME   |   SEARCH   |   BROWSE
    Issues List       Latest Issue       Volume 19 Issue 5       Subscribe       Article       References       Related articles      
<< firstfirst   < prevprev   Table of contentstoc   next >next   last >>last
Publisher Logo Publication Cover
Search within this journal
iOpen

Hedging options in market models modulated by the fractional Brownian motion 

Authors: Boualem Djehiche a; M'hamed Eddahbi b
Affiliations:   a Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden
b Faculty of Sciences and Technics, Department of Mathematics and Computer Sciences, Cadi Ayyad University, Marrakech, Morocco
DOI: 10.1081/SAP-120000220
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 19, Issue 5 October 2001 , pages 753 - 770
Formats available: HTML (English) : PDF (English)
Article Requests: Order Reprints : Request Permissions


Abstract

We use the stochastic calculus of variations for the fractional Brownian motion to derive formulas for the replicating portfolios for a class of contingent claims in a Bachelier and a Black-Scholes markets modulated by fractional Brownian motion. An example of such a model is the Black-Scholes process whose volatility solves a stochastic differential equation driven by a fractional Brownian motion that may depend on the underlying Brownian motion.
Keywords: Fractional Brownian motion; Stochastic volatility; Stochastic calculus of variations; Hedging options
view references (12)
Bookmark with:
  • CiteULike
  • Del.icio.us
  • BibSonomy
  • Connotea
  • More bookmarks
Privacy Policy | Terms & Conditions | Accessibility | RSS
FAQs in: English . Français . Español . 中文(简体和繁體)
© 2009 Informa plc