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       Forthcoming Articles       Volume 12 Issue 2       Subscribe       Article       References       Cited By       Related articles      
<< firstfirst   < prevprev   Table of contentstoc   next >next   last >>last
Publisher Logo Publication Cover
Search within this journal

Stochastic Volatility Model with Time-dependent Skew 

Author: Vladimir V. Piterbarg a
Affiliation:   a Bank of America, 5 Canada Square, London, E14 5AQ, UK
DOI: 10.1080/1350486042000297225
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 12, Issue 2 June 2005 , pages 147 - 185
Number of References: 7
Formats available: HTML (English) : PDF (English)
Article Requests: Order Reprints : Request Permissions


Abstract

A formula is derived for the 'effective' skew in a stochastic volatility model with a time-dependent local volatility function. The formula relates the total amount of skew generated by the model over a given time period to the time-dependent slope of the instantaneous local volatility function. A new 'effective' volatility approximation is also derived. The utility of the formulas is demonstrated by building a forward Libor model that can be calibrated to swaption smiles that vary across the swaption grid.
Keywords: Stochastic volatility; volatility smile; time-dependent local volatility; effective volatility; effective skew; average skew; homogenization; averaging principle; effective media; forward Libor model; Libor market model; LMM; BGM; volatility calibration; skew calibration
view references (7) : view citations
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