Accurate Pricing of Continuous Barrier Options with Local Volatility

22 Pages Posted: 25 May 2011

Date Written: May 25, 2011

Abstract

In this paper we develop accurate technics to price continuous barrier options using a one dimensional finite difference scheme, allowing for time dependent drift as well as time and state dependent volatilities. We provide numerical examples which demonstrate the smoothness and accuracy of such methods in the Black-Scholes context as well as in the Dupire Local Volatility model.

Keywords: Barrier Option, Finite Difference, Local Volatility, Smoothing

Suggested Citation

Chibane, Messaoud, Accurate Pricing of Continuous Barrier Options with Local Volatility (May 25, 2011). Available at SSRN: https://ssrn.com/abstract=1852086 or http://dx.doi.org/10.2139/ssrn.1852086

Messaoud Chibane (Contact Author)

Neoma Business School ( email )

1 Rue du Maréchal Juin
Mont Saint Aignan Cedex, 76825
France

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