Brownian excursions in a corridor and related Parisian options

Dassios, Angelos ORCID: 0000-0002-3968-2366 and Wu, Shanle (2011) Brownian excursions in a corridor and related Parisian options. . Department of Statistics, London School of Economics and Political Science, London, UK. (Submitted)

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Abstract

In this paper, we study the excursion time of a Brownian motion with drift inside a corridor by using a four states semi-Markov model. In mathematical finance these results have an important application in the valuation of options whose prices depend on the time their underlying assets prices spend between two different values. In this paper, we introduce the Parisian corridor option and obtain an explicit expression for the Laplace transform of its price formula.

Item Type:	Monograph (Working Paper)
Official URL:	http://www2.lse.ac.uk/statistics/home.aspx
Additional Information:	© 2011 The Authors
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	02 Feb 2011 16:26
Last Modified:	11 Dec 2024 19:03
URI:	http://eprints.lse.ac.uk/id/eprint/32042

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