Parisian Time of Reflected Brownian Motion with Drift on Rays and Its Application in Banking

In this paper, we study the Parisian time of a reflected Brownian motion with drift on a finite collection of rays. We derive the Laplace transform of the Parisian time using a recursive method, and provide an exact simulation algorithm to sample from the distribution of the Parisian time. The paper...

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Bibliographic Details
Main Authors: Angelos Dassios, Junyi Zhang
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/8/4/127