Recursive formula for the double barrier Parisian stopping time
Dassios, Angelos
; and Lim, Jia Wei
(2018)
Recursive formula for the double barrier Parisian stopping time
Journal of Applied Probability, 55 (1).
pp. 282-301.
ISSN 0021-9002
In this paper, we obtain a recursive formula for the density of the double barrier Parisian stopping time. We present a probabilistic proof of the formula for the first few steps of the recursion, and then a formal proof using explicit Laplace inversions. These results provide an efficient computational method for pricing double barrier Parisian options.
| Item Type | Article |
|---|---|
| Copyright holders | © 2017 The Author |
| Keywords | Brownian excursions, Parisian stopping times, Double-sidedParisian options |
| Departments | Statistics |
| DOI | 10.1017/jpr.2018.17 |
| Date Deposited | 20 Nov 2017 09:27 |
| Acceptance Date | 2017-11-03 |
| URI | https://researchonline.lse.ac.uk/id/eprint/85643 |
Explore Further
- http://www.lse.ac.uk/Statistics/People/Professor-Angelos-Dassios.aspx (Author)
- http://www.cambridge.org/ (Official URL)
ORCID: https://orcid.org/0000-0002-3968-2366