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- Title
An Efficient Algorithm for Simulating the Drawdown Stopping Time and the Running Maximum of a Brownian Motion.
- Authors
Dassios, Angelos; Lim, Jia
- Abstract
We define the drawdown stopping time of a Brownian motion as the first time its drawdown reaches a duration of length 1. In this paper, we propose an efficient algorithm to efficiently simulate the drawdown stopping time and the associated maximum at this time. The method is straightforward and fast to implement, and avoids simulating sample paths thus eliminating discretisation bias. We show how the simulation algorithm is useful for pricing more complicated derivatives such as multiple drawdown options.
- Subjects
COMPUTER simulation; ALGORITHMS; WIENER processes; DISCRETIZATION methods; DERIVATIVES (Mathematics)
- Publication
Methodology & Computing in Applied Probability, 2018, Vol 20, Issue 1, p189
- ISSN
1387-5841
- Publication type
Article
- DOI
10.1007/s11009-017-9542-y