Symmetrization associated with hyperbolic reflection principle

Autor: Yuuki Ida, Tsuyoshi Kinoshita, Tomohiro Matsumoto
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Pacific Journal of Mathematics for Industry, Vol 10, Iss 1, Pp 1-8 (2018)
Druh dokumentu: article
ISSN: 2198-4115
DOI: 10.1186/s40736-017-0035-2
Popis: Abstract In this paper, in view of application to pricing of Barrier options under a stochastic volatility model, we study a reflection principle for the hyperbolic Brownian motion, and introduce a hyperbolic version of Imamura-Ishigaki-Okumura’s symmetrization. Some results of numerical experiments, which imply the efficiency of the numerical scheme based on the symmetrization, are given.
Databáze: Directory of Open Access Journals
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