Advancing the universality of quadrature methods to any underlying process for option pricing

• 成果类型: Article
• 署名作者: Chen, Ding; Haerkoenen, Hannu J.; Newton, David P.
• 署名单位: University of Nottingham
• 刊物名称: JOURNAL OF FINANCIAL ECONOMICS
• ISSN/ISSBN: 0304-405X
• DOI: 10.1016/j.jfineco.2014.07.014
• 发表日期: 2014
• 页码: 600-612
• 关键词: Universal quadrature; QUAD; option pricing; Numerical techniques; Transition density function

摘要

Exceptional accuracy and speed for option pricing are available via quadrature (Andricopoulos, Widdicks, Duck, and Newton, 2003), extending into multiple dimensions with complex path-dependency and early exercise (Andricopoulos, Widdicks, Newton, and Duck, 2007). However, the exposition is incomplete, leaving many modelling processes outside the Black-Scholes-Merton framework unattainable. We show how to remove the remaining major block to universal application. Although this had appeared highly problematic, the solution turns out to be conceptually simple and implementation is straightforward (we provide code on the Journal of Financial Economics website at http://jfe.rochester.edu). Crucially, the method retains its speed and flexibility across complex combinations of option features but is now applicable across other underlying processes. (C) 2014 The Authors. Published by Elsevier B.V.