Publication
Title
Unifying exotic option closed formulas
Author
Abstract
This paper aims to unify exotic option closed formulas by generalizing a large class of existing formulas and by setting a framework that allows for further generalizations. The formula presented covers options from the plain vanilla to most, if not all, mountain range exotic options and is developed in a multi-asset, multi-currency BlackScholes model with time dependent parameters. It particular, it focuses on payoffs that depend on the distributions of the underlyings prices at multiple but set time horizons. The general formula not only covers existing cases but also enables the combination of diverse features from different types of exotic options. It also creates implicitly a language to describe payoffs that can be used in industrial applications to decouple the functions of payoff definition from pricing functions. Examples of several exotic options are presented, benchmarking the closed formulas performance against Monte Carlo simulations. Results show a consistent over performance of the closed formula reducing calculation time by double digit factors.
Language
English
Source (journal)
Review of derivatives research. - Boston, Mass.
Publication
Boston, Mass. : 2012
ISSN
1380-6645
Volume/pages
15:2(2012), p. 99-128
ISI
000305384300001
Full text (Publishers DOI)
Full text (publishers version - intranet only)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 28.02.2015
Last edited 25.03.2017