Black-Scholes Equation with Distributed Order in Time

Maria Luísa Morgado, Magda Rebelo

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this work we consider a Black-Scholes model which consists of a generalization of a fractional Black-Scholes equation model proposed previously. A numerical scheme is presented to solve such type of models and some numerical results are presented for European double-knock out barrier options. In this way, we are able to conclude that this generalized model is able to describe other scenarios than the ones described with the classical (integer-order) and the fractional Black-Scholes models.
Original languageEnglish
Title of host publicationPROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2018
EditorsI. Faragó, F. Izsák, P. Simon
Place of PublicationCham
PublisherSpringer
Pages313-319
ISBN (Electronic)978-3-030-27550-1
ISBN (Print)978-3-030-27549-5
DOIs
Publication statusPublished - 2019

Publication series

NameMathematics in Industry-Cham
PublisherSpringer
Volume30
ISSN (Print)1612-3956
ISSN (Electronic)2198-3283

Fingerprint

Dive into the research topics of 'Black-Scholes Equation with Distributed Order in Time'. Together they form a unique fingerprint.

Cite this