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Sima Mashayekhi

Sima Mashayekhi

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-3166-3128
Education: PhD.
ScopusId: 56602616500
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
Feedback options in nonlinear numerical finance
Type
JournalPaper
Keywords
Nonlinear PDE’s, Feedback option, boundary value problem, numerical solution.
Year
2012
Journal AIP Conference Proceedings
DOI
Researchers JENS HUGGER ، Sima Mashayekhi

Abstract

Feedback options are options where information about the trading of the underlying asset is fed back into the pricing model. This results in nonlinear pricing models. A survey of the literature about feedback options in finance is presented. The pricing model for the full feedback option on an infinite slab is presented and boundary values on a bounded domain are derived. This bounded, nonlinear, 2 dimensional initial-boundary value problem is solved numerically using a number of standard finite difference schemes and the methods incorporated in the symbolic software Maple™.