Implementation of dimension reduction Monte Carlo method to determine option price under six-factor cross currency model

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Abstract

Option pricing determination is important in order to increase profit for investment. In this paper, the dimension reduction Monte Carlo method is implemented to determine put and call European option pricing under a six-factor cross currency model. A six-factor cross currency model is a high-dimensional model which is usually solved using Monte Carlo. However, Monte Carlo requires huge numbers of simulations. This paper uses the dimension reduction Monte Carlo method to reduce the dimension of six-factor cross currency from 6 to 1. By this method, only the factor that is conditioned on is needed to be approximated, that is the variance of spot foreign exchange and its value is approximated using the Milstein method.

Original languageEnglish
Title of host publicationProceedings of the 5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019
EditorsTerry Mart, Djoko Triyono, Tribidasari Anggraningrum Ivandini
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735420014
DOIs
Publication statusPublished - 1 Jun 2020
Event5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019 - Depok, Indonesia
Duration: 9 Jul 201910 Jul 2019

Publication series

NameAIP Conference Proceedings
Volume2242
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019
Country/TerritoryIndonesia
CityDepok
Period9/07/1910/07/19

Keywords

  • dimension reduction Monte Carlo method
  • Milstein method
  • option price
  • Six-factor cross currency model

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