Greeks and partial differential equations for some pricing currency options models

In this study, we consider some pricing currency options models, which are using the Brownian motion, the fractional Broanian motion and the mixed fractional Brownian motion. The partial differential equations for values of European currency options and some Greeks are obtained for all these models....

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Main Authors: Shokrollahi, Foad, Kilicman, Adem, Ibrahim, Noor Akma, Ismail, Fudziah
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2015
Online Access:http://psasir.upm.edu.my/id/eprint/42310/
http://psasir.upm.edu.my/id/eprint/42310/1/5.%20Foad%20Adem.pdf
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author Shokrollahi, Foad
Kilicman, Adem
Ibrahim, Noor Akma
Ismail, Fudziah
author_facet Shokrollahi, Foad
Kilicman, Adem
Ibrahim, Noor Akma
Ismail, Fudziah
author_sort Shokrollahi, Foad
building UPM Institutional Repository
collection Online Access
description In this study, we consider some pricing currency options models, which are using the Brownian motion, the fractional Broanian motion and the mixed fractional Brownian motion. The partial differential equations for values of European currency options and some Greeks are obtained for all these models. In addition, in the fractional environment, that parameter H has huge effect on pricing options, the impact of the Hurst parameter H is presented. Besides, comparing the Greeks for three currency options models are illustrated by some figures.
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spelling upm-423102016-04-13T01:51:54Z http://psasir.upm.edu.my/id/eprint/42310/ Greeks and partial differential equations for some pricing currency options models Shokrollahi, Foad Kilicman, Adem Ibrahim, Noor Akma Ismail, Fudziah In this study, we consider some pricing currency options models, which are using the Brownian motion, the fractional Broanian motion and the mixed fractional Brownian motion. The partial differential equations for values of European currency options and some Greeks are obtained for all these models. In addition, in the fractional environment, that parameter H has huge effect on pricing options, the impact of the Hurst parameter H is presented. Besides, comparing the Greeks for three currency options models are illustrated by some figures. Institute for Mathematical Research, Universiti Putra Malaysia 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/42310/1/5.%20Foad%20Adem.pdf Shokrollahi, Foad and Kilicman, Adem and Ibrahim, Noor Akma and Ismail, Fudziah (2015) Greeks and partial differential equations for some pricing currency options models. Malaysian Journal of Mathematical Sciences, 9 (3). pp. 417-442. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9no3/5.%20Foad%20Adem.pdf
spellingShingle Shokrollahi, Foad
Kilicman, Adem
Ibrahim, Noor Akma
Ismail, Fudziah
Greeks and partial differential equations for some pricing currency options models
title Greeks and partial differential equations for some pricing currency options models
title_full Greeks and partial differential equations for some pricing currency options models
title_fullStr Greeks and partial differential equations for some pricing currency options models
title_full_unstemmed Greeks and partial differential equations for some pricing currency options models
title_short Greeks and partial differential equations for some pricing currency options models
title_sort greeks and partial differential equations for some pricing currency options models
url http://psasir.upm.edu.my/id/eprint/42310/
http://psasir.upm.edu.my/id/eprint/42310/
http://psasir.upm.edu.my/id/eprint/42310/1/5.%20Foad%20Adem.pdf