An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing
This paper deals with numerical analysis and computing of spread option pricing problem described by a two-spatial variables partial differential equation. Both European and American cases are treated. Taking advantage of a cross derivative removing technique, an explicit difference scheme is develo...
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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2016/1549492 |
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author | R. Company V. N. Egorova L. Jódar |
author_facet | R. Company V. N. Egorova L. Jódar |
author_sort | R. Company |
collection | DOAJ |
description | This paper deals with numerical analysis and computing of spread option pricing problem described by a two-spatial variables partial differential equation. Both European and American cases are treated. Taking advantage of a cross derivative removing technique, an explicit difference scheme is developed retaining the benefits of the one-dimensional finite difference method, preserving positivity, accuracy, and computational time efficiency. Numerical results illustrate the interest of the approach. |
format | Article |
id | doaj-art-f9027ee90e7345a6b7c3f13baff77803 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-f9027ee90e7345a6b7c3f13baff778032025-02-03T06:07:48ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/15494921549492An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and ComputingR. Company0V. N. Egorova1L. Jódar2Instituto de Matemática Multidisciplinar, Universitat Politécnica de Valéncia, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politécnica de Valéncia, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politécnica de Valéncia, Camino de Vera s/n, 46022 Valencia, SpainThis paper deals with numerical analysis and computing of spread option pricing problem described by a two-spatial variables partial differential equation. Both European and American cases are treated. Taking advantage of a cross derivative removing technique, an explicit difference scheme is developed retaining the benefits of the one-dimensional finite difference method, preserving positivity, accuracy, and computational time efficiency. Numerical results illustrate the interest of the approach.http://dx.doi.org/10.1155/2016/1549492 |
spellingShingle | R. Company V. N. Egorova L. Jódar An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing Abstract and Applied Analysis |
title | An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing |
title_full | An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing |
title_fullStr | An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing |
title_full_unstemmed | An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing |
title_short | An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing |
title_sort | efficient method for solving spread option pricing problem numerical analysis and computing |
url | http://dx.doi.org/10.1155/2016/1549492 |
work_keys_str_mv | AT rcompany anefficientmethodforsolvingspreadoptionpricingproblemnumericalanalysisandcomputing AT vnegorova anefficientmethodforsolvingspreadoptionpricingproblemnumericalanalysisandcomputing AT ljodar anefficientmethodforsolvingspreadoptionpricingproblemnumericalanalysisandcomputing AT rcompany efficientmethodforsolvingspreadoptionpricingproblemnumericalanalysisandcomputing AT vnegorova efficientmethodforsolvingspreadoptionpricingproblemnumericalanalysisandcomputing AT ljodar efficientmethodforsolvingspreadoptionpricingproblemnumericalanalysisandcomputing |