Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach

We present a Lie algebraic technique for the valuation of multi-asset financial derivatives with time-dependent parameters. Exploiting the dynamical symmetry of the pricing partial differential equations of the financial derivatives, the new method enables us to derive analytical closed-form pricing...

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Main Authors: C. F. Lo, C. H. Hui
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120211101X
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author C. F. Lo
C. H. Hui
author_facet C. F. Lo
C. H. Hui
author_sort C. F. Lo
collection DOAJ
description We present a Lie algebraic technique for the valuation of multi-asset financial derivatives with time-dependent parameters. Exploiting the dynamical symmetry of the pricing partial differential equations of the financial derivatives, the new method enables us to derive analytical closed-form pricing formulae very straightforwardly. We believe that this new approach will provide an efficient and easy-to-use method for the valuation of financial derivatives.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2002-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-5808f134bec54edd92b75cd02f5dd0122025-02-03T01:20:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132740141010.1155/S016117120211101XPricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approachC. F. Lo0C. H. Hui1Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong KongBanking Policy Department, Hong Kong Monetary Authority, 30th Floor, 3 Garden Road, Hong KongWe present a Lie algebraic technique for the valuation of multi-asset financial derivatives with time-dependent parameters. Exploiting the dynamical symmetry of the pricing partial differential equations of the financial derivatives, the new method enables us to derive analytical closed-form pricing formulae very straightforwardly. We believe that this new approach will provide an efficient and easy-to-use method for the valuation of financial derivatives.http://dx.doi.org/10.1155/S016117120211101X
spellingShingle C. F. Lo
C. H. Hui
Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
International Journal of Mathematics and Mathematical Sciences
title Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
title_full Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
title_fullStr Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
title_full_unstemmed Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
title_short Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
title_sort pricing multi asset financial derivatives with time dependent parameters lie algebraic approach
url http://dx.doi.org/10.1155/S016117120211101X
work_keys_str_mv AT cflo pricingmultiassetfinancialderivativeswithtimedependentparametersliealgebraicapproach
AT chhui pricingmultiassetfinancialderivativeswithtimedependentparametersliealgebraicapproach