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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Format: | Article |
Language: | English |
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Wiley
2002-01-01
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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 |
id | doaj-art-5808f134bec54edd92b75cd02f5dd012 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2002-01-01 |
publisher | Wiley |
record_format | Article |
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 |