Article ID Journal Published Year Pages File Type
4634313 Applied Mathematics and Computation 2008 13 Pages PDF
Abstract

The valuation partial differential equation of standard European interest rate derivatives in the Cox-Ingersoll-Ross model is analysed. Its one-parameter Lie point symmetries and corresponding group of adjoint representations are obtained. An optimal system of one-dimensional subalgebras is derived and used to construct distinct families of special closed-form solutions of the equation.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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