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Article

Invariant Approaches to Equations of Finance

1
Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand,Private Bag 3, Wits 2050, South Africa
2
Centre for Mathematics and Statistical Sciences,Lahore School of Economics, Lahore, 53200, Pakistan
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(3), 244-250; https://doi.org/10.3390/mca18030244
Published: 1 December 2013

Abstract

We firstly show how effective it is to utilize the invariant criteria for scalar linear (1+1) parabolic equations in order to perform reductions to the three Lie canonical forms of a bond-pricing model from finance. As a consequence we arrive at new results on bond-pricing equations that admit four nontrivial symmetries. In the second part we draw attention to a new method developed for equations of economics.

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MDPI and ACS Style

Mahomed, F.M.; Mahomed, K.S.; Naz, R.; Momoniat, E. Invariant Approaches to Equations of Finance. Math. Comput. Appl. 2013, 18, 244-250. https://doi.org/10.3390/mca18030244

AMA Style

Mahomed FM, Mahomed KS, Naz R, Momoniat E. Invariant Approaches to Equations of Finance. Mathematical and Computational Applications. 2013; 18(3):244-250. https://doi.org/10.3390/mca18030244

Chicago/Turabian Style

Mahomed, F. M., K. S. Mahomed, R. Naz, and E. Momoniat. 2013. "Invariant Approaches to Equations of Finance" Mathematical and Computational Applications 18, no. 3: 244-250. https://doi.org/10.3390/mca18030244

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