Invariant approaches to equations of finance

F. M. Mahomed; K. S. Mahomed; R. Naz; E. Momoniat

doi:10.3390/mca18030244

Invariant approaches to equations of finance

F. M. Mahomed, K. S. Mahomed, R. Naz, E. Momoniat

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	244-250
Number of pages	7
Journal	Mathematical and Computational Applications
Volume	18
Issue number	3
DOIs	https://doi.org/10.3390/mca18030244
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Applied Mathematics

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title = "Invariant approaches to equations of finance",

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.",

author = "Mahomed, \{F. M.\} and Mahomed, \{K. S.\} and R. Naz and E. Momoniat",

year = "2013",

doi = "10.3390/mca18030244",

language = "English",

volume = "18",

pages = "244--250",

journal = "Mathematical and Computational Applications",

issn = "1300-686X",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

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T1 - Invariant approaches to equations of finance

AU - Mahomed, F. M.

AU - Mahomed, K. S.

AU - Naz, R.

AU - Momoniat, E.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84884252071

U2 - 10.3390/mca18030244

DO - 10.3390/mca18030244

M3 - Article

AN - SCOPUS:84884252071

SN - 1300-686X

VL - 18

SP - 244

EP - 250

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

IS - 3

ER -

Invariant approaches to equations of finance

Abstract

ASJC Scopus subject areas

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