Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility

We perform a classification of the Lie point symmetries for the Black-Scholes-Merton Model for European options with stochastic volatility, σ, in which the last is defined by a stochastic differential equation with an Orstein-Uhlenbeck term. In this model, the value of the option is given by a linea...

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Bibliographic Details
Main Authors: Andronikos Paliathanasis, K. Krishnakumar, K.M. Tamizhmani, Peter G.L. Leach
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/4/2/28